Table of contents for issues of Journal of the Society for Industrial and Applied Mathematics: Series B, Numerical Analysis

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Volume 1, Number ??, 1964
Volume 2, Number 1, 1965
Volume 2, Number 2, 1965
Volume 2, Number 3, 1965
Volume 3, Number 1, March, 1966
Volume 3, Number 2, June, 1966
Volume 3, Number 3, September, 1966
Volume 3, Number 4, December, 1966
Volume 4, Number 1, March, 1967
Volume 4, Number 2, June, 1967
Volume 4, Number 3, September, 1967
Volume 4, Number 4, December, 1967
Volume 5, Number 1, March, 1968
Volume 5, Number 2, June, 1968
Volume 5, Number 3, September, 1968
Volume 5, Number 4, December, 1968
Volume 6, Number 1, March, 1969
Volume 6, Number 2, June, 1969
Volume 6, Number 3, September, 1969
Volume 6, Number 4, December, 1969
Volume 7, Number 1, March, 1970
Volume 7, Number 2, June, 1970
Volume 7, Number 3, September, 1970
Volume 7, Number 4, December, 1970
Volume 8, Number 1, March, 1971
Volume 8, Number 2, June, 1971
Volume 8, Number 3, September, 1971
Volume 8, Number 4, December, 1971
Volume 9, Number 1, March, 1972
Volume 9, Number 2, June, 1972
Volume 9, Number 3, September, 1972
Volume 9, Number 4, December, 1972
Volume 10, 1973
Volume 10, Number 1, March, 1973
Volume 10, Number 2, April, 1973
Volume 10, Number 3, June, 1973
Volume 10, Number 4, September, 1973
Volume 10, Number 5, October, 1973
Volume 10, Number 6, December, 1973
Volume 11, Number 1, March, 1974
Volume 11, Number 2, April, 1974
Volume 11, Number 3, June, 1974
Volume 11, Number 4, September, 1974
Volume 11, Number 5, October, 1974
Volume 11, Number 6, December, 1974
Volume 12, Number 1, March, 1975
Volume 12, Number 2, April, 1975
Volume 12, Number 3, June, 1975
Volume 12, Number 4, September, 1975
Volume 12, Number 5, October, 1975
Volume 12, Number 6, December, 1975
Volume 13, Number 1, March, 1976
Volume 13, Number 2, April, 1976
Volume 13, Number 3, June, 1976
Volume 13, Number 4, September, 1976
Volume 13, Number 5, October, 1976
Volume 13, Number 6, December, 1976
Volume 14, Number 1, March, 1977
Volume 14, Number 2, April, 1977
Volume 14, Number 3, June, 1977
Volume 14, Number 4, September, 1977
Volume 14, Number 5, September, 1977
Volume 14, Number 6, December, 1977
Volume 15, Number 1, February, 1978
Volume 15, Number 2, April, 1978
Volume 15, Number 3, June, 1978
Volume 15, Number 4, August, 1978
Volume 15, Number 5, October, 1978
Volume 15, Number 6, December, 1978
Volume 16, Number 1, February, 1979
Volume 16, Number 2, April, 1979
Volume 16, Number 3, June, 1979
Volume 16, Number 4, August, 1979
Volume 16, Number 5, October, 1979
Volume 16, Number 6, December, 1979
Volume 17, Number 1, February, 1980
Volume 17, Number 2, April, 1980
Volume 17, Number 3, June, 1980
Volume 17, Number 4, August, 1980
Volume 17, Number 5, October, 1980
Volume 17, Number 6, December, 1980
Volume 18, Number 1, February, 1981
Volume 18, Number 2, April, 1981
Volume 18, Number 3, June, 1981
Volume 18, Number 4, August, 1981
Volume 18, Number 5, October, 1981
Volume 18, Number 6, December, 1981
Volume 19, Number 1, February, 1982
Volume 19, Number 2, April, 1982
Volume 19, Number 3, June, 1982
Volume 19, Number 4, August, 1982
Volume 19, Number 5, October, 1982
Volume 19, Number 6, December, 1982
Volume 20, Number 1, February, 1983
Volume 20, Number 2, April, 1983
Volume 20, Number 3, June, 1983
Volume 20, Number 4, August, 1983
Volume 20, Number 5, October, 1983
Volume 20, Number 6, December, 1983
Volume 21, Number 1, February, 1984
Volume 21, Number 2, April, 1984
Volume 21, Number 3, June, 1984
Volume 21, Number 4, August, 1984
Volume 21, Number 5, October, 1984
Volume 21, Number 6, December, 1984
Volume 22, Number 1, February, 1985
Volume 22, Number 2, April, 1985
Volume 22, Number 3, June, 1985
Volume 22, Number 4, August, 1985
Volume 22, Number 5, October, 1985
Volume 22, Number 6, December, 1985
Volume 23, Number 1, February, 1986
Volume 23, Number 2, April, 1986
Volume 23, Number 3, June, 1986
Volume 23, Number 4, August, 1986
Volume 23, Number 5, October, 1986
Volume 23, Number 6, December, 1986
Volume 24, Number 1, February, 1987
Volume 24, Number 2, April, 1987
Volume 24, Number 3, June, 1987
Volume 24, Number 4, August, 1987
Volume 24, Number 5, October, 1987
Volume 24, Number 6, December, 1987
Volume 25, Number 1, February, 1988
Volume 25, Number 2, April, 1988
Volume 25, Number 3, June, 1988
Volume 25, Number 4, August, 1988
Volume 25, Number 5, October, 1988
Volume 25, Number 6, December, 1988
Volume 26, Number 1, February, 1989
Volume 26, Number 2, April, 1989
Volume 26, Number 3, June, 1989
Volume 26, Number 4, August, 1989
Volume 26, Number 5, October, 1989
Volume 26, Number 6, December, 1989
Volume 27, Number 1, February, 1990
Volume 27, Number 2, April, 1990
Volume 27, Number 3, June, 1990
Volume 27, Number 4, August, 1990
Volume 27, Number 5, October, 1990
Volume 27, Number 6, December, 1990
Volume 28, Number 1, February, 1991
Volume 28, Number 2, April, 1991
Volume 28, Number 3, June, 1991
Volume 28, Number 4, August, 1991
Volume 28, Number 5, October, 1991
Volume 28, Number 6, December, 1991
Volume 29, Number 1, February, 1992
Volume 29, Number 2, April, 1992
Volume 29, Number 3, June, 1992
Volume 29, Number 4, August, 1992
Volume 29, Number 5, October, 1992
Volume 29, Number 6, December, 1992
Volume 30, Number 1, February, 1993
Volume 30, Number 2, April, 1993
Volume 30, Number 3, June, 1993
Volume 30, Number 4, September, 1993
Volume 30, Number 5, October, 1993
Volume 30, Number 6, December, 1993
Volume 31, Number 1, February, 1994
Volume 31, Number 2, April, 1994
Volume 31, Number 3, June, 1994
Volume 31, Number 4, August, 1994
Volume 31, Number 5, October, 1994
Volume 31, Number 6, December, 1994
Volume ??, Number ??, 1994
Volume 32, Number 1, February, 1995
Volume 32, Number 2, April, 1995
Volume 32, Number 3, June, 1995
Volume 32, Number 4, August, 1995
Volume 32, Number 5, October, 1995
Volume 32, Number 6, December, 1995
Volume 33, Number 1, February, 1996
Volume 33, Number 2, April, 1996
Volume 33, Number 3, June, 1996
Volume 33, Number 4, August, 1996
Volume 33, Number 5, October, 1996
Volume 33, Number 6, December, 1996
Volume 34, Number 1, February, 1997
Volume 34, Number 2, April, 1997
Volume 34, Number 3, June, 1997
Volume 34, Number 4, August, 1997
Volume 34, Number 5, October, 1997
Volume 34, Number 6, December, 1997
Volume 35, Number 1, February, 1998
Volume 35, Number 2, April, 1998
Volume 35, Number 3, June, 1998
Volume 35, Number 4, August, 1998
Volume 35, Number 5, October, 1998
Volume 35, Number 6, December, 1998
Volume 36, Number 1, February, 1999
Volume 36, Number 2, April, 1999
Volume 36, Number 3, June, 1999
Volume 36, Number 4, August, 1999
Volume 36, Number 5, October, 1999
Volume 36, Number 6, December, 1999


Journal of the Society for Industrial and Applied Mathematics: Series B, Numerical Analysis
Volume 1, Number ??, 1964

              Cornelius Lanczos   Introduction . . . . . . . . . . . . . . 1--1
                   P. L. Butzer   Saturation and Approximation . . . . . . 2--10
               E. W. Cheney and   
                     H. L. Loeb   Generalized Rational Approximation . . . 11--25
                 C. W. Clenshaw   A Comparison of ``Best'' Polynomial
                                  Approximations with Truncated Chebyshev
                                  Series Expansions  . . . . . . . . . . . 26--37
                      J. Favard   On the Comparison of the Processes of
                                  Summation  . . . . . . . . . . . . . . . 38--52
              T. N. E. Greville   Numerical Procedures for Interpolation
                                  by Spline Functions  . . . . . . . . . . 53--68
              Preston C. Hammer   Topologies of Approximation  . . . . . . 69--75
                     C. Lanczos   Evaluation of Noisy Data . . . . . . . . 76--85
                     C. Lanczos   A Precision Approximation of the Gamma
                                  Function . . . . . . . . . . . . . . . . 86--96
                  G. G. Lorentz   Entropy and Its Applications . . . . . . 97--103
                A. M. Ostrowski   On Approximation of Equations by
                                  Algebraic Equations  . . . . . . . . . . 104--130
                   T. J. Rivlin   A Property of the Ratio of Trigonometric
                                  Polynomials  . . . . . . . . . . . . . . 131--132
                    L. A. Rubel   Bounded Polynomial Approximation . . . . 133--136
                   D. D. Stancu   The Remainder of Certain Linear
                                  Approximation Formulas in Two Variables  137--163
                     E. Stiefel   Methods --- Old and New --- For Solving
                                  the Tchebycheff Approximation Problem    164--176
                        P. Wynn   On Some Recent Developments in the
                                  Theory and Application of Continued
                                  Fractions  . . . . . . . . . . . . . . . 177--197


Journal of the Society for Industrial and Applied Mathematics: Series B, Numerical Analysis
Volume 2, Number 1, 1965

              J. H. Bramble and   
                  B. E. Hubbard   A Finite Difference Analog of the
                                  Neumann Problem for Poisson's Equation   1--14
             D. G. Moursund and   
                   A. H. Stroud   The Best Çeby\vsev Approximation to a
                                  Function and its Derivative on $n + 2$
                                  Points . . . . . . . . . . . . . . . . . 15--23
                  James E. Gunn   The Solution of Elliptic Difference
                                  Equations by Semi-Explicit Iterative
                                  Techniques . . . . . . . . . . . . . . . 24--45
                 Gilbert Strang   Unbalanced Polynomials and Difference
                                  Methods for Mixed Problems . . . . . . . 46--51
                    Don Secrest   Numerical Integration of Arbitrarily
                                  Spaced Data and Estimation of Errors . . 52--68
                     C. W. Gear   Hybrid Methods for Initial Value
                                  Problems in Ordinary Differential
                                  Equations  . . . . . . . . . . . . . . . 69--86
               J. R. Cannon and   
                   Keith Miller   Some Problems in Numerical Analytic
                                  Continuation . . . . . . . . . . . . . . 87--98
               Randall E. Cline   Representations for the Generalized
                                  Inverse of Sums of Matrices  . . . . . . 99--114
                      W. Oettli   On the Solution Set of a Linear System
                                  with Inaccurate Coefficients . . . . . . 115--118
               K. W. Morton and   
                   S. Schechter   On the Stability of Finite Difference
                                  Matrices . . . . . . . . . . . . . . . . 119--128
               A. H. Stroud and   
                   D. D. Stancu   Quadrature Formulas with Multiple
                                  Gaussian Nodes . . . . . . . . . . . . . 129--143
               I. J. Schoenberg   On Monosplines of Least Deviation and
                                  Best Quadrature Formulae . . . . . . . . 144--170
                  Wayne T. Ford   Mathematical Programming and
                                  Integro-Differential Equations . . . . . 171--202
                   P. L. Butzer   Errata: ``Saturation and Approximation''
                                  [J. Soc. Ind. Appl. Math., Ser. B Numer.
                                  anal. \bf 1] (1964), 2-10  . . . . . . . 203--203
                A. M. Ostrowski   Errata: ``On Approximation of Equations
                                  by Algebraic Equations'' [J. Soc. Ind.
                                  Appl. Math., Ser. B Numer. anal. \bf 1]
                                  (1964), 104--130 . . . . . . . . . . . . 203--203

Journal of the Society for Industrial and Applied Mathematics: Series B, Numerical Analysis
Volume 2, Number 2, 1965

                G. H. Golub and   
                       W. Kahan   Calculating the Singular Values and
                                  Pseudo-Inverse of a Matrix . . . . . . . 205--224
                 F. W. J. Olver   On the Asymptotic Solutions of
                                  Second-Order Differential Equations
                                  having an Irregular Singularity of Rank
                                  One, with an Application to Whittaker
                                  Functions  . . . . . . . . . . . . . . . 225--243
             F. W. J. Olver and   
                     F. Stenger   Error Bounds for Asymptotic Solutions of
                                  Second-Order Differential Equations
                                  having an Irregular Singularity of
                                  Arbitrary Rank . . . . . . . . . . . . . 244--249
                    A. Meir and   
                      A. Sharma   On the Method of Romberg Quadrature  . . 250--258
                       I. Navot   The Euler--Maclaurin Functional for
                                  Functions with a Complex Singularity
                                  Near the Range of Integration  . . . . . 259--264
                Hans J. Stetter   A Study of Strong and Weak Stability in
                                  Discretization Algorithms  . . . . . . . 265--280
              Herbert B. Keller   On the Solution of Singular and
                                  Semidefinite Linear Systems by Iteration 281--290
                  W. Oettli and   
                  W. Prager and   
                J. H. Wilkinson   Admissible Solutions of Linear Systems
                                  with Not Sharply Defined Coefficients    291--299
                  E. E. Osborne   Smallest Least Squares Solutions of
                                  Linear Equations . . . . . . . . . . . . 300--307
                   Eldon Hansen   Interval Arithmetic in Matrix
                                  Computations, Part I . . . . . . . . . . 308--320
             Robert E. Barnhill   The Convergence of Quadratures on
                                  Complex Contours . . . . . . . . . . . . 321--336
                   Milos Zlamal   Asymptotic Error Estimates in Solving
                                  Elliptic Equations of the Fourth Order
                                  by the Method of Finite Differences  . . 337--344
              Donald V. Steward   Partitioning and Tearing Systems of
                                  Equations  . . . . . . . . . . . . . . . 345--365

Journal of the Society for Industrial and Applied Mathematics: Series B, Numerical Analysis
Volume 2, Number 3, 1965

            Philip J. Davis and   
              Philip Rabinowitz   Ignoring the Singularity in Approximate
                                  Integration  . . . . . . . . . . . . . . 367--383
               William B. Gragg   On Extrapolation Algorithms for Ordinary
                                  Initial Value Problems . . . . . . . . . 384--403
                W. V. Petryshyn   Constructional Proof of Lax-Milgram
                                  Lemma and Its Application to
                                  Non-${K}$-P.D. Abstract and Differential
                                  Operator Equations . . . . . . . . . . . 404--420
            Ivan Erdélyi   An Iterative Least-Square Algorithm
                                  Suitable for Computing Partial
                                  Eigensystems . . . . . . . . . . . . . . 421--436
                    J. F. Traub   The Principle of Differentiated
                                  Quotients  . . . . . . . . . . . . . . . 437--439
                    Don Secrest   Error Bounds for Interpolation and
                                  Differentiation by the Use of Spline
                                  Functions  . . . . . . . . . . . . . . . 440--447
                Bert E. Hubbard   Alternating Direction Schemes for the
                                  Heat Equation in a General Domain  . . . 448--463
                 D. G. Moursund   Some Computational Aspects of the
                                  Uniform Approximation of a Function and
                                  Its Derivative . . . . . . . . . . . . . 464--472
                   M. A. Hanson   Error Bounds in Constrained Best
                                  Approximation  . . . . . . . . . . . . . 473--479
                   A. H. Stroud   Error Estimates for Romberg Quadrature   480--488
                 R. A. Spinelli   Poisson Equation on a Sphere . . . . . . 489--499
              Seymour V. Parter   Numerical Methods for Generalized
                                  Axially Symmetric Potentials . . . . . . 500--516


SIAM Journal on Numerical Analysis
Volume 3, Number 1, March, 1966

                  J. H. Bramble   Error Estimates for Difference Methods
                                  in Forced Vibration Problems . . . . . . 1--12
               G. T. McAllister   Quasilinear Uniformly Elliptic Partial
                                  Differential Equations and Difference
                                  Equations  . . . . . . . . . . . . . . . 13--33
                     H. L. Loeb   Approximation by Generalized Rationals   34--55
                  J. E. Midgley   Calculation of Subdominant Solutions of
                                  Linear Differential Equations  . . . . . 56--66
                  Peter Henrici   An Algorithm for Analytic Continuation   67--78
                  R. B. Kellogg   An Error Estimate for Elliptic
                                  Difference Equations on a Convex Polygon 79--90
                        P. Wynn   On the Convergence and Stability of the
                                  Epsilon Algorithm  . . . . . . . . . . . 91--122
                  Gerald Berman   Minimization by Successive Approximation 123--133
                     Leon Wegge   On a Discrete Version of the
                                  Newton--Raphson Method . . . . . . . . . 134--142
            James M. Ortega and   
           Werner C. Rheinboldt   On Discretization and Differentiation of
                                  Operators with Application to Newton's
                                  Method . . . . . . . . . . . . . . . . . 143--156
              T. N. E. Greville   On Stability of Linear Smoothing
                                  Formulas . . . . . . . . . . . . . . . . 157--170

SIAM Journal on Numerical Analysis
Volume 3, Number 2, June, 1966

                   D. V. Widder   Joseph Leonard Walsh . . . . . . . . . . 171--172
              J. H. Ahlberg and   
                   E. N. Nilson   The Approximation of Linear Functionals  173--182
                Lars V. Ahlfors   Remarks on Carleman's Formula for
                                  Functions in a Halfplane . . . . . . . . 183--187
                G. Birkhoff and   
                 C. De Boor and   
                  B. Swartz and   
                    B. Wendroff   Rayleigh--Ritz Approximation by
                                  Piecewise Cubic Polynomials  . . . . . . 188--203
                  J. H. Curtiss   Solutions of the Dirichlet Problem in
                                  the Plane by Approximation with Faber
                                  Polynomials  . . . . . . . . . . . . . . 204--228
                     J. L. Doob   Remarks on the Boundary Limits of
                                  Harmonic Functions . . . . . . . . . . . 229--235
                  O. J. Farrell   On Approximation Measured by a Surface
                                  Integral . . . . . . . . . . . . . . . . 236--247
                   Dieter Gaier   On the Coefficients and the Growth of
                                  Gap Power Series . . . . . . . . . . . . 248--265
                  Maurice Heins   On the Pseudoperiods of the Weierstrass
                                  Zeta Functions . . . . . . . . . . . . . 266--268
                  Morris Marden   A Generalization of a Theorem of Bocher  269--275
            Theodore S. Motzkin   Approximation in the Sense of a Deviator
                                  Integral . . . . . . . . . . . . . . . . 276--286
                   John R. Rice   A Theory of Condition  . . . . . . . . . 287--310
               T. J. Rivlin and   
                   E. W. Cheney   A Comparison of Uniform Approximations
                                  on an Interval and a Finite Subset
                                  Thereof  . . . . . . . . . . . . . . . . 311--320
               I. J. Schoenberg   On Monosplines of Least Square Deviation
                                  and Best Quadrature Formulae II  . . . . 321--328
                   W. E. Sewell   Integrated Lipschitz Conditions and
                                  Approximation in the Mean by
                                  Interpolating Polynomials  . . . . . . . 329--343
                   W. E. Sewell   Remarks on the Mathematical Researches
                                  of J. L. Walsh . . . . . . . . . . . . . 344--348
                      O. Shisha   On Infrapolynomials with Prescribed
                                  Center of Gravity of Their Zeros . . . . 349--354
               Richard S. Varga   On a Discrete Maximum Principle  . . . . 355--359
                  Mishael Zedek   On Approximation by Solutions of
                                  Ordinary Linear Differential Equations   360--365

SIAM Journal on Numerical Analysis
Volume 3, Number 3, September, 1966

                  Wayne T. Ford   Mathematical Programming and Linear
                                  Operators in Frechet Spaces  . . . . . . 367--371
                 Neil M. Wigley   On the Convergence of Discrete
                                  Approximations to Solutions of Mixed
                                  Boundary Value Problems  . . . . . . . . 372--382
                  Wayne T. Ford   Mathematical Programming and
                                  Integro-Differential Equations: II.
                                  Variable Coefficients  . . . . . . . . . 383--389
                   G. F. Miller   On the Convergence of the Chebyshev
                                  Series for Functions Possessing a
                                  Singularity in the Range of
                                  Representation . . . . . . . . . . . . . 390--409
             Adi Ben-Israel and   
                      Dan Cohen   On Iterative Computation of Generalized
                                  Inverses and Associated Projections  . . 410--419
                   A. H. Stroud   Estimating Quadrature Errors for
                                  Functions with Low Continuity  . . . . . 420--424
               F. Max Stein and   
              R. G. Huffstutler   The Approximate Solution of Riccati's
                                  Equation . . . . . . . . . . . . . . . . 425--434
              David G. Moursund   Chebyshev Approximation Using a
                                  Generalized Weight Function  . . . . . . 435--450
               J. R. Cannon and   
                Maria M. Cecchi   The Numerical Solution of Some
                                  Biharmonic Problems by Mathematical
                                  Programming Techniques . . . . . . . . . 451--466
                      John Gary   A Generalization of the Lax--Richtmyer
                                  Theorem on Finite Difference Schemes . . 467--473
              A. R. Gourlay and   
                 A. R. Mitchell   Two-Level Difference Schemes for
                                  Hyperbolic Systems . . . . . . . . . . . 474--485
                   E. P. Merkes   On Truncation Errors for Continued
                                  Fraction Computations  . . . . . . . . . 486--496
            James M. Ortega and   
              Maxine L. Rockoff   Nonlinear Difference Equations and
                                  Gauss--Seidel Type Iterative Methods . . 497--513
              Samuel Karlin and   
                    Zvi Ziegler   Chebyshevian Spline Functions  . . . . . 514--543

SIAM Journal on Numerical Analysis
Volume 3, Number 4, December, 1966

                   Dennis Eisen   Stability and Convergence of Finite
                                  Difference Schemes with Singular
                                  Coefficients . . . . . . . . . . . . . . 545--552
                    A. Meir and   
                      A. Sharma   Simultaneous Approximation of a Function
                                  and its Derivatives  . . . . . . . . . . 553--563
                  Alfred Brauer   A Method for the Computation of the
                                  Greatest Root of a Nonnegative Matrix    564--569
           Jim Douglas, Jr. and   
               A. O. Garder and   
                    Carl Pearcy   Multistage Alternating Direction Methods 570--581
                      Ben Noble   A Method for Computing the Generalized
                                  Inverse of a Matrix  . . . . . . . . . . 582--584
                 Adi Ben-Israel   On Error Bounds for Generalized Inverses 585--592
              J. Douglas Lawson   An Order Five Runge--Kutta Process with
                                  Extended Region of Stability . . . . . . 593--597
                  C. R. Cassity   Solutions of the Fifth-Order
                                  Runge--Kutta Equations . . . . . . . . . 598--606
                 L. F. Shampine   Monotone Iterations and Two-Sided
                                  Convergence  . . . . . . . . . . . . . . 607--615
           Mary Louise Buchanan   Norms of Powers of Matrices in a Special
                                  Class  . . . . . . . . . . . . . . . . . 616--623
              Max K. Miller and   
                 W. T. Guy, Jr.   Numerical Inversion of the Laplace
                                  Transform by Use of Jacobi Polynomials   624--635
                 R. A. Spinelli   Numerical Inversion of a Laplace
                                  Transform  . . . . . . . . . . . . . . . 636--649
            Stephen M. Robinson   Interpolative Solution of Systems of
                                  Nonlinear Equations  . . . . . . . . . . 650--658


SIAM Journal on Numerical Analysis
Volume 4, Number 1, March, 1967

               Eldon Hansen and   
                  Roberta Smith   Interval Arithmetic in Matrix
                                  Computations, Part II  . . . . . . . . . 1--9
                James W. Daniel   The Conjugate Gradient Method for Linear
                                  and Nonlinear Operator Equations . . . . 10--26
                 Victor Pereyra   Iterative Methods for Solving Nonlinear
                                  Least Squares Problems . . . . . . . . . 27--36
                   A. H. Stroud   Some Seventh Degree Integration Formulas
                                  for Symmetric Regions  . . . . . . . . . 37--44
                 John E. Osborn   Approximation of the Eigenvalues of a
                                  Class of Unbounded, Nonself-Adjoint
                                  Operators  . . . . . . . . . . . . . . . 45--54
                   Vidar Thomee   Generally Unconditionally Stable
                                  Difference Operators . . . . . . . . . . 55--69
                   Karl H. Usow   On ${L}_1$ Approximation I: Computation
                                  for Continuous Functions and Continuous
                                  Dependence . . . . . . . . . . . . . . . 70--88
                     L. Fox and   
                 P. Henrici and   
                       C. Moler   Approximations and Bounds for
                                  Eigenvalues of Elliptic Operators  . . . 89--102
              J. E. Dennis, Jr.   On Newton's Method and Nonlinear
                                  Simultaneous Displacements . . . . . . . 103--108
              T. M. Whitney and   
                    R. K. Meany   Two Algorithms Related to the Method of
                                  Steepest Descent . . . . . . . . . . . . 109--118
                       B. Dejon   Numerical Stability of Difference
                                  Equations with Matrix Coefficients . . . 119--128
               Richard S. Varga   Abstract: Some Applications of Numerical
                                  Analysis to Physical Problems  . . . . . 129--129

SIAM Journal on Numerical Analysis
Volume 4, Number 2, June, 1967

               Pierre Jamet and   
              Seymour V. Parter   Numerical Methods for Elliptic
                                  Differential Equations whose
                                  Coefficients are Singular on a Portion
                                  of the Boundary  . . . . . . . . . . . . 131--146
               J. R. Cannon and   
                Maria M. Cecchi   Numerical Experiments on the Solution of
                                  Some Biharmonic Problems by Mathematical
                                  Programming Techniques . . . . . . . . . 147--154
                    C. W. Cryer   The Difference Analogue of Gauss'
                                  Theorem  . . . . . . . . . . . . . . . . 155--162
             G. Fairweather and   
                 A. R. Mitchell   A New Computational Procedure for A.D.I.
                                  Methods  . . . . . . . . . . . . . . . . 163--170
            James M. Ortega and   
           Werner C. Rheinboldt   Monotone Iterations for Nonlinear
                                  Equations with Application to
                                  Gauss--Seidel Methods  . . . . . . . . . 171--190
              Philip Rabinowitz   Gaussian Integration in the Presence of
                                  a Singularity  . . . . . . . . . . . . . 191--201
               J. N. Lyness and   
                    C. B. Moler   Numerical Differentiation of Analytic
                                  Functions  . . . . . . . . . . . . . . . 202--210
                    J. L. Walsh   On the Convergence of Sequences of
                                  Rational Functions . . . . . . . . . . . 211--221
              J. E. Dennis, Jr.   A Stationary Newton Method for Nonlinear
                                  Functional Equations . . . . . . . . . . 222--232
                   Karl H. Usow   On ${L}_1$ Approximation II: Computation
                                  for Discrete Functions and
                                  Discretization Effects . . . . . . . . . 233--244
                 P. M. Anselone   Uniform Approximation Theory for
                                  Integral Equations with Discontinuous
                                  Kernels  . . . . . . . . . . . . . . . . 245--253
               W. B. Sweezy and   
                    W. J. Thron   Estimates of the Speed of Convergence of
                                  Certain Continued Fractions  . . . . . . 254--270
             A. H. Zemanian and   
                 R. P. Tewarson   The Numerical Evaluation of
                                  Distributional Transforms  . . . . . . . 271--282
                   D. Gries and   
                       J. Stoer   Some Results on Fields of Values of a
                                  Matrix . . . . . . . . . . . . . . . . . 283--300
                   J. N. Lyness   The Calculation of Fourier Coefficients  301--315

SIAM Journal on Numerical Analysis
Volume 4, Number 3, September, 1967

               J. R. Cannon and   
               Jim Douglas, Jr.   The Cauchy Problem for the Heat Equation 317--336
            Kendall E. Atkinson   The Numerical Solution of Fredholm
                                  Integral Equations of the Second Kind    337--348
                   Dennis Eisen   On the Construction of Consistent Finite
                                  Difference Schemes with Certain
                                  Invariant Subspaces  . . . . . . . . . . 349--356
                Walter Gautschi   Numerical Quadrature in the Presence of
                                  a Singularity  . . . . . . . . . . . . . 357--362
                 H. L. Gray and   
                 T. A. Atchison   Nonlinear Transformations Related to the
                                  Evaluation of Improper Integrals. I  . . 363--371
              J. Douglas Lawson   Generalized Runge--Kutta Processes for
                                  Stable Systems with Large Lipschitz
                                  Constants  . . . . . . . . . . . . . . . 372--380
                   A. H. Stroud   Integration Formulas and Orthogonal
                                  Polynomials  . . . . . . . . . . . . . . 381--389
             Robert E. Barnhill   Optimal Quadratures in
                                  ${L}^2({E}_\rho)$. I . . . . . . . . . . 390--397
                John H. Rowland   On the Structure of the Error Curve in
                                  Chebyshev Approximation by Polynomials   398--405
           James S. Vandergraft   Newton's Method for Convex Operators in
                                  Partially Ordered Spaces . . . . . . . . 406--432
          Frank R. Loscalzo and   
               Thomas D. Talbot   Spline Function Approximations for
                                  Solutions of Ordinary Differential
                                  Equations  . . . . . . . . . . . . . . . 433--445
             John D. Brooks and   
                  David A. Pope   Asymptotic Error Estimates and the
                                  Numerical Solution of the Equations of
                                  Orbital Motion . . . . . . . . . . . . . 446--456
                   Dennis Eisen   On the Numerical Analysis of a Fourth
                                  Order Wave Equation  . . . . . . . . . . 457--464
                 R. A. Spinelli   Poisson Equation on a Sphere. II . . . . 465--473
                       W. Kahan   Laguerre's Method and a Circle Which
                                  Contains at Least One Zero of a
                                  Polynomial . . . . . . . . . . . . . . . 474--482

SIAM Journal on Numerical Analysis
Volume 4, Number 4, December, 1967

              Karl L. E. Nickel   Extension of a Recent Paper by Fox,
                                  Henrici and Moler on Eigenvalues of
                                  Elliptic Operators . . . . . . . . . . . 483--488
                 G. J. Kurowski   The Semidiscrete Riemann Function  . . . 489--498
                 R. P. Tewarson   A Direct Method for Generalized Matrix
                                  Inversion  . . . . . . . . . . . . . . . 499--507
                 Victor Pereyra   Accelerating the Convergence of
                                  Discretization Algorithms  . . . . . . . 508--533
             Robert E. Barnhill   Optimal Quadratures in
                                  ${L}^2({E}_\rho)$. II  . . . . . . . . . 534--541
                      A. Pelios   Rational Function Approximation as a
                                  Well-Conditioned Matrix Eigenvalue
                                  Problem  . . . . . . . . . . . . . . . . 542--547
                Gary P. Herring   A Note on Generalized Interpolation and
                                  the Pseudoinverse  . . . . . . . . . . . 548--556
                   John R. Rice   Characterization of Chebyshev
                                  Approximations by Splines  . . . . . . . 557--565
                Lloyd Rosenberg   Bernstein Polynomials and Monte Carlo
                                  Integration  . . . . . . . . . . . . . . 566--574
                 Richard Saylor   Numerical Elliptic Continuation  . . . . 575--581
                     James Hurt   Some Stability Theorems for Ordinary
                                  Difference Equations . . . . . . . . . . 582--596
              Robert J. Lambert   An Analysis of the Numerical Stability
                                  of Predictor-Corrector Solutions of
                                  Nonlinear Ordinary Differential
                                  Equations  . . . . . . . . . . . . . . . 597--606
                H. P. Konen and   
                   H. A. Luther   Some Singular Explicit Fifth Order
                                  Runge--Kutta Solutions . . . . . . . . . 607--619
              J. Douglas Lawson   An Order Six Runge--Kutta Process with
                                  Extended Region of Stability . . . . . . 620--625
                   Milos Zlamal   Discretization and Error Estimates for
                                  Elliptic Boundary Value Problems of the
                                  Fourth Order . . . . . . . . . . . . . . 626--639


SIAM Journal on Numerical Analysis
Volume 5, Number 1, March, 1968

              J. H. Bramble and   
              B. E. Hubbard and   
                      M. Zlamal   Discrete Analogues of the Dirichlet
                                  Problem with Isolated Singularities  . . 1--25
               R. Bruce Simpson   Approximation of the Minimizing Element
                                  for a Class of Functionals . . . . . . . 26--41
           Werner C. Rheinboldt   A Unified Convergence Theory for a Class
                                  of Iterative Processes . . . . . . . . . 42--63
                C. B. Moler and   
                    L. E. Payne   Bounds for Eigenvalues and Eigenvectors
                                  of Symmetric Operators . . . . . . . . . 64--70
                Burton Wendroff   Well-Posed Problems and Stable
                                  Difference Operators . . . . . . . . . . 71--82
              David D. Morrison   Optimization by Least Squares  . . . . . 83--88
            Kendall E. Atkinson   On the Order of Convergence of Natural
                                  Cubic Spline Interpolation . . . . . . . 89--101
                   J. Abate and   
                      H. Dubner   A New Method for Generating Power Series
                                  Expansions of Functions  . . . . . . . . 102--112
                 C. A. Hall and   
                     J. Spanier   Nested Bounds for the Spectral Radius    113--125
                 D. G. Moursund   Computational Aspects of Chebyshev
                                  Approximation Using a Generalized Weight
                                  Function . . . . . . . . . . . . . . . . 126--137
             D. G. Moursund and   
                   G. D. Taylor   Optimal Starting Values for the
                                  Newton--Raphson Calculation of Inverses
                                  of Certain Functions . . . . . . . . . . 138--150
               Charles A. Bryan   Approximate Solutions to Nonlinear
                                  Integral Equations . . . . . . . . . . . 151--155
            H. H. Rachford, Jr.   Rounding Errors in Parabolic Problems.
                                  I: The One-Space Variable Case . . . . . 156--171
                   M. M. Chawla   On the Estimation of Errors of Gaussian
                                  Cubature Formulas  . . . . . . . . . . . 172--181
               Randall E. Cline   Inverses of Rank Invariant Powers of a
                                  Matrix . . . . . . . . . . . . . . . . . 182--197

SIAM Journal on Numerical Analysis
Volume 5, Number 2, June, 1968

              Richard Askey and   
                    James Fitch   Positivity of the Cotes Numbers for Some
                                  Ultraspherical Abscissas . . . . . . . . 199--201
                   Minoru Urabe   Roundoff Error Distribution in
                                  Fixed-Point Multiplication and a Remark
                                  about the Rounding Rule  . . . . . . . . 202--210
               J. R. Cannon and   
                 C. Denson Hill   A Finite-Difference Method for
                                  Degenerate Elliptic-Parabolic Equations  211--218
                 L. F. Shampine   Boundary Value Problems for Ordinary
                                  Differential Equations . . . . . . . . . 219--242
               A. H. Stroud and   
            Edward H. Goit, Jr.   Some Extensions of Integration Formulas  243--251
           John E. Buchanan and   
               Donald H. Thomas   On Least-Squares Fitting of
                                  Two-Dimensional Data with a Special
                                  Structure  . . . . . . . . . . . . . . . 252--257
                   G. D. Taylor   On Approximation by Polynomials Having
                                  Restricted Ranges  . . . . . . . . . . . 258--268
                 C. A. Hall and   
                T. A. Porsching   Computing the Maximal Eigenvalue and
                                  Eigenvector of a Positive Matrix . . . . 269--274
                   J. R. Cannon   Determination of an Unknown Heat Source
                                  from Overspecified Boundary Data . . . . 275--286
          Otto Neall Strand and   
                Ed R. Westwater   Minimum-RMS Estimation of the Numerical
                                  Solution of a Fredholm Integral Equation
                                  of the First Kind  . . . . . . . . . . . 287--295
              L. W. Johnson and   
                   D. R. Scholz   On Steffensen's Method . . . . . . . . . 296--302
             M. Stuart Lynn and   
             William P. Timlake   The Use of Multiple Deflations in the
                                  Numerical Solution of Singular Systems
                                  of Equations, with Applications to
                                  Potential Theory . . . . . . . . . . . . 303--322
                   Julius Smith   The Coupled Equation Approach to the
                                  Numerical Solution of the Biharmonic
                                  Equation by Finite Differences. I  . . . 323--339
 F. de la Vallée Poussin   An Accelerated Relaxation Algorithm for
                                  Iterative Solution of Elliptic Equations 340--351
                 Ralph L. James   The Numerical Solution of Singular
                                  Volterra Integral Equations  . . . . . . 352--362
                 G. W. Hedstrom   The Rate of Convergence of Some
                                  Difference Schemes . . . . . . . . . . . 363--406
            H. H. Rachford, Jr.   Rounding Errors in Alternating Direction
                                  Methods for Parabolic Problems . . . . . 407--421
                  Frank Stenger   Kronecker Product Extensions of Linear
                                  Operators  . . . . . . . . . . . . . . . 422--435
                       R. Hersh   On the Theory of Difference Schemes for
                                  Mixed Initial Boundary Value Problems    436--450
             T. A. Atchison and   
                     H. L. Gray   Nonlinear Transformations Related to the
                                  Evaluation of Improper Integrals. II . . 451--459

SIAM Journal on Numerical Analysis
Volume 5, Number 3, September, 1968

                 Manfred Reimer   Bounds for the Horner Sums . . . . . . . 461--469
                 C. A. Hall and   
                T. A. Porsching   Computing the Maximal Eigenvalue and
                                  Eigenvector of a Nonnegative Irreducible
                                  Matrix . . . . . . . . . . . . . . . . . 470--474
                 R. J. Thompson   On Some Functional Differential
                                  Equations: Existence of Solutions and
                                  Difference Approximations  . . . . . . . 475--487
                    A. Meir and   
                      A. Sharma   An Extension of Obreshkov's Formula  . . 488--490
                C. S. Duris and   
               V. P. Sreedharan   Chebyshev and $l^1$-Solutions of Linear
                                  Equations Using Least Squares Solutions  491--505
                 Gilbert Strang   On the Construction and Comparison of
                                  Difference Schemes . . . . . . . . . . . 506--517
              Jean-Pierre Aubin   Best Approximation of Linear Operators
                                  in Hilbert Spaces  . . . . . . . . . . . 518--521
         Robert E. Barnhill and   
                 James A. Wixom   An Error Analysis for Interpolation of
                                  Analytic Functions . . . . . . . . . . . 522--529
               Herbert L. Stone   Iterative Solution of Implicit
                                  Approximations of Multidimensional
                                  Partial Differential Equations . . . . . 530--558
                Todd Dupont and   
         Richard P. Kendall and   
            H. H. Rachford, Jr.   An Approximate Factorization Procedure
                                  for Solving Self-Adjoint Elliptic
                                  Difference Equations . . . . . . . . . . 559--573
                R. C. Jones and   
                L. A. Karlovitz   Iterative Construction of Constrained
                                  Chebyshev Approximation of Continuous
                                  Functions  . . . . . . . . . . . . . . . 574--585
                  David Slepian   A Numerical Method for Determining the
                                  Eigenvalues and Eigenfunctions of
                                  Analytic Kernels . . . . . . . . . . . . 586--600
               Samuel Schechter   Relaxation Methods for Convex Problems   601--612
           Robert E. Huddleston   Maximum Principle Methods for the
                                  Discretization Error in the
                                  Approximation of the Bergman Harmonic
                                  Kernel by Finite Difference Methods  . . 613--625
                   Vidar Thomee   Discrete Interior Schauder Estimates for
                                  Elliptic Difference Operators  . . . . . 626--645

SIAM Journal on Numerical Analysis
Volume 5, Number 4, December, 1968

                Larry Schumaker   Uniform Approximation by Chebyshev
                                  Spline Functions. II: Free Knots . . . . 647--656
               J. W. Jerome and   
                L. L. Schumaker   A Note on Obtaining Natural Spline
                                  Functions by the Abstract Approach of
                                  Atteia and Laurent . . . . . . . . . . . 657--663
              Harold J. Kushner   On the Numerical Solution of Degenerate
                                  Linear and Nonlinear Elliptic Boundary
                                  Value Problems . . . . . . . . . . . . . 664--679
           Joel N. Franklin and   
             Eugene R. Rodemich   Numerical Analysis of an
                                  Elliptic-Parabolic Partial Differential
                                  Equation . . . . . . . . . . . . . . . . 680--716
                 C. Denson Hill   On the Numerical Solution of Degenerate
                                  Elliptic-Parabolic Equations . . . . . . 717--724
                 Manfred Reimer   Finite Difference Forms Containing
                                  Derivatives of Higher Order  . . . . . . 725--738
                Gunter H. Meyer   On Solving Nonlinear Equations with a
                                  One-Parameter Operator Imbedding . . . . 739--752
                    Todd Dupont   A Factorization Procedure for the
                                  Solution of Elliptic Difference
                                  Equations  . . . . . . . . . . . . . . . 753--782
        Christopher T. H. Baker   On the Nature of Certain Quadrature
                                  Formulas and Their Errors  . . . . . . . 783--804
                     Peter Wynn   Upon the Padé Table Derived from a
                                  Stieltjes Series . . . . . . . . . . . . 805--834
              J. H. Bramble and   
                  B. E. Hubbard   Effects of Boundary Regularity on the
                                  Discretization Error in the Fixed
                                  Membrane Eigenvalue Problem  . . . . . . 835--863
                  A. Sharma and   
                      J. Prasad   On Abel--Hermite--Birkhoff Interpolation 864--881
             D. G. Moursund and   
                   G. D. Taylor   Uniform Rational Approximation Using a
                                  Generalized Weight Function  . . . . . . 882--889


SIAM Journal on Numerical Analysis
Volume 6, Number 1, March, 1969

                      G. Wilson   Factorization of the Covariance
                                  Generating Function of a Pure Moving
                                  Average Process  . . . . . . . . . . . . 1--7
              Herbert B. Keller   Accurate Difference Methods for Linear
                                  Ordinary Differential Systems Subject to
                                  Linear Constraints . . . . . . . . . . . 8--30
            L. L. Schumaker and   
                   G. D. Taylor   On Approximation by Polynomials Having
                                  Restricted Ranges. II  . . . . . . . . . 31--36
              A. R. Gourlay and   
                 A. R. Mitchell   The Equivalence of Certain Alternating
                                  Direction and Locally One-Dimensional
                                  Difference Methods . . . . . . . . . . . 37--46
              J. D. P. Donnelly   Eigenvalues of Membranes with Reentrant
                                  Corners  . . . . . . . . . . . . . . . . 47--61
              A. R. Gourlay and   
                 A. R. Mitchell   A Classification of Split Difference
                                  Methods for Hyperbolic Equations in
                                  Several Space Dimensions . . . . . . . . 62--71
                   T. S. Tucker   Stability of Nonlinear Computing Schemes 72--81
             Robert E. Barnhill   The Convergence of Complex Cubatures . . 82--89
                   A. H. Stroud   A Fifth Degree Integration Formula for
                                  the $n$-Simplex  . . . . . . . . . . . . 90--98
              Geneva G. Belford   An Initial Value Problem Approach to the
                                  Solution of Eigenvalue Problems  . . . . 99--103
                    R. K. Meany   A Matrix Inequality  . . . . . . . . . . 104--107
                   M. M. Chawla   On Davis's Method for the Estimation of
                                  Errors of Gauss--Chebyshev Quadratures   108--117
                John H. Rowland   On the Location of the Deviation Points
                                  in Chebyshev Approximation by
                                  Polynomials  . . . . . . . . . . . . . . 118--126
       Charlotte F. Fischer and   
                 Riaz A. Usmani   Properties of Some Tridiagonal Matrices
                                  and Their Application to Boundary Value
                                  Problems . . . . . . . . . . . . . . . . 127--142
                 Myron S. Henry   A Best Approximate Solution of Certain
                                  Nonlinear Differential Equations . . . . 143--148
               J. R. Cannon and   
             George H. Knightly   The Approximation of the Solution to the
                                  Heat Equation in a Half-Strip from Data
                                  Specified on the Bounding
                                  Characteristics  . . . . . . . . . . . . 149--159

SIAM Journal on Numerical Analysis
Volume 6, Number 2, June, 1969

              Martin H. Schultz   ${L}^\infty$-Multivariate Approximation
                                  Theory . . . . . . . . . . . . . . . . . 161--183
              Martin H. Schultz   ${L}^2$-Multivariate Approximation
                                  Theory . . . . . . . . . . . . . . . . . 184--209
           William B. Jones and   
                    R. I. Snell   Truncation Error Bounds for Continued
                                  Fractions  . . . . . . . . . . . . . . . 210--221
                   A. H. Stroud   Integration Formulas and Orthogonal
                                  Polynomials for Two Variables  . . . . . 222--229
                K. Atkinson and   
                      A. Sharma   A Partial Characterization of Poised
                                  Hermite--Birkhoff Interpolation Problems 230--235
              Theodore Katsanis   Numerical Solution of Tricomi Equation
                                  Using Theory of Symmetric Positive
                                  Differential Equations . . . . . . . . . 236--253
               David W. Kammler   An Error Bound for Capacitance
                                  Calculations . . . . . . . . . . . . . . 254--257
                  R. B. Simpson   The Rayleigh--Ritz Process for the
                                  Simplest Problem in the Calculus of
                                  Variations . . . . . . . . . . . . . . . 258--271
           Stanley E. Weinstein   Solution of Nonlinear Equations by
                                  Iterative Procedures which Use
                                  Approximation Techniques . . . . . . . . 272--283
                 H. L. Loeb and   
             D. G. Moursund and   
            L. L. Schumaker and   
                   G. D. Taylor   Uniform Generalized Weight Function
                                  Polynomial Approximation with
                                  Interpolation  . . . . . . . . . . . . . 284--293
                   Ian Gladwell   Some Extensions of a Paper by Birkhoff
                                  and Priver . . . . . . . . . . . . . . . 294--298
           Tomasz Pietrzykowski   An Exact Potential Method for
                                  Constrained Maxima . . . . . . . . . . . 299--304
               F. J. Schuurmann   Uniqueness in the Uniform Approximation
                                  of a Function and Its Derivatives  . . . 305--315

SIAM Journal on Numerical Analysis
Volume 6, Number 3, September, 1969

                Olin G. Johnson   Error Bounds for Sturm--Liouville
                                  Eigenvalue Approximations by Several
                                  Piecewise Cubic Rayleigh--Ritz Methods   317--333
             Yasuhiko Ikebe and   
             M. Stuart Lynn and   
             William P. Timlake   The Numerical Solution of the Integral
                                  Equation Formulation of the Single
                                  Interface Neumann Problem  . . . . . . . 334--346
              S. M. Roberts and   
              J. S. Shipman and   
                    W. J. Ellis   A Perturbation Technique for Nonlinear
                                  Two-Point Boundary Value Problems  . . . 347--358
            Thomas H. Jefferson   Truncation Error Estimates for
                                  ${T}$-Fractions  . . . . . . . . . . . . 359--364
                     Peter Linz   Numerical Methods for Volterra Integral
                                  Equations with Singular Kernels  . . . . 365--374
               Kendall Atkinson   The Numerical Solution of Integral
                                  Equations on the Half-Line . . . . . . . 375--397
                M. J. D. Powell   The Local Dependence of Least Squares
                                  Cubic Splines  . . . . . . . . . . . . . 398--413
                 L. F. Shampine   Boundary Value Problems for Ordinary
                                  Differential Equations. II: Patch Bases
                                  and Monotone Methods . . . . . . . . . . 414--431
                  C. R. Cassity   The Complete Solution of the Fifth Order
                                  Runge--Kutta Equations . . . . . . . . . 432--436
                T. A. Porsching   Jacobi and Gauss--Seidel Methods for
                                  Nonlinear Network Problems . . . . . . . 437--449
         Robert E. Barnhill and   
                 James A. Wixom   An Error Analysis for the Bivariate
                                  Interpolation of Analytic Functions  . . 450--457
                   Pierre Jamet   Numerical Solution of the Dirichlet
                                  Problem for Elliptic Parabolic Equations 458--466
              Martin H. Schultz   ${L}^2$-Approximation Theory of Even
                                  Order Multivariate Splines . . . . . . . 467--475
              John J. H. Miller   The Construction of Unbalanced
                                  Difference Operators for Parabolic
                                  Initial Boundary Value Problems  . . . . 476--479
               Eduardo L. Ortiz   The Tau Method . . . . . . . . . . . . . 480--492
              J. E. Dennis, Jr.   On the Kantorovich Hypothesis for
                                  Newton's Method  . . . . . . . . . . . . 493--507
              Bertil Gustafsson   On Difference Approximations to
                                  Hyperbolic Differential Equations Over
                                  Long Time Intervals  . . . . . . . . . . 508--522

SIAM Journal on Numerical Analysis
Volume 6, Number 4, December, 1969

              Martin H. Schultz   Rayleigh--Ritz--Galerkin Methods for
                                  Multidimensional Problems  . . . . . . . 523--538
               Richard A. Tapia   The Weak Newton Method and Boundary
                                  Value Problems . . . . . . . . . . . . . 539--550
               David K. Kahaner   On Equal and Almost Equal Weight
                                  Quadrature Formulas  . . . . . . . . . . 551--556
                R. D. Riess and   
                  L. W. Johnson   Estimating Gauss--Chebyshev Quadrature
                                  Errors . . . . . . . . . . . . . . . . . 557--559
               Kenneth M. Brown   A Quadratically Convergent Newton-Like
                                  Method Based Upon Gaussian Elimination   560--569
              Martin H. Schultz   Approximation Theory of Multivariate
                                  Spline Functions in Sobolev Spaces . . . 570--582
              J. H. Bramble and   
                      V. Thomee   Pointwise Bounds for Discrete Green's
                                  Functions  . . . . . . . . . . . . . . . 583--590
                  David Glasser   Numerical Solution of Two-Point Boundary
                                  Value Problems on Total Differential
                                  Equations  . . . . . . . . . . . . . . . 591--597
          Gerald N. Minerbo and   
                Maurice E. Levy   Inversion of Abel's Integral Equation by
                                  Means of Orthogonal Polynomials  . . . . 598--616


SIAM Journal on Numerical Analysis
Volume 7, Number 1, March, 1970

             Chandler Davis and   
                    W. M. Kahan   The Rotation of Eigenvectors by a
                                  Perturbation. III  . . . . . . . . . . . 1--46
             Werner Liniger and   
            Ralph A. Willoughby   Efficient Integration Methods for Stiff
                                  Systems of Ordinary Differential
                                  Equations  . . . . . . . . . . . . . . . 47--66
                   Nira Richter   Properties of Minimal Integration Rules  67--78
                    J. B. Rosen   Approximate Solution and Error Bounds
                                  for Quasi-Linear Elliptic Boundary Value
                                  Problems . . . . . . . . . . . . . . . . 80--103
                   Julius Smith   The Coupled Equation Approach to the
                                  Numerical Solution of the Biharmonic
                                  Equation by Finite Differences. II . . . 104--111
              J. H. Bramble and   
                  S. R. Hilbert   Estimation of Linear Functionals on
                                  Sobolev Spaces with Application to
                                  Fourier Transforms and Spline
                                  Interpolation  . . . . . . . . . . . . . 112--124
                  Raphael Loewy   Gerschgorin-Type Theorems for
                                  Partitioned Matrices . . . . . . . . . . 125--128
                 Myron S. Henry   A Sequence of Best Approximate Solutions
                                  of $y'' = {F}(x,y,y')$ . . . . . . . . . 129--133
                M. Wayne Wilson   Necessary and Sufficient Conditions for
                                  Equidistant Quadrature Formula . . . . . 134--141
                  A. J. Keeping   Band Matrices Arising from Finite
                                  Difference Approximations to a Third
                                  Order Partial Differential Equation  . . 142--156
                  Yonathan Bard   Comparison of Gradient Methods for the
                                  Solution of Nonlinear Parameter
                                  Estimation Problems  . . . . . . . . . . 157--186
                Walter Gautschi   Efficient Computation of the Complex
                                  Error Function . . . . . . . . . . . . . 187--198

SIAM Journal on Numerical Analysis
Volume 7, Number 2, June, 1970

                  Stanley Osher   Mesh Refinements for the Heat Equation   199--205
               James R. Kuttler   Finite Difference Approximations for
                                  Eigenvalues of Uniformly Elliptic
                                  Operators  . . . . . . . . . . . . . . . 206--232
                     L. Wuytack   Some Remarks on a Paper of D. G.
                                  Moursund . . . . . . . . . . . . . . . . 233--237
                  Gray Jennings   Digital Filtering of Random Digits . . . 238--247
               G. D. Taylor and   
                   M. J. Winter   Calculation of Best Restricted
                                  Approximations . . . . . . . . . . . . . 248--255
                  N. F. Stewart   Certain Equivalent Requirements of
                                  Approximate Solutions of $x' = f(t, x)$  256--270
                   A. H. Stroud   Integration Formulas and Orthogonal
                                  Polynomials. II  . . . . . . . . . . . . 271--276
                James W. Daniel   A Correction Concerning the Convergence
                                  Rate for the Conjugate Gradient Method   277--280
                   Fred W. Dorr   The Numerical Solution of Singular
                                  Perturbations of Boundary Value Problems 281--313
              Bernard H. Rosman   Extension of Results by Rice and
                                  Schumaker on Spline Approximation  . . . 314--316
    Christopher T. H. Baker and   
           Pauline A. Radcliffe   Error Bounds for Some Chebyshev Methods
                                  of Approximation and Integration . . . . 317--327

SIAM Journal on Numerical Analysis
Volume 7, Number 3, September, 1970

                       Jet Wimp   Derivative-Free Iteration Processes  . . 329--334
            S.-A. Gustafson and   
             K. O. Kortanek and   
                         W. Rom   Non-Chebyshevian Moment Problems . . . . 335--342
                S.-A. Gustafson   On the Computational Solution of a Class
                                  of Generalized Moment Problems . . . . . 343--357
                   M. Z. Nashed   Steepest Descent for Singular Linear
                                  Operator Equations . . . . . . . . . . . 358--362
                   Frank Lether   An Error Representation for Product
                                  Cubature Rules . . . . . . . . . . . . . 363--365
                   D. F. Shanno   Parameter Selection for Modified Newton
                                  Methods for Function Minimization  . . . 366--372
                   J. H. Verner   Quadratures for Implicit Differential
                                  Equations  . . . . . . . . . . . . . . . 373--385
                Zdislav Kovarik   Some Iterative Methods for Improving
                                  Orthonormality . . . . . . . . . . . . . 386--389
            David G. Luenberger   The Conjugate Residual Method for
                                  Constrained Minimization Problems  . . . 390--398
               David L. Russell   Numerical Solution of Singular Initial
                                  Value Problems . . . . . . . . . . . . . 399--417
                   Karl Scherer   On the Best Approximation of Continuous
                                  Functions by Splines . . . . . . . . . . 418--423
                    Henryk Minc   On the Maximal Eigenvector of a Positive
                                  Matrix . . . . . . . . . . . . . . . . . 424--427
                      J. Prasad   On the Weighted (0,2) Interpolation  . . 428--446
                   S. N. Afriat   The Progressive Support Method for
                                  Convex Programming . . . . . . . . . . . 447--457
              J. D. P. Donnelly   Bounds for the Eigenvalues of
                                  Self-Adjoint Operators . . . . . . . . . 458--478

SIAM Journal on Numerical Analysis
Volume 7, Number 4, December, 1970

                  G. Peters and   
                J. H. Wilkinson   $Ax = \lambda Bx$ and the Generalized
                                  Eigenproblem . . . . . . . . . . . . . . 479--492
               Richard S. Varga   Minimal Gerschgorin Sets for Partitioned
                                  Matrices . . . . . . . . . . . . . . . . 493--507
             Hans Schneider and   
        Mathukumalli Vidyasagar   Cross-Positive Matrices  . . . . . . . . 508--519
              D. K. Faddeev and   
                 V. N. Faddeeva   Natural Norms in Algebraic Processes . . 520--531
            V. N. Kublanovskaya   On an Approach to the Solution of the
                                  Generalized Latent Value Problem for
                                  $\lambda$-Matrices . . . . . . . . . . . 532--537
                  Peter Henrici   Upper Bounds for the Abscissa of
                                  Stability of a Stable Polynomial . . . . 538--544
              M. A. Jenkins and   
                    J. F. Traub   A Three-Stage Algorithm for Real
                                  Polynomials Using Quadratic Iteration    545--566
                A. M. Ostrowski   A Theorem on Clusters of Roots of
                                  Polynomial Equations . . . . . . . . . . 567--570
            Alan J. Hoffman and   
               Richard S. Varga   Patterns of Dependence in
                                  Generalizations of Gerschgorin's Theorem 571--574
           Jim Douglas, Jr. and   
                    Todd Dupont   Galerkin Methods for Parabolic Equations 575--626
               B. L. Buzbee and   
                G. H. Golub and   
                  C. W. Nielson   On Direct Methods for Solving Poisson's
                                  Equations  . . . . . . . . . . . . . . . 627--656


SIAM Journal on Numerical Analysis
Volume 8, Number 1, March, 1971

        Christopher T. H. Baker   The Deferred Approach to the Limit for
                                  Eigenvalues of Integral Equations  . . . 1--10
            Robert S. Stepleman   Finite-Dimensional Analogues of
                                  Variational Problems in the Plane  . . . 11--23
               Irene Gargantini   The Numerical Stability of the
                                  Schur--Cohn Criterion  . . . . . . . . . 24--29
                   John Roulier   Linear Operators Invariant on
                                  Nonnegative Monotone Functions . . . . . 30--35
                Frank G. Lether   Cubature Error Bounds for
                                  Gauss--Legendre Product Rules  . . . . . 36--42
              G. G. Lorentz and   
                   K. L. Zeller   Birkhoff Interpolation . . . . . . . . . 43--48
                Frank G. Lether   Error Bounds for Fully Symmetric
                                  Cubature Rules . . . . . . . . . . . . . 49--60
             E. David Callender   Single Step Methods and Low Order
                                  Splines for Solutions of Ordinary
                                  Differential Equations . . . . . . . . . 61--66
                     D. Kershaw   A Note on the Convergence of
                                  Interpolatory Cubic Splines  . . . . . . 67--74
           David K. Kahaner and   
                   J. L. Ullman   Equal Weight Quadrature on Infinite
                                  Intervals  . . . . . . . . . . . . . . . 75--79
                Gary G. Sackett   An Implicit Free Boundary Problem for
                                  the Heat Equation  . . . . . . . . . . . 80--96
              A. Bacopoulos and   
                        B. Gaff   On the Reduction of a Problem of
                                  Minimization of $n + 1$ Variables to a
                                  Problem of One Variable  . . . . . . . . 97--103
      James M. Garnett, III and   
             Adi Ben-Israel and   
                 Stephen S. Yau   A Hyperpower Iterative Method for
                                  Computing Matrix Products Involving the
                                  Generalized Inverse  . . . . . . . . . . 104--109
Ruben J. Espinosa-Maldonado and   
                George D. Byrne   On the Convergence of Quadrature
                                  Formulas . . . . . . . . . . . . . . . . 110--114
              Lois E. Mansfield   On the Optimal Approximation of Linear
                                  Functionals in Spaces of Bivariate
                                  Functions  . . . . . . . . . . . . . . . 115--126
                Robert G. Voigt   Rates of Convergence for a Class of
                                  Iterative Procedures . . . . . . . . . . 127--134
             George A. Costello   The Approximate Solution of the
                                  Dirichlet Problem by Means of Integral
                                  Equations  . . . . . . . . . . . . . . . 135--136
         John Donelson, III and   
                   Eldon Hansen   Cyclic Composite Multistep
                                  Predictor-Corrector Methods  . . . . . . 137--157
              William J. Gordon   Blending-Function Methods of Bivariate
                                  and Multivariate Interpolation and
                                  Approximation  . . . . . . . . . . . . . 158--177

SIAM Journal on Numerical Analysis
Volume 8, Number 2, June, 1971

           Stanley E. Weinstein   Product Approximations of Functions of
                                  Several Variables  . . . . . . . . . . . 178--189
                  R. B. Simpson   Finite Difference Methods for Mildly
                                  Nonlinear Eigenvalue Problems  . . . . . 190--211
                  F. N. Fritsch   On Self-Contained Numerical Integration
                                  Formulas for Symmetric Regions . . . . . 213--221
                Robert G. Voigt   Orders of Convergence for Iterative
                                  Procedures . . . . . . . . . . . . . . . 222--243
                 Kenneth Schoen   Fifth and Sixth Order PECE Algorithms
                                  with Improved Stability Properties . . . 244--248
                Frank G. Lether   A Generalized Product Rule for the
                                  Circle . . . . . . . . . . . . . . . . . 249--253
                    Jane Cullum   Numerical Differentiation and
                                  Regularization . . . . . . . . . . . . . 254--265
                   N. K. Madsen   Pointwise Convergence of the
                                  Three-Dimensional Discrete Ordinate
                                  Method . . . . . . . . . . . . . . . . . 266--269
                   M. D. Hebden   A Bound on the Difference Between the
                                  Chebyshev Norm and the Holder Norms of a
                                  Function . . . . . . . . . . . . . . . . 270--277
               Louis W. Ehrlich   Solving the Biharmonic Equation as
                                  Coupled Finite Difference Equations  . . 278--287
                  A. J. Keeping   On Certain Almost-Triangular Band
                                  Matrices . . . . . . . . . . . . . . . . 288--303
                  Ivo Babu\vska   The Rate of Convergence for the Finite
                                  Element Method . . . . . . . . . . . . . 304--315
             Bruce A. Finlayson   Convergence of the Galerkin Method for
                                  Nonlinear Problems Involving Chemical
                                  Reaction . . . . . . . . . . . . . . . . 316--324
                  Jorge J. More   Global Convergence of
                                  Newton--Gauss--Seidel Methods  . . . . . 325--336
                  J. D. Lambert   Predictor-Corrector Algorithms with
                                  Identical Regions of Stability . . . . . 337--344
                  M. N. Spijker   Reduction of Roundoff Error by Splitting
                                  of Difference Formulas . . . . . . . . . 345--357
       Å. Björck and   
                       C. Bowie   An Iterative Algorithm for Computing the
                                  Best Estimate of an Orthogonal Matrix    358--364
                 H. L. Gray and   
             T. A. Atchison and   
               G. V. McWilliams   Higher Order ${G}$-Transformations . . . 365--381
                    Josef Stoer   On the Numerical Solution of Constrained
                                  Least-Squares Problems . . . . . . . . . 382--411
                M. E. A. El-Tom   On Ignoring the Singularity in
                                  Approximate Integration  . . . . . . . . 412--424
                     A. A. Grau   The Simultaneous Newton Improvement of a
                                  Complete Set of Approximate Factors of a
                                  Polynomial . . . . . . . . . . . . . . . 425--438
               Winifred L. Wood   Periodicity Effects on the Iterative
                                  Solution of Elliptic Difference
                                  Equations  . . . . . . . . . . . . . . . 439--464
               G. J. Auslaender   A Novel, Hermite Type, Interpolation
                                  Procedure  . . . . . . . . . . . . . . . 465--472
    Christopher T. H. Baker and   
              Graham S. Hodgson   Asymptotic Expansions for Integration
                                  Formulas in One or More Dimensions . . . 473--480
               T. Pietrzykowski   Erratum: ``An Exact Potential Method for
                                  Constrained Maxima'' [SIAM J. Numer.
                                  Anal. \bf 6 (1969), no. 2, 299--304] . . 481--481

SIAM Journal on Numerical Analysis
Volume 8, Number 3, September, 1971

               Werner Haussmann   On Interpolation with Derivatives  . . . 483--485
                 W. L. Miranker   Galerkin Approximations and the
                                  Optimization of Difference Schemes for
                                  Boundary Value Problems  . . . . . . . . 486--496
               Nira Richter-Dyn   Properties of Minimal Integration Rules.
                                  II . . . . . . . . . . . . . . . . . . . 497--508
                    R. D. Riess   A Note on Error Bounds for
                                  Gauss--Chebyshev Quadrature  . . . . . . 509--511
                Hans J. Stetter   Local Estimation of the Global
                                  Discretization Error . . . . . . . . . . 512--523
                   Pierre Jamet   A Finite Difference Scheme and an
                                  Existence Theorem for a Nonlinear
                                  Hyperbolic System of Differential
                                  Equations  . . . . . . . . . . . . . . . 524--535
              George J. Fix and   
                    Kate Larsen   On the Convergence of SOR Iterations for
                                  Finite Element Approximations to
                                  Elliptic Boundary Value Problems . . . . 536--547
                 Jerome Spanier   A New Multistage Procedure for
                                  Systematic Variance Reduction in Monte
                                  Carlo  . . . . . . . . . . . . . . . . . 548--554
                Gunter H. Meyer   A Numerical Method for Two-Phase Stefan
                                  Problems . . . . . . . . . . . . . . . . 555--568
                    J. M. Varah   Stability of High Order Accurate
                                  Difference Methods for Parabolic
                                  Equations with Boundary Conditions . . . 569--574
                T. A. Porsching   On Rates of Convergence of Jacobi and
                                  Gauss--Seidel Methods for
                                  ${M}$-Functions  . . . . . . . . . . . . 575--582
               Nira Richter-Dyn   Minimal Interpolation and Approximation
                                  in Hilbert Spaces  . . . . . . . . . . . 583--597
                    J. M. Varah   Stability of Difference Approximations
                                  to the Mixed Initial Boundary Value
                                  Problems for Parabolic Systems . . . . . 598--615
              Richard J. Hanson   A Numerical Method for Solving Fredholm
                                  Integral Equations of the First Kind
                                  Using Singular Values  . . . . . . . . . 616--622

SIAM Journal on Numerical Analysis
Volume 8, Number 4, December, 1971

                A. M. Ostrowski   Some Properties of Reduced Polynomial
                                  Equations  . . . . . . . . . . . . . . . 623--638
                J. R. Bunch and   
                  B. N. Parlett   Direct Methods for Solving Symmetric
                                  Indefinite Systems of Linear Equations   639--655
                    J. R. Bunch   Analysis of the Diagonal Pivoting Method 656--680
               A. H. Stroud and   
              Kwan-Wei Chen and   
              Ping-Lei Wang and   
                   Zunkwang Mao   Some Second and Third Degree Harmonic
                                  Interpolation Formulas . . . . . . . . . 681--692
           William B. Jones and   
                    W. J. Thron   \em A Posteriori Bounds for the
                                  Truncation Error of Continued Fractions  693--705
             Herbert L. Dershem   Approximation of the Bessel Eigenvalue
                                  Problem by Finite Differences  . . . . . 706--716
                    V. N. Murty   Best Approximation with Chebyshev
                                  Polynomials  . . . . . . . . . . . . . . 717--721
               B. L. Buzbee and   
                 F. W. Dorr and   
               J. A. George and   
                    G. H. Golub   The Direct Solution of the Discrete
                                  Poisson Equation on Irregular Regions    722--736
              Martin H. Schultz   ${L}^{2}$ error bounds for the
                                  Rayleigh--Ritz--Galerkin method  . . . . 737--748
              Charles B. Dunham   Chebyshev Approximation with the Local
                                  Haar Condition . . . . . . . . . . . . . 749--753
            Edgar A. Cohen, Jr.   Note on a Truncated Chebyshev Series
                                  Modified to Match Function Values at
                                  Interval Endpoints . . . . . . . . . . . 754--756
                 Richard Franke   Orthogonal Polynomials and Approximate
                                  Multiple Integration . . . . . . . . . . 757--766
                  Paul T. Boggs   The Solution of Nonlinear Systems of
                                  Equations by ${A}$-Stable Integration
                                  Techniques . . . . . . . . . . . . . . . 767--785
                Lucio Tavernini   One-Step Methods for the Numerical
                                  Solution of Volterra Functional
                                  Differential Equations . . . . . . . . . 786--795
                  G. W. Stewart   Error Bounds for Approximate Invariant
                                  Subspaces, of Closed Linear Operator . . 796--808


SIAM Journal on Numerical Analysis
Volume 9, Number 1, March, 1972

               James R. Kuttler   Remarks on a Stekloff Eigenvalue Problem 1--5
               W. Robert Boland   The Convergence of Product-Type
                                  Quadrature Formulas  . . . . . . . . . . 6--13
              James L. Phillips   The Use of Collocation as a Projection
                                  Method for Solving Linear Operator
                                  Equations  . . . . . . . . . . . . . . . 14--28
               Charlie H. Cooke   On Stiffly Stable Implicit Linear
                                  Multistep Methods  . . . . . . . . . . . 29--34
                    S. K. Aalto   The Representation of Functionals on
                                  Subspaces by Functionals Having Certain
                                  Support Sets . . . . . . . . . . . . . . 35--39
            James M. Ortega and   
           Werner C. Rheinboldt   A General Convergence Result for
                                  Unconstrained Minimization Methods . . . 40--43
                   Binh Lam and   
                  David Elliott   On a Conjecture of C. W. Clenshaw  . . . 44--52
                  Ivo Babu\vska   Numerical Stability in Problems of
                                  Linear Algebra . . . . . . . . . . . . . 53--77
                     G. Fix and   
                   R. Heiberger   An Algorithm for the Ill-Conditioned
                                  Generalized Eigenvalue Problem . . . . . 78--88
                 David M. Young   On the consistency of linear stationary
                                  iterative methods  . . . . . . . . . . . 89--96
           James S. Vandergraft   Applications of Partial Orderings to the
                                  Study of Positive Definiteness,
                                  Monotonicity, and Convergence of
                                  Iterative Methods for Linear Systems . . 97--104
             Colin W. Cryer and   
                Lucio Tavernini   The Numerical Solution of Volterra
                                  Functional Differential Equations by
                                  Euler's Method . . . . . . . . . . . . . 105--129
              Marvin Marcus and   
              William R. Gordon   An Analysis of Equality in Certain
                                  Matrix Inequalities. II  . . . . . . . . 130--136
               J. G. Pierce and   
                    R. S. Varga   Higher Order Convergence Results for the
                                  Rayleigh--Ritz Method Applied to
                                  Eigenvalue Problems. I: Estimates
                                  Relating Rayleigh--Ritz and Galerkin
                                  Approximations to Eigenfunctions . . . . 137--151
                    C. M. Ablow   A Characteristic Finite Difference
                                  Method for the Wave Equation in Two
                                  Dimensions . . . . . . . . . . . . . . . 152--164
             W. J. Kammerer and   
                   M. Z. Nashed   On the Convergence of the Conjugate
                                  Gradient Method for Singular Linear
                                  Operator Equations . . . . . . . . . . . 165--181
               H. F. Weinberger   On Optimal Numerical Solution of Partial
                                  Differential Equations . . . . . . . . . 182--198

SIAM Journal on Numerical Analysis
Volume 9, Number 2, June, 1972

                Jitka Segethova   Numerical Construction of the Hill
                                  Functions  . . . . . . . . . . . . . . . 199--204
                A. C. Hindmarsh   Optimality in a Class of Rootfinding
                                  Algorithms . . . . . . . . . . . . . . . 205--214
                 J. Thomas King   The Approximate Solution of Parabolic
                                  Initial Boundary Value Problems by
                                  Weighted Least-Squares Methods . . . . . 215--229
          J. E. Dennis, Jr. and   
                Roland A. Sweet   Some Minimum Properties of the
                                  Trapezoidal Rule . . . . . . . . . . . . 230--236
                Charles K. Chui   Concerning Gaussian--Chebyshev
                                  Quadrature Errors  . . . . . . . . . . . 237--240
                R. H. Estes and   
                E. R. Lancaster   Some Generalized Power Series Inversions 241--247
                Arthur I. Cohen   Rate of Convergence of Several Conjugate
                                  Gradient Algorithms  . . . . . . . . . . 248--259
                  Jean Descloux   On Finite Element Matrices . . . . . . . 260--265
               S. Eisenberg and   
                        B. Wood   On the Order of Approximation of
                                  Unbounded Functions by Positive Linear
                                  Operators  . . . . . . . . . . . . . . . 266--276
                  K. Nickel and   
                      K. Ritter   Termination Criterion and Numerical
                                  Convergence  . . . . . . . . . . . . . . 277--283
               Kendall Atkinson   The Numerical Evaluation of the Cauchy
                                  Transform on Simple Closed Curves  . . . 284--299
           Paul N. Swarztrauber   On the Numerical Solution of the
                                  Dirichlet Problem for a Region of
                                  General Shape  . . . . . . . . . . . . . 300--306
              William F. Trench   Stability of a Class of Discrete Minimum
                                  Variance Smoothing Formulas  . . . . . . 307--315
            George D. Byrne and   
               Donald N. H. Chi   Linear Multistep Formulas Based on
                                  $g$-Splines  . . . . . . . . . . . . . . 316--324
                     J. K. Reid   The Use of Conjugate Gradients for
                                  Systems of Linear Equations Possessing
                                  ``Property A'' . . . . . . . . . . . . . 325--332
               A. H. Stroud and   
                  Kwan-Wei Chen   Peano Error Estimates for
                                  Gauss--Laguerre Quadrature Formulas  . . 333--340
            Thomas R. Lucas and   
         George W. Reddien, Jr.   Some Collocation Methods for Nonlinear
                                  Boundary Value Problems  . . . . . . . . 341--356
                  Jorge J. More   Nonlinear Generalizations of Matrix
                                  Diagonal Dominance with Application to
                                  Gauss--Seidel Iterations . . . . . . . . 357--378

SIAM Journal on Numerical Analysis
Volume 9, Number 3, September, 1972

               Bruno O. Shubert   A Sequential Method Seeking the Global
                                  Maximum of a Function  . . . . . . . . . 379--388
               G. J. Cooper and   
                   J. H. Verner   Some Explicit Runge--Kutta Methods of
                                  High Order . . . . . . . . . . . . . . . 389--405
                 Alfred Carasso   The Backward Beam Equation: Two
                                  ${A}$-Stable Schemes for Parabolic
                                  Problems . . . . . . . . . . . . . . . . 406--434
               R. A. Nicolaides   On a Class of Finite Elements Generated
                                  by Lagrange Interpolation  . . . . . . . 435--445
         James Alan Cochran and   
                 Erold W. Hinds   Improved Error Bounds for the
                                  Eigenvalues of Certain Normal Operators  446--453
                 David M. Young   Generalizations of property ${A}$ and
                                  consistent ordering  . . . . . . . . . . 454--463
              M. P. Epstein and   
                  R. W. Hamming   Noninterpolatory Quadrature Formulas . . 464--475
             Bruce Chartres and   
               Robert Stepleman   A General Theory of Convergence for
                                  Numerical Methods  . . . . . . . . . . . 476--492
               I. Barrodale and   
            M. J. D. Powell and   
               F. D. K. Roberts   The Differential Correction Algorithm
                                  for Rational
                                  $\mathcal{l}_\infty$-Approximation . . . 493--504
               Arthur D. Snider   An Improved Estimate of the Accuracy of
                                  Trigonometric Interpolation  . . . . . . 505--508
                S. E. Weinstein   Uniform Approximation of Functions
                                  Through Optimal Partitioning . . . . . . 509--517
                   A. H. Stroud   Two Fifth Degree Harmonic Interpolation
                                  Formulas for the $n$-Box . . . . . . . . 518--521

SIAM Journal on Numerical Analysis
Volume 9, Number 4, December, 1972

        Albert C. Reynolds, Jr.   Convergent Finite Difference Schemes for
                                  Nonlinear Parabolic Equations  . . . . . 523--533
                 Paul S. Jensen   The Solution of Large Symmetric
                                  Eigenproblems by Sectioning  . . . . . . 534--545
                  N. L. Schryer   Constructive Approximation of Solutions
                                  to Linear Elliptic Boundary Value
                                  Problems . . . . . . . . . . . . . . . . 546--572
            J. D. Donaldson and   
                  David Elliott   A Unified Approach to Quadrature Rules
                                  with Asymptotic Estimates of Their
                                  Remainders . . . . . . . . . . . . . . . 573--602
                 T. E. Hull and   
              W. H. Enright and   
               B. M. Fellen and   
                 A. E. Sedgwick   Comparing Numerical Methods for Ordinary
                                  Differential Equations . . . . . . . . . 603--637
                  Jack Williams   Numerical Chebyshev Approximation in the
                                  Complex Plane  . . . . . . . . . . . . . 638--649
                 David Gottlieb   Strang-type Difference Schemes for
                                  Multidimensional Problems  . . . . . . . 650--661
                 Bengt Lindberg   A Simple Interpolation Algorithm for
                                  Improvement of the Numerical Solution of
                                  a Differential Equation  . . . . . . . . 662--668
                  G. W. Stewart   On the Sensitivity of the Eigenvalue
                                  Problem $Ax = \lambda Bx$  . . . . . . . 669--686
             W. J. Kammerer and   
             G. W. Reddien, Jr.   Local Convergence of Smooth Cubic Spline
                                  Interpolates . . . . . . . . . . . . . . 687--694
                  Melvyn Ciment   Stable Matching of Difference Schemes    695--701
             Graeme Fairweather   Galerkin Methods for Vibration Problems
                                  in Two Space Variables . . . . . . . . . 702--714
              J. D. Lambert and   
               S. T. Sigurdsson   Multistep Methods with Variable Matrix
                                  Coefficients . . . . . . . . . . . . . . 715--733
                 J. W. Matthews   An Algorithm for Obtaining Best
                                  Approximations on Sets of Positive
                                  Polynomials  . . . . . . . . . . . . . . 734--742


SIAM Journal on Numerical Analysis
Volume 10, 1973

              A. S. Householder   George E. Forsythe (January 8,
                                  1917--April 9, 1972) . . . . . . . . . . viii--xi

SIAM Journal on Numerical Analysis
Volume 10, Number 1, March, 1973

                  W. C. Pye and   
                 T. A. Atchison   An Algorithm for the Computation of the
                                  Higher Order G-Transformation  . . . . . 1--7
                  Ian Barrodale   Best Rational Approximation and Strict
                                  Quasi-Convexity  . . . . . . . . . . . . 8--12
                J. D. Donaldson   Estimates of Upper Bounds for Quadrature
                                  Errors . . . . . . . . . . . . . . . . . 13--22
                  J. Prasad and   
                     H. Hayashi   On the Uniform Convergence of
                                  Fourier--Jacobi Series . . . . . . . . . 23--27
          Marie-Jeanne Munteanu   Generalized Smoothing Spline Functions
                                  for Operators  . . . . . . . . . . . . . 28--34
         W. E. Bosarge, Jr. and   
              O. G. Johnson and   
                    C. L. Smith   A Direct Method Approximation to the
                                  Linear Parabolic Regulator Problem Over
                                  Multivariate Spline Bases  . . . . . . . 35--49
                   S. J. Poreda   Approximation by $\delta$-Polynomials    50--54
                  Steven Pruess   Estimating the Eigenvalues of
                                  Sturm--Liouville Problems by
                                  Approximating the Differential Equation  55--68
                David C. Shreve   Interior Estimates in $l^p$ for Elliptic
                                  Difference Operators . . . . . . . . . . 69--80
           James H. Bramble and   
             Joachim A. Nitsche   A Generalized Ritz-Least-Squares Method
                                  for Dirichlet Problems . . . . . . . . . 81--93
         W. E. Bosarge, Jr. and   
              O. G. Johnson and   
             R. S. McKnight and   
                  W. P. Timlake   The Ritz--Galerkin Procedure for
                                  Nonlinear Control Problems . . . . . . . 94--111
                 John De Pillis   Gauss--Seidel Convergence for Operators
                                  on Hilbert Space . . . . . . . . . . . . 112--122
                  S. N. Dua and   
                     H. L. Loeb   Further Remarks on the Differential
                                  Correction Algorithm . . . . . . . . . . 123--126
                 Peter R. Lipow   Spline Functions and Intermediate Best
                                  Quadrature Formulas  . . . . . . . . . . 127--136
               Annette Sinclair   Determination of Extremal Functions in
                                  ${H}^p$ by a Fortran Program . . . . . . 137--146
            R. C. Ackerberg and   
                 J. H. Phillips   A Numerical Method for Highly
                                  Accelerated Laminar Boundary-Layer Flows 147--160
               O. Pironneau and   
                       E. Polak   Rate of Convergence of a Class of
                                  Methods of Feasible Directions . . . . . 161--174
               Paul Nelson, Jr.   Convergence of the Discrete-Ordinates
                                  Method for Anisotropically Scattering
                                  Multiplying Particles in a Subcritical
                                  Slab . . . . . . . . . . . . . . . . . . 175--181
               R. A. Nicolaides   On a Class of Finite Elements Generated
                                  by Lagrange Interpolation. II  . . . . . 182--189
         Amnon Bracha-Barak and   
                 Paul E. Saylor   A Symmetric Factorization Procedure for
                                  the Solution of Elliptic Boundary Value
                                  Problems . . . . . . . . . . . . . . . . 190--206
                Steven W. Rauch   A Convergence Theory for a Class of
                                  Nonlinear Programming Problems . . . . . 207--228
                   Milos Zlamal   Curved Elements in the Finite Element
                                  Method. I  . . . . . . . . . . . . . . . 229--240

SIAM Journal on Numerical Analysis
Volume 10, Number 2, April, 1973

                C. B. Moler and   
                  G. W. Stewart   An Algorithm for Generalized Matrix
                                  Eigenvalue Problems  . . . . . . . . . . 241--256
                    J. M. Varah   On the Numerical Solution of
                                  Ill-Conditioned Linear Systems with
                                  Applications to Ill-Posed Problems . . . 257--267
                James M. Ortega   Stability of Difference Equations and
                                  Convergence of Iterative Processes . . . 268--282
                    A. K. Cline   An Elimination Method for the Solution
                                  of Linear Least Squares Problems . . . . 283--289
                A. M. Ostrowski   \em A Posteriori Error Estimates in
                                  Iterative Procedures . . . . . . . . . . 290--298
                James W. Daniel   On Perturbations in Systems of Linear
                                  Inequalities . . . . . . . . . . . . . . 299--307
            David R. Stoutemyer   Numerical Implementation of the Schwarz
                                  Alternating Procedure for Elliptic
                                  Partial Differential Equations . . . . . 308--326
               Richard P. Brent   Some Efficient Algorithms for Solving
                                  Systems of Nonlinear Equations . . . . . 327--344
                    Alan George   Nested Dissection of a Regular Finite
                                  Element Mesh . . . . . . . . . . . . . . 345--363
            Alan J. Hoffman and   
          Michael S. Martin and   
                 Donald J. Rose   Complexity Bounds for Regular Finite
                                  Difference and Finite Element Grids  . . 364--369
           Charles McCarthy and   
                 Gilbert Strang   Optimal Conditioning of Matrices . . . . 370--388
              B. N. Parlett and   
               W. G. Poole, Jr.   A Geometric Theory for the ${QR}$,
                                  ${LU}$ and Power Iterations  . . . . . . 389--412
                G. H. Golub and   
                     V. Pereyra   The Differentiation of Pseudo-Inverses
                                  and Nonlinear Least Squares Problems
                                  Whose Variables Separate . . . . . . . . 413--432
                      Anonymous   Collection of articles dedicated to the
                                  memory of George E. Forsythe . . . . . . i--xi + 241--432

SIAM Journal on Numerical Analysis
Volume 10, Number 3, June, 1973

                    A. Meir and   
                      A. Sharma   Lacunary Interpolation by Splines  . . . 433--442
            Blair K. Swartz and   
               Richard S. Varga   A Note on Lacunary Interpolation by
                                  Splines  . . . . . . . . . . . . . . . . 443--447
          O. L. Mangasarian and   
                L. L. Schumaker   Best Summation Formulae and Discrete
                                  Splines  . . . . . . . . . . . . . . . . 448--459
               Nancy K. Nichols   On the Convergence of Two-Stage
                                  Iterative Processes for Solving Linear
                                  Equations  . . . . . . . . . . . . . . . 460--469
                    J. C. Mason   Some Methods of Near-Minimax
                                  Approximation Using Laguerre Polynomials 470--477
                    K. R. James   Convergence of Matrix Iterations Subject
                                  to Diagonal Dominance  . . . . . . . . . 478--484
                     N. K. Basu   Errors in the Representation of a
                                  Function by Chebyshev Polynomials of the
                                  Second Kind  . . . . . . . . . . . . . . 485--488
            F. J. Burkowski and   
                    D. D. Cowan   The Numerical Derivation of a Periodic
                                  Solution of a Second Order Differential
                                  Difference Equation  . . . . . . . . . . 489--495
                     N. K. Basu   On Double Chebyshev Series Approximation 496--505
                 A. Settari and   
                        K. Aziz   A Generalization of the Additive
                                  Correction Methods for the Iterative
                                  Solution of Matrix Equations . . . . . . 506--521
                Gunter H. Meyer   Multidimensional Stefan Problems . . . . 522--538
       Charles B. Huelsman, III   Quadrature Formulas Over Fully Symmetric
                                  Planar Regions . . . . . . . . . . . . . 539--552

SIAM Journal on Numerical Analysis
Volume 10, Number 4, September, 1973

                   Franz Locher   Norm Bounds of Quadrature Processes  . . 553--558
                   A. H. Stroud   Some Cubature Formulas for the Surface
                                  of the $n$-Sphere  . . . . . . . . . . . 559--569
                  P. M. Prenter   A Collection Method for the Numerical
                                  Solution of Integral Equations . . . . . 570--581
               Carl de Boor and   
                   Blair Swartz   Collocation at Gaussian Points . . . . . 582--606
                James A. Cadzow   A Finite Algorithm for the Minimum
                                  $l_\infty$ Solution to a System of
                                  Consistent Linear Equations  . . . . . . 607--617
             A. N. Willson, Jr.   A Note on Pairs of Matrices and Matrices
                                  of Monotone Kind . . . . . . . . . . . . 618--622
              Robert J. Fornaro   Numerical Evaluation of Integrals Around
                                  Simple Closed Curves . . . . . . . . . . 623--634
               M. B. Rosenzweig   Finite Difference Approximation of the
                                  Weak Solution of a Mildly Nonlinear
                                  Dirichlet Problem  . . . . . . . . . . . 635--646
              Frank de Hoog and   
                  Richard Weiss   High Order Methods for Volterra Integral
                                  Equations of the First Kind  . . . . . . 647--664
                Philip B. Zwart   Multivariate Splines with Nondegenerate
                                  Partitions . . . . . . . . . . . . . . . 665--673
                      Axel Ruhe   Algorithms for the Nonlinear Eigenvalue
                                  Problem  . . . . . . . . . . . . . . . . 674--689
                C. S. Duris and   
                   M. G. Temple   A Finite Step Algorithm for Determining
                                  the ``Strict'' Chebyshev Solution to $Ax
                                  = b$ . . . . . . . . . . . . . . . . . . 690--699
                    H. D. Meyer   The Numerical Solution of Nonlinear
                                  Parabolic Problems by Variational
                                  Methods  . . . . . . . . . . . . . . . . 700--722
            Mary Fanett Wheeler   \em A Priori ${L}_2$ Error Estimates for
                                  Galerkin Approximations to Parabolic
                                  Partial Differential Equations . . . . . 723--759
                 Andrew R. Conn   Constrained Optimization Using a
                                  Nondifferentiale Penalty Function  . . . 760--784
                Robert T. Walsh   Optimization and Comparison of Partial
                                  Difference Methods . . . . . . . . . . . 785--797

SIAM Journal on Numerical Analysis
Volume 10, Number 5, October, 1973

            Kendall E. Atkinson   The Numerical Evaluation of Fixed Points
                                  for Completely Continuous Operators  . . 799--807
               Joseph W. Jerome   Minimization Problems and Linear and
                                  Nonlinear Spline Functions. I: Existence 808--819
               Joseph W. Jerome   Minimization Problems and Linear and
                                  Nonlinear Spline Functions. II:
                                  Convergence  . . . . . . . . . . . . . . 820--830
                       P. Keast   Optimal Parameters for Multidimensional
                                  Integration  . . . . . . . . . . . . . . 831--838
               I. Barrodale and   
               F. D. K. Roberts   An Improved Algorithm for Discrete $l_1$
                                  Linear Approximation . . . . . . . . . . 839--848
                 Richard Franke   Minimal Point Cubatures of Precision
                                  Seven for Symmetric Planar Regions . . . 849--862
              Ivo Babu\vska and   
                   Milos Zlamal   Nonconforming Elements in the Finite
                                  Element Method with Penalty  . . . . . . 863--875
                Richard F. King   A Family of Fourth Order Methods for
                                  Nonlinear Equations  . . . . . . . . . . 876--879
                    Todd Dupont   ${L}^2$-Estimates for Galerkin Methods
                                  for Second Order Hyperbolic Equations    880--889
                    Todd Dupont   Galerkin Methods for First Order
                                  Hyperbolics: An Example  . . . . . . . . 890--899
       Paul N. Swarztrauber and   
                Roland A. Sweet   The Direct Solution of the Discrete
                                  Poisson Equation on a Disk . . . . . . . 900--907
            Mary Fanett Wheeler   ${L}_\infty$ Estimates of Optimal Orders
                                  for Galerkin Methods for One-Dimensional
                                  Second Order Parabolic and Hyperbolic
                                  Equations  . . . . . . . . . . . . . . . 908--913
            Mary Fanett Wheeler   An Optimal ${L}_\infty$ Error Estimate
                                  for Galerkin Approximations to Solutions
                                  of Two-Point Boundary Value Problems . . 914--917
                D. O. Banks and   
                 G. J. Kurowski   Computation of Eigenvalues for Vibrating
                                  Beams by Use of a Prufer Transformation  918--932
             Charles W. Schelin   Monotone Convergence of the Sor-Newton
                                  Iterative Technique  . . . . . . . . . . 933--938
             Francoise Chatelin   Convergence of Approximation Methods to
                                  Compute Eigenelements of Linear
                                  Operations . . . . . . . . . . . . . . . 939--948
                  Fred T. Krogh   Algorithms for Changing the Step Size    949--965

SIAM Journal on Numerical Analysis
Volume 10, Number 6, December, 1973

                   Julius Smith   On the Approximate Solution of the First
                                  Boundary Value Problem for $\nabla^4 u =
                                  f$ . . . . . . . . . . . . . . . . . . . 967--982
            C. A. Micchelli and   
                 W. L. Miranker   Optimal Difference Schemes for Linear
                                  Initial Value Problems . . . . . . . . . 983--1009
            H. H. Rachford, Jr.   Two-Level Discrete-time Galerkin
                                  Approximations for Second Order
                                  Nonlinear Parabolic Partial Differential
                                  Equations  . . . . . . . . . . . . . . . 1010--1026
                  Tom Lyche and   
             Larry L. Schumaker   Computation of smoothing and
                                  interpolating natural splines via local
                                  bases  . . . . . . . . . . . . . . . . . 1027--1038
                   D. E. Koster   Stability of a Finite Difference Scheme
                                  with ``Wrong'' Boundary Conditions . . . 1039--1046
                 David Ferguson   Sufficient Conditions for Peano's Kernel
                                  to be of One Sign  . . . . . . . . . . . 1047--1054
                     C. A. Hall   Natural Cubic and Bicubic Spline
                                  Interpolation  . . . . . . . . . . . . . 1055--1060
                  To-Yat Cheung   Quasilinear Parabolic Boundary Value
                                  Problems. Approximate Solutions and
                                  Error Bounds by Linear Programming . . . 1061--1079
       Sven-Åke Gustafson   A Method of Computing Limit Values . . . 1080--1090
              David Elliott and   
                       Binh Lam   An Estimate of ${E}_n(f)$ for Large $n$  1091--1102
                Paul Concus and   
                  Gene H. Golub   Use of Fast Direct Methods for the
                                  Efficient Numerical Solution of
                                  Nonseparable Elliptic Equations  . . . . 1103--1120


SIAM Journal on Numerical Analysis
Volume 11, Number 1, March, 1974

                   F. G. Lether   Error Bounds for Fully Symmetric
                                  Quadrature Rules . . . . . . . . . . . . 1--9
                W. B. Gragg and   
                    R. A. Tapia   Optimal Error Bounds for the
                                  Newton--Kantorovich Theorem  . . . . . . 10--13
       Johnnie William McLaurin   A General Coupled Equation Approach for
                                  Solving the Biharmonic Boundary Value
                                  Problem  . . . . . . . . . . . . . . . . 14--33
                     L. B. Rall   A Note on the Convergence of Newton's
                                  Method . . . . . . . . . . . . . . . . . 34--36
         Robert E. Barnhill and   
             Gregory M. Nielson   Reproducing Kernel Functions for Sard
                                  Spaces of Type ${B}$ . . . . . . . . . . 37--44
              Christian Reinsch   Two Extensions of the Sard-Schoenberg
                                  Theory of Best Approximation . . . . . . 45--51
                    Luc Wuytack   On Some Aspects of the Rational
                                  Interpolation Problem  . . . . . . . . . 52--60
Torsten Söderström and   
                  G. W. Stewart   On the Numerical Properties of an
                                  Iterative Method for Computing the
                                  Moore--Penrose Generalized Inverse . . . 61--74
                 D. Krabill and   
                     M. Reichaw   Expansions of Real Numbers Relative to a
                                  Sequence of Functions  . . . . . . . . . 75--86
                    F. L. Bauer   Computational Graphs and Rounding Error  87--96
            Kendall E. Atkinson   The Numerical Solution of an Abel
                                  Integral Equation by a Product
                                  Trapezoidal Method . . . . . . . . . . . 97--101
               J. H. Avila, Jr.   The Feasibility of Continuation Methods
                                  for Nonlinear Equations  . . . . . . . . 102--122
                R. Fletcher and   
                J. A. Grant and   
                   M. D. Hebden   Linear Minimax Approximation as the
                                  Limit of Best ${L}_p$-Approximation  . . 123--136
                     Peter Linz   A Method for the Approximate Solution of
                                  Linear Integro-Differential Equations    137--144
             Abraham Berman and   
             Robert J. Plemmons   Cones and Iterative Methods for Best
                                  Least Squares Solutions of Linear
                                  Systems  . . . . . . . . . . . . . . . . 145--154
            William H. Ford and   
                     T. W. Ting   Uniform Error Estimates for Difference
                                  Approximations to Nonlinear
                                  Pseudo-Parabolic Partial Differential
                                  Equations  . . . . . . . . . . . . . . . 155--169
             Martha Ann Griesel   A Linear Remes-Type Algorithm for
                                  Relative Error Approximation . . . . . . 170--173
                    R. A. Tapia   Newton's Method for Problems with
                                  Equality Constraints . . . . . . . . . . 174--196
                    C. C. Paige   Bidiagonalization of Matrices and
                                  Solution of Linear Equations . . . . . . 197--209

SIAM Journal on Numerical Analysis
Volume 11, Number 2, April, 1974

               David R. Kincaid   On Complex Second-Degree Iterative
                                  Methods  . . . . . . . . . . . . . . . . 211--218
               D. R. Gimlin and   
           R. K. Cavin, III and   
               M. C. Budge, Jr.   A Multiple Exchange Algorithm for
                                  Calculation of Best Restricted
                                  Approximations . . . . . . . . . . . . . 219--231
                   F. G. Lether   Cubature Error Constants for Analytic
                                  Functions  . . . . . . . . . . . . . . . 232--236
                 G. Alefeld and   
                  J. Herzberger   On the Convergence Speed of Some
                                  Algorithms for the Simultaneous
                                  Approximation of Polynomial Roots  . . . 237--243
                R. D. Riess and   
                  L. W. Johnson   Errors in Interpolating Functions at the
                                  Zeros of ${T}_{n + 1}({X})$  . . . . . . 244--253
             B. L. Chalmers and   
              D. J. Johnson and   
              F. T. Metcalf and   
                   G. D. Taylor   Remarks on the Rank of Hermite--Birkhoff
                                  Interpolation  . . . . . . . . . . . . . 254--259
                     V. Girault   Theory of a Finite Difference Method on
                                  Irregular Networks . . . . . . . . . . . 260--282
                   Karl Scherer   Characterization of Generalized
                                  Lipschitz Classes by Best Approximation
                                  with Splines . . . . . . . . . . . . . . 283--304
              Herbert B. Keller   Accurate Difference Methods for
                                  Nonlinear Two-Point Boundary Value
                                  Problems . . . . . . . . . . . . . . . . 305--320
                  W. H. Enright   Second Derivative Multistep Methods for
                                  Stiff Ordinary Differential Equations    321--331
              Don R. Wilhelmsen   Nonnegative Cubature on Convex Sets  . . 332--346
                   Milos Zlamal   Curved Elements in the Finite Element
                                  Method. II . . . . . . . . . . . . . . . 347--362
               Gary K. Leaf and   
                  Hans G. Kaper   ${L}^\infty$-Error Bounds for
                                  Multivariate Lagrange Approximation  . . 363--381
             F. Aleixo Oliveira   Interval Analysis and Two-Point Boundary
                                  Value Problems . . . . . . . . . . . . . 382--391
                Todd Dupont and   
         Graeme Fairweather and   
               J. Peter Johnson   Three-Level Galerkin Methods for
                                  Parabolic Equations  . . . . . . . . . . 392--410
                  Robert Gaines   Difference Equations Associated with
                                  Boundary Value Problems for Second Order
                                  Nonlinear Ordinary Differential
                                  Equations  . . . . . . . . . . . . . . . 411--434
             Gregory M. Nielson   Multivariate Smoothing and Interpolating
                                  Splines  . . . . . . . . . . . . . . . . 435--446
                   R. E. Shafer   On Quadratic Approximation . . . . . . . 447--460

SIAM Journal on Numerical Analysis
Volume 11, Number 3, June, 1974

           Stanley E. Weinstein   On Numerical Solution of Nonlinear
                                  Equations Through Nonlinear
                                  Interpolation or Approximation . . . . . 461--471
                G. H. Golub and   
                    J. M. Varah   On a Characterization of the Best
                                  $l_2$-Scaling of a Matrix  . . . . . . . 472--479
                     C. Gunther   Third Degree Integration Formulas with
                                  Four Real Points and Positive Weights in
                                  Two Dimensions . . . . . . . . . . . . . 480--493
                    George Hall   Stability Analysis of
                                  Predictor-Corrector Algorithms of Adams
                                  Type . . . . . . . . . . . . . . . . . . 494--505
                Roland A. Sweet   A Generalized Cyclic Reduction Algorithm 506--520
                 James R. Bunch   Partial Pivoting Strategies for
                                  Symmetric Matrices . . . . . . . . . . . 521--528
                       E. Polak   A Globally Converging Secant Method with
                                  Applications to Boundary Value Problems  529--537
          Arun N. Netravali and   
        Rui J. P. de Figueiredo   Spline Approximation to the Solution of
                                  the Linear Fredholm Integral Equation of
                                  the Second Kind  . . . . . . . . . . . . 538--549
                  Richard Weiss   On the Approximation of Fixed Points of
                                  Nonlinear Compact Operators  . . . . . . 550--553
            Charles K. Chui and   
                Philip W. Smith   On ${H}^{m,\infty}$-Splines  . . . . . . 554--558
                     Don Heller   A Determinant Theorem with Applications
                                  to Parallel Algorithms . . . . . . . . . 559--568
                Thomas R. Lucas   Error Bounds for Interpolating Cubic
                                  Splines Under Various End Conditions . . 569--584
                    Alan George   On Block Elimination for Sparse Linear
                                  Systems  . . . . . . . . . . . . . . . . 585--603
               J. E. Dendy, Jr.   Penalty Galerkin Methods for Partial
                                  Differential Equations . . . . . . . . . 604--636
                    J. E. Dendy   Two Methods of Galerkin Type Achieving
                                  Optimum ${L}^2$ Rates of Convergence for
                                  First Order Hyperbolics  . . . . . . . . 637--653
           Stanley C. Eisenstat   On the Rate of Convergence of the
                                  Bergman-Vekua Method for the Numerical
                                  Solution of Elliptic Boundary Value
                                  Problems . . . . . . . . . . . . . . . . 654--680
                 T. E. Hull and   
              W. H. Enright and   
               B. M. Fellen and   
                 A. E. Sedgwick   Errata: ``Comparing Numerical Methods
                                  for Ordinary Differential Equations''
                                  [SIAM J. Numer. Anal. \bf 9 (1972), no.
                                  4, 603--637] . . . . . . . . . . . . . . 681--681

SIAM Journal on Numerical Analysis
Volume 11, Number 4, September, 1974

             I. Norman Katz and   
                    Leon Cooper   An Always-Convergent Numerical Scheme
                                  for a Random Locational Equilibrium
                                  Problem  . . . . . . . . . . . . . . . . 683--692
                   G. A. Watson   The Calculation of Best Restricted
                                  Approximations . . . . . . . . . . . . . 693--699
           Garrett Birkhoff and   
                Surender Gulati   Optimal Few-Point Discretizations of
                                  Linear Source Problems . . . . . . . . . 700--728
              Charles B. Dunham   Convergence of Stiefel's Exchange Method
                                  On an Infinite Set . . . . . . . . . . . 729--731
                  J. R. Kuttler   Direct Methods for Computing Eigenvalues
                                  of the Finite-Difference Laplacian . . . 732--740
                   Lars Wahlbin   Maximum Norm Estimates for Friedrichs'
                                  Scheme in Two Dimensions . . . . . . . . 741--752
               B. L. Buzbee and   
                   Fred W. Dorr   The Direct Solution of the Biharmonic
                                  Equation on Rectangular Regions and the
                                  Poisson Equation on Irregular Regions    753--763
            Mary Fanett Wheeler   A Galerkin Procedure for Estimating the
                                  Flux for Two-Point Boundary Value
                                  Problems . . . . . . . . . . . . . . . . 764--768
              David R. Ferguson   Sign Changes and Minimal Support
                                  Properties of Hermite--Birkhoff Splines
                                  with Compact Support . . . . . . . . . . 769--779
                H. Wozniakowski   Rounding Error Analysis for the
                                  Evaluation of a Polynomial and Some of
                                  its Derivatives  . . . . . . . . . . . . 780--787
                 Colin W. Cryer   Highly Stable Multistep Methods for
                                  Retarded Differential Equations  . . . . 788--797
              Otto Neall Strand   Theory and Methods Related to the
                                  Singular-Function Expansion and
                                  Landweber's Iteration for Integral
                                  Equations of the First Kind  . . . . . . 798--825
             Alan Feldstein and   
                  John R. Sopka   Numerical Methods for Nonlinear Volterra
                                  Integro-Differential Equations . . . . . 826--846

SIAM Journal on Numerical Analysis
Volume 11, Number 5, October, 1974

                 James R. Bunch   Analysis of Sparse Elimination . . . . . 847--873
                    R. A. Tapia   Newton's Method for Optimization
                                  Problems with Equality Constraints . . . 874--886
             Amnon Bracha-Barak   A Factorization Procedure for the
                                  Solution of Multidimensional Ellipti
                                  Partial Differential Equations . . . . . 887--893
                  Paul E. Saylo   Second Order Strongly Implicit Symmetric
                                  Factorization Methods for the Solution
                                  of Elliptic Difference Equations . . . . 894--908
          William J. Gordon and   
                 James A. Wixom   Pseudo-Harmonic Interpolation on Convex
                                  Domains  . . . . . . . . . . . . . . . . 909--933
                H. Wozniakowski   Maximal Stationary Iterative Methods for
                                  the Solution of Operator Equations . . . 934--949
          Bruce L. Chalmers and   
            Frederic T. Metcalf   Taylor-Like Remainder Formulas for
                                  Interpolation by Arbitrary Linear
                                  Functionals  . . . . . . . . . . . . . . 950--964
              L. W. Jackson and   
           Surender Kumar Kenue   A Fourth Order Exponentially Fitted
                                  Method . . . . . . . . . . . . . . . . . 965--978
               Blair Swartz and   
                Burton Wendroff   The Relative Efficiency of Finite
                                  Difference and Finite Element Methods.
                                  I: Hyperbolic Problems and Splines . . . 979--993
               Blair Swartz and   
                Burton Wendroff   The Relation between the Galerkin and
                                  Collocation Methods Using Smooth Splines 994--996
                  Linda Kaufman   The ${LZ}$-Algorithm to Solve the
                                  Generalized Eigenvalue Problem . . . . . 997--1024
                 C. W. Gear and   
                       K. W. Tu   The Effect of Variable Mesh Size on the
                                  Stability of Multistep Methods . . . . . 1025--1043
                 C. W. Gear and   
                 D. S. Watanabe   Stability and Convergence of Variable
                                  Order Multistep Methods  . . . . . . . . 1044--1058
               Vidar Thomee and   
                Burton Wendroff   Convergence Estimates for Galerkin
                                  Methods for Variable Coefficient Initial
                                  Value Problems . . . . . . . . . . . . . 1059--1068
       Werner C. Rheinboldt and   
           James S. Vandergraft   On the Local Convergence of Update
                                  Methods  . . . . . . . . . . . . . . . . 1069--1085

SIAM Journal on Numerical Analysis
Volume 11, Number 6, December, 1974

               Donna K. Dunaway   Calculation of Zeros of a Real
                                  Polynomial Through Factorization Using
                                  Euclid's Algorithm . . . . . . . . . . . 1087--1104
                  G. W. Stewart   The Convergence of Multipoint Iterations
                                  to Multiple Zeros  . . . . . . . . . . . 1105--1120
                 C. S. Caldwell   Rates of Convergence of Approximate
                                  Solutions of Parabolic Initial-Boundary
                                  Value Problems . . . . . . . . . . . . . 1121--1135
           Paul N. Swarztrauber   A Direct Method for the Discrete
                                  Solution of Separable Elliptic Equations 1136--1150
                James A. Cadzow   An Efficient Algorithmic Procedure for
                                  Obtaining a Minimum $l_\infty$-Norm
                                  Solution to a System of Consistent
                                  Linear Equations . . . . . . . . . . . . 1151--1165
              Frank De Hoog and   
                  Richard Weiss   High Order Methods for a Class of
                                  Volterra Integral Equations with Weakly
                                  Singular Kernels . . . . . . . . . . . . 1166--1180
                 Alfred Carasso   On Least Squares Methods for Parabolic
                                  Equations and the Computation of
                                  Time-Periodic Solutions  . . . . . . . . 1181--1192
          Bruce A. Chartres and   
            Robert S. Stepleman   Actual Order of Convergence of
                                  Runge--Kutta Methods on Differential
                                  Equations with Discontinuities . . . . . 1193--1206


SIAM Journal on Numerical Analysis
Volume 12, Number 1, March, 1975

                     E. Gekeler   A-Convergence of Finite Difference
                                  Approximations of Parabolic
                                  Initial-Boundary Value Problems  . . . . 1--12
              R. D. Russell and   
                 L. F. Shampine   Numerical Methods for Singular Boundary
                                  Value Problems . . . . . . . . . . . . . 13--36
                  To-Yat Cheung   Approximate Solutions and Error Bounds
                                  for Quasi-Linear Hyperbolic Initial
                                  Boundary Value Problems  . . . . . . . . 37--45
                   G. A. Watson   A Multiple Exchange Algorithm for
                                  Multivariate Chebyshev Approximation . . 46--52
                  Nai-Kuan Tsao   A Note on Implementing the Householder
                                  Transformation . . . . . . . . . . . . . 53--58
                 J. Thomas King   Semidiscrete Perturbed Variational
                                  Methods for the Numerical Solution of
                                  Parabolic Boundary Value Problems  . . . 59--72
                 Gene A. Kemper   Spline Function Approximation for
                                  Solutions of Functional Differential
                                  Equations  . . . . . . . . . . . . . . . 73--88
                     H. T. Kung   The Computational Complexity of
                                  Algebraic Numbers  . . . . . . . . . . . 89--96
             P. J. Eberlein and   
                    C. P. Huang   Global Convergence of the ${QR}$
                                  Algorithm for Unitary Matrices with some
                                  Results for Normal Matrices  . . . . . . 97--104
                   C. B. Dunham   Nonlinear Mean-Square Approximation on
                                  Finite Sets  . . . . . . . . . . . . . . 105--110
               K. O. Geddes and   
                    J. C. Mason   Polynomial Approximation by Projections
                                  on the Unit Circle . . . . . . . . . . . 111--120
                H. Wozniakowski   Generalized Information and Maximal
                                  Order of Iteration for Operator
                                  Equations  . . . . . . . . . . . . . . . 121--135

SIAM Journal on Numerical Analysis
Volume 12, Number 2, April, 1975

                K. R. James and   
                        W. Riha   Convergence Criteria for Successive
                                  Overrelaxation . . . . . . . . . . . . . 137--143
           J. E. Dendy, Jr. and   
                 G. Fairweather   Alternating-Direction Galerkin Methods
                                  for Parabolic and Hyperbolic Problems on
                                  Rectangular Polygons . . . . . . . . . . 144--163
                 Niel K. Madsen   Convergent Centered Difference Schemes
                                  for the Discrete Ordinate Neutron
                                  Transport Equations  . . . . . . . . . . 164--176
                   Lars Wahlbin   On Maximum Norm Error Estimates for
                                  Galerkin Approximations to
                                  One-Dimensional Second Order Parabolic
                                  Boundary Value Problems  . . . . . . . . 177--182
              Darell J. Johnson   On the Nontriviality of Restricted Range
                                  Polynomial Approximation . . . . . . . . 183--187
            Michael R. Gorelick   Stability of Families of Matrices of
                                  Unbounded Order  . . . . . . . . . . . . 188--202
                  Jorg Hertling   Numerical Treatment of Algebraic
                                  Integral Equations by Variational
                                  Methods  . . . . . . . . . . . . . . . . 203--212
               Kendall Atkinson   Convergence Rates for Approximate
                                  Eigenvalues of Compact Integral
                                  Operators  . . . . . . . . . . . . . . . 213--222
                  L. W. Jackson   Interval Arithmetic Error-Bounding
                                  Algorithms . . . . . . . . . . . . . . . 223--238
                  Frank Stenger   An Analytic Function which is an
                                  Approximate Characteristic Function  . . 239--254
                  Helmut Werner   Interpolation and Integration of Initial
                                  Value Problems of Ordinary Differential
                                  Equations by Regular Splines . . . . . . 255--271

SIAM Journal on Numerical Analysis
Volume 12, Number 3, June, 1975

                   Klaus Ritter   A Method of Conjugate Directions for
                                  Linearly Constrained Nonlinear
                                  Programming Problems . . . . . . . . . . 273--303
                  J. C. Butcher   An Order Bound for Runge--Kutta Methods  304--315
              L. A. Hageman and   
                T. A. Porsching   Aspects of Nonlinear Block Successive
                                  Overrelaxation . . . . . . . . . . . . . 316--335
                J. A. Brown and   
                    M. S. Henry   Best Chebyshev Composite Approximation   336--344
               Richard E. Ewing   Numerical Solution of Sobolev Partial
                                  Differential Equations . . . . . . . . . 345--363
                 Murli M. Gupta   Discretization Error Estimates for
                                  Certain Splitting Procedures for Solving
                                  First Biharmonic Boundary Value Problems 364--377
               Vidar Thomee and   
                   Lars Wahlbin   On Galerkin Methods in Semilinear
                                  Parabolic Problems . . . . . . . . . . . 378--389
              Frank Deutsch and   
             John H. McCabe and   
             George M. Phillips   Some Algorithms for Computing Best
                                  Approximations from Convex Cones . . . . 390--403
                  Ridgway Scott   Interpolated Boundary Conditions in the
                                  Finite Element Method  . . . . . . . . . 404--427
               Tetsuro Yamamoto   The Rayleigh--Ritz and Weinstein--Bazley
                                  Methods Applied to a Class of Ordinary
                                  Differential Equations of the Second
                                  Order. II  . . . . . . . . . . . . . . . 428--438
                  R. B. Simpson   A Method for the Numerical Determination
                                  of Bifurcation States of Nonlinear
                                  Systems of Equations . . . . . . . . . . 439--451
                Alan George and   
                   Wai-Hung Liu   A Note on Fill for Sparse Matrices . . . 452--455
                R. E. Showalter   \em A Priori Error Estimates for
                                  Approximation of Parabolic Boundary
                                  Value Problems . . . . . . . . . . . . . 456--463
               J. F. Ciavaldini   Analyse Numérique d'un Probl\`eme de
                                  Stefan \`a Deux Phases Par Une M\`ethode
                                  d'Éléments Finis [French: Numerical
                                  Analysis of a Problem of Stefan in Two
                                  Phases by a Finite-Element Method] . . . 464--487
             R. Jonathan Lermit   Numerical Methods for the Identification
                                  of Differential Equations  . . . . . . . 488--500
                       L. Garey   Solving Nonlinear Second Kind Volterra
                                  Equations by Modified Increment Methods  501--508

SIAM Journal on Numerical Analysis
Volume 12, Number 4, September, 1975

                 Bengt Fornberg   On a Fourier Method for the Integration
                                  of Hyperbolic Equations  . . . . . . . . 509--528
           Randolph E. Bank and   
                 Donald J. Rose   An ${O}(n^2)$ Method for Solving
                                  Constant Coefficient Boundary Value
                                  Problems in Two Dimensions . . . . . . . 529--540
               J. E. Dendy, Jr.   An Analysis of Some Galerkin Schemes for
                                  the Solution of Nonlinear Time-Dependent
                                  Problems . . . . . . . . . . . . . . . . 541--565
                    C. P. Huang   A Jacobi-Type Method for Triangularizing
                                  an Arbitrary Matrix  . . . . . . . . . . 566--570
                  M. R. Osborne   Some Special Nonlinear Least Squares
                                  Problems . . . . . . . . . . . . . . . . 571--592
                   A. H. Stroud   Some Interpolation Formulas for the
                                  Neumann Problem for the $n$-Sphere . . . 593--604
               M. M. Chawla and   
                   N. Jayarajan   Bivariate Cardinal Interpolation and
                                  Cubature Formulas  . . . . . . . . . . . 605--616
                C. C. Paige and   
                 M. A. Saunders   Solution of Sparse Indefinite Systems of
                                  Linear Equations . . . . . . . . . . . . 617--629
             Eckard Schmidt and   
            Peter Lancaster and   
                  David Watkins   Bases of Splines Associated with
                                  Constant Coefficient Differential
                                  Operators  . . . . . . . . . . . . . . . 630--645
             Alan E. Berger and   
              Melvyn Ciment and   
              Joel C. W. Rogers   Numerical Solution of a Diffusion
                                  Consumption Problem with a Free Boundary 646--672

SIAM Journal on Numerical Analysis
Volume 12, Number 5, October, 1975

                  T. O'Neil and   
                   J. W. Thomas   The Calculation of the Topological
                                  Degree by Quadrature . . . . . . . . . . 673--680
                C. S. Duris and   
                   J. N. Lyness   Compound Quadrature Rules for the
                                  Product of Two Functions . . . . . . . . 681--697
          P. A. W. Holyhead and   
                   S. McKee and   
                   P. J. Taylor   Multistep Methods for Solving Linear
                                  Volterra Integral Equations of the First
                                  Kind . . . . . . . . . . . . . . . . . . 698--711
                   T. J. Rivlin   Optimally Stable Lagrangian Numerical
                                  Differentiation  . . . . . . . . . . . . 712--725
                 Philip Brenner   Maximum-Norm Estimates of the Rate of
                                  Convergence of Dissipative Difference
                                  Schemes for Strictly Hyperbolic Systems  726--740
                  Torsten Strom   On Logarithmic Norms . . . . . . . . . . 741--753
            Stephen M. Robinson   Stability Theory for Systems of
                                  Inequalities. Part I: Linear Systems . . 754--769
                James W. Daniel   Remarks on Perturbations in Linear
                                  Inequalities . . . . . . . . . . . . . . 770--772
           Louis W. Ehrlich and   
                 Murli M. Gupta   Some Difference Schemes for the
                                  Biharmonic Equation  . . . . . . . . . . 773--790
               H. B. Keller and   
               A. B. White, Jr.   Difference Methods for Boundary Value
                                  Problems in Ordinary Differential
                                  Equations  . . . . . . . . . . . . . . . 791--802
                Mary F. Wheeler   An ${H}^{-1}$ Galerkin Method for
                                  Parabolic Problems in a Single Space
                                  Variable . . . . . . . . . . . . . . . . 803--817

SIAM Journal on Numerical Analysis
Volume 12, Number 6, December, 1975

            Charles F. Van Loan   A General Matrix Eigenvalue Algorithm    819--834
                 Robert C. Ward   The Combination Shift ${QZ}$ Algorithm   835--853
               William W. Hager   The Ritz--Trefftz Method for State and
                                  Control Constrained Optimal Control
                                  Problems . . . . . . . . . . . . . . . . 854--867
               I. Babu\vska and   
                  R. B. Kellogg   Nonuniform Error Estimates for the
                                  Finite Element Method  . . . . . . . . . 868--875
          Bruce A. Chartres and   
            Robert S. Stepleman   Order of Convergence of Linear Multistep
                                  Methods for Functional Differential
                                  Equations  . . . . . . . . . . . . . . . 876--886
            Robert S. Stepleman   A Characterization of Local Convergence
                                  for Fixed Point Iterations in ${R}^1$    887--894
                 P. Beaudet and   
                      T. Feagin   The Use of Back Corrections in Multistep
                                  Methods of Numerical Integration . . . . 895--918
         Mary Anne McCarthy and   
                    R. A. Tapia   Computable a Posteriori
                                  ${L}_\infty$-Error Bounds for the
                                  Approximate Solution of Two-Point
                                  Boundary Value Problems  . . . . . . . . 919--937
               Charles Hunt and   
                Nabil R. Nassif   On a Variational Inequality and its
                                  Approximation, in the Theory of
                                  Semiconductors . . . . . . . . . . . . . 938--950


SIAM Journal on Numerical Analysis
Volume 13, Number 1, March, 1976

                     E. Rakotch   Numerical Solution with Large Matrices
                                  of Fredholm's Integral Equation  . . . . 1--7
                   Rolf Jeltsch   Stiff Stability and its Relation to
                                  ${A}_0$-and ${A}(0)$-Stability . . . . . 8--17
            David L. Barrow and   
                   A. H. Stroud   Existence of Gauss Harmonic
                                  Interpolation Formulas . . . . . . . . . 18--26
            Russell C. Thompson   Convergence and Error Estimates for the
                                  Method of Lines for Certain Nonlinear
                                  Elliptic and Elliptic-Parabolic
                                  Equations  . . . . . . . . . . . . . . . 27--43
                      E. Kimchi   Chebyshev Spaces of Polynomials  . . . . 44--50
                  E. Kimchi and   
                    D. Leviatan   On Restricted Best Approximation to
                                  Functions with Restricted Derivatives    51--53
          Martin A. Diamond and   
        Dulcinea L. V. Ferreira   On a Cyclic Reduction Method for the
                                  Solution of Poisson's Equations  . . . . 54--70
                    J. M. Varah   Alternate Row and Column Elimination for
                                  Solving Certain Linear Systems . . . . . 71--75
            Charles F. Van Loan   Generalizing the Singular Value
                                  Decomposition  . . . . . . . . . . . . . 76--83
                 H. T. Kung and   
                    J. F. Traub   Optimal Order and Efficiency for
                                  Iterations with Two Evaluations  . . . . 84--99
                  Peter Percell   On Cubic and Quartic Clough--Tocher
                                  Finite Elements  . . . . . . . . . . . . 100--103
              M. P. Carroll and   
                 W. R. Woodward   An Algorithm for Approximate Integration
                                  Using Near Best Approximates . . . . . . 104--108
                Robert Beauwens   Semistrict Diagonal Dominance  . . . . . 109--112
               M. M. Chawla and   
             T. R. Ramakrishnan   Minimum Variance Approximate Formulas    113--128
             David Gottlieb and   
              Bertil Gustafsson   Generalized Du Fort-Frankel Methods for
                                  Parabolic Initial-Boundary Value
                                  Problems . . . . . . . . . . . . . . . . 129--144
                     A. R. Conn   Linear Programming Via a
                                  Nondifferentiable Penalty Function . . . 145--154

SIAM Journal on Numerical Analysis
Volume 13, Number 2, April, 1976

            T. Mahadeva Rao and   
             K. Subramanian and   
            E. V. Krishnamurthy   Residue Arithmetic Algorithms for Exact
                                  Computation of $g$-Inverses of Matrices  155--171
                John W. Hilgers   On the Equivalence of Regularization and
                                  Certain Reproducing Kernel Hilbert Space
                                  Approaches for Solving First Kind
                                  Problems . . . . . . . . . . . . . . . . 172--184
                 John E. Osborn   Approximation of the Eigenvalues of a
                                  Nonselfadjoint Operator Arising in the
                                  Study of the Stability of Stationary
                                  Solutions of the Navier--Stokes
                                  Equations  . . . . . . . . . . . . . . . 185--197
               Wai-Hung Liu and   
              Andrew H. Sherman   Comparative Analysis of the
                                  Cuthill--McKee and the Reverse
                                  Cuthill--McKee Ordering Algorithms for
                                  Sparse Matrices  . . . . . . . . . . . . 198--213
               I. Babu\vska and   
                     A. K. Aziz   On the Angle Condition in the Finite
                                  Element Method . . . . . . . . . . . . . 214--226
           Thomas E. Price, Jr.   Cubature Error Bounds for a Class of
                                  Analytic Functions . . . . . . . . . . . 227--235
            Norman E. Gibbs and   
      William G. Poole, Jr. and   
             Paul K. Stockmeyer   An Algorithm for Reducing the Bandwidth
                                  and Profile of a Sparse Matrix . . . . . 236--250
           Vincent G. Sigillito   \em A Priori Inequalities and
                                  Approximate Solutions of the First
                                  Boundary Value Problem for ${\Delta}^2u
                                  = f$ . . . . . . . . . . . . . . . . . . 251--260
                  M. P. Epstein   On the Influence of Parametrization in
                                  Parametric Interpolation . . . . . . . . 261--268
          P. A. W. Holyhead and   
                       S. McKee   Stability and Convergence of Multistep
                                  Methods for Linear Volterra Integral
                                  Equations of the First Kind  . . . . . . 269--292

SIAM Journal on Numerical Analysis
Volume 13, Number 3, June, 1976

                    A. K. Cline   A Descent Method for the Uniform
                                  Solution to Over-Determined Systems of
                                  Linear Equations . . . . . . . . . . . . 293--309
                S. Ellacott and   
                  Jack Williams   Rational Chebyshev Approximation in the
                                  Complex Plane  . . . . . . . . . . . . . 310--323
            Michael S. Borowsky   Characterizations of Best Complex
                                  Chebyshev Approximate Solutions of $Av =
                                  b$ . . . . . . . . . . . . . . . . . . . 324--336
            G. F. McCormick and   
                  V. A. Sposito   Using the ${L}_2$-Estimator in
                                  ${L}_1$-Estimation . . . . . . . . . . . 337--343
                 Paul D. Patent   The Effect of Quadrature Errors in the
                                  Computation of ${L}^2$ Piecewise
                                  Polynomial Approximations  . . . . . . . 344--361
                    Todd Dupont   A Unified Theory of Superconvergence for
                                  Galerkin Methods for Two-Point Boundary
                                  Problems . . . . . . . . . . . . . . . . 362--368
                  Stephen Demko   Lacunary Polynomial Spline Interpolation 369--381
                    Webb Miller   Roundoff Analysis by Direct Comparison
                                  of Two Algorithms  . . . . . . . . . . . 382--392
                 J. T. Oden and   
                    J. N. Reddy   On Mixed Finite Element Approximations   393--404
                  G. W. Reddien   Approximation Methods for Two-Point
                                  Boundary Value Problems with Nonlinear
                                  Boundary Conditions  . . . . . . . . . . 405--411
             Glenn Allinger and   
                    Myron Henry   Approximate Solutions of Differential
                                  Equations with Deviating Arguments . . . 412--426
                  David G. Herr   On Strand and Westwater's Minimum-RMS
                                  Estimation of the Numerical Solution of
                                  a Fredholm Integral Equation of the
                                  First Kind . . . . . . . . . . . . . . . 427--431
           Gerd-Peter Ehile and   
              Hubert Schwetlick   Discretized Euler--Chebyshev Multistep
                                  Methods  . . . . . . . . . . . . . . . . 432--447

SIAM Journal on Numerical Analysis
Volume 13, Number 4, September, 1976

               William W. Hager   Rates of Convergence for Discrete
                                  Approximations to Unconstrained Control
                                  Problems . . . . . . . . . . . . . . . . 449--472
              R. B. Kellogg and   
                   T. Y. Li and   
                       J. Yorke   A Constructive Proof of the Brouwer
                                  Fixed-Point Theorem and Computational
                                  Results  . . . . . . . . . . . . . . . . 473--483
                     Don Heller   Some Aspects of the Cyclic Reduction
                                  Algorithm for Block Tridiagonal Linear
                                  Systems  . . . . . . . . . . . . . . . . 484--496
            Stephen M. Robinson   Stability Theory for Systems of
                                  Inequalities, Part II: Differentiable
                                  Nonlinear Systems  . . . . . . . . . . . 497--513
                 C. S. Caldwell   Convergence Estimates for a Locally
                                  One-Dimensional Finite Difference Scheme
                                  for Parabolic Initial-Boundary Value
                                  Problems . . . . . . . . . . . . . . . . 514--519
                  A. G. Buckley   Constrained Minimization Using Powell's
                                  Conjugacy Approach . . . . . . . . . . . 520--535
                     E. Gekeler   Linear Multistep Methods and Galerkin
                                  Procedures for Initial Boundary Value
                                  Problems . . . . . . . . . . . . . . . . 536--548
                 Paul S. Jensen   Stiffly Stable Methods for Undamped
                                  Second Order Equations of Motion . . . . 549--563
                 Garth A. Baker   Error Estimates for Finite Element
                                  Methods for Second Order Hyperbolic
                                  Equations  . . . . . . . . . . . . . . . 564--576
             Garth A. Baker and   
          Vassilios A. Dougalis   The Effect of Quadrature Errors on
                                  Finite Element Approximations for Second
                                  Order Hyperbolic Equations . . . . . . . 577--598
                  Claes Johnson   A Convergence Estimate for an
                                  Approximation of a Parabolic Variational
                                  Inequality . . . . . . . . . . . . . . . 599--606
                 A. B. Stephens   The Convergence of the Residual for
                                  Projective Approximations  . . . . . . . 607--614
            Robert Beauwens and   
                    Lena Quenon   Existence Criteria for Partial Matrix
                                  Factorizations in Iterative Methods  . . 615--643
           J. E. Dendy, Jr. and   
                 G. Fairweather   Errata: ``Alternating-Direction Galerkin
                                  Methods for Parabolic and Hyperbolic
                                  Problems on Rectangular Polygons'' [SIAM
                                  J. Numer. Anal. \bf 12 (1975), no. 2,
                                  144--163]  . . . . . . . . . . . . . . . 644--644

SIAM Journal on Numerical Analysis
Volume 13, Number 5, October, 1976

                       E. Hofer   A Partially Implicit Method for Large
                                  Stiff Systems of ODE's with Only Few
                                  Equations Introducing Small
                                  Time-Constants . . . . . . . . . . . . . 645--663
                   Robert Skeel   Analysis of Fixed-Stepsize Methods . . . 664--685
               Iain S. Duff and   
              A. M. Erisman and   
                     J. K. Reid   On George's Nested Dissection Method . . 686--695
                    R. R. Meyer   On the Convergence of Algorithms with
                                  Restart  . . . . . . . . . . . . . . . . 696--704
             John M. Bownds and   
                     Bruce Wood   On Numerically Solving Nonlinear
                                  Volterra Integral Equations with Fewer
                                  Computations . . . . . . . . . . . . . . 705--719
      Roderick J. Dunn, Jr. and   
            Mary Fanett Wheeler   Some Collocation-Galerkin Methods for
                                  Two-Point Boundary Value Problems  . . . 720--733
                   S. Cabay and   
                  L. W. Jackson   A Polynomial Extrapolation Method for
                                  Finding Limits and Antilimits of Vector
                                  Sequences  . . . . . . . . . . . . . . . 734--752
                   Ian H. Sloan   Iterated Galerkin Method for Eigenvalue
                                  Problems . . . . . . . . . . . . . . . . 753--760
               David W. Kammler   Chebyshev Approximation of Completely
                                  Monotonic Functions by Sums of
                                  Exponentials . . . . . . . . . . . . . . 761--774
           Frank R. De Hoog and   
                  Richard Weiss   Difference Methods for Boundary Value
                                  Problems with a Singularity of the First
                                  Kind . . . . . . . . . . . . . . . . . . 775--813
            Richard S. Falk and   
                 J. Thomas King   A Penalty and Extrapolation Method for
                                  the Stationary Stokes Equations  . . . . 814--829

SIAM Journal on Numerical Analysis
Volume 13, Number 6, December, 1976

          J. E. Dennis, Jr. and   
                J. F. Traub and   
                    R. P. Weber   The Algebraic Theory of Matrix
                                  Polynomials  . . . . . . . . . . . . . . 831--845
                    Alan George   A Negative Result on Sparse Matrix
                                  Splitting and Gaussian Elimination . . . 846--853
                 C. R. Crawford   A Stable Generalized Eigenvalue Problem  854--860
         Richard P. Kendall and   
                Mary F. Wheeler   A Crank--Nicolson-$H^{-1}$--Galerkin
                                  Procedure for Parabolic Problems in a
                                  Single-Space Variable  . . . . . . . . . 861--876
             Abraham Berman and   
                Michael Neumann   Consistency and Splittings . . . . . . . 877--888
                W. B. Gragg and   
                  G. W. Stewart   A Stable Variant of the Secant Method
                                  for Solving Nonlinear Equations  . . . . 889--903
                 R. Cranley and   
             T. N. L. Patterson   Randomization of Number Theoretic
                                  Methods for Multiple Integration . . . . 904--914
                  A. Sharma and   
                 J. Tzimbalario   Cardinal $t$-Perfect ${L}$-Splines . . . 915--922
              P. M. Prenter and   
                  R. D. Russell   Orthogonal Collocation for Elliptic
                                  Partial Differential Equations . . . . . 923--939
             J. D. Hamilton and   
                    H. D. Meyer   Finite Element Solutions for Steady
                                  State Visco-Plastic Flow . . . . . . . . 940--943
              W. H. Enright and   
                     T. E. Hull   Test Results on Initial Value Methods
                                  for Non-Stiff Ordinary Differential
                                  Equations  . . . . . . . . . . . . . . . 944--961
                       Binh Lam   A Note on Best Uniform Rational
                                  Approximation  . . . . . . . . . . . . . 962--965


SIAM Journal on Numerical Analysis
Volume 14, Number 1, March, 1977

                Andrew M. Olson   A Two-Point Series Method for Two-Point
                                  Boundary Value Problems: Theoretical
                                  Foundation . . . . . . . . . . . . . . . 2--18
              Robert D. Russell   A Comparison of Collocation and Finite
                                  Differences for Two-Point Boundary Value
                                  Problems . . . . . . . . . . . . . . . . 19--39
            Melvin R. Scott and   
                Herman A. Watts   Computational Solution of Linear
                                  Two-Point Boundary Value Problems Via
                                  Orthonormalization . . . . . . . . . . . 40--70
            Mary Fanett Wheeler   A ${C}^0$-Collocation-Finite Element
                                  Method for Two-Point Boundary Value
                                  Problems and One Space Dimensional
                                  Parabolic Problems . . . . . . . . . . . 71--90
                 M. Lentini and   
                     V. Pereyra   An Adaptive Finite Difference Solver for
                                  Nonlinear Two-Point Boundary Problems
                                  with Mild Boundary Layers  . . . . . . . 91--111
                 R. F. Sincovec   On the Relative Efficiency of Higher
                                  Order Collocation Methods for Solving
                                  Two-Point Boundary Value Problems  . . . 112--123
                Paul Nelson and   
                   Ira T. Elder   Calculation of Eigenfunctions in the
                                  Context of Integration-to-Blowup . . . . 124--136
               J. H. George and   
                   H. G. Harris   Mathematical Modeling of in Situ Oil
                                  Shale Retorting  . . . . . . . . . . . . 137--151
            Michael A. Goldberg   Invariant Imbedding and Critical Length
                                  Problems . . . . . . . . . . . . . . . . 152--160

SIAM Journal on Numerical Analysis
Volume 14, Number 2, April, 1977

                    Alan George   Numerical Experiments Using Dissection
                                  Methods to Solve $n$ by $n$ Grid
                                  Problems . . . . . . . . . . . . . . . . 161--179
                C. C. Paige and   
                 M. A. Saunders   Least Squares Estimation of Discrete
                                  Linear Dynamic Systems Using Orthogonal
                                  Transformations  . . . . . . . . . . . . 180--193
                       Jet Wimp   New Methods for Accelerating the
                                  Convergence of Sequences Arising in
                                  Laplace Transform Theory . . . . . . . . 194--204
                   B. L. Buzbee   Application of Fast Poisson Solvers to
                                  ${A}$-Stable Marching Procedures for
                                  Parabolic Problems . . . . . . . . . . . 205--217
              J. H. Bramble and   
               A. H. Schatz and   
                  V. Thomee and   
                  L. B. Wahlbin   Some Convergence Estimates for
                                  Semidiscrete Galerkin Type
                                  Approximations for Parabolic Equations   218--241
                     Erich Bohl   On a Stability Inequality for Nonlinear
                                  Operators  . . . . . . . . . . . . . . . 242--253
             Michael A. Malcolm   On the Computation of Nonlinear Spline
                                  Functions  . . . . . . . . . . . . . . . 254--282
               J. N. Lyness and   
                    G. Monegato   Quadrature Rules for Regions having
                                  Regular Hexagonal Symmetry . . . . . . . 283--295
             Thomas J. Aird and   
                   John R. Rice   Systematic Search in High Dimensional
                                  Sets . . . . . . . . . . . . . . . . . . 296--312
               J. E. Dendy, Jr.   Alternating Direction Methods for
                                  Nonlinear Time-Dependent Problems  . . . 313--326
               J. E. Dendy, Jr.   Galerkin's Method for Some Highly
                                  Nonlinear Problems . . . . . . . . . . . 327--347
             Andrew R. Conn and   
           Tomasz Pietrzykowski   A Penalty Function Method Converging
                                  Directly to a Constrained Optimum  . . . 348--375

SIAM Journal on Numerical Analysis
Volume 14, Number 3, June, 1977

      Rutger J. Hangelbroek and   
              Hans G. Kaper and   
                   Gary K. Leaf   Collocation Methods for
                                  Integro-Differential Equations . . . . . 377--390
             Francis Mantel and   
              Philip Rabinowitz   The Application of Integer Programming
                                  to the Computation of Fully Symmetric
                                  Integration Formulas in Two and Three
                                  Dimensions . . . . . . . . . . . . . . . 391--425
                    Adir Pridor   Estimation of Moments for the Numerical
                                  Solution of Transport Problems . . . . . 426--440
                   Carl de Boor   Package for Calculating with B-Splines   441--472
               J. R. Cannon and   
                   P. DuChateau   Approximating the Solution to the Cauchy
                                  Problem for Laplace's Equation . . . . . 473--483
                  To-Yat Cheung   Three Nonlinear Initial Value Problems
                                  of the Hyperbolic Type . . . . . . . . . 484--491
              Ann Haegemans and   
                Robert Piessens   Construction of Cubature Formulas of
                                  Degree Seven and Nine Symmetric Planar
                                  Regions, Using Orthogonal Polynomials    492--508
                  G. W. Stewart   Perturbation Bounds for the ${QR}$
                                  Factorization of a Matrix  . . . . . . . 509--518
                     Uri Ascher   Linear Programming Algorithms for the
                                  Chebyshev Solution to a System of
                                  Consistent Linear Equations  . . . . . . 519--526
                 W. F. Langford   A Shooting Algorithm for the Best Least
                                  Squares Solution of Two-Point Boundary
                                  Value Problems . . . . . . . . . . . . . 527--542
                     Peter Linz   A General Theory for the Approximate
                                  Solution of Operator Equations of the
                                  Second Kind  . . . . . . . . . . . . . . 543--554
        Ronald D. Armstrong and   
                  John W. Hultz   An Algorithm for a Restricted Discrete
                                  Approximation Problem in the ${L}_1$
                                  Norm . . . . . . . . . . . . . . . . . . 555--565
                     A. Buckley   On the Solution of Certain Skew
                                  Symmetric Linear Systems . . . . . . . . 566--570
                  David W. Boyd   Nonconvergence in Bairstow's Method  . . 571--574

SIAM Journal on Numerical Analysis
Volume 14, Number 4, September, 1977

                     C. Johnson   A Mixed Finite Element Method for
                                  Plasticity Problems With Hardening . . . 575--583
            Kendall E. Atkinson   The Numerical Solution of a Bifurcation
                                  Problem  . . . . . . . . . . . . . . . . 584--599
                 Robert C. Ward   Numerical Computation of the Matrix
                                  Exponential With Accuracy Estimate . . . 600--610
                    R. E. Moore   A Test for Existence of Solutions to
                                  Nonlinear Systems  . . . . . . . . . . . 611--615
                  Stephen Demko   Inverses of Band Matrices and Local
                                  Convergence of Spline Projections  . . . 616--619
                   David Archer   An ${O}(h^4)$ Cubic Spline Collocation
                                  Method for Quasilinear Parabolic
                                  Equations  . . . . . . . . . . . . . . . 620--637
              Rudolf Mathon and   
                 R. L. Johnston   The Approximate Solution of Elliptic
                                  Boundary-Value Problems by Fundamental
                                  Solutions  . . . . . . . . . . . . . . . 638--650
                    Grace Wahba   Practical Approximate Solutions to
                                  Linear Operator Equations when the Data
                                  are Noisy  . . . . . . . . . . . . . . . 651--667
                  Seymour Haber   The Tanh Rule for Numerical Integration  668--685
                    C. S. Duris   Discrete Interpolating and Smoothing
                                  Spline Functions . . . . . . . . . . . . 686--698
         Carl D. Meyer, Jr. and   
                 R. J. Plemmons   Convergent Powers of a Matrix with
                                  Applications to Iterative Methods for
                                  Singular Linear Systems  . . . . . . . . 699--705
                Roland A. Sweet   A Cyclic Reduction Algorithm for Solving
                                  Block Tridiagonal Systems of Arbitrary
                                  Dimension  . . . . . . . . . . . . . . . 706--720
               David S. Watkins   Error Bounds for Polynomial Blending
                                  Function Methods . . . . . . . . . . . . 721--734
                K. C. Chung and   
                      T. H. Yao   On Lattices Admitting Unique Lagrange
                                  Interpolations . . . . . . . . . . . . . 735--743
                     Eli Turkel   Composite Methods for Hyperbolic
                                  Equations  . . . . . . . . . . . . . . . 744--759
                     R. Jeltsch   Stiff Stability of Multistep
                                  Multiderivative Methods  . . . . . . . . 760--772
               H. D. Mittelmann   On Pointwise Estimates for a Finite
                                  Element Solution of Nonlinear Boundary
                                  Value Problems . . . . . . . . . . . . . 773--778

SIAM Journal on Numerical Analysis
Volume 14, Number 5, September, 1977

             D. C. Brabston and   
                   H. B. Keller   A Numerical Method for Singular Two
                                  Point Boundary Value Problems  . . . . . 779--791
           Randolph E. Bank and   
                 Donald J. Rose   Marching Algorithms for Elliptic
                                  Boundary Value Problems. I: The Constant
                                  Coefficient Case . . . . . . . . . . . . 792--829
                  Paul T. Boggs   An Algorithm, Based on Singular
                                  Perturbation Theory, for Ill-Conditioned
                                  Minimization Problems  . . . . . . . . . 830--843
               Julio Cesar Diaz   A Collocation-Galerkin Method for the
                                  Two Point Boundary Value Problem Using
                                  Continuous Piecewise Polynomial Spaces   844--858
                 Bengt Lindberg   Characterization of Optimal Stepsize
                                  Sequences for Methods for Stiff
                                  Differential Equations . . . . . . . . . 859--887
               A. H. Stroud and   
                David L. Barrow   Integration Formulas for the Poisson
                                  Equations  . . . . . . . . . . . . . . . 888--903
                 Eli Passow and   
                John A. Roulier   Monotone and Convex Spline Interpolation 904--909
                R. D. Skeel and   
                  L. W. Jackson   Consistency of Nordsieck Methods . . . . 910--924
                   Pierre Jamet   Estimation of the Interpolation Error
                                  for Quadrilateral Finite Elements which
                                  Can Degenerate into Triangles  . . . . . 925--930
                Lucio Tavernini   Finite Difference Approximations for a
                                  Class of Semilinear Volterra Evolution
                                  Problems . . . . . . . . . . . . . . . . 931--949
               Randolph E. Bank   Marching Algorithms for Elliptic
                                  Boundary Value Problems. II: The
                                  Variable Coefficient Case  . . . . . . . 950--970

SIAM Journal on Numerical Analysis
Volume 14, Number 6, December, 1977

               Charles Van Loan   The Sensitivity of the Matrix
                                  Exponential  . . . . . . . . . . . . . . 971--981
               R. Leonard Brown   Some Characteristics of Implicit
                                  Multistep Multi-Derivative Integration
                                  Formulas . . . . . . . . . . . . . . . . 982--993
         John C. Bruch, Jr. and   
                 James M. Sloss   Harmonic Approximation with Dirichlet
                                  Data on Doubly Connected Regions . . . . 994--1005
                Roger Alexander   Diagonally Implicit Runge--Kutta Methods
                                  for Stiff O.D.E.'s . . . . . . . . . . . 1006--1021
            Theodore A. Bickart   An Efficient Solution Process for
                                  Implicit Runge--Kutta Methods  . . . . . 1022--1027
               J. E. Dendy, Jr.   An Alternating Direction Method for
                                  Schrödinger's Equation  . . . . . . . . . 1028--1032
            James W. Daniel and   
               Andrew J. Martin   Numerov's Method with Deferred
                                  Corrections for Two-Point Boundary-Value
                                  Problems . . . . . . . . . . . . . . . . 1033--1050
                R. E. Moore and   
                    S. T. Jones   Safe Starting Regions for Iterative
                                  Methods  . . . . . . . . . . . . . . . . 1051--1065
           John A. Trangenstein   A Finite Element Method for the Tricomi
                                  Problem in the Elliptic Region . . . . . 1066--1077
              David Elliott and   
                J. D. Donaldson   On Quadrature Rules for Ordinary and
                                  Cauchy Principal Value Integrals over
                                  Contours . . . . . . . . . . . . . . . . 1078--1087
                 R. Sacks-Davis   Solution of Stiff Ordinary Differential
                                  Equations by a Second Derivative Method  1088--1100
             Ahmed H. Sameh and   
               Richard P. Brent   Solving Triangular Systems on a Parallel
                                  Computer . . . . . . . . . . . . . . . . 1101--1113
                    J. M. Varah   On the Stability of Boundary Conditions
                                  for Separable Difference Approximations
                                  to Parabolic Equations . . . . . . . . . 1114--1125
                 Philip Brenner   ${L}_p$-Estimates of Difference Schemes
                                  for Strictly Hyperbolic Systems with
                                  Nonsmooth Data . . . . . . . . . . . . . 1126--1144
              J. H. Rowland and   
                     G. J. Miel   Exit Criteria for Newton--Cotes
                                  Quadrature Rules . . . . . . . . . . . . 1145--1150
              Bernard J. Omodei   On the Numerical Stability of the
                                  Rayleigh--Ritz Method  . . . . . . . . . 1151--1171


SIAM Journal on Numerical Analysis
Volume 15, Number 1, February, 1978

           Werner C. Rheinboldt   Numerical Methods for a Class of Finite
                                  Dimensional Bifurcation Problems . . . . 1--11
              Linda Kaufman and   
                 Victor Pereyra   A Method for Separable Nonlinear Least
                                  Squares Problems with Separable
                                  Nonlinear Equality Constraints . . . . . 12--20
              Heinz-Otto Kreiss   Difference methods for stiff ordinary
                                  differential equations . . . . . . . . . 21--58
              R. D. Russell and   
                J. Christiansen   Adaptive Mesh Selection Strategies for
                                  Solving Boundary Value Problems  . . . . 59--80
                       M. Dryja   Alternating Direction Galerkin Methods
                                  for the Systems of Hyperbolic Equations
                                  of First Order . . . . . . . . . . . . . 81--89
                Alan George and   
              David R. McIntyre   On the Application of the Minimum Degree
                                  Algorithm to Finite Element Systems  . . 90--112
          Richard L. Hanson and   
              James L. Phillips   Numerical Solution of Two-Dimensional
                                  Integral Equations Using Linear Elements 113--121
                   J. N. Lyness   Quadrature Over a Simplex: Part 1. A
                                  Representation for the Integrand
                                  Function . . . . . . . . . . . . . . . . 122--133
          D. M. Cruickshank and   
                      K. Wright   Computable Error Bounds for Polynomial
                                  Collocation Methods  . . . . . . . . . . 134--151
            Mary Fanett Wheeler   An Elliptic Collocation-Finite Element
                                  Method with Interior Penalties . . . . . 152--161
            C. Charalambous and   
                     A. R. Conn   An Efficient Method to Solve the Minimax
                                  Problem Directly . . . . . . . . . . . . 162--187
                C. William Gear   The Stability of Numerical Methods for
                                  Second Order Ordinary Differential
                                  Equations  . . . . . . . . . . . . . . . 188--197
           Frank R. De Hoog and   
                  Richard Weiss   Collocation Methods for Singular
                                  Boundary Value Problems  . . . . . . . . 198--217

SIAM Journal on Numerical Analysis
Volume 15, Number 2, April, 1978

                  Wayne T. Ford   Polynomial Deflation Using Regression
                                  Analysis . . . . . . . . . . . . . . . . 219--223
         Richard H. Bartels and   
             Andrew R. Conn and   
              James W. Sinclair   Minimization Techniques for Piecewise
                                  Differentiable Functions: The $l_1$
                                  Solution to an Overdetermined Linear
                                  System . . . . . . . . . . . . . . . . . 224--241
               David Archer and   
               Julio Cesar Diaz   A Family of Modified Collocation Methods
                                  for Second Order Two Point Boundary
                                  Value Problems . . . . . . . . . . . . . 242--254
         Richard H. Bartels and   
             Andrew R. Conn and   
        Christakis Charalambous   On Cline's Direct Method for Solving
                                  Overdetermined Linear Systems in the
                                  $l_\infty$ Sense . . . . . . . . . . . . 255--270
                   David Archer   Collocation in ${C}^0$ Spaces for First
                                  Order Hyperbolic Equations. I: Optimal
                                  Order Global Estimates for Quasilinear
                                  Problems . . . . . . . . . . . . . . . . 271--281
             Axel Grundmann and   
              H. M. Möller   Invariant integration formulas for the
                                  $n$-simplex by combinatorial methods . . 282--290
               D. R. Wilhelmsen   Optimal Quadrature for Periodic Analytic
                                  Functions  . . . . . . . . . . . . . . . 291--296
                Alan George and   
               Joseph W. H. Liu   Algorithms for matrix partitioning and
                                  the numerical solution of finite element
                                  systems  . . . . . . . . . . . . . . . . 297--327
               David L. B. Jupp   Approximation to Data by Splines with
                                  Free Knots . . . . . . . . . . . . . . . 328--343
          Alfred S. Carasso and   
         James G. Sanderson and   
                 James M. Hyman   Digital Removal of Random Media Image
                                  Degradations by Solving the Diffusion
                                  Equation Backwards in Time . . . . . . . 344--367
                 F. W. J. Olver   A New Approach to Error Arithmetic . . . 368--393
    Christopher T. H. Baker and   
               Malcolm S. Keech   Stability Regions in the Numerical
                                  Treatment of Volterra Integral Equations 394--417
                Jens Frehse and   
                 Rolf Rannacher   Asymptotic ${L}^\infty$-Error Estimates
                                  for Linear Finite Element Approximations
                                  of Quasilinear Boundary Value Problems   418--431

SIAM Journal on Numerical Analysis
Volume 15, Number 3, June, 1978

                   Rainer Kress   On Error Norms of the Trapezoidal Rule   433--443
                 David A. Field   Error Bounds for Elliptic Convergence
                                  Regions for Continued Fractions  . . . . 444--449
             Eusebius J. Doedel   The Construction of Finite Difference
                                  Approximations to Ordinary Differential
                                  Equations  . . . . . . . . . . . . . . . 450--465
                 R. W. Thatcher   On the Finite Element Method for
                                  Unbounded Regions  . . . . . . . . . . . 466--477
                     Uri Ascher   Discrete least squares approximations
                                  for ordinary differential equations  . . 478--496
               Irene Gargantini   Further Applications of Circular
                                  Arithmetic: Schroeder-Like Algorithms
                                  with Error Bounds for Finding Zeros of
                                  Polynomials  . . . . . . . . . . . . . . 497--510
                  G. R. Richter   Numerical Solution of Integral Equations
                                  of the First Kind with Nonsmooth Kernels 511--522
          J. E. Dennis, Jr. and   
                J. F. Traub and   
                    R. P. Weber   Algorithms for Solvents of Matrix
                                  Polynomials  . . . . . . . . . . . . . . 523--533
                     V. Girault   A Mixed Finite Element Method for the
                                  Stationary Stokes Equations  . . . . . . 534--555
                Richard S. Falk   Approximation of the Biharmonic Equation
                                  by a Mixed Finite Element Method . . . . 556--567
                 Lois Mansfield   Approximation of the Boundary in the
                                  Finite Element Solution of Fourth Order
                                  Problems . . . . . . . . . . . . . . . . 568--579
                  J. C. Nedelec   Computation of Eddy Currents on a
                                  Surface in ${R}^3$ by Finite Element
                                  Methods  . . . . . . . . . . . . . . . . 580--594
             Charles R. Johnson   Numerical Determination of the Field of
                                  Values of a General Complex Matrix . . . 595--602
               I. Barrodale and   
               F. D. K. Roberts   An Efficient Algorithm for Discrete
                                  $l_1$ Linear Approximation with Linear
                                  Constraints  . . . . . . . . . . . . . . 603--611
              Bruce A. Chalmers   On the Rate of Convergence of
                                  Discretization in Chebyshev
                                  Approximation  . . . . . . . . . . . . . 612--617
              K. R. Jackson and   
              W. H. Enright and   
                     T. E. Hull   A Theoretical Criterion for Comparing
                                  Runge--Kutta Formulas  . . . . . . . . . 618--641

SIAM Journal on Numerical Analysis
Volume 15, Number 4, August, 1978

                   G. J. Cooper   The Order of Convergence of General
                                  Linear Methods for Ordinary Differential
                                  Equations  . . . . . . . . . . . . . . . 643--661
                Alan George and   
      William G. Poole, Jr. and   
                Robert G. Voigt   Incomplete Nested Dissection for Solving
                                  $n$ by $n$ Grid Problems . . . . . . . . 662--673
                   H. Mukai and   
                       E. Polak   On the use of approximations in
                                  algorithms for optimization problems
                                  with equality and inequality constraints 674--693
                     L. Brutman   On the Lebesgue Function for Polynomial
                                  Interpolation  . . . . . . . . . . . . . 694--704
              Peter Percell and   
            Mary Fanett Wheeler   A Local Residual Finite Element
                                  Procedure for Elliptic Equations . . . . 705--714
                 Richard Holley   Exact Error Bounds for the Phase
                                  Velocity in an Acoustic Wave Guide . . . 715--735
               I. Babu\vska and   
               W. C. Rheinboldt   Error estimates for adaptive finite
                                  element computations . . . . . . . . . . 736--754
              Andrew H. Sherman   On Newton-Iterative Methods for the
                                  Solution of Systems of Nonlinear
                                  Equations  . . . . . . . . . . . . . . . 755--771
                   J. H. Verner   Explicit Runge--Kutta Methods with
                                  Estimates of the Local Truncation Error  772--790
                 Richard Franke   On the Computation of Optimal
                                  Approximations in Sard Corner Spaces . . 791--800
                   Olof Widlund   A Lanczos Method for a Class of
                                  Nonsymmetric Systems of Linear Equations 801--812
               Dennis Jespersen   Ritz--Galerkin Methods for Singular
                                  Boundary Value Problems  . . . . . . . . 813--834
                    T. H. Chong   A Variable Mesh Finite Difference Method
                                  for Solving a Class of Parabolic
                                  Differential Equations in one Space
                                  Variable . . . . . . . . . . . . . . . . 835--857

SIAM Journal on Numerical Analysis
Volume 15, Number 5, October, 1978

         Juhani Pitkäranta   On the Spatial Differencing of the
                                  Discrete Ordinate Neutron Transport
                                  Equation . . . . . . . . . . . . . . . . 859--869
                   J. N. Lyness   Quadrature over a Simplex: Part 2. A
                                  Representation for the Error Functional  870--887
                 John de Pillis   Faster Convergence for Iterative
                                  Solutions to Systems via Three-Part
                                  Splittings . . . . . . . . . . . . . . . 888--911
                   Pierre Jamet   Galerkin-type approximations which are
                                  discontinuous in time for parabolic
                                  equations in a variable domain . . . . . 912--928
                W. Hoffmann and   
                  B. N. Parlett   A new proof of global convergence for
                                  the tridiagonal QL algorithm . . . . . . 929--937
                 Tateaki Sasaki   Multidimensional Monte Carlo integration
                                  based on factorized approximation
                                  functions  . . . . . . . . . . . . . . . 938--952
               C. R. Morrow and   
             T. N. L. Patterson   Construction of algebraic cubature rules
                                  using polynomial ideal theory  . . . . . 953--976
             Philip E. Gill and   
                  Walter Murray   Algorithms for the solution of the
                                  nonlinear least-squares problem  . . . . 977--992
                  G. W. Reddien   On Newton's Method for Singular Problems 993--996
                  R. Saigal and   
                     M. J. Todd   Efficient acceleration techniques for
                                  fixed point algorithms . . . . . . . . . 997--1007
              Syvert P. Norsett   Restricted Padé Approximations to the
                                  Exponential Function . . . . . . . . . . 1008--1029
                  E. Kimchi and   
                 N. Richter-Dyn   Restricted range approximation of
                                  $k$-convex functions in monotone norms   1030--1038
                Lucio Tavernini   The approximate solution of Volterra
                                  differential systems with
                                  state-dependent time lags  . . . . . . . 1039--1052
                Alan George and   
               Joseph W. H. Liu   An automatic nested dissection algorithm
                                  for irregular finite element problems    1053--1069
                 C. R. Crawford   Errata: ``A Stable Generalized
                                  Eigenvalue Problem'' [SIAM J. Numer.
                                  Anal. \bf 13 (1976), no. 6, 854--860]    1070--1070

SIAM Journal on Numerical Analysis
Volume 15, Number 6, December, 1978

                    J. T. Marti   An algorithm for computing minimum norm
                                  solutions of Fredholm integral equations
                                  of the first kind  . . . . . . . . . . . 1071--1076
               David W. Kammler   Numerical Evaluation of $\exp(tA)$ when
                                  ${A}$ is a Companion Matrix  . . . . . . 1077--1102
                 A. K. Aziz and   
                   S. Leventhal   Finite Element Approximation for First
                                  Order Systems  . . . . . . . . . . . . . 1103--1111
   Françoise E. Chatelin   Numerical computation of the
                                  eigenelements of linear integral
                                  operators by iterations  . . . . . . . . 1112--1124
               Richard E. Ewing   Time-stepping Galerkin methods for
                                  nonlinear Sobolev partial differential
                                  equations  . . . . . . . . . . . . . . . 1125--1150
                John Locker and   
                  P. M. Prenter   Optimal ${L}^{2}$ and ${L}^{\infty }$
                                  error estimates for continuous and
                                  discrete least squares methods for
                                  boundary value problems  . . . . . . . . 1151--1160
                     David Hoff   Stability and convergence of finite
                                  difference methods for systems of
                                  nonlinear reaction-diffusion equations   1161--1177
                 James A. Wixom   Interpolation to networks of curves in
                                  ${E}^{3}$  . . . . . . . . . . . . . . . 1178--1193
                    R. E. Moore   A computational test for convergence of
                                  iterative methods for nonlinear systems  1194--1196
                J. N. Henry and   
                M. S. Henry and   
                     D. Schmidt   Numerical comparisons of algorithms for
                                  polynomial and rational multivariate
                                  approximations . . . . . . . . . . . . . 1197--1207
                   Carl de Boor   A Comment on ``Numerical Comparisons of
                                  Algorithms for Polynomial and Rational
                                  Multivariate Approximations'' [SIAM J.
                                  Numer. Anal. \bf 15 (1978), no. 6,
                                  1197--1207, by J. N. Henry, M. S. Henry
                                  and D. Schmidt]  . . . . . . . . . . . . 1208--1211
               J. D. Lawson and   
                  J. Ll. Morris   The extrapolation of first order methods
                                  for parabolic partial differential
                                  equations. I . . . . . . . . . . . . . . 1212--1224
                   K. O. Geddes   Near-minimax polynomial approximation in
                                  an elliptical region . . . . . . . . . . 1225--1233
                    J. M. Varah   Stiffly stable linear multistep methods
                                  of extended order  . . . . . . . . . . . 1234--1246
                   D. F. Shanno   On the convergence of a new conjugate
                                  gradient algorithm . . . . . . . . . . . 1247--1257
                Kenneth P. Bube   ${C}^m$ Convergence of Trigonometric
                                  Interpolants . . . . . . . . . . . . . . 1258--1268
                  John M. Karon   Computing improved Chebyshev
                                  approximations by the continuation
                                  method. I. Description of an algorithm   1269--1288
                S. Yakowitz and   
              J. E. Krimmel and   
                F. Szidarovszky   Weighted Monte Carlo Integration . . . . 1289--1300
                  J. W. Hilgers   Erratum: ``On the Equivalence of
                                  Regularization and Certain Reproducing
                                  Kernel Hilbert Space Approaches for
                                  Solving First Kind Problems'' [SIAM J.
                                  Numer. Anal. \bf 13 (1976), no. 2,
                                  172--184]  . . . . . . . . . . . . . . . 1301--1301


SIAM Journal on Numerical Analysis
Volume 16, Number 1, February, 1979

               P. Deuflhard and   
                      G. Heindl   Affine invariant convergence theorems
                                  for Newton's method and extensions to
                                  related methods  . . . . . . . . . . . . 1--10
                   P. Keast and   
                   J. N. Lyness   On the structure of fully symmetric
                                  multidimensional quadrature rules  . . . 11--29
               David W. Kammler   ${L}_1$-approximation of completely
                                  monotonic functions by sums of
                                  exponentials . . . . . . . . . . . . . . 30--45
              Kevin Burrage and   
                  J. C. Butcher   Stability criteria for implicit
                                  Runge--Kutta methods . . . . . . . . . . 46--57
                    O. Axelsson   Preconditioning of indefinite problems
                                  by regularization  . . . . . . . . . . . 58--69
             R. A. El-Attar and   
              M. Vidyasagar and   
                 S. R. K. Dutta   An algorithm for ${L}_1$-norm
                                  minimization with application to
                                  nonlinear ${L}_1$-approximation  . . . . 70--86
         Avraham A. Melkman and   
           Charles A. Micchelli   Optimal estimation of linear operators
                                  in Hilbert spaces from inaccurate data   87--105
                       S. McKee   Cyclic multistep methods for solving
                                  Volterra integro-differential equations  106--114
                  M. L. Dow and   
                  David Elliott   The numerical solution of singular
                                  integral equations over $(-1,\,1)$ . . . 115--134
          Peter D. Robinson and   
            Michael F. Barnsley   Pointwise bivariational bounds on
                                  solutions of Fredholm integral equations 135--144
                Mitchell Luskin   An approximation procedure for
                                  nonsymmetric, nonlinear hyperbolic
                                  systems with integral boundary
                                  conditions . . . . . . . . . . . . . . . 145--164
                    C. C. Paige   Fast numerically stable computations for
                                  generalized linear least squares
                                  problems . . . . . . . . . . . . . . . . 165--171

SIAM Journal on Numerical Analysis
Volume 16, Number 2, April, 1979

             Eusebius J. Doedel   Finite difference collocation methods
                                  for nonlinear two-point boundary value
                                  problems . . . . . . . . . . . . . . . . 173--185
             Wilhelm Niethammer   On different splittings and the
                                  associated iteration methods . . . . . . 186--200
                   W. Hackbusch   On the computation of approximate
                                  eigenvalues and eigenfunctions of
                                  elliptic operators by means of a
                                  multi-grid method  . . . . . . . . . . . 201--215
                    J. M. Varah   On the Separation of Two Matrices  . . . 216--222
             David A. Smith and   
                William F. Ford   Acceleration of Linear and Logarithmic
                                  Convergence  . . . . . . . . . . . . . . 223--240
               H. B. Keller and   
                     V. Pereyra   Difference methods and deferred
                                  corrections for ordinary boundary value
                                  problems . . . . . . . . . . . . . . . . 241--259
                J. H. Avila and   
                      P. Concus   Updata Methods for Highly Structured
                                  Systems of Nonlinear Equations . . . . . 260--269
           Paul Nelson, Jr. and   
           H. Dean Victory, Jr.   Theoretical properties of
                                  one-dimensional discrete ordinates . . . 270--283
                Mitchell Luskin   A Galerkin method for nonlinear
                                  parabolic equations with nonlinear
                                  boundary conditions  . . . . . . . . . . 284--299
                  M. Y. Cosnard   On the Behavior of Successive
                                  Approximations . . . . . . . . . . . . . 300--310
                Hans J. Stetter   Interpolation and error estimation in
                                  Adams PC-codes . . . . . . . . . . . . . 311--323
              Shmuel Kaniel and   
                     Achiya Dax   A modified Newton's method for
                                  unconstrained minimization . . . . . . . 324--331
                  J. R. Kuttler   Dirichlet Eigenvalues  . . . . . . . . . 332--338
                   Rolf Jeltsch   Corrigendum: ``Stiff Stability of
                                  Multistep Multiderivative Methods''
                                  [SIAM J. Numer. Anal. \bf 14 (1977), no.
                                  4, 760--772, MR \bf 57 #11058] . . . . . 339--345
          Richard J. Lipton and   
             Donald J. Rose and   
            Robert Endre Tarjan   Generalized Nested Dissection  . . . . . 346--358
          Connice A. Bavely and   
                  G. W. Stewart   An Algorithm for Computing Reducing
                                  Subspaces by Block Diagonalization . . . 359--367
                A. K. Cline and   
                C. B. Moler and   
              G. W. Stewart and   
                J. H. Wilkinson   An Estimate for the Condition Number of
                                  a Matrix . . . . . . . . . . . . . . . . 368--375

SIAM Journal on Numerical Analysis
Volume 16, Number 3, June, 1979

            Stephen M. Robinson   Quadratic Interpolation is Risky . . . . 377--379
                  Zenon Fortuna   Some convergence properties of the
                                  conjugate gradient method in Hilbert
                                  space  . . . . . . . . . . . . . . . . . 380--384
                 G. W. Hedstrom   The Galerkin Method Based on Hermite
                                  Cubics . . . . . . . . . . . . . . . . . 385--393
                Layne T. Watson   An Algorithm that is Globally Convergent
                                  with Probability One for a Class of
                                  Nonlinear Two-Point Boundary Value
                                  Problems . . . . . . . . . . . . . . . . 394--401
             Michael Steuerwalt   The existence, computation, and number
                                  of solutions of periodic parabolic
                                  problems . . . . . . . . . . . . . . . . 402--420
          Heinz-Otto Kreiss and   
                  Joseph Oliger   Stability of the Fourier Method  . . . . 421--433
José Mario Martínez   Generalization of the Methods of Brent
                                  and Brown for Solving Nonlinear
                                  Simultaneous Equations . . . . . . . . . 434--448
              Friedrich Stummel   The Generalized Patch Test . . . . . . . 449--471
           Andrew B. White, Jr.   On selection of equidistributing meshes
                                  for two-point boundary-value problems    472--502
           Jim Douglas, Jr. and   
                Todd Dupont and   
               Richard E. Ewing   Incomplete iteration for time-stepping a
                                  Galerkin method for a quasilinear
                                  parabolic problem  . . . . . . . . . . . 503--522
           P. J. van der Houwen   Stabilized Runge--Kutta Methods for
                                  Second Order Differential Equations
                                  without First Derivatives  . . . . . . . 523--537
            David Westreich and   
                Yaakov L. Varol   Numerical Bifurcation at Simple
                                  Eigenvalues  . . . . . . . . . . . . . . 538--546

SIAM Journal on Numerical Analysis
Volume 16, Number 4, August, 1979

               Janina Jankowska   Theory of Multivariate Secant Methods    547--562
          Joel C. W. Rogers and   
             Alan E. Berger and   
                  Melvyn Ciment   The alternating phase truncation method
                                  for numerical solution of a Stefan
                                  problem  . . . . . . . . . . . . . . . . 563--587
                    Earl Marwil   Convergence results for Schubert's
                                  method for solving sparse nonlinear
                                  equations  . . . . . . . . . . . . . . . 588--604
                   J. F. Andrus   Numerical solution of systems of
                                  ordinary differential equations
                                  separated into subsystems  . . . . . . . 605--611
               Nira Richter-Dyn   On Best Nonlinear Approximation in
                                  Sign-Monotone Norms and in Norms Induced
                                  by Inner Products  . . . . . . . . . . . 612--622
                   David M. Gay   Some Convergence Properties of Broyden's
                                  Method . . . . . . . . . . . . . . . . . 623--630
                  Arieh Iserles   On the generalized Padé approximations to
                                  the exponential function . . . . . . . . 631--636
           Frank R. de Hoog and   
                  Richard Weiss   The Numerical Solution of Boundary Value
                                  Problems with an Essential Singularity   637--669
               Reuben Hersh and   
                     Tosio Kato   High-accuracy stable difference schemes
                                  for well-posed initial value problems    670--682
             Philip Brenner and   
            Vidar Thomée   On Rational Approximations of Semigroups 683--694
          Wendell H. Mills, Jr.   The resolvent stability condition for
                                  spectra convergence with application to
                                  the finite element approximation of
                                  noncompact operators . . . . . . . . . . 695--703
          Wendell H. Mills, Jr.   Optimal error estimates for the finite
                                  element spectral approximation of
                                  noncompact operators . . . . . . . . . . 704--718

SIAM Journal on Numerical Analysis
Volume 16, Number 5, October, 1979

                Richard F. King   An extrapolation method of order four
                                  for linear sequences . . . . . . . . . . 719--725
                    Ole H. Hald   Convergence of vortex methods for
                                  Euler's equations. II  . . . . . . . . . 726--755
           Arthur G. Deacon and   
                  Stanley Osher   A finite element method for a boundary
                                  value problem of mixed type  . . . . . . 756--778
             Sandro Incerti and   
             Valerio Parisi and   
              Francesco Zirilli   A new method for solving nonlinear
                                  simultaneous equations . . . . . . . . . 779--789
                   I. M. Sobol'   On the Systematic Search in a Hypercube  790--793
                 Larry Nazareth   A relationship between the BFGS and
                                  conjugate gradient algorithms and its
                                  implications for new algorithms  . . . . 794--800
               David W. Kammler   Least squares approximation of
                                  completely monotonic functions by sums
                                  of exponentials  . . . . . . . . . . . . 801--818
                  Jack Williams   Characterization and computation of
                                  rational Chebyshev approximations in the
                                  complex plane  . . . . . . . . . . . . . 819--827
                  A. Granas and   
             R. B. Guenther and   
                      J. W. Lee   The shooting method for the numerical
                                  solution of a class of nonlinear
                                  boundary value problems  . . . . . . . . 828--836
                  Said Doss and   
                   Keith Miller   Dynamic ADI Methods for Elliptic
                                  Equations  . . . . . . . . . . . . . . . 837--856
                   J. H. Verner   Families of Imbedded Runge--Kutta
                                  Methods  . . . . . . . . . . . . . . . . 857--875

SIAM Journal on Numerical Analysis
Volume 16, Number 6, December, 1979

           Stephen W. Brady and   
                 Alan R. Elcrat   Some results on a posteriori error
                                  estimation for approximate solutions of
                                  second order elliptic problems . . . . . 877--889
    Christopher T. H. Baker and   
           Athena Makroglou and   
                   Edward Short   Regions of stability in the numerical
                                  treatment of Volterra
                                  integro-differential equations . . . . . 890--910
 Julio César Díaz   Collocation-${H}^{-1}$-Galerkin Method
                                  for Parabolic Problems with Time
                                  Dependent Coefficients . . . . . . . . . 911--922
                  M. R. Osborne   The Stabilized March is Stable . . . . . 923--933
           Paul N. Swarztrauber   On the spectral approximation of
                                  discrete scalar and vector functions on
                                  the sphere . . . . . . . . . . . . . . . 934--949
                 J. E. Cope and   
                     B. W. Rust   Bounds on solutions of linear systems
                                  with inaccurate data . . . . . . . . . . 950--963
                P. L. Lions and   
                     B. Mercier   Splitting algorithms for the sum of two
                                  nonlinear operators  . . . . . . . . . . 964--979
              Heinz-Otto Kreiss   Problems with different time scales for
                                  ordinary differential equations  . . . . 980--998
           Thomas E. Price, Jr.   Orthogonal polynomials for nonclassical
                                  weight functions . . . . . . . . . . . . 999--1006
                Robert Schaback   Suboptimal Exponential Approximations    1007--1018
                  Tze Chien Sun   A finite element method for random
                                  differential equations with random
                                  coefficients . . . . . . . . . . . . . . 1019--1035
                      Ph. Toint   On the superlinear convergence of an
                                  algorithm for solving a sparse
                                  minimization problem . . . . . . . . . . 1036--1045
                 Joseph Pasciak   The penalty correction method for
                                  elliptic boundary value problems . . . . 1046--1059
            M. J. D. Powell and   
                   Ph. L. Toint   On the Estimation of Sparse Hessian
                                  Matrices . . . . . . . . . . . . . . . . 1060--1074
                  J. Prasad and   
                    A. K. Varma   Lacunary Interpolation by Quintic
                                  Splines  . . . . . . . . . . . . . . . . 1075--1079
                   I. M. Sobol'   Erratum: ``On the Systematic Search in a
                                  Hypercube'' [SIAM J. Numer. Anal. \bf 16
                                  (1979), no. 5, 790--793, MR 80f:65072]   1080--1080


SIAM Journal on Numerical Analysis
Volume 17, Number 1, February, 1980

           William E. Smith and   
                   Ian H. Sloan   Product-integration rules based on the
                                  zeros of Jacobi polynomials  . . . . . . 1--13
                 Ragnar Winther   Some superlinear convergence results for
                                  the conjugate gradient method  . . . . . 14--17
                  Zahari Zlatev   On some pivotal strategies in Gaussian
                                  elimination by sparse technique  . . . . 18--30
                   Eric Braaten   An improved measure of the nonuniformity
                                  of the distribution of a sequence  . . . 31--32
                Lars B. Wahlbin   A remark on parabolic smoothing and the
                                  finite element method  . . . . . . . . . 33--38
                        D. Meek   The inverses of some matrices deviating
                                  slightly from a symmetric, tridiagonal,
                                  Toeplitz form  . . . . . . . . . . . . . 39--43
                     G. Nielson   Minimum Norm Interpolation in Triangles  44--62
          Charles B. Dunham and   
            Charles R. Crawford   Minimax Approximation by a Semi-Circle   63--65
               D. W. Decker and   
                   C. T. Kelley   Newton's Method at Singular Points. I    66--70
             H. D. Victory, Jr.   Convergence properties of
                                  discrete-ordinates solutions for neutron
                                  transport in three-dimensional media . . 71--83
                 D. C. Sorensen   The ${Q}$-superlinear convergence of a
                                  collinear scaling algorithm for
                                  unconstrained optimization . . . . . . . 84--114
           N. I. Ioakimidis and   
                P. S. Theocaris   A comparison between the direct and the
                                  classical numerical methods for the
                                  solution of Cauchy type singular
                                  integral equations . . . . . . . . . . . 115--118
             Philip Brenner and   
            Vidar Thomée   On Rational Approximations of Groups of
                                  Operators  . . . . . . . . . . . . . . . 119--125
               J. N. Lyness and   
                     A. C. Genz   On Simplex Trapezoidal Rule Families . . 126--147
                     L. B. Rall   A comparison of the existence theorems
                                  of Kantorovich and Moore . . . . . . . . 148--161
                  Miente Bakker   On the numerical solution of parabolic
                                  equations in a single space variable by
                                  the continuous time Galerkin method  . . 162--177

SIAM Journal on Numerical Analysis
Volume 17, Number 2, April, 1980

                Wolfgang Dahmen   On Multivariate B-Splines  . . . . . . . 179--191
               Joseph W. Jerome   Convergence of successive iterative
                                  semidiscretizations for FitzHugh--Nagumo
                                  reaction diffusion systems . . . . . . . 192--206
              J. Barkley Rosser   Majorization formulas for a biharmonic
                                  function of two variables  . . . . . . . 207--220
           Werner C. Rheinboldt   Solution fields of nonlinear equations
                                  and continuation methods . . . . . . . . 221--237
              F. N. Fritsch and   
                  R. E. Carlson   Monotone Piecewise Cubic Interpolation   238--246
                John Locker and   
                  P. M. Prenter   Regularization with differential
                                  operators. II. Weak least squares finite
                                  element solutions to first kind integral
                                  equations  . . . . . . . . . . . . . . . 247--267
             William C. Davidon   Conic approximations and collinear
                                  scalings for optimizers  . . . . . . . . 268--281
                Alan George and   
               Joseph W. H. Liu   A minimal storage implementation of the
                                  minimum degree algorithm . . . . . . . . 282--299
                    J. M. Varah   Stability Restrictions on Second Order,
                                  Three Level Finite Difference Schemes
                                  for Parabolic Equations  . . . . . . . . 300--309
             C. W. Clenshaw and   
                 F. W. J. Olver   An unrestricted algorithm for the
                                  exponential function . . . . . . . . . . 310--331

SIAM Journal on Numerical Analysis
Volume 17, Number 3, June, 1980

                H. Ratschek and   
                       J. Rokne   About the Centered Form  . . . . . . . . 333--337
              Lars Eldén   Perturbation Theory for the Least
                                  Squares Problem with Linear Equality
                                  Constraints  . . . . . . . . . . . . . . 338--350
           Richard E. Ewing and   
            Mary Fanett Wheeler   Galerkin methods for miscible
                                  displacement problems in porous media    351--365
                     L. Brutman   On the polynomial and rational
                                  projections in the complex plane . . . . 366--372
                 L. Brutman and   
                      A. Pinkus   On the Erd\Hos Conjecture Concerning
                                  Minimal Norm Interpolation on the Unit
                                  Circle . . . . . . . . . . . . . . . . . 373--375
                    M. A. Wolfe   A Modification of Krawczyk's Algorithm   376--379
                  W. Dahmen and   
                 R. De Vore and   
                     K. Scherer   Multi-Dimensional Spline Approximation   380--402
                  G. W. Stewart   The efficient generation of random
                                  orthogonal matrices with an application
                                  to condition estimators  . . . . . . . . 403--409 (loose microfiche supplement)
           P. J. van der Houwen   Multistep Splitting Methods of High
                                  Order for Initial Value Problems . . . . 410--427
              Charles B. Dunham   Behavior of the one-sided alternating
                                  Chebyshev operator . . . . . . . . . . . 428--430
      Vassilios A. Dougalis and   
               Steven M. Serbin   On the superconvergence of Galerkin
                                  approximations to second-order
                                  hyperbolic equations . . . . . . . . . . 431--446
              Kathie L. Hiebert   Solving Systems of Linear Equations and
                                  Inequalities . . . . . . . . . . . . . . 447--464
               D. W. Decker and   
                   C. T. Kelley   Newton's Method at Singular Points. II   465--471
                John W. Hilgers   A note on estimating the optimal
                                  regularization parameter . . . . . . . . 472--473
                 W. S. Ericksen   Inverse Pairs of Matrices with Integer
                                  Elements . . . . . . . . . . . . . . . . 474--477

SIAM Journal on Numerical Analysis
Volume 17, Number 4, August, 1980

               George E. Backus   The Topping Algorithm for Calculating
                                  Extrema of Polynomials on Subsets of
                                  ${R}^n$  . . . . . . . . . . . . . . . . 479--511
               R. Günttner   Evaluation of Lebesgue Constants . . . . 512--520
                R. E. Moore and   
             J. B. Kioustelidis   A simple test for accuracy of
                                  approximate solutions to nonlinear (or
                                  linear) systems  . . . . . . . . . . . . 521--529
                   Pierre Jamet   Stability and convergence of a
                                  generalized Crank--Nicolson scheme on a
                                  variable mesh for the heat equation  . . 530--539
        C. B. García and   
                       T. Y. Li   On the number of solutions to polynomial
                                  systems of equations . . . . . . . . . . 540--546
               Robert Schreiber   Finite element methods of high-order
                                  accuracy for singular two-point boundary
                                  value problems with nonsmooth solutions  547--566
                   G. Moore and   
                      A. Spence   The calculation of turning points of
                                  nonlinear equations  . . . . . . . . . . 567--576
          Marianela Lentini and   
              Herbert B. Keller   Boundary value problems on semi-infinite
                                  intervals and their numerical solution   577--604

SIAM Journal on Numerical Analysis
Volume 17, Number 5, October, 1980

              Peter Percell and   
            Mary Fanett Wheeler   A ${C}^{1}$ finite element collocation
                                  method for elliptic equations  . . . . . 605--622
              Bertil Gustafsson   Asymptotic expansions for hyperbolic
                                  problems with different time-scales  . . 623--634
              Charles B. Dunham   The rate of convergence of
                                  discretization in Chebyshev
                                  approximation on rectangular sets  . . . 635--638
              Charles B. Dunham   Stability of differential correction for
                                  rational Chebyshev approximation . . . . 639--640
              A. R. Gourlay and   
                  J. Ll. Morris   The extrapolation of first order methods
                                  for parabolic partial differential
                                  equations. II  . . . . . . . . . . . . . 641--655
                    H. Ratschek   Centered Forms . . . . . . . . . . . . . 656--662
            Manfred Dobrowolski   ${L}^{\infty }$-convergence of linear
                                  finite element approximation to
                                  nonlinear parabolic problems . . . . . . 663--674
                    D. J. Evans   On the solution of certain Toeplitz
                                  tridiagonal linear systems . . . . . . . 675--680
                 A. K. Aziz and   
                   A. Werschulz   On the Numerical Solution of Helmholtz's
                                  Equation by the Finite Element Method    681--686
                        Y. Saad   On the rates of convergence of the
                                  Lanczos and the block Lanczos methods    687--706
                    W. W. Symes   Numerical Stability in an Inverse
                                  Scattering Problem . . . . . . . . . . . 707--732

SIAM Journal on Numerical Analysis
Volume 17, Number 6, December, 1980

              R. B. Kellogg and   
               G. R. Shubin and   
                 A. B. Stephens   Uniqueness and the Cell Reynolds Number  733--739
                    Alan George   An automatic one-way dissection
                                  algorithm for irregular finite element
                                  problems . . . . . . . . . . . . . . . . 740--751
                 Lois Mansfield   On the Solution of Nonlinear Finite
                                  Element Systems  . . . . . . . . . . . . 752--765
           Werner C. Rheinboldt   On a Theory of Mesh-Refinement Processes 766--778
                  G. J. Fix and   
               R. A. Nicolaides   An analysis of mixed finite element
                                  approximations for periodic acoustic
                                  wave propagation . . . . . . . . . . . . 779--786
                R. S. Varga and   
                 E. B. Saff and   
                    V. Mehrmann   Incomplete factorizations of matrices
                                  and connections with ${H}$-matrices  . . 787--793
              I. K. Abu-Shumays   Resolution of Singularities of the
                                  Diamond Difference Approximation . . . . 794--805
                 R. E. Bank and   
                     D. J. Rose   Parameter selection for Newton-like
                                  methods applicable to nonlinear partial
                                  differential equations . . . . . . . . . 806--822
          Seymour V. Parter and   
             Michael Steuerwalt   On ${K}$-Line and ${K} \times {K}$ Block
                                  Iterative Schemes for a Problem Arising
                                  in Three-Dimensional Elliptic Difference
                                  Equations  . . . . . . . . . . . . . . . 823--839
                 C. A. Hall and   
                T. A. Porsching   Padé approximants, fractional step
                                  methods and Navier--Stokes
                                  discretizations  . . . . . . . . . . . . 840--851
           Louis A. Hageman and   
            Franklin T. Luk and   
                 David M. Young   On the Equivalence of Certain Iterative
                                  Acceleration Methods . . . . . . . . . . 852--873
               R. B. Barrar and   
                     H. L. Loeb   Fundamental theorem of algebra for
                                  monosplines and related results  . . . . 874--882
              Gene H. Golub and   
            Charles F. Van Loan   An Analysis of the Total Least Squares
                                  Problem  . . . . . . . . . . . . . . . . 883--893
                   Carl de Boor   Dichotomies for Band Matrices  . . . . . 894--907
                  A. Weiser and   
            S. C. Eisenstat and   
                  M. H. Schultz   On Solving Elliptic Equations to
                                  Moderate Accuracy  . . . . . . . . . . . 908--929


SIAM Journal on Numerical Analysis
Volume 18, Number 1, February, 1981

                  Arieh Iserles   Rational Interpolation to $\exp (-x)$
                                  with Application to Certain Stiff
                                  Systems  . . . . . . . . . . . . . . . . 1--12
               David S. Watkins   Determining Initial Values for Stiff
                                  Systems of Ordinary Differential
                                  Equations  . . . . . . . . . . . . . . . 13--20
                     J. R. Cash   Second Derivative Extended Backward
                                  Differentiation Formulas for the
                                  Numerical Integration of Stiff Systems   21--36
                  J. C. Butcher   Stability Properties for a General Class
                                  of Methods for Ordinary Differential
                                  Equations  . . . . . . . . . . . . . . . 37--44
              M. van Veldhuizen   ${D}$-Stability  . . . . . . . . . . . . 45--64
                   G. J. Cooper   Error Estimates for General Linear
                                  Methods for Ordinary Differential
                                  Equations  . . . . . . . . . . . . . . . 65--82
                  J. D. Lambert   Safe Point Methods for Separably Stiff
                                  Systems of Ordinary Differential
                                  Equations  . . . . . . . . . . . . . . . 83--101
                 David S. Scott   Solving sparse symmetric generalized
                                  eigenvalue problems without
                                  factorization  . . . . . . . . . . . . . 102--110
            Nabil R. Nassif and   
                   Fabrice Pini   Semi-Discrete and Fully Discrete
                                  Finite-Element Methods with Penalty for
                                  the Numerical Solution of the
                                  Waterhammer Problem  . . . . . . . . . . 111--128
                  Stanley Osher   Nonlinear singular perturbation problems
                                  and one-sided difference schemes . . . . 129--144
           Andreas Griewank and   
                  M. R. Osborne   Newton's method for singular problems
                                  when the dimension of the null space is
                                  $>1$  . . . . . . . . . . . . . . . . . . 145--149
                Gunter H. Meyer   The method of lines and invariant
                                  imbedding for elliptic and parabolic
                                  free boundary problems . . . . . . . . . 150--164
                Gunter H. Meyer   An analysis of the method of lines for
                                  the Reynolds equation in hydrodynamic
                                  lubrication  . . . . . . . . . . . . . . 165--177

SIAM Journal on Numerical Analysis
Volume 18, Number 2, April, 1981

              Bertil Gustafsson   The convergence rate for difference
                                  approximations to general mixed
                                  initial-boundary value problems  . . . . 179--190
           Paul N. Swarztrauber   The approximation of vector functions
                                  and their derivatives on the sphere  . . 191--210
                      John Gary   The multigrid iteration applied to the
                                  collocation method . . . . . . . . . . . 211--224
           H. Turner Laquer and   
                Burton Wendroff   Bounds for the Model Quench Front  . . . 225--241
              G. I. Marchuk and   
                 V. I. Agoshkov   Kinetic Equations and Variational
                                  Principles . . . . . . . . . . . . . . . 242--261
              Barbro Kreiss and   
              Heinz-Otto Kreiss   Numerical Methods for Singular
                                  Perturbation Problems  . . . . . . . . . 262--276
            Eugene Isaacson and   
                    Gideon Zwas   Mountain Winds Revisited . . . . . . . . 277--288
              Amiram Harten and   
                   Peter D. Lax   A random choice finite difference scheme
                                  for hyperbolic conservation laws . . . . 289--315
               Roger B. Lazarus   Self-similar solutions for converging
                                  shocks and collapsing cavities . . . . . 316--371
                 Milton E. Rose   A ``unified'' numerical treatment of the
                                  wave equation and the Cauchy--Riemann
                                  equations  . . . . . . . . . . . . . . . 372--376

SIAM Journal on Numerical Analysis
Volume 18, Number 3, June, 1981

                Donald R. Smith   On boundary layer approximations in the
                                  numerical solution of certain stiff
                                  boundary value problems  . . . . . . . . 377--380
               J. P. Butler and   
                J. A. Reeds and   
                   S. V. Dawson   Estimating solutions of first kind
                                  integral equations with nonnegative
                                  constraints and optimal smoothing  . . . 381--397
                C. C. Paige and   
                 M. A. Saunders   Towards a Generalized Singular Value
                                  Decomposition  . . . . . . . . . . . . . 398--405
     Hans-Jürgen Reinhardt   \em A Posteriori Error Estimates for the
                                  Finite Element Solution of a Singularly
                                  Perturbed Linear Ordinary Differential
                                  Equation . . . . . . . . . . . . . . . . 406--430
                  Gershon Kedem   A posteriori error bounds for two-point
                                  boundary value problems  . . . . . . . . 431--448
                Robert D. Skeel   Effect of equilibration on residual size
                                  for partial pivoting . . . . . . . . . . 449--454
               Linda R. Petzold   An efficient numerical method for highly
                                  oscillatory ordinary differential
                                  equations  . . . . . . . . . . . . . . . 455--479
                  Arieh Iserles   On Multivalued Exponential
                                  Approximations . . . . . . . . . . . . . 480--499
               Asen L. Dontchev   Error estimates for a discrete
                                  approximation to constrained control
                                  problems . . . . . . . . . . . . . . . . 500--514
               I. Babu\vska and   
         B. A. Szabò and   
                     I. N. Katz   The $p$-Version of the Finite Element
                                  Method . . . . . . . . . . . . . . . . . 515--545
           Robert Schreiber and   
           Stanley C. Eisenstat   Finite element methods for spherically
                                  symmetric elliptic equations . . . . . . 546--558
              J. P. Milaszewicz   On Criticality and the Stein--Rosenberg
                                  Theorem  . . . . . . . . . . . . . . . . 559--564
              Ivo Babu\vska and   
           Werner C. Rheinboldt   \em A Posteriori Error Analysis of
                                  Finite Element Solutions for
                                  One-Dimensional Problems . . . . . . . . 565--589

SIAM Journal on Numerical Analysis
Volume 18, Number 4, August, 1981

      Nikolaos M. Missirlis and   
                 David J. Evans   On the convergence of some generalized
                                  preconditioned iterative methods . . . . 591--596
                     A. Dax and   
                      S. Kaniel   The ELR method for computing the
                                  eigenvalues of a general matrix  . . . . 597--605
              O. L. Mangasarian   Iterative Solution of Linear Programs    606--614
           Zdzis\law Jackiewicz   The Numerical Solution of Volterra
                                  Functional Differential Equations of
                                  Neutral Type . . . . . . . . . . . . . . 615--626
                 Linda J. Hayes   Galerkin alternating-direction methods
                                  for nonrectangular regions using patch
                                  approximations . . . . . . . . . . . . . 627--643
               Mark J. Friedman   Mathematical study of the nonlinear
                                  singular integral magnetic field
                                  equation. II . . . . . . . . . . . . . . 644--653
                   David M. Gay   Perturbation Bounds for Nonlinear
                                  Equations  . . . . . . . . . . . . . . . 654--663
                 D. L. Clements   A boundary integral procedure for the
                                  numerical solution of a class of mixed
                                  boundary value problems  . . . . . . . . 664--680
                   W. Hackbusch   Optimal ${H}^{p,\,p/2}$ error estimates
                                  for a parabolic Galerkin method  . . . . 681--692
                 Wolfgang Bunse   A class of diagonal transformation
                                  methods for the computation of the
                                  spectral radius of a nonnegative
                                  irreducible matrix . . . . . . . . . . . 693--704
               Pavol Sermer and   
                  Rudolf Mathon   Least-Squares Methods for Mixed-Type
                                  Equations  . . . . . . . . . . . . . . . 705--723
               Randolph E. Bank   A comparison of two multilevel iterative
                                  methods for nonsymmetric and indefinite
                                  elliptic finite element equations  . . . 724--743
                 George J. Miel   Evaluation of complex logarithms and
                                  related functions  . . . . . . . . . . . 744--750
                    W. W. Symes   Erratum: ``Numerical Stability in an
                                  Inverse Scattering Problem'' [SIAM J.
                                  Numer. Anal. \bf 17 (1980), no. 5,
                                  707--732, MR 81k:65135]  . . . . . . . . 751--752

SIAM Journal on Numerical Analysis
Volume 18, Number 5, October, 1981

             Reinhard Frank and   
              Josef Schneid and   
        Christoph W. Ueberhuber   The Concept of $B$-Convergence . . . . . 753--780
                 Linda J. Hayes   A modified backward time discretization
                                  for nonlinear parabolic equations using
                                  patch approximations . . . . . . . . . . 781--793
               David S. Watkins   Efficient initialization of stiff
                                  systems with one unknown initial
                                  condition  . . . . . . . . . . . . . . . 794--800
               Peter Wildenauer   Construction of domains with all
                                  solutions, and the existence of extreme
                                  solutions  . . . . . . . . . . . . . . . 801--807
                     J. R. Cash   On the exponential fitting of composite,
                                  multiderivative linear multistep methods 808--821
              Herbert B. Keller   Geometrically isolated nonisolated
                                  solutions and their approximation  . . . 822--838
               Peter B. Geltner   General Rayleigh Quotient Iteration  . . 839--843
                   K. O. Geddes   Block Structure in the Chebyshev--Padé
                                  Table  . . . . . . . . . . . . . . . . . 844--861
                 G. Alefeld and   
                    J. G. Rokne   On the evaluation of rational functions
                                  in interval arithmetic . . . . . . . . . 862--870
            P. Van Der Cruyssen   Stable Evaluation of Generalized
                                  Continued Fractions  . . . . . . . . . . 871--881
          Richard R. Gerber and   
                Franklin T. Luk   A generalized Broyden's method for
                                  solving simultaneous linear equations    882--890
                 A. Kroó   Error estimations for deviation of best
                                  uniform, discrete and
                                  ${L}_{q}$-approximations . . . . . . . . 891--896
                    A. K. Varma   An interpolatory rational trigonometric
                                  approximation  . . . . . . . . . . . . . 897--899
               David W. Kammler   Differential approximation of completely
                                  monotonic functions  . . . . . . . . . . 900--918
               S. K. Burley and   
                 S. O. John and   
                     J. Nuttall   Vector Orthogonal Polynomials  . . . . . 919--924
              C. den Heijer and   
               W. C. Rheinboldt   On Steplength Algorithms for a Class of
                                  Continuation Methods . . . . . . . . . . 925--948

SIAM Journal on Numerical Analysis
Volume 18, Number 6, December, 1981

          J. E. Dennis, Jr. and   
                Homer F. Walker   Convergence Theorems for Least-Change
                                  Secant Update Methods  . . . . . . . . . 949--987
                 Karl L. Nickel   A Globally Convergent Ball Newton Method 988--1003
               Leslie V. Foster   Generalizations of Laguerre's method:
                                  higher order methods . . . . . . . . . . 1004--1018
               Keith Miller and   
               Robert N. Miller   Moving Finite Elements. I  . . . . . . . 1019--1032
                   Keith Miller   Moving Finite Elements. II . . . . . . . 1033--1057
                  F. Kappel and   
                     K. Kunisch   Spline approximations for neutral
                                  functional-differential equations  . . . 1058--1080
           P. J. van der Houwen   Modified Nyström methods for semidiscrete
                                  hyperbolic differential equations  . . . 1081--1097
                  E. Hairer and   
                      G. Wanner   Algebraically Stable and Implementable
                                  Runge--Kutta Methods of High Order . . . 1098--1108
             Bernd Güsmann   Bounds of Galerkin Projections on
                                  Splines with Highly Nonuniform Meshes    1109--1119
               N. I. Ioakimidis   On the weighted Galerkin method of
                                  numerical solution of Cauchy type
                                  singular integral equations  . . . . . . 1120--1127
                  Jean Descloux   Essential numerical range of an operator
                                  with respect to a coercive form and the
                                  approximation of its spectrum by the
                                  Galerkin method  . . . . . . . . . . . . 1128--1133
                Corrado Corradi   A note on the solution of separable
                                  nonlinear least-squares problems with
                                  separable nonlinear equality constraints 1134--1138
      Noël de Villiers and   
                  David Glasser   A Continuation Method for Nonlinear
                                  Regression . . . . . . . . . . . . . . . 1139--1154


SIAM Journal on Numerical Analysis
Volume 19, Number 1, February, 1982

           Richard E. Ewing and   
              Thomas F. Russell   Efficient time-stepping methods for
                                  miscible displacement problems in porous
                                  media  . . . . . . . . . . . . . . . . . 1--67
                Peter H. Sammon   Convergence estimates for semidiscrete
                                  parabolic equation approximations  . . . 68--92
            Mitchell Luskin and   
                 Rolf Rannacher   On the smoothing property of the
                                  Galerkin method for parabolic equations  93--113
              James F. Epperson   An Error Estimate for Changing the
                                  Stefan Problem . . . . . . . . . . . . . 114--120
                  J. R. Kuttler   Bounds for Stekloff Eigenvalues  . . . . 121--125
                D. Isaacson and   
             E. L. Isaacson and   
               D. Marchesin and   
                P. J. Paes-Leme   Numerical Analysis of the Spectral
                                  Properties of Coupled Oscillator
                                  Schrödinger Operators. II. Two-Coupled
                                  Anharmonic Oscillators . . . . . . . . . 126--141
              Joseph E. Pasciak   Spectral methods for a nonlinear initial
                                  value problem involving
                                  pseudodifferential operators . . . . . . 142--154
                   J. G. Verwer   An analysis of Rosenbrock methods for
                                  nonlinear stiff initial value problems   155--170
                Robert D. Skeel   A theoretical framework for proving
                                  accuracy results for deferred
                                  corrections  . . . . . . . . . . . . . . 171--196
                     A. Wassyng   Solving $Ax = b$: A Method with Reduced
                                  Storage Requirements . . . . . . . . . . 197--204
                    R. Amit and   
                        C. Hall   Storage requirements for profile and
                                  frontal elimination  . . . . . . . . . . 205--218
               D. W. Decker and   
                   C. T. Kelley   Convergence acceleration for Newton's
                                  method at singular points  . . . . . . . 219--229

SIAM Journal on Numerical Analysis
Volume 19, Number 2, April, 1982

                    T. J. Mahar   Discrete Conservative Oscillators:
                                  Periodic and Asymptotically Periodic
                                  Solutions  . . . . . . . . . . . . . . . 231--236
                    T. J. Mahar   Discrete Almost-Linear Oscillators . . . 237--244
                  Kevin Burrage   Efficiently Implementable Algebraically
                                  Stable Runge--Kutta Methods  . . . . . . 245--258
             Robert B. Feinberg   ${A}_{0}$-stable formulas of Adams type  259--262
                 K. E. Atkinson   The numerical solution of Laplace's
                                  equation in three dimensions . . . . . . 263--274
            John G. Heywood and   
                 Rolf Rannacher   Finite element approximation of the
                                  nonstationary Navier--Stokes problem. I.
                                  Regularity of solutions and second-order
                                  error estimates for spatial
                                  discretization . . . . . . . . . . . . . 275--311
                 V. Girault and   
                  P.-A. Raviart   An analysis of upwind schemes for the
                                  Navier--Stokes equations . . . . . . . . 312--333
           Edward W. Larsen and   
                    Paul Nelson   Finite-difference approximations and
                                  superconvergence for the
                                  discrete-ordinate equations in slab
                                  geometry . . . . . . . . . . . . . . . . 334--348
               R. A. Nicolaides   Existence, uniqueness and approximation
                                  for generalized saddle point problems    349--357
        Martin H. Gutknecht and   
             Lloyd N. Trefethen   Real polynomial Chebyshev approximation
                                  by the Carathéodory--Fejér method  . . . . 358--371
                  R. K. Beatson   Restricted range approximation by
                                  splines and variational inequalities . . 372--380
                  Zahari Zlatev   Use of iterative refinement in the
                                  solution of sparse linear systems  . . . 381--399
               Ron S. Dembo and   
       Stanley C. Eisenstat and   
                 Trond Steihaug   Inexact Newton Methods . . . . . . . . . 400--408
                 D. C. Sorensen   Newton's method with a model trust
                                  region modification  . . . . . . . . . . 409--426
               Ian H. Sloan and   
               William E. Smith   Properties of interpolatory product
                                  integration rules  . . . . . . . . . . . 427--442
          J. E. Dennis, Jr. and   
                Homer F. Walker   Erratum: ``Convergence Theorems for
                                  Least-Change Secant Update Methods''
                                  [SIAM J. Numer. Anal. \bf 18 (1981), no.
                                  6, 949--987] . . . . . . . . . . . . . . 443--443

SIAM Journal on Numerical Analysis
Volume 19, Number 3, June, 1982

             Chandler Davis and   
                W. M. Kahan and   
               H. F. Weinberger   Norm-preserving dilations and their
                                  applications to optimal error bounds . . 445--469
                   W. Kahan and   
              B. N. Parlett and   
                       E. Jiang   Residual bounds on approximate
                                  eigensystems of nonnormal matrices . . . 470--484
                        Y. Saad   The Lanczos biorthogonalization
                                  algorithm and other oblique projection
                                  methods for solving large unsymmetric
                                  systems  . . . . . . . . . . . . . . . . 485--506
                     N. Dyn and   
              G. G. Lorentz and   
          S. D. Riemenschneider   Continuity of the Birkhoff Interpolation 507--509
                 Hakop Hakopian   Multivariate spline functions,
                                  ${B}$-spline basis and polynomial
                                  interpolations . . . . . . . . . . . . . 510--517
              Seymour V. Parter   On the eigenvalues of second order
                                  elliptic difference operators  . . . . . 518--530
            I. N. Molchanov and   
                  \=E. F. Galba   Difference methods for elliptic partial
                                  differential equations with nonunique
                                  solutions  . . . . . . . . . . . . . . . 531--547
                S. F. McCormick   An Algebraic Interpretation of Multigrid
                                  Methods  . . . . . . . . . . . . . . . . 548--560
                 Ragnar Winther   A finite element method for a version of
                                  the Boussinesq equation  . . . . . . . . 561--570
                  Miente Bakker   Galerkin methods for even-order
                                  parabolic equations in one space
                                  variable . . . . . . . . . . . . . . . . 571--587
                D. J. Evans and   
                      A. Danaee   A new group hopscotch method for the
                                  numerical solution of partial
                                  differential equations . . . . . . . . . 588--598
              Mingyou Huang and   
                   Vidar Thomee   On the Backward Euler Method for
                                  Parabolic Equations with Rough Initial
                                  Data . . . . . . . . . . . . . . . . . . 599--603
                W. Rümelin   Numerical treatment of stochastic
                                  differential equations . . . . . . . . . 604--613
                  David Slepian   Solution of certain integral equations
                                  with difference kernels  . . . . . . . . 614--622
            Kevin R. Hickey and   
                Glenn R. Luecke   Remarks on Marti's method for solving
                                  first kind equations [SIAM J. Numer.
                                  Anal. \bf 15 (1978), no. 6, 1071--1076,
                                  by J. T. Marti]  . . . . . . . . . . . . 623--628
                  C. Canuto and   
                  A. Quarteroni   Error estimates for spectral and
                                  pseudospectral approximations of
                                  hyperbolic equations . . . . . . . . . . 629--642
            Michael Prüfer   A Combinatorial Algorithm Providing
                                  Alternating Approximations for a Zero of
                                  an ${M}$-Function  . . . . . . . . . . . 643--652
           Werner C. Rheinboldt   Computation of critical boundaries on
                                  equilibrium manifolds  . . . . . . . . . 653--669

SIAM Journal on Numerical Analysis
Volume 19, Number 4, August, 1982

             David Gottlieb and   
             Max Gunzburger and   
                     Eli Turkel   On numerical boundary treatment of
                                  hyperbolic systems for finite difference
                                  and finite element methods . . . . . . . 671--682
           Andrew B. White, Jr.   On the Numerical Solution of
                                  Initial/Boundary-Value Problems in One
                                  Space Dimension  . . . . . . . . . . . . 683--697
         Richard B. Philips and   
                 Milton E. Rose   Compact finite difference schemes for
                                  mixed initial-boundary value problems    698--720
                 Robert S. Fisk   On an oscillation phenomenon in the
                                  numerical solution of the
                                  diffusion-convection equation  . . . . . 721--724
      Marie-Noëlle Le Roux   Variable step size multistep methods for
                                  parabolic problems . . . . . . . . . . . 725--741
              Douglas N. Arnold   An interior penalty finite element
                                  method with discontinuous elements . . . 742--760
                   Y. Maday and   
                  A. Quarteroni   Spectral and Pseudo-Spectral
                                  Approximations of the Navier--Stokes
                                  Equations  . . . . . . . . . . . . . . . 761--780
                 Patricio Basso   Iterative methods for the localization
                                  of the global maximum  . . . . . . . . . 781--792
                   Kazuo Murota   Global convergence of a modified Newton
                                  iteration for algebraic equations  . . . 793--799
              Francesco Zirilli   The solution of nonlinear systems of
                                  equations by second order systems of
                                  O.D.E. and linearly implicit
                                  ${A}$-stable techniques  . . . . . . . . 800--815
                  David Elliott   The classical collocation method for
                                  singular integral equations  . . . . . . 816--832
               T. A. Manteuffel   Optimal parameters for linear
                                  second-degree stationary iterative
                                  methods  . . . . . . . . . . . . . . . . 833--839
             J. P. Delahaye and   
               B. Germain-Bonne   The set of logarithmically convergent
                                  sequences cannot be accelerated  . . . . 840--844
                R. E. Moore and   
                          L. Qi   A Successive Interval Test for Nonlinear
                                  Systems  . . . . . . . . . . . . . . . . 845--850
                          L. Qi   A Note on the Moore Test for Nonlinear
                                  Systems  . . . . . . . . . . . . . . . . 851--857
                   David M. Gay   Solving Interval Linear Equations  . . . 858--870

SIAM Journal on Numerical Analysis
Volume 19, Number 5, October, 1982

           Jim Douglas, Jr. and   
              Thomas F. Russell   Numerical Methods for
                                  Convection-Dominated Diffusion Problems
                                  Based on Combining the Method of
                                  Characteristics with Finite Element or
                                  Finite Difference Procedures . . . . . . 871--885
               Randolph E. Bank   Analysis of a Multilevel Inverse
                                  Iteration Procedure for Eigenvalue
                                  Problems . . . . . . . . . . . . . . . . 886--898
                 A. K. Aziz and   
                 M. R. Dorr and   
                  R. B. Kellogg   A new approximation method for the
                                  Helmholtz equation in an exterior domain 899--908
         Ohannes A. Karakashian   On a Galerkin--Lagrange multiplier
                                  method for the stationary Navier--Stokes
                                  equations  . . . . . . . . . . . . . . . 909--923
            S. F. McCormick and   
                     J. W. Ruge   Multigrid Methods for Variational
                                  Problems . . . . . . . . . . . . . . . . 924--929
            Theodore R. Hatcher   An error bound for certain successive
                                  overrelaxation schemes . . . . . . . . . 930--941
          Herbert B. Keller and   
              Marianela Lentini   Invariant imbedding, the box scheme and
                                  an equivalence between them  . . . . . . 942--962
              R. M. M. Mattheij   The Conditioning of Linear Boundary
                                  Value Problems . . . . . . . . . . . . . 963--978
           Leif Abrahamsson and   
                  Stanley Osher   Monotone difference schemes for singular
                                  perturbation problems  . . . . . . . . . 979--992
         Wolfgang A. Dahmen and   
           Charles A. Micchelli   On the linear independence of
                                  multivariate ${B}$-splines. I.
                                  Triangulations of simploids  . . . . . . 993--1012
              Klaus Höllig   Multivariate Splines . . . . . . . . . . 1013--1031
                   J. I. Maeztu   Divided Differences Associated with
                                  Reversible Systems in $\mathbb{R}^2$ . . 1032--1040
               J. P. Thiran and   
                      P. Defert   Weak minimal ${H}$-sets for polynomials
                                  in two variables . . . . . . . . . . . . 1041--1050
                Thomas R. Lucas   Asymptotic expansions for interpolating
                                  periodic splines . . . . . . . . . . . . 1051--1066
          Arnold Schönhage   Rational Approximation to $e^{-x}$ and
                                  Related $\mathscr{L}^2$-Problems . . . . 1067--1080
                    Kurt Jetter   A new class of Gaussian quadrature
                                  formulas based on Birkhoff type data . . 1081--1089
               Roger B. Lazarus   Erratum: ``Self-Similar Solutions for
                                  Converging Shocks and Collapsing
                                  Cavities'' [SIAM J. Numer. Anal. \bf 18
                                  (1981), no. 2, 316--371, MR 82i:76054]   1090--1090

SIAM Journal on Numerical Analysis
Volume 19, Number 6, December, 1982

             Randall J. Leveque   Large time step shock-capturing
                                  techniques for scalar conservation laws  1091--1109
             Ronald H. W. Hoppe   Discrete approximations of cosine
                                  operator functions. I  . . . . . . . . . 1110--1128
                    R. E. White   An Enthalpy Formulation of the Stefan
                                  Problem  . . . . . . . . . . . . . . . . 1129--1157
                    R. E. White   A numerical solution of the enthalpy
                                  formulation of the Stefan problem  . . . 1158--1172
          Seymour V. Parter and   
             Michael Steuerwalt   Block iterative methods for elliptic and
                                  parabolic difference equations . . . . . 1173--1195
             Christine Bernardi   Numerical approximation of a periodic
                                  linear parabolic problem . . . . . . . . 1196--1207
              Jean Descloux and   
                Mitchell Luskin   On a finite element method to solve the
                                  criticality eigenvalue problem for the
                                  transport equation . . . . . . . . . . . 1208--1219
                     J. R. Cash   On the Solution of Block Tridiagonal
                                  Systems of Linear Algebraic Equations
                                  having a Special Structure . . . . . . . 1220--1232
                   M. R. Li and   
               B. Nour-Omid and   
                  B. N. Parlett   A fast solver free of fill-in for finite
                                  element problems . . . . . . . . . . . . 1233--1242
             Ahmed H. Sameh and   
             John A. Wisniewski   A trace minimization algorithm for the
                                  generalized eigenvalue problem . . . . . 1243--1259
               Michael G. Duffy   Quadrature over a pyramid or cube of
                                  integrands with a singularity at a
                                  vertex . . . . . . . . . . . . . . . . . 1260--1262
                J. Barzilai and   
                     A. Ben-Tal   Nonpolynomial and inverse interpolation
                                  for line search: synthesis and
                                  convergence rates  . . . . . . . . . . . 1263--1277
                  R. K. Beatson   Monotone and convex approximation by
                                  splines: error estimates and a curve
                                  fitting algorithm  . . . . . . . . . . . 1278--1285
                   Paul Dierckx   A fast algorithm for smoothing data on a
                                  rectangular grid while using spline
                                  functions  . . . . . . . . . . . . . . . 1286--1304


SIAM Journal on Numerical Analysis
Volume 20, Number 1, February, 1983

                   P. Deift and   
                   T. Nanda and   
                       C. Tomei   Ordinary differential equations and the
                                  symmetric eigenvalue problem . . . . . . 1--22
             J. J. Dongarra and   
                C. B. Moler and   
                J. H. Wilkinson   Improving the Accuracy of Computed
                                  Eigenvalues and Eigenvectors . . . . . . 23--45
          Bertil Gustafsson and   
              Heinz-Otto Kreiss   Difference approximations of hyperbolic
                                  problems with different time scales. I.
                                  The reduced problem  . . . . . . . . . . 46--58
         Petter Bjòrstad   Fast Numerical Solution of the
                                  Biharmonic Dirichlet Problem on
                                  Rectangles . . . . . . . . . . . . . . . 59--71
                  Murray Cantor   Numerical Treatment of Potential Type
                                  Equations on $\mathbb{R}^n$: Theoretical
                                  Considerations . . . . . . . . . . . . . 72--85
                      Zi Cai Li   On the reduced rate of convergence for a
                                  nonconforming combined method  . . . . . 86--93
                  Beny Neta and   
             H. D. Victory, Jr.   A new fourth-order finite-difference
                                  method for solving discrete-ordinates
                                  slab transport equations . . . . . . . . 94--105
             Ira Bruce Schwartz   Estimating regions of existence of
                                  unstable periodic orbits using
                                  computer-based techniques  . . . . . . . 106--120
                  U. Ascher and   
                  S. Pruess and   
                  R. D. Russell   On spline basis selection for solving
                                  differential equations . . . . . . . . . 121--142
                   S. McKee and   
                      A. Stokes   Product integration methods for the
                                  nonlinear Basset equation  . . . . . . . 143--160
              William J. Layton   Galerkin methods for two-point boundary
                                  value problems for first order systems   161--171
                K. Atkinson and   
                  I. Graham and   
                       I. Sloan   Piecewise continuous collocation for
                                  integral equations . . . . . . . . . . . 172--186
          Thomas F. Coleman and   
           Jorge J. Moré   Estimation of sparse Jacobian matrices
                                  and graph coloring problems  . . . . . . 187--209
                 G. Alefeld and   
              L. Platzöder   A Quadratically Convergent Krawczyk-Like
                                  Algorithm  . . . . . . . . . . . . . . . 210--219

SIAM Journal on Numerical Analysis
Volume 20, Number 2, April, 1983

              William J. Layton   Stable Galerkin Methods for Hyperbolic
                                  Systems  . . . . . . . . . . . . . . . . 221--233
                 Rainer Janssen   A Generalization of Buchanan's Stability
                                  Criterion  . . . . . . . . . . . . . . . 234--238
               Tony F. Chan and   
         Kenneth R. Jackson and   
                    Ben Ren Zhu   Alternating-Direction Incomplete
                                  Factorizations . . . . . . . . . . . . . 239--257
           H. I. El-Zorkany and   
             R. Balasubramanian   An Extension of the Alternating
                                  Direction Galerkin Method to More
                                  General Geometries . . . . . . . . . . . 258--278
             Mitchell D. Smooke   Error estimates for piecewise
                                  perturbation series solutions of the
                                  radial Schrödinger equation . . . . . . . 279--295
               D. W. Decker and   
               H. B. Keller and   
                   C. T. Kelley   Convergence rates for Newton's method at
                                  singular points  . . . . . . . . . . . . 296--314
          George W. Johnson and   
              Nieves H. Austria   A quasi-Newton method employing direct
                                  secant updates of matrix factorizations  315--325
                Alan George and   
                      Esmond Ng   On row and column orderings for sparse
                                  least squares problems . . . . . . . . . 326--344
       Stanley C. Eisenstat and   
            Howard C. Elman and   
              Martin H. Schultz   Variational Iterative Methods for
                                  Nonsymmetric Systems of Linear Equations 345--357
           Stanley C. Eisenstat   A Note on the Generalized Conjugate
                                  Gradient Method  . . . . . . . . . . . . 358--361
            Olin G. Johnson and   
       Charles A. Micchelli and   
                    George Paul   Polynomial preconditioners for conjugate
                                  gradient calculations  . . . . . . . . . 362--376
                   Nira Dyn and   
                    David Levin   Iterative solution of systems
                                  originating from integral equations and
                                  surface interpolation  . . . . . . . . . 377--390
                William F. Moss   The two-dimensional oscillating airfoil:
                                  a new implementation of the Galerkin
                                  method . . . . . . . . . . . . . . . . . 391--399
                 Avram Sidi and   
              Doron S. Lubinsky   On the zeros of some polynomials that
                                  arise in numerical quadrature and
                                  convergence acceleration . . . . . . . . 400--405
              Patrick Keast and   
           Julio C. Díaz   Fully symmetric integration formulas for
                                  the surface of the sphere in ${S}$
                                  dimensions . . . . . . . . . . . . . . . 406--419
         Lloyd N. Trefethen and   
            Martin H. Gutknecht   The Carathéodory--Fejér method for real
                                  rational approximation . . . . . . . . . 420--436

SIAM Journal on Numerical Analysis
Volume 20, Number 3, June, 1983

                   Peter Sammon   Fully discrete approximation methods for
                                  parabolic problems with nonsmooth
                                  initial data . . . . . . . . . . . . . . 437--470
                   Pavol Sermer   A Galerkin method for
                                  elliptic-hyperbolic type equations . . . 471--484
              P. Ladev\`eze and   
                   D. Leguillon   Error estimate procedure in the finite
                                  element method and applications  . . . . 485--509
               I. Babu\vska and   
                   J. E. Osborn   Generalized finite element methods:
                                  their performance and their relation to
                                  mixed methods  . . . . . . . . . . . . . 510--536
                  U. Ascher and   
                       R. Weiss   Collocation for singular perturbation
                                  problems. I. First order systems with
                                  constant coefficients  . . . . . . . . . 537--557
                     M. K. Horn   Fourth- and fifth-order, scaled
                                  Runge--Kutta algorithms for treating
                                  dense output . . . . . . . . . . . . . . 558--568
                  E. Hairer and   
                 Ch. Lubich and   
           S. P. Nòrsett   Order of convergence of one-step methods
                                  for Volterra integral equations of the
                                  second kind  . . . . . . . . . . . . . . 569--579
                 A. C. Genz and   
                    A. A. Malik   An imbedded family of fully symmetric
                                  numerical integration rules  . . . . . . 580--588
                 Avram Sidi and   
                    David Levin   Prediction Properties of the
                                  $t$-Transformation . . . . . . . . . . . 589--598
                   James Demmel   The condition number of equivalence
                                  transformations that block diagonalize
                                  matrix pencils . . . . . . . . . . . . . 599--610
                   Ji Guang Sun   Perturbation analysis for the
                                  generalized singular value problem . . . 611--625
                 Trond Steihaug   The conjugate gradient method and trust
                                  regions in large scale optimization  . . 626--637
                   David M. Gay   Computing Perturbation Bounds for
                                  Nonlinear Algebraic Equations  . . . . . 638--651

SIAM Journal on Numerical Analysis
Volume 20, Number 4, August, 1983

                 K. P. Bube and   
               J. C. Strikwerda   Interior regularity estimates for
                                  elliptic systems of difference equations 653--670
                       M. Dryja   A finite element - capacitance matrix
                                  method for the elliptic problem  . . . . 671--680
               Jim Douglas, Jr.   Finite difference methods for two-phase
                                  incompressible flow in porous media  . . 681--696
             Karl Gustafson and   
                 Robert Hartman   Divergence-free bases for finite element
                                  schemes in hydrodynamics . . . . . . . . 697--721
               J. M. Boland and   
               R. A. Nicolaides   Stability of finite elements under
                                  divergence constraints . . . . . . . . . 722--731
              James P. Fink and   
           Werner C. Rheinboldt   On the discretization error of
                                  parametrized nonlinear equations . . . . 732--746
                A. Griewank and   
                  M. R. Osborne   Analysis of Newton's method at irregular
                                  singularities  . . . . . . . . . . . . . 747--773
           N. Gaïtanos and   
              A. Hadjidimos and   
                      A. Yeyios   Optimum accelerated overrelaxation (AOR)
                                  method for systems with positive
                                  definite coefficient matrix  . . . . . . 774--783
                    Youcef Saad   Iterative solution of indefinite
                                  symmetric linear systems by methods
                                  using orthogonal polynomials over two
                                  disjoint intervals . . . . . . . . . . . 784--811
                  John D. Dixon   Estimating extremal eigenvalues and
                                  condition numbers of matrices  . . . . . 812--814
                   J. F. Andrus   Automatic Integration of Systems of
                                  Second-Order ODE's Separated into
                                  Subsystems . . . . . . . . . . . . . . . 815--827
                   J. F. Andrus   Convergence and accuracy properties of
                                  the method of quasilinearization . . . . 828--839
                R. D. Skeel and   
                  L. W. Jackson   The stability of variable-stepsize
                                  Nordsieck methods  . . . . . . . . . . . 840--853
             Larry L. Schumaker   On Shape Preserving Quadratic Spline
                                  Interpolation  . . . . . . . . . . . . . 854--864
                   Tien-Yien Li   On Locating All Zeros of an Analytic
                                  Function within a Bounded Domain by a
                                  Revised Delves/Lyness Method . . . . . . 865--871
                Alan George and   
                      Esmond Ng   Erratum: ``On row and column orderings
                                  for sparse least squares problems''
                                  [SIAM J. Numer. Anal. \bf 20 (1983), no.
                                  2, 326--344] . . . . . . . . . . . . . . 872--872

SIAM Journal on Numerical Analysis
Volume 20, Number 5, October, 1983

             Claudio Canuto and   
              Hiroshi Fujii and   
               Alfio Quarteroni   Approximation of symmetry breaking
                                  bifurcations for the Rayleigh convection
                                  problem  . . . . . . . . . . . . . . . . 873--884
             A. B. Stephens and   
                   G. R. Shubin   Existence and uniqueness for an
                                  exponentially derived switching scheme   885--889
            Peter Markowich and   
                Michael Renardy   The numerical solution of a class of
                                  quasilinear parabolic Volterra equations
                                  arising in polymer rheology  . . . . . . 890--908
             David Gottlieb and   
                  Liviu Lustman   The spectrum of the Chebyshev
                                  collocation operator for the heat
                                  equation . . . . . . . . . . . . . . . . 909--921
     Juhani Pitkäranta and   
               L. Ridgway Scott   Error Estimates for the Combined Spatial
                                  and Angular Approximations of the
                                  Transport Equation for Slab Geometry . . 922--950
              Claes Johnson and   
         Juhani Pitkäranta   Convergence of a fully discrete scheme
                                  for two-dimensional neutron transport    951--966
                  D. Braess and   
                   W. Hackbusch   A new convergence proof for the
                                  multigrid method including the
                                  ${V}$-cycle  . . . . . . . . . . . . . . 967--975
                     S. Z. Zhou   The linear finite element method for a
                                  two-dimensional singular boundary value
                                  problem  . . . . . . . . . . . . . . . . 976--984
        Ricardo G. Durán   On Polynomial Approximation in Sobolev
                                  Spaces . . . . . . . . . . . . . . . . . 985--988
                 S. W. Ellacott   On the Faber transform and efficient
                                  numerical rational approximation . . . . 989--1000
               C. T. Kelley and   
                      R. Suresh   A new acceleration method for Newton's
                                  method at singular points  . . . . . . . 1001--1009
              Herbert Cornelius   On the Acceleration of an
                                  Interval-Arithmetic Iteration Method . . 1010--1022
             Charles W. Schelin   Counting zeros of real polynomials
                                  within the unit disk . . . . . . . . . . 1023--1031
             P. P. B. Eggermont   Collocation for Volterra integral
                                  equations of the first kind with
                                  iterated kernel  . . . . . . . . . . . . 1032--1048
            P. H. M. Wolkenfelt   On the relation between the repetition
                                  factor and numerical stability of direct
                                  quadrature methods for second kind
                                  Volterra integral equations  . . . . . . 1049--1061
           Narendra K. Jain and   
                Kishore Singhal   On Kublanovskaya's approach to the
                                  solution of the generalized latent value
                                  problem for functional
                                  $\lambda$-matrices . . . . . . . . . . . 1062--1070
       Germund G. Dahlquist and   
             Werner Liniger and   
               Olavi Nevanlinna   Stability of two-step methods for
                                  variable integration steps . . . . . . . 1071--1085

SIAM Journal on Numerical Analysis
Volume 20, Number 6, December, 1983

         Mario Ahués and   
      Françoise Chatelin   The Use of Defect Correction to Refine
                                  the Eigenelements of Compact Integral
                                  Operators  . . . . . . . . . . . . . . . 1087--1093
               Catherine Bandle   Solutions of a nonlinear Dirichlet
                                  problem for nearly circular domains  . . 1094--1098
               C. Brezinski and   
             J. P. Delahaye and   
               B. Germain-Bonne   Convergence acceleration by extraction
                                  of linear subsequences . . . . . . . . . 1099--1105
                Hermann Brunner   Nonpolynomial spline collocation for
                                  Volterra equations with weakly singular
                                  kernels  . . . . . . . . . . . . . . . . 1106--1119
              B. C. Carlson and   
                      John Todd   The Degenerating Behavior of Elliptic
                                  Functions  . . . . . . . . . . . . . . . 1120--1129
              Germund Dahlquist   On One-Leg Multistep Methods . . . . . . 1130--1138
                 C. de Boor and   
                 F. de Hoog and   
                H. B. de Keller   The Stability of One-Step Schemes for
                                  First-Order Two-Point Boundary Value
                                  Problems . . . . . . . . . . . . . . . . 1139--1146
              Jean Descloux and   
                 Jacques Rappaz   A Nonlinear Inverse Power Method with
                                  Shift  . . . . . . . . . . . . . . . . . 1147--1152
           Michael Eiermann and   
             Wilhelm Niethammer   On the Construction of Semiterative
                                  Methods  . . . . . . . . . . . . . . . . 1153--1160
               Irene Gargantini   The Use of Linear Quadtrees in a
                                  Numerical Problem  . . . . . . . . . . . 1161--1169
            Walter Gautschi and   
               Richard S. Varga   Error bounds for Gaussian quadrature of
                                  analytic functions . . . . . . . . . . . 1170--1186
                W. B. Gragg and   
                   D. D. Warner   Two Constructive Results in Continued
                                  Fractions  . . . . . . . . . . . . . . . 1187--1197
            Martin H. Gutknecht   On the computation of the conjugate
                                  trigonometric rational function and on a
                                  related splitting problem  . . . . . . . 1198--1205
                  E. Hairer and   
                      G. Wanner   On the Instability of the BDF Formulas   1206--1209
               Rolf Jeltsch and   
               Olavi Nevanlinna   Stability of semidiscretizations of
                                  hyperbolic problems  . . . . . . . . . . 1210--1218
           William B. Jones and   
                W. J. Thron and   
               Haakon Waadeland   Truncation error bounds for continued
                                  fractions ${K}(a_{n}/1)$ with parabolic
                                  element regions  . . . . . . . . . . . . 1219--1230
                 Werner Liniger   The ${A}$-contractive second-order
                                  multistep formulas with variable steps   1231--1238
                    J. T. Marti   Evaluation of the least constant in
                                  Sobolev's inequality for $H^1(0,\,s)$    1239--1242
                  Jean Meinguet   Refined Error Analyses of Cholesky
                                  Factorization  . . . . . . . . . . . . . 1243--1250
             Gilbert Strang and   
                  Arieh Iserles   Barriers to Stability  . . . . . . . . . 1251--1257
             Lloyd N. Trefethen   Circularity of the error curve and
                                  sharpness of the CF method in complex
                                  Chebyshev approximation  . . . . . . . . 1258--1263
            Jörg Waldvogel   The Period in the Volterra--Lotka
                                  Predator-Prey Model  . . . . . . . . . . 1264--1272
                  H. Werner and   
                     L. Wuytack   On the Continuity of the Padé Operator    1273--1280
               Garrett Birkhoff   Salutation to Peter Henrici on his 60th
                                  Birthday: September 13, 1983 . . . . . . ??


SIAM Journal on Numerical Analysis
Volume 21, Number 1, February, 1984

                 Ami Harten and   
                   Peter D. Lax   On a Class of High Resolution
                                  Total-Variation-Stable Finite-Difference
                                  Schemes  . . . . . . . . . . . . . . . . 1--23
            Peter Markowich and   
                Michael Renardy   Lax--Wendroff methods for hyperbolic
                                  history value problems . . . . . . . . . 24--51
               G.-H. Cottet and   
                  P.-A. Raviart   Particle methods for the one-dimensional
                                  Vlasov--Poisson equations  . . . . . . . 52--76
           J. M. Sanz-Serna and   
                        L. Abia   Interpolation of the Coefficients in
                                  Nonlinear Elliptic Galerkin Procedures   77--83
            E. C. Gartland, Jr.   Computable pointwise error bounds and
                                  the Ritz method in one dimension . . . . 84--100
                  Miente Bakker   One-dimensional Galerkin methods and
                                  superconvergence at interior nodal
                                  points . . . . . . . . . . . . . . . . . 101--110
              E. H. Twizell and   
                A. Q. M. Khaliq   Multiderivative methods for periodic
                                  initial value problems . . . . . . . . . 111--122
                  E. Hairer and   
                     Ch. Lubich   On the Stability of
                                  Volterra--Runge--Kutta Methods . . . . . 123--135
                  David Elliott   Rates of convergence for the method of
                                  classical collocation for solving
                                  singular integral equations  . . . . . . 136--148
          Philip Rabinowitz and   
                   Ian H. Sloan   Product Integration in the Presence of a
                                  Singularity  . . . . . . . . . . . . . . 149--166
               Martin Kütz   Asymptotic Error Bounds for a Class of
                                  Interpolatory Quadratures  . . . . . . . 167--175
                A. Griewank and   
                  G. W. Reddien   Characterization and computation of
                                  generalized turning points . . . . . . . 176--185
                    C. C. Paige   A note on a result of Sun Ji Guang:
                                  sensitivity of the CS and GSV
                                  decompositions . . . . . . . . . . . . . 186--191
                P. Albrecht and   
                    M. P. Klein   Extrapolated Iterative Methods for
                                  Linear Systems . . . . . . . . . . . . . 192--201
                    J. D. Pryce   A New Measure of Relative Error for
                                  Vectors  . . . . . . . . . . . . . . . . 202--215

SIAM Journal on Numerical Analysis
Volume 21, Number 2, April, 1984

                  Stanley Osher   Riemann solvers, the entropy condition,
                                  and difference approximations  . . . . . 217--235
               Craig C. Douglas   Multi-grid algorithms with applications
                                  to elliptic boundary value problems  . . 236--254
                S. F. McCormick   Multigrid methods for variational
                                  problems: further results  . . . . . . . 255--263
               R. Verfürth   A Multilevel Algorithm for Mixed
                                  Problems . . . . . . . . . . . . . . . . 264--271
                   Tony F. Chan   Stability analysis of finite difference
                                  schemes for the advection-diffusion
                                  equation . . . . . . . . . . . . . . . . 272--284
                     Anita Mayo   The fast solution of Poisson's and the
                                  biharmonic equations on irregular
                                  regions  . . . . . . . . . . . . . . . . 285--299
               E. J. Doedel and   
                  G. W. Reddien   Finite difference methods for singular
                                  two-point boundary value problems  . . . 300--313
         Graeme Fairweather and   
              Patrick Keast and   
 Julio César Díaz   On the ${H}^{-1}$-Galerkin method for
                                  second-order linear two-point boundary
                                  value problems . . . . . . . . . . . . . 314--326
              C. A. Addison and   
                  W. H. Enright   Properties of multistep formulas
                                  intended for a class of second order
                                  ODEs . . . . . . . . . . . . . . . . . . 327--339
                  Arieh Iserles   Composite methods for numerical solution
                                  of stiff systems of ODEs . . . . . . . . 340--351
                Vance Faber and   
              Thomas Manteuffel   Necessary and sufficient conditions for
                                  the existence of a conjugate gradient
                                  method . . . . . . . . . . . . . . . . . 352--362
                     G. Alefeld   On the convergence of some
                                  interval-arithmetic modifications of
                                  Newton's method  . . . . . . . . . . . . 363--372
            Rolf E. Müller   Computations of holomorphic
                                  multiparameter eigenvalue problems . . . 373--387
                  B. Werner and   
                      A. Spence   The computation of symmetry-breaking
                                  bifurcation points . . . . . . . . . . . 388--399
           Ronald A. DeVore and   
               L. Ridgway Scott   Error bounds for Gaussian quadrature and
                                  weighted-${L}^{1}$\ polynomial
                                  approximation  . . . . . . . . . . . . . 400--412

SIAM Journal on Numerical Analysis
Volume 21, Number 3, June, 1984

               Robert L. Higdon   Boundary conditions for suppressing
                                  rapidly moving components in hyperbolic
                                  systems  . . . . . . . . . . . . . . . . 413--432
                     J. R. Cash   Two new finite difference schemes for
                                  parabolic equations  . . . . . . . . . . 433--446
             John C. Strikwerda   An iterative method for solving finite
                                  difference approximations to the Stokes
                                  equations  . . . . . . . . . . . . . . . 447--458
          Douglas N. Arnold and   
                  Jukka Saranen   On the asymptotic convergence of spline
                                  collocation methods for partial
                                  differential equations . . . . . . . . . 459--472
                 Anne Greenbaum   Analysis of a multigrid method as an
                                  iterative technique for solving linear
                                  systems  . . . . . . . . . . . . . . . . 473--485
           Zdzis\law Jackiewicz   One-Step Methods of any Order for
                                  Neutral Functional Differential
                                  Equations  . . . . . . . . . . . . . . . 486--511
                M. Crouzeix and   
                  F. J. Lisbona   The convergence of variable-stepsize,
                                  variable-formula, multistep methods  . . 512--534
                   George Majda   Filtering techniques for systems of
                                  stiff ordinary differential equations. I 535--566
  Françoise Chatelin and   
            Willard L. Miranker   Aggregation/Disaggregation for
                                  Eigenvalue Problems  . . . . . . . . . . 567--582
                     T. J. Ypma   Local Convergence of Inexact Newton
                                  Methods  . . . . . . . . . . . . . . . . 583--590
                 A. Boja\'nczyk   Complexity of solving linear systems in
                                  different models of computation  . . . . 591--603
    María-Cecilia Rivara   Mesh Refinement Processes Based on the
                                  Generalized Bisection of Simplices . . . 604--613

SIAM Journal on Numerical Analysis
Volume 21, Number 4, August, 1984

              P. Constantin and   
                 C. Foia\cs and   
                       R. Temam   On the large time Galerkin approximation
                                  of the Navier--Stokes equations  . . . . 615--634
           P. J. van der Houwen   Iterated Splitting Methods of High Order
                                  for Time-Dependent Partial Differential
                                  Equations  . . . . . . . . . . . . . . . 635--656
Jean-François Maitre and   
           François Musy   Multigrid methods: convergence theory in
                                  a variational framework  . . . . . . . . 657--671
              Linda Kaufman and   
               Daniel D. Warner   High-order, fast-direct methods for
                                  separable elliptic equations . . . . . . 672--694
               W. R. Dyksen and   
              E. N. Houstis and   
                R. E. Lynch and   
                     J. R. Rice   The performance of the collocation and
                                  Galerkin methods with Hermite bicubics   695--715
                 C. W. Gear and   
                  L. R. Petzold   ODE Methods for the Solution of
                                  Differential/Algebraic Systems . . . . . 716--728
             Manfred R. Trummer   A method for solving ill-posed linear
                                  operator equations . . . . . . . . . . . 729--737
                   Tony F. Chan   Deflated decomposition of solutions of
                                  nearly singular systems  . . . . . . . . 738--754
          Thomas F. Coleman and   
                 Andrew R. Conn   On the local convergence of a
                                  quasi-Newton method for the nonlinear
                                  programming problem  . . . . . . . . . . 755--769
                Stephen G. Nash   Newton-type minimization via the Lánczos
                                  method . . . . . . . . . . . . . . . . . 770--788
                  Dennis D. Cox   Multivariate Smoothing Spline Functions  789--813

SIAM Journal on Numerical Analysis
Volume 21, Number 5, October, 1984

         Robert B. Schnabel and   
                  Paul D. Frank   Tensor Methods for Nonlinear Equations   815--843
             Alan Feldstein and   
               Kenneth W. Neves   High order methods for state-dependent
                                  delay differential equations with
                                  nonsmooth solutions  . . . . . . . . . . 844--863
            Christian Ringhofer   On collocation schemes for quasilinear
                                  singularly perturbed boundary value
                                  problems . . . . . . . . . . . . . . . . 864--882
              Peter C. Meek and   
                   John Norbury   Nonlinear moving boundary problems and a
                                  Keller box scheme  . . . . . . . . . . . 883--893
                 Irena Lasiecka   Convergence estimates for semidiscrete
                                  approximations of nonselfadjoint
                                  parabolic equations  . . . . . . . . . . 894--909
             W. G. Szymczak and   
                   I. Babu\vska   Adaptivity and error estimation for the
                                  finite element method applied to
                                  convection diffusion problems  . . . . . 910--954
              Stanley Osher and   
           Sukumar Chakravarthy   High Resolution Schemes and the Entropy
                                  Condition  . . . . . . . . . . . . . . . 955--984
              A. Y. Le Roux and   
                  P. Quesseveur   Convergence of an Antidiffusion
                                  Lagrange--Euler Scheme for Quasi-Linear
                                  Equations  . . . . . . . . . . . . . . . 985--994
                    P. K. Sweby   High resolution schemes using flux
                                  limiters for hyperbolic conservation
                                  laws . . . . . . . . . . . . . . . . . . 995--1011

SIAM Journal on Numerical Analysis
Volume 21, Number 6, December, 1984

                   Yann Brenier   Averaged multivalued solutions for
                                  scalar conservation laws . . . . . . . . 1013--1037
                    Jens Lorenz   Analysis of difference schemes for a
                                  stationary shock problem . . . . . . . . 1038--1053
               Joseph W. Jerome   Fully discrete stability and invariant
                                  rectangular regions for
                                  reaction-diffusion systems . . . . . . . 1054--1065
              James F. Epperson   Finite element methods for a class of
                                  nonlinear evolution equations  . . . . . 1066--1079
               Anatoly M. Genis   On finite element methods for the
                                  Euler--Poisson--Darboux equation . . . . 1080--1106
                  Per Erik Koch   Collocation by ${L}$-Splines at
                                  Transformed Gaussian Points  . . . . . . 1107--1114
            David R. Dellwo and   
             Morton B. Friedman   Accelerated Spectral Analysis of Compact
                                  Operators  . . . . . . . . . . . . . . . 1115--1131
                Hermann Brunner   Iterated collocation methods and their
                                  discretizations for Volterra integral
                                  equations  . . . . . . . . . . . . . . . 1132--1145
              Paul T. Boggs and   
                   Jon W. Tolle   A family of descent functions for
                                  constrained optimization . . . . . . . . 1146--1161
             Andrew R. Conn and   
           Nicholas I. M. Gould   On the location of directions of
                                  infinite descent for nonlinear
                                  programming algorithms . . . . . . . . . 1162--1179
                   Milo R. Dorr   The approximation theory for the
                                  $p$-version of the finite element method 1180--1207


SIAM Journal on Numerical Analysis
Volume 22, Number 1, February, 1985

              Michael Brannigan   Discrete Chebyshev approximation with
                                  linear constraints . . . . . . . . . . . 1--15
               William W. Hager   Approximations to the Multiplier Method  16--46
           Gerald A. Shultz and   
         Robert B. Schnabel and   
                Richard H. Byrd   A family of trust-region-based
                                  algorithms for unconstrained
                                  minimization with strong global
                                  convergence properties . . . . . . . . . 47--67
         Jòrgen Hald and   
                     Kaj Madsen   Combined LP and quasi-Newton methods for
                                  nonlinear ${L}_1$ optimization . . . . . 68--80
              Alexander Shapiro   Optimal block diagonal ${L}_2$-scaling
                                  of matrices  . . . . . . . . . . . . . . 81--94
                   Peter Alfeld   Multivariate Perpendicular Interpolation 95--106
                    J. R. Busch   Osculatory Interpolation in
                                  $\mathbb{R}^n$ . . . . . . . . . . . . . 107--113
                 Suchitra Gupta   An adaptive boundary value Runge--Kutta
                                  solver for first order boundary value
                                  problems . . . . . . . . . . . . . . . . 114--126
                   M. M. Chawla   On the order and attainable intervals of
                                  periodicity of explicit Nyström methods
                                  for $y=f(t,y)$ . . . . . . . . . . . . . 127--131
         Daniel S. Watanabe and   
               Mitchell G. Roth   The stability of difference formulas for
                                  delay differential equations . . . . . . 132--145
          Seymour V. Parter and   
             Michael Steuerwalt   Block iterative methods for elliptic
                                  finite element equations . . . . . . . . 146--179
              Bradley J. Lucier   A stable adaptive numerical scheme for
                                  hyperbolic conservation laws . . . . . . 180--203
            Peter Markowich and   
                Michael Renardy   Corrigenda: ``Lax--Wendroff Methods for
                                  Hyperbolic History Value Problems''
                                  [SIAM J. Numer. Anal. \bf 21 (1984), no.
                                  1, 24--51] . . . . . . . . . . . . . . . 204--204

SIAM Journal on Numerical Analysis
Volume 22, Number 2, April, 1985

                    R. E. White   The binary alloy problem: existence,
                                  uniqueness, and numerical approximation  205--244
                  Jeffrey Rauch   On convergence of the finite element
                                  method for the wave equation . . . . . . 245--249
              George J. Fix and   
                 Milton E. Rose   A comparative study of finite element
                                  and finite difference methods for
                                  Cauchy--Riemann type equations . . . . . 250--261
                       H. Weber   Multigrid Bifurcation Iteration  . . . . 262--279
          Marianela Lentini and   
         Michael R. Osborne and   
              Robert D. Russell   The close relationships between methods
                                  for solving two-point boundary value
                                  problems . . . . . . . . . . . . . . . . 280--309
                       T. Nanda   Differential Equations and the ${QR}$
                                  Algorithm  . . . . . . . . . . . . . . . 310--321
         Eugene L. Allgower and   
             Phillip H. Schmidt   An algorithm for piecewise-linear
                                  approximation of an implicitly defined
                                  manifold . . . . . . . . . . . . . . . . 322--346
                  A. Jepson and   
                      A. Spence   Folds in Solutions of Two Parameter
                                  Systems and Their Calculation. Part I    347--368
              A. M. Erisman and   
               R. G. Grimes and   
                J. G. Lewis and   
               W. G. Poole, Jr.   A structurally stable modification of
                                  Hellerman--Rarick's $P^4$ algorithm for
                                  reordering unsymmetric sparse matrices   369--385
              R. E. Carlson and   
                  F. N. Fritsch   Monotone Piecewise Bicubic Interpolation 386--400
              R. K. Beatson and   
                     Z. Ziegler   Monotonicity Preserving Surface
                                  Interpolation  . . . . . . . . . . . . . 401--411

SIAM Journal on Numerical Analysis
Volume 22, Number 3, June, 1985

       Christopher Anderson and   
               Claude Greengard   On Vortex Methods  . . . . . . . . . . . 413--440
               Tony F. Chan and   
                  Tom Kerkhoven   Fourier methods with extended stability
                                  intervals for the Korteweg--de Vries
                                  equation . . . . . . . . . . . . . . . . 441--454
         Christine Bernardi and   
             Genevi\`eve Raugel   A conforming finite element method for
                                  the time-dependent Navier--Stokes
                                  equations  . . . . . . . . . . . . . . . 455--473
               J. M. Boland and   
               R. A. Nicolaides   Stable and semistable low order finite
                                  elements for viscous flows . . . . . . . 474--492
         Luisa Donatella Marini   An inexpensive method for the evaluation
                                  of the solution of the lowest order
                                  Raviart--Thomas mixed method . . . . . . 493--496
             Reinhard Frank and   
              Josef Schneid and   
        Christoph W. Ueberhuber   Stability properties of implicit
                                  Runge--Kutta methods . . . . . . . . . . 497--514
             Reinhard Frank and   
              Josef Schneid and   
        Christoph W. Ueberhuber   Order results for implicit Runge--Kutta
                                  methods applied to stiff systems . . . . 515--534
                I. Gladwell and   
                   R. M. Thomas   A qualitative analysis of two- and
                                  three-step methods for stable second
                                  order systems  . . . . . . . . . . . . . 535--560
               M. M. Chawla and   
                    C. P. Katti   A uniform mesh finite difference method
                                  for a class of singular two-point
                                  boundary value problems  . . . . . . . . 561--565
               D. W. Decker and   
                   C. T. Kelley   Broyden's method for a class of problems
                                  having singular Jacobian at the root . . 566--574
                      Avi Vardi   A trust region algorithm for equality
                                  constrained minimization: convergence
                                  properties and implementation  . . . . . 575--591
                      R. Farwig   Multivariate truncated powers and
                                  ${B}$-splines with coalescent knots  . . 592--603
                R. Krawczyk and   
                    A. Neumaier   Interval slopes for rational functions
                                  and associated centered forms  . . . . . 604--616

SIAM Journal on Numerical Analysis
Volume 22, Number 4, August, 1985

           Randolph E. Bank and   
               Craig C. Douglas   Sharp estimates for multigrid rates of
                                  convergence with general smoothing and
                                  acceleration . . . . . . . . . . . . . . 617--633
                S. F. McCormick   Multigrid methods for variational
                                  problems: general theory for the
                                  ${V}$-cycle  . . . . . . . . . . . . . . 634--643
            Alexander Bogomolny   Fundamental solutions method for
                                  elliptic boundary value problems . . . . 644--669
                    Tzu Chu Lin   The numerical solution of Helmholtz's
                                  equation for the exterior Dirichlet
                                  problem in three dimensions  . . . . . . 670--686
                     David Hoff   A scheme for computing solutions and
                                  interface curves for a doubly-degenerate
                                  parabolic equation . . . . . . . . . . . 687--712
                Richard Sanders   The moving grid method for nonlinear
                                  hyperbolic conservation laws . . . . . . 713--728
              James P. Fink and   
           Werner C. Rheinboldt   Local error estimates for parametrized
                                  nonlinear equations  . . . . . . . . . . 729--735
            Allan D. Jepson and   
                Alastair Spence   The numerical solution of nonlinear
                                  equations having several parameters. I.
                                  Scalar equations . . . . . . . . . . . . 736--759
          J. E. Dennis, Jr. and   
                Homer F. Walker   Least-change sparse secant update
                                  methods with inaccurate secant
                                  conditions . . . . . . . . . . . . . . . 760--778
            Maharaja C. Pandian   A convergence test and componentwise
                                  error estimates for Newton type methods  779--791
               Hartmut Schwandt   Krawczyk-like algorithms for the
                                  solution of systems of nonlinear
                                  equations  . . . . . . . . . . . . . . . 792--810
                    Gary Herron   A characterization of certain ${C}^1$
                                  discrete triangular interpolants . . . . 811--819

SIAM Journal on Numerical Analysis
Volume 22, Number 5, October, 1985

              Jorge Nocedal and   
             Michael L. Overton   Projected Hessian updating algorithms
                                  for nonlinearly constrained optimization 821--850
               Charles Van Loan   On the method of weighting for
                                  equality-constrained least-squares
                                  problems . . . . . . . . . . . . . . . . 851--864
                     Achiya Dax   Successive Refinement of Large Multicell
                                  Models . . . . . . . . . . . . . . . . . 865--887
                 Patricio Basso   Optimal search for the global maximum of
                                  functions with bounded seminorm  . . . . 888--903
                   Tony F. Chan   An approximate Newton method for coupled
                                  nonlinear systems  . . . . . . . . . . . 904--913
                    A. Neumaier   Residual inverse iteration for the
                                  nonlinear eigenvalue problem . . . . . . 914--923
                Kenneth P. Bube   Convergence of numerical inversion
                                  methods for discontinuous impedance
                                  profiles . . . . . . . . . . . . . . . . 924--946
                  Stanley Osher   Convergence of Generalized MUSCL Schemes 947--961
               Jim Douglas, Jr.   Superconvergence in the pressure in the
                                  simulation of miscible displacement  . . 962--969
              Thomas F. Russell   Time stepping along characteristics with
                                  incomplete iteration for a Galerkin
                                  approximation of miscible displacement
                                  in porous media  . . . . . . . . . . . . 970--1013
           Lawrence F. Shampine   Interpolation for Runge--Kutta Methods   1014--1027
            Graham F. Carey and   
                   Hung T. Dinh   Grading Functions and Mesh
                                  Redistribution . . . . . . . . . . . . . 1028--1040

SIAM Journal on Numerical Analysis
Volume 22, Number 6, December, 1985

               John B. Bell and   
          Gregory R. Shubin and   
            Mary Fanett Wheeler   Analysis of a new method for computing
                                  the flow of miscible fluids in a porous
                                  medium . . . . . . . . . . . . . . . . . 1041--1050
             Randall J. Leveque   A large time step generalization of
                                  Godunov's method for systems of
                                  conservation laws  . . . . . . . . . . . 1051--1073
              Bradley J. Lucier   Error bounds for the methods of Glimm,
                                  Godunov and LeVeque  . . . . . . . . . . 1074--1081
             I. Norman Katz and   
                Douglas W. Wang   The $p$-version of the finite element
                                  method for problems requiring
                                  ${C}^1$-continuity . . . . . . . . . . . 1082--1106
        John R. Baumgardner and   
           Paul O. Frederickson   Icosahedral Discretization of the
                                  Two-Sphere . . . . . . . . . . . . . . . 1107--1115
                   George Majda   Filtering techniques for systems of
                                  stiff ordinary differential equations.
                                  II. Error estimates  . . . . . . . . . . 1116--1134
                 Marino Zennaro   One-step collocation: uniform
                                  superconvergence, predictor-corrector
                                  method, local error estimate . . . . . . 1135--1152
            John R. Klauder and   
             Wesley P. Petersen   Numerical integration of
                                  multiplicative-noise stochastic
                                  differential equations . . . . . . . . . 1153--1166
                         S. Joe   Discrete collocation methods for second
                                  kind Fredholm integral equations . . . . 1167--1177
               C. R. Morrow and   
             T. N. L. Patterson   The construction of algebraic cubature
                                  formulae by the distribution of nodes
                                  along selected lines . . . . . . . . . . 1178--1190
                  Bruno Gabutti   An asymptotic approximation for a class
                                  of oscillatory infinite integrals  . . . 1191--1199
              J. M. Shearer and   
                    M. A. Wolfe   Some computable existence, uniqueness,
                                  and convergence tests for nonlinear
                                  systems  . . . . . . . . . . . . . . . . 1200--1207
Stanis\law M. Grzegórski   Orthogonal projections on convex sets
                                  for Newton-like methods  . . . . . . . . 1208--1219
            S. C. Eisenstat and   
              K. R. Jackson and   
                    J. W. Lewis   The Order of Monotone Piecewise Cubic
                                  Interpolation  . . . . . . . . . . . . . 1220--1237
                     Daniel Lee   On remainders and asymptotic error
                                  expansions in cardinal spline
                                  interpolation  . . . . . . . . . . . . . 1238--1242
               David L. Ragozin   The discrete $k$-functional and spline
                                  smoothing of noisy data  . . . . . . . . 1243--1254
                 Suchitra Gupta   Corrigenda: ``An adaptive boundary value
                                  Runge--Kutta solver for first order
                                  boundary value problems'' [SIAM J.
                                  Numer. Anal. \bf 22 (1985), no. 1,
                                  114--126]  . . . . . . . . . . . . . . . 1255--1255


SIAM Journal on Numerical Analysis
Volume 23, Number 1, February, 1986

                   Eitan Tadmor   The exponential accuracy of Fourier and
                                  Chebyshev differencing methods . . . . . 1--10
                Hillel Tal-Ezer   Spectral Methods in Time for Hyperbolic
                                  Equations  . . . . . . . . . . . . . . . 11--26
              Laurence A. Bales   Higher order single step fully discrete
                                  approximations for second order
                                  hyperbolic equations with time dependent
                                  coefficients . . . . . . . . . . . . . . 27--43
            Howard C. Elman and   
              Martin H. Schultz   Preconditioning by fast direct methods
                                  for nonselfadjoint nonseparable elliptic
                                  equations  . . . . . . . . . . . . . . . 44--57
                   Milo R. Dorr   The approximation of solutions of
                                  elliptic boundary-value problems via the
                                  $p$-version of the finite element method 58--77
         H. D. Victory, Jr. and   
                 Keshab Ganguly   On finite-difference methods for solving
                                  discrete-ordinates transport equations   78--108
                    C. R. Vogel   Optimal choice of a truncation level for
                                  the truncated SVD solution of linear
                                  first kind integral equations when data
                                  are noisy  . . . . . . . . . . . . . . . 109--117
                 Robert Whitley   The stability of finite rank methods
                                  with applications to integral equations  118--134
                    George Miel   On the Galerkin and collocation methods
                                  for a Cauchy singular integral equation  135--143
         Mario Ahués and   
                Mauricio Telias   Refinement Methods of Newton Type for
                                  Approximate Eigenelements of Integral
                                  Operators  . . . . . . . . . . . . . . . 144--159
             E. L. Allgower and   
             K. Böhmer and   
                F.-A. Potra and   
               W. C. Rheinboldt   A mesh-independence principle for
                                  operator equations and their
                                  discretizations  . . . . . . . . . . . . 160--169
                 J. L. Nazareth   Analogues of Dixon's and Powell's
                                  theorems for unconstrained minimization
                                  with inexact line searches . . . . . . . 170--177
                 Avram Sidi and   
            William F. Ford and   
                 David A. Smith   Acceleration of Convergence of Vector
                                  Sequences  . . . . . . . . . . . . . . . 178--196
                     Avram Sidi   Convergence and stability properties of
                                  minimal polynomial and reduced rank
                                  extrapolation algorithms . . . . . . . . 197--209
  Patricia Hillhouse Finney and   
           Thomas E. Price, Jr.   Minimum norm quadratures which satisfy
                                  nonstandard interpolating conditions . . 210--216
                 J. Garloff and   
                    R. Krawczyk   Optimal Inclusion of a Solution Set  . . 217--226

SIAM Journal on Numerical Analysis
Volume 23, Number 2, April, 1986

                Kenneth P. Bube   Numerical methods for reflection inverse
                                  problems: convergence and nonimpulsive
                                  sources  . . . . . . . . . . . . . . . . 227--258
               Yann Brenier and   
                  Stanley Osher   Approximate Riemann solvers and
                                  numerical flux functions . . . . . . . . 259--273
               Tony F. Chan and   
                   Ding Lee and   
                  Long Jun Shen   Stable explicit schemes for equations of
                                  the Schrödinger type  . . . . . . . . . . 274--281
      C. E. Greenwell-Yanik and   
                 G. Fairweather   Analyses of Spline Collocation Methods
                                  for Parabolic and Hyperbolic Problems in
                                  Two Space Variables  . . . . . . . . . . 282--296
        Warren E. Ferguson, Jr.   The rate of convergence of a class of
                                  block Jacobi schemes . . . . . . . . . . 297--303
               Hartmut Schwandt   Almost globally convergent interval
                                  methods for discretizations of nonlinear
                                  elliptic partial differential equations  304--324
          Heinz-Otto Kreiss and   
              N. K. Nichols and   
                 David L. Brown   Numerical methods for stiff two-point
                                  boundary value problems  . . . . . . . . 325--368
              Martin Stynes and   
               Eugene O'Riordan   A uniformly accurate finite element
                                  method for a singular perturbation
                                  problem in conservative form . . . . . . 369--375
                 John Paine and   
              Robert D. Russell   Conditioning of collocation matrices and
                                  discrete Green's functions . . . . . . . 376--392
                Robert D. Skeel   The order of accuracy for deferred
                                  corrections using uncentered end
                                  formulas . . . . . . . . . . . . . . . . 393--402
               Kenneth Eriksson   Some error estimates for the $p$-version
                                  of the finite element method . . . . . . 403--411
                  U. Ascher and   
                       G. Bader   Stability of Collocation at Gaussian
                                  Points . . . . . . . . . . . . . . . . . 412--422
           Zdzis\law Jackiewicz   Quasilinear Multistep Methods and
                                  Variable Step Predictor-Corrector
                                  Methods for Neutral Functional
                                  Differential Equations . . . . . . . . . 423--452
          Edwin H. Kaufman, Jr.   The behavior of differential correction
                                  in difficult situations  . . . . . . . . 453--460

SIAM Journal on Numerical Analysis
Volume 23, Number 3, June, 1986

                P. Charrier and   
                   B. Tessieras   On front-tracking methods applied to
                                  hyperbolic systems of nonlinear
                                  conservation laws  . . . . . . . . . . . 461--472
            A. Q. M. Khaliq and   
                  E. H. Twizell   ${L}_0$-Stable Splitting Methods for the
                                  Simple Heat Equation in Two Space
                                  Dimensions with Homogeneous Boundary
                                  Conditions . . . . . . . . . . . . . . . 473--484
          J. A. C. Weideman and   
                   B. M. Herbst   Split-step methods for the solution of
                                  the nonlinear Schrödinger equation  . . . 485--507
                Peter H. Sammon   Numerical approximations for a miscible
                                  displacement process in porous media . . 508--542
             Mohammad Asadzadeh   Analysis of a fully discrete scheme for
                                  neutron transport in two-dimensional
                                  geometry . . . . . . . . . . . . . . . . 543--561
                      M. Lenoir   Optimal isoparametric finite elements
                                  and error estimates for domains
                                  involving curved boundaries  . . . . . . 562--580
               Harry Yserentant   On the Multi-Level Splitting of Finite
                                  Element Spaces for Indefinite Elliptic
                                  Boundary Value Problems  . . . . . . . . 581--595
                     Uri Ascher   Collocation for two-point boundary value
                                  problems revisited . . . . . . . . . . . 596--609
             Peter N. Brown and   
              Alan C. Hindmarsh   Matrix-Free Methods for Stiff Systems of
                                  ODE's  . . . . . . . . . . . . . . . . . 610--638
                    R. E. White   A nonlinear parallel algorithm with
                                  application to the Stefan problem  . . . 639--652
                  Rong Qing Jia   Spline Interpolation at a Bi-Infinite
                                  Knot Sequence  . . . . . . . . . . . . . 653--662
                   T. Lyche and   
               K. Mòrken   Making the OSLO Algorithm More Efficient 663--675
       Johannes W. Wissmann and   
                  Thomas Becker   Partially Symmetric Cubature Formulas
                                  for Even Degrees of Exactness  . . . . . 676--685
           Dragoslav Herceg and   
           Ljiljana Cvetkovi\'c   On a Numerical Differentiation . . . . . 686--691

SIAM Journal on Numerical Analysis
Volume 23, Number 4, August, 1986

              James P. Fink and   
           Werner C. Rheinboldt   Folds on the solution manifold of a
                                  parametrized equation  . . . . . . . . . 693--706
                  L. Grippo and   
             F. Lampariello and   
                      S. Lucidi   A nonmonotone line search technique for
                                  Newton's method  . . . . . . . . . . . . 707--716
          J. E. Dennis, Jr. and   
                 Trond Steihaug   On the successive projections approach
                                  to least-squares problems  . . . . . . . 717--733
               Jaime Guerra and   
              Bertil Gustafsson   A semi-implicit method for hyperbolic
                                  problems with different time-scales  . . 734--749
            John G. Heywood and   
                 Rolf Rannacher   Finite Element Approximation of the
                                  Nonstationary Navier--Stokes Problem,
                                  Part II: Stability of Solutions and
                                  Error Estimates Uniform in Time  . . . . 750--777
            Slimane Adjerid and   
             Joseph E. Flaherty   A moving finite element method with
                                  error estimation and refinement for
                                  one-dimensional time dependent partial
                                  differential equations . . . . . . . . . 778--796
                   A. J. Wathen   Mesh-Independent Spectra in the Moving
                                  Finite Element Equations . . . . . . . . 797--814
                 Claudio Canuto   Boundary conditions in Chebyshev and
                                  Legendre methods . . . . . . . . . . . . 815--831
         Rolf Dieter Grigorieff   On the Convergence of Stability
                                  Constants  . . . . . . . . . . . . . . . 832--836
                  L. R. Petzold   Order Results for Implicit Runge--Kutta
                                  Methods Applied to
                                  Differential/Algebraic Systems . . . . . 837--852
             Manfred R. Trummer   An efficient implementation of a
                                  conformal mapping method based on the
                                  Szeg\Ho kernel . . . . . . . . . . . . . 853--872
              W. G. Hawkins and   
                  H. H. Barrett   A numerically stable circular harmonic
                                  reconstruction algorithm . . . . . . . . 873--890
           Apostolos Gerasoulis   Piecewise-polynomial quadratures for
                                  Cauchy singular integrals  . . . . . . . 891--902
                  R. K. Beatson   On the convergence of some cubic spline
                                  interpolation schemes  . . . . . . . . . 903--912

SIAM Journal on Numerical Analysis
Volume 23, Number 5, October, 1986

               Tony F. Chan and   
               Diana C. Resasco   Generalized Deflated Block-Elimination   913--924
                 C. de Boor and   
                     F. de Hoog   Stability of Finite Difference Schemes
                                  for Two-Point Boundary Value Problems    925--935
                 C. de Boor and   
                   H.-O. Kreiss   On the Condition of the Linear Systems
                                  Associated with Discretized BVPs of ODEs 936--939
        Warren E. Ferguson, Jr.   Analysis of a singularly-perturbed
                                  linear two-point boundary value problem  940--947
             Thomas M. Hagstrom   Asymptotic expansions and boundary
                                  conditions for time-dependent problems   948--958
               A. D. Jepson and   
                   D. W. Decker   Convergence Cones Near Bifurcation . . . 959--975
                James P. Keener   The Sarkovski\uì Sequence and Stable
                                  Periodic Orbits of Maps of the Interval  976--985
              P. E. Kloeden and   
                      J. Lorenz   Stable attracting sets in dynamical
                                  systems and in their one-step
                                  discretizations  . . . . . . . . . . . . 986--995
       Thomas A. Manteuffel and   
           Andrew B. White, Jr.   On the efficient numerical solution of
                                  systems of second order boundary value
                                  problems . . . . . . . . . . . . . . . . 996--1006
             Hans D. Mittelmann   A pseudo-arclength continuation method
                                  for nonlinear eigenvalue problems  . . . 1007--1016
                    Paul Nelson   Convergence of inner iterations for
                                  finite-difference approximations to the
                                  linear transport equation  . . . . . . . 1017--1022
              M. R. Osborne and   
                  R. D. Russell   The Riccati transformation in the
                                  solution of boundary value problems  . . 1023--1033
          Michael B. Porter and   
                Edward L. Reiss   A note on the relationship between
                                  finite-difference and shooting methods
                                  for ODE eigenvalue problems  . . . . . . 1034--1039
               P. J. Rabier and   
                  G. W. Reddien   Characterization and computation of
                                  singular points with maximum rank
                                  deficiency . . . . . . . . . . . . . . . 1040--1051
                I. H. Sloan and   
               V. Thomée   Time discretization of an
                                  integro-differential equation of
                                  parabolic type . . . . . . . . . . . . . 1052--1061
            Ewa Weinmüller   Collocation for Singular Boundary Value
                                  Problems of Second Order . . . . . . . . 1062--1095
                Eugene Isaacson   Dedication . . . . . . . . . . . . . . . i--i

SIAM Journal on Numerical Analysis
Volume 23, Number 6, December, 1986

  Petter E. Bjòrstad and   
                Olof B. Widlund   Iterative methods for the solution of
                                  elliptic problems on regions partitioned
                                  into substructures . . . . . . . . . . . 1097--1120
               Thomas Kerkhoven   A proof of convergence of Gummel's
                                  algorithm for realistic device
                                  geometries . . . . . . . . . . . . . . . 1121--1137
                 N. Bressan and   
                  A. Quarteroni   Analysis of Chebyshev collocation
                                  methods for parabolic equations  . . . . 1138--1154
                     Peter Monk   Error estimates for a numerical method
                                  for an ill-posed Cauchy problem for the
                                  heat equation  . . . . . . . . . . . . . 1155--1172
                     J. P. Vila   Simplified Godunov schemes for $2\times
                                  2$ systems of conservation laws  . . . . 1173--1192
                  Liviu Lustman   The time evolution of spectral
                                  discretizations of hyperbolic systems    1193--1198
                 Rudolf Wegmann   On Fornberg's Numerical Method for
                                  Conformal Mapping  . . . . . . . . . . . 1199--1213
                 G. A. Chandler   Superconvergent approximations to the
                                  solution of a boundary integral equation
                                  on polygonal domains . . . . . . . . . . 1214--1229
             P. D. Robinson and   
                     P. K. Yuen   Bivariational methods for linear
                                  integral equations with nonsymmetric
                                  kernels  . . . . . . . . . . . . . . . . 1230--1240
                 Alan E. Berger   A conservative uniformly accurate
                                  difference method for a singular
                                  perturbation problem in conservation
                                  form . . . . . . . . . . . . . . . . . . 1241--1253
                 Maarten de Gee   Asymptotic Expansions for the Midpoint
                                  Rule Applied to Delay Differential
                                  Equations  . . . . . . . . . . . . . . . 1254--1272
                      Alan Genz   Fully symmetric interpolatory rules for
                                  multiple integrals . . . . . . . . . . . 1273--1283
              Catterina Dagnino   Extensions of some results for
                                  interpolatory product integration rules
                                  to rules not necessarily of
                                  interpolatory type . . . . . . . . . . . 1284--1289
              Graziano Vincenti   On the computation of the coefficients
                                  of $s$-orthogonal polynomials  . . . . . 1290--1294
                    W. Govaerts   The Geodesics of Pryce's Relative
                                  Distance in $\mathbb{R}^2_\infty$  . . . 1295--1302


SIAM Journal on Numerical Analysis
Volume 24, Number 1, February, 1987

               Rolf Jeltsch and   
                     J. H. Smit   Accuracy barriers of two time level
                                  difference schemes for hyperbolic
                                  equations  . . . . . . . . . . . . . . . 1--11
           Kenneth Eriksson and   
                  Claes Johnson   Error estimates and automatic time step
                                  control for nonlinear parabolic
                                  problems. I  . . . . . . . . . . . . . . 12--23
                      C. V. Pao   Numerical Methods for Semilinear
                                  Parabolic Equations  . . . . . . . . . . 24--35
          Kenneth L. Bowers and   
                      John Lund   Numerical solution of singular Poisson
                                  problems via the sinc-Galerkin method    36--51
              E. M. Harrell and   
                   W. J. Layton   ${L}^2$ estimates for Galerkin methods
                                  for semilinear elliptic equations  . . . 52--58
                Wayne R. Dyksen   Tensor product generalized ADI methods
                                  for separable elliptic problems  . . . . 59--76
                     Ronghua Li   Generalized Difference Methods for a
                                  Nonlinear Dirichlet Problem  . . . . . . 77--88
              F. R. de Hoog and   
              R. M. M. Mattheij   On Dichotomy and Well Conditioning in
                                  BVP  . . . . . . . . . . . . . . . . . . 89--105
                     K. Burrage   High order algebraically stable
                                  multistep Runge--Kutta methods . . . . . 106--115
               Ian H. Sloan and   
             Philip J. Kachoyan   Lattice methods for multiple
                                  integration: theory, error analysis and
                                  examples . . . . . . . . . . . . . . . . 116--128
                J. C. Alexander   Average Intersection and Pivoting
                                  Densities  . . . . . . . . . . . . . . . 129--146
                    Kurt Jetter   Uniqueness of Gauss--Birkhoff Quadrature
                                  Formulas . . . . . . . . . . . . . . . . 147--154
                    Youcef Saad   Least squares polynomials in the complex
                                  plane and their use for solving
                                  nonsymmetric linear systems  . . . . . . 155--169
                Vance Faber and   
           Thomas A. Manteuffel   Orthogonal Error Methods . . . . . . . . 170--187
             Bradley N. Parsons   General $k$-part stationary iterative
                                  solutions to linear systems  . . . . . . 188--198
            James Weldon Demmel   The smallest perturbation of a submatrix
                                  which lowers the rank and constrained
                                  total least squares problems . . . . . . 199--206
                    A. Neumaier   Overestimation in Linear Interval
                                  Equations  . . . . . . . . . . . . . . . 207--214
              Günter Mayer   Comparison Theorems for Iterative
                                  Methods Based on Strong Splittings . . . 215--227
                        A. Cuyt   A recursive computation scheme for
                                  multivariate rational interpolants . . . 228--239

SIAM Journal on Numerical Analysis
Volume 24, Number 2, April, 1987

             David Gottlieb and   
              Liviu Lustman and   
                   Eitan Tadmor   Stability analysis of spectral methods
                                  for hyperbolic initial-boundary value
                                  systems  . . . . . . . . . . . . . . . . 241--256
            Richard S. Falk and   
              Gerard R. Richter   Analysis of a continuous finite element
                                  method for hyperbolic equations  . . . . 257--278
                 Ami Harten and   
                  Stanley Osher   Uniformly high-order accurate
                                  nonoscillatory schemes. I  . . . . . . . 279--309
            Georges H. Guirguis   On the coupling boundary integral and
                                  finite element methods for the exterior
                                  Stokes problem in $3$-D  . . . . . . . . 310--322
               Alfio Quarteroni   Fourier spectral methods for
                                  pseudoparabolic equations  . . . . . . . 323--335
               Tony F. Chan and   
                  Long Jun Shen   Stability analysis of difference schemes
                                  for variable coefficient Schrödinger type
                                  equations  . . . . . . . . . . . . . . . 336--349
                 Neil M. Wigley   Stress intensity factors and improved
                                  convergence estimates at a corner  . . . 350--354
               R. A. Nicolaides   Deflation of conjugate gradients with
                                  applications to boundary value problems  355--365
             David Kamowitz and   
              Seymour V. Parter   On $\mathrm{MGR}\lbrack \nu \rbrack$
                                  Multigrid Methods  . . . . . . . . . . . 366--381
                   Tony F. Chan   Analysis of Preconditioners for Domain
                                  Decomposition  . . . . . . . . . . . . . 382--390
                 Peter Albrecht   A New Theoretical Approach to
                                  Runge--Kutta Methods . . . . . . . . . . 391--406
                 Peter N. Brown   A Local Convergence Theory for Combined
                                  Inexact-Newton/Finite-Difference
                                  Projection Methods . . . . . . . . . . . 407--434
               Tien-Yien Li and   
                  Tim Sauer and   
                 James A. Yorke   Numerical solution of a class of
                                  deficient polynomial systems . . . . . . 435--451
         Eugene L. Allgower and   
               Stefan Gnutzmann   An algorithm for piecewise linear
                                  approximation of implicitly defined
                                  two-dimensional surfaces . . . . . . . . 452--469
             C. W. Clenshaw and   
                 F. W. J. Olver   Level-Index Arithmetic Operations  . . . 470--485

SIAM Journal on Numerical Analysis
Volume 24, Number 3, June, 1987

                  Zi-Cai Li and   
              Rudolf Mathon and   
                   Pavol Sermer   Boundary methods for solving elliptic
                                  problems with singularities and
                                  interfaces . . . . . . . . . . . . . . . 487--498
             John R. Cannon and   
Salvador Pérez Esteva and   
              John van der Hoek   A Galerkin procedure for the diffusion
                                  equation subject to the specification of
                                  mass . . . . . . . . . . . . . . . . . . 499--515
               C. T. Kelley and   
                    E. W. Sachs   A quasi-Newton method for elliptic
                                  boundary value problems  . . . . . . . . 516--531
             David Gottlieb and   
              Liviu Lustman and   
                   Eitan Tadmor   Convergence of spectral methods for
                                  hyperbolic initial-boundary value
                                  systems  . . . . . . . . . . . . . . . . 532--537
                    Ole H. Hald   Convergence of vortex methods for
                                  Euler's equations. III . . . . . . . . . 538--582
          W. H. Hundsdorfer and   
                  M. N. Spijker   On the algebraic equations in implicit
                                  Runge--Kutta methods . . . . . . . . . . 583--594
       P. J. van der Houwen and   
                B. P. Sommeijer   Explicit Runge--Kutta (-Nyström) Methods
                                  with Reduced Phase Errors for Computing
                                  Oscillating Solutions  . . . . . . . . . 595--617
              James P. Fink and   
           Werner C. Rheinboldt   A geometric framework for the numerical
                                  study of singular points . . . . . . . . 618--633
               S. Friedland and   
                 J. Nocedal and   
                  M. L. Overton   The formulation and analysis of
                                  numerical methods for inverse eigenvalue
                                  problems . . . . . . . . . . . . . . . . 634--667
                  Ming Kui Chen   On the Solution of Circulant Linear
                                  Systems  . . . . . . . . . . . . . . . . 668--683
               Andreas Griewank   The local convergence of Broyden-like
                                  methods on Lipschitzian problems in
                                  Hilbert spaces . . . . . . . . . . . . . 684--705
        R. H. J. Gmelig Meyling   An algorithm for constructing
                                  configurations of knots for bivariate
                                  ${B}$-splines  . . . . . . . . . . . . . 706--724
      Günter Baszenski and   
             Larry L. Schumaker   On a Method for Fitting an Unknown
                                  Function Based on Mean-Value
                                  Measurements . . . . . . . . . . . . . . 725--736

SIAM Journal on Numerical Analysis
Volume 24, Number 4, August, 1987

                     Peter Monk   A mixed finite element method for the
                                  biharmonic equation  . . . . . . . . . . 737--749
               I. Babu\vska and   
                     Manil Suri   The Optimal Convergence Rate of the
                                  $p$-Version of the Finite Element Method 750--776
           Randolph E. Bank and   
                 Donald J. Rose   Some Error Estimates for the Box Method  777--787
               Donald A. French   The finite element method for a
                                  degenerate elliptic equation . . . . . . 788--815
            K. Ruotsalainen and   
                     J. Saranen   Some boundary element methods using
                                  Dirac's distributions as trial functions 816--827
            Christopher Beattie   An extension of Aronszajn's rule:
                                  slicing the spectrum for intermediate
                                  problems . . . . . . . . . . . . . . . . 828--843
                   M. Calvo and   
                 F. Lisbona and   
                   J. Montijano   On the stability of variable-stepsize
                                  Nordsieck BDF methods  . . . . . . . . . 844--854
               Terje O. Espelid   On the construction of good fully
                                  symmetric integration rules  . . . . . . 855--881
             Thomas A. Grandine   The evaluation of inner products of
                                  multivariate simplex splines . . . . . . 882--886
             Thomas A. Grandine   The Computational Cost of Simplex Spline
                                  Functions  . . . . . . . . . . . . . . . 887--890
               Peter Alfeld and   
                Bruce Piper and   
                L. L. Schumaker   An explicit basis for ${C}^1$ quartic
                                  bivariate splines  . . . . . . . . . . . 891--911
               P. Deuflhard and   
                 B. Fiedler and   
                      P. Kunkel   Efficient numerical pathfollowing beyond
                                  critical points  . . . . . . . . . . . . 912--927
                  Joel Franklin   Convergence in Karmarkar's algorithm for
                                  linear programming . . . . . . . . . . . 928--945
               Stephen B. Haley   Solution of Modified Matrix Equations    946--951
                    Moshe Haviv   Aggregation/Disaggregation Methods for
                                  Computing the Stationary Distribution of
                                  a Markov Chain . . . . . . . . . . . . . 952--966

SIAM Journal on Numerical Analysis
Volume 24, Number 5, October, 1987

               Marsha J. Berger   On Conservation at Grid Interfaces . . . 967--984
                 Jan Mandel and   
             Jind\vrich Ne\vcas   Convergence of finite elements for
                                  transonic potential flows  . . . . . . . 985--996
       Òystein Pettersen   The Random Choice Method: Structural
                                  Stability of a Conservation Equation in
                                  Reservoir Dynamics . . . . . . . . . . . 997--1007
         Lloyd N. Trefethen and   
             Manfred R. Trummer   An Instability Phenomenon in Spectral
                                  Methods  . . . . . . . . . . . . . . . . 1008--1023
                 Daniele Funaro   A preconditioning matrix for the
                                  Chebyshev differencing operator  . . . . 1024--1031
              Seymour V. Parter   On an estimate for the three-grid MGR
                                  multigrid method . . . . . . . . . . . . 1032--1045
             Ronald H. W. Hoppe   Multigrid Algorithms for Variational
                                  Inequalities . . . . . . . . . . . . . . 1046--1065
                R. Beauwens and   
                  M. Ben Bouzid   On Sparse Block Factorization Iterative
                                  Methods  . . . . . . . . . . . . . . . . 1066--1076
              M. C. Delfour and   
                   G. Payre and   
           J.-P. Zolésio   Approximation of nonlinear problems
                                  associated with radiating bodies in
                                  space  . . . . . . . . . . . . . . . . . 1077--1094
                     W.-J. Beyn   On the numerical approximation of phase
                                  portraits near stationary points . . . . 1095--1113
              King-Wah Eric Chu   Exclusion theorems and the perturbation
                                  analysis of the generalized eigenvalue
                                  problem  . . . . . . . . . . . . . . . . 1114--1125
                    Chi Ming Ip   On Least-Change Secant Updates in
                                  Factored Form  . . . . . . . . . . . . . 1126--1132
         Rodrigo Fontecilla and   
             Trond Steihaug and   
               Richard A. Tapia   A convergence theory for a class of
                                  quasi-Newton methods for constrained
                                  optimization . . . . . . . . . . . . . . 1133--1151
            Richard H. Byrd and   
         Robert B. Schnabel and   
               Gerald A. Shultz   A trust region algorithm for nonlinearly
                                  constrained optimization . . . . . . . . 1152--1170
            Richard H. Byrd and   
              Jorge Nocedal and   
                  Ya Xiang Yuan   Global convergence of a class of
                                  quasi-Newton methods on convex problems  1171--1190
                H. Ratschek and   
                    J. G. Rokne   Efficiency of a Global Optimization
                                  Algorithm  . . . . . . . . . . . . . . . 1191--1201
                    R. Krawczyk   Optimal enclosure of a generalized zero
                                  set of a function strip  . . . . . . . . 1202--1211
            William F. Ford and   
                     Avram Sidi   An algorithm for a generalization of the
                                  Richardson extrapolation process . . . . 1212--1232

SIAM Journal on Numerical Analysis
Volume 24, Number 6, December, 1987

              J. H. Ellison and   
                 C. A. Hall and   
                T. A. Porsching   An unconditionally stable convergent
                                  finite difference method for
                                  Navier--Stokes problems on curved
                                  domains  . . . . . . . . . . . . . . . . 1233--1248
               I. Babu\vska and   
                   J. E. Osborn   Estimates for the errors in eigenvalue
                                  and eigenvector approximation by
                                  Galerkin methods, with particular
                                  attention to the case of multiple
                                  eigenvalues  . . . . . . . . . . . . . . 1249--1276
            T. A. Porsching and   
                     M. Lin Lee   The Reduced Basis Method for Initial
                                  Value Problems . . . . . . . . . . . . . 1277--1287
                Gunter H. Meyer   Continuous orthonormalization for
                                  multipoint problems for linear ordinary
                                  differential equations . . . . . . . . . 1288--1300
               I. Babu\vska and   
                       V. Majer   The factorization method for the
                                  numerical solution of two-point boundary
                                  value problems for linear ODEs . . . . . 1301--1334
             E. L. Allgower and   
                 K. Böhmer   Application of the mesh independence
                                  principle to mesh refinement strategies  1335--1351
        Kendall E. Atkinson and   
               Florian A. Potra   Projection and iterated projection
                                  methods for nonlinear integral equations 1352--1373
               H. D. Mittelmann   On Continuation for Variational
                                  Inequalities . . . . . . . . . . . . . . 1374--1381
          Hubert Schwetlick and   
              Jürgen Cleve   Higher order predictors and adaptive
                                  steplength control in path following
                                  algorithms . . . . . . . . . . . . . . . 1382--1393
            Eugene L. Poole and   
                James M. Ortega   Multicolor ICCG Methods for Vector
                                  Computers  . . . . . . . . . . . . . . . 1394--1418
                    Rami Melhem   Determination of stripe structures for
                                  finite element matrices  . . . . . . . . 1419--1433
            Paul H. Calamai and   
           Jorge J. Moré   Quasi-Newton Updates with Bounds . . . . 1434--1441


SIAM Journal on Numerical Analysis
Volume 25, Number 1, February, 1988

             Randall J. LeVeque   Second order accuracy of Brenier's
                                  time-discrete method for nonlinear
                                  systems of conservation laws . . . . . . 1--7
               Yann Brenier and   
                  Stanley Osher   The discrete one-sided Lipschitz
                                  condition for convex scalar conservation
                                  laws . . . . . . . . . . . . . . . . . . 8--23
                  C. Canuto and   
                      D. Funaro   The Schwarz Algorithm for Spectral
                                  Methods  . . . . . . . . . . . . . . . . 24--40
              Gabriel N. Gatica   A note on the a posteriori error
                                  analysis for the finite element method   41--45
              Yonghoon Kwon and   
                Fabio A. Milner   ${L}^\infty$-error estimates for mixed
                                  methods for semilinear second-order
                                  elliptic equations . . . . . . . . . . . 46--53
              E. N. Houstis and   
              E. A. Vavalis and   
                     J. R. Rice   Convergence of ${O}(h^4)$ Cubic Spline
                                  Collocation Methods for Elliptic Partial
                                  Differential Equations . . . . . . . . . 54--74
                 E. K. Blum and   
                     G. J. Reid   On the numerical solution of
                                  three-dimensional boundary value
                                  problems by separation of variables  . . 75--90
                 Jan Mandel and   
         Steve F. McCormick and   
                   John W. Ruge   An algebraic theory for multigrid
                                  methods for variational problems . . . . 91--110
        Eugene C. Gartland, Jr.   Strong stability of compact discrete
                                  boundary value problems via exact
                                  discretizations  . . . . . . . . . . . . 111--123
                   Blair Swartz   Conditioning Collocation . . . . . . . . 124--147
                   Carl de Boor   The Condition of the B-Spline Basis for
                                  Polynomials  . . . . . . . . . . . . . . 148--152
          Thomas N. Gambill and   
                Robert D. Skeel   Logarithmic reduction of the wrapping
                                  effect with application to ordinary
                                  differential equations . . . . . . . . . 153--162
             Kenneth R. Jackson   The convergence of
                                  integrand-approximation formulas for the
                                  numerical solution of IVPs for ODEs  . . 163--188
           Robert Schreiber and   
           Beresford N. Parlett   Block Reflectors: Theory and Computation 189--205
                Chi Ming Ip and   
                Michael J. Todd   Optimal conditioning and convergence in
                                  rank one quasi-Newton updates  . . . . . 206--221
             Jarle Berntsen and   
               Terje O. Espelid   On the construction of higher degree
                                  three-dimensional embedded integration
                                  rules  . . . . . . . . . . . . . . . . . 222--234
                    R. D. Small   The generating function method of
                                  nonlinear approximation  . . . . . . . . 235--244

SIAM Journal on Numerical Analysis
Volume 25, Number 2, April, 1988

                    Pravir Dutt   Stable boundary conditions and
                                  difference schemes for Navier--Stokes
                                  equations  . . . . . . . . . . . . . . . 245--267
        Jonathan B. Goodman and   
             Randall J. LeVeque   A geometric approach to high resolution
                                  TVD schemes  . . . . . . . . . . . . . . 268--284
               R. Verfürth   Multilevel Algorithms for Mixed
                                  Problems. II. Treatment of the
                                  Mini-Element . . . . . . . . . . . . . . 285--293
                 Bernd Einfeldt   On Godunov-Type Methods for Gas Dynamics 294--318
               J. M. Sanz-Serna   A Numerical Method for a Partial
                                  Integro-Differential Equation  . . . . . 319--327
                    Sunil Kumar   A discrete collocation-type method for
                                  Hammerstein equations  . . . . . . . . . 328--341
                  Pei Xian Chen   Convergence of SIP . . . . . . . . . . . 342--350
                Alan Weiser and   
            Mary Fanett Wheeler   On convergence of block-centered finite
                                  differences for elliptic problems  . . . 351--375
           Craig C. Douglas and   
            Willard L. Miranker   Constructive Interference in Parallel
                                  Algorithms . . . . . . . . . . . . . . . 376--398
               John Gregory and   
                   Marvin Zeman   Spline matrices and their applications
                                  to some higher order methods for
                                  boundary value problems  . . . . . . . . 399--410
             Alfredo Bellen and   
                 Marino Zennaro   Stability properties of interpolants for
                                  Runge--Kutta methods . . . . . . . . . . 411--432
                 A. R. Conn and   
             N. I. M. Gould and   
                   Ph. L. Toint   Global convergence of a class of trust
                                  region algorithms for optimization with
                                  simple bounds  . . . . . . . . . . . . . 433--460
               R. Günttner   On asymptotics for the uniform norms of
                                  the Lagrange interpolation polynomials
                                  corresponding to extended Chebyshev
                                  nodes  . . . . . . . . . . . . . . . . . 461--469
                 J. Kreimer and   
               R. Y. Rubinstein   Smoothed functionals and constrained
                                  stochastic approximation . . . . . . . . 470--487

SIAM Journal on Numerical Analysis
Volume 25, Number 3, June, 1988

            John G. Heywood and   
                 Rolf Rannacher   Finite Element Approximation of the
                                  Nonstationary Navier--Stokes Problem,
                                  Part III. Smoothing Property and Higher
                                  Order Error Estimates for Spatial
                                  Discretization . . . . . . . . . . . . . 489--512
        Juan Enrique Santos and   
           Jim Douglas, Jr. and   
  Alberto Pedro Calderón   Finite element methods for a composite
                                  model in elastodynamics  . . . . . . . . 513--532
             Noel J. Walkington   Acoustic wave propagation through flows
                                  with vorticity . . . . . . . . . . . . . 533--549
               N. Ramanujam and   
           V. M. Sunanda Kumari   Method of lines for elliptic
                                  differential equations with a small
                                  parameter  . . . . . . . . . . . . . . . 550--563
              R. C. Y. Chin and   
           Thomas A. Manteuffel   An analysis of block successive
                                  overrelaxation for a class of matrices
                                  with complex spectra . . . . . . . . . . 564--585
            Stephen E. Cohn and   
                    Dick P. Dee   Observability of discretized partial
                                  differential equations . . . . . . . . . 586--617
                Paul A. Farrell   Sufficient conditions for the uniform
                                  convergence of a difference scheme for a
                                  singularly perturbed turning point
                                  problem  . . . . . . . . . . . . . . . . 618--643
        Sòren Jensen and   
                  Ivo Babu\vska   Dimensional reduction for nonlinear
                                  boundary value problems  . . . . . . . . 644--669
                     David Voss   A Fifth-Order Exponentially Fitted
                                  Formula  . . . . . . . . . . . . . . . . 670--678
              Carl D. Meyer and   
                  G. W. Stewart   Derivatives and Perturbations of
                                  Eigenvectors . . . . . . . . . . . . . . 679--691
             Rodrigo Fontecilla   Local convergence of secant methods for
                                  nonlinear constrained optimization . . . 692--712
         Giuliana Criscuolo and   
           Giuseppe Mastroianni   On the convergence of product formulas
                                  for the numerical evaluation of
                                  derivatives of Cauchy principal value
                                  integrals  . . . . . . . . . . . . . . . 713--727

SIAM Journal on Numerical Analysis
Volume 25, Number 4, August, 1988

                  M. Lenoir and   
                      A. Tounsi   The localized finite element method and
                                  its application to the two-dimensional
                                  sea-keeping problem  . . . . . . . . . . 729--752
               A. Bamberger and   
              J. C. Guillot and   
                        P. Joly   Numerical Diffraction by a Uniform Grid  753--783
        Ricardo H. Nochetto and   
                  Claudio Verdi   Approximation of Degenerate Parabolic
                                  Problems Using Numerical Integration . . 784--814
               Joseph W. Jerome   Convection-dominated nonlinear systems:
                                  analysis of the Douglas-Russell
                                  transport-diffusion algorithm based on
                                  approximate characteristics and
                                  invariant regions  . . . . . . . . . . . 815--836
               I. Babu\vska and   
                      B. Q. Guo   The $h$-$p$ version of the finite
                                  element method for domains with curved
                                  boundaries . . . . . . . . . . . . . . . 837--861
                     J. R. Cash   On the Numerical Integration of
                                  Nonlinear Two-Point Boundary Value
                                  Problems Using Iterated Deferred
                                  Corrections. Part 2: The Development and
                                  Analysis of Highly Stable Deferred
                                  Correction Formulae  . . . . . . . . . . 862--882
                I. Lasiecka and   
                    A. Manitius   Differentiability and convergence rates
                                  of approximating semigroups for retarded
                                  functional-differential equations  . . . 883--907
                  Claes Johnson   Error estimates and adaptive time-step
                                  control for a class of one-step methods
                                  for stiff ordinary differential
                                  equations  . . . . . . . . . . . . . . . 908--926
             M. A. Saunders and   
                H. D. Simon and   
                      E. L. Yip   Two conjugate-gradient-type methods for
                                  unsymmetric linear equations . . . . . . 927--940
            Robert Beauwens and   
            Mustapha Ben Bouzid   Existence and conditioning properties of
                                  sparse approximate block factorizations  941--956
                   S. R. Vatsya   Convergence of conjugate residual-like
                                  methods to solve linear equations  . . . 957--964

SIAM Journal on Numerical Analysis
Volume 25, Number 5, October, 1988

             Robert L. Pego and   
                    Denis Serre   Instabilities in Glimm's scheme for two
                                  systems of mixed type  . . . . . . . . . 965--988
        Ricardo G. Durán   On the approximation of miscible
                                  displacement in porous media by a method
                                  of characteristics combined with a mixed
                                  method . . . . . . . . . . . . . . . . . 989--1001
                   Eitan Tadmor   Convenient total variation diminishing
                                  conditions for nonlinear difference
                                  schemes  . . . . . . . . . . . . . . . . 1002--1014
                      J. T. Lin   The numerical analysis of a phase field
                                  model in moving boundary problems  . . . 1015--1031
        Ricardo G. Durán   A Note on the Convergence of Linear
                                  Finite Elements  . . . . . . . . . . . . 1032--1036
                 R. England and   
              R. M. M. Mattheij   Boundary Value Problems and Dichotomic
                                  Stability  . . . . . . . . . . . . . . . 1037--1054
                 Luca Dieci and   
         Michael R. Osborne and   
              Robert D. Russell   A Riccati transformation method for
                                  solving linear BVPs. I. Theoretical
                                  aspects  . . . . . . . . . . . . . . . . 1055--1073
                 Luca Dieci and   
         Michael R. Osborne and   
              Robert D. Russell   A Riccati transformation method for
                                  solving linear BVPs. II. Computational
                                  aspects  . . . . . . . . . . . . . . . . 1074--1092
           Paul P. B. Eggermont   On Galerkin methods for Abel-type
                                  integral equations . . . . . . . . . . . 1093--1117
               I. G. Graham and   
                 G. A. Chandler   High-order methods for linear
                                  functionals of solutions of second kind
                                  integral equations . . . . . . . . . . . 1118--1137
               C. T. Kelley and   
                 J. I. Northrup   A pointwise quasi-Newton method for
                                  integral equations . . . . . . . . . . . 1138--1155
             Loyce M. Adams and   
         Randall J. LeVeque and   
                 David M. Young   Analysis of the SOR iteration for the
                                  $9$-point Laplacian  . . . . . . . . . . 1156--1180
                     Guangye Li   The Secant/Finite Difference Algorithm
                                  for Solving Sparse Nonlinear Systems of
                                  Equations  . . . . . . . . . . . . . . . 1181--1196
             James V. Burke and   
           Jorge J. Moré   On the Identification of Active
                                  Constraints  . . . . . . . . . . . . . . 1197--1211

SIAM Journal on Numerical Analysis
Volume 25, Number 6, December, 1988

             Daniele Funaro and   
           Alfio Quarteroni and   
                  Paola Zanolli   An iterative procedure with interface
                                  relaxation for domain decomposition
                                  methods  . . . . . . . . . . . . . . . . 1213--1236
         Christine Bernardi and   
             Claudio Canuto and   
                     Yvon Maday   Generalized inf-sup conditions for
                                  Chebyshev spectral approximation of the
                                  Stokes problem . . . . . . . . . . . . . 1237--1271
         John C. Strikwerda and   
                  Bruce A. Wade   An Extension of the Kreiss Matrix
                                  Theorem  . . . . . . . . . . . . . . . . 1272--1278
          J. A. C. Weideman and   
             Lloyd N. Trefethen   The eigenvalues of second-order spectral
                                  differentiation matrices . . . . . . . . 1279--1298
               Thomas Kerkhoven   A spectral analysis of the decoupling
                                  algorithm for semiconductor simulation   1299--1312
               Andreas Neubauer   An a posteriori parameter choice for
                                  Tikhonov regularization in Hilbert
                                  scales leading to optimal convergence
                                  rates  . . . . . . . . . . . . . . . . . 1313--1326
                David R. Dellwo   Accelerated refinement with applications
                                  to integral equations  . . . . . . . . . 1327--1339
                Jesse L. Barlow   Error analysis and implementation
                                  aspects of deferred correction for
                                  equality constrained least squares
                                  problems . . . . . . . . . . . . . . . . 1340--1358
                 Lothar Reichel   Polynomials by conformal mapping for the
                                  Richardson iteration method for complex
                                  linear systems . . . . . . . . . . . . . 1359--1368
                Daniel B. Szyld   Criteria for combining inverse and
                                  Rayleigh quotient iteration  . . . . . . 1369--1375
                R. A. Tapia and   
               David L. Whitley   The projected Newton method has order
                                  $1+\sqrt2$ for the symmetric eigenvalue
                                  problem  . . . . . . . . . . . . . . . . 1376--1382
               Moody T. Chu and   
                Larry K. Norris   Isospectral Flows and Abstract Matrix
                                  Factorizations . . . . . . . . . . . . . 1383--1391
                      P. Kunkel   Quadratically convergent methods for the
                                  computation of unfolded singularities    1392--1408
             Francis Conrad and   
          Rapha\`ele Herbin and   
             Hans D. Mittelmann   Approximation of obstacle problems by
                                  continuation methods . . . . . . . . . . 1409--1431
                 R. Manohar and   
           J. W. Stephenson and   
                   G. M. Trojan   Nine-Node Triangular Cubic Elements  . . 1432--1441
              M. J. Shelley and   
                    G. R. Baker   Order-preserving approximations to
                                  successive derivatives of periodic
                                  functions by iterated splines  . . . . . 1442--1452
           T. N. T. Goodman and   
                    K. Unsworth   Shape-preserving interpolation by
                                  parametrically defined curves  . . . . . 1453--1465


SIAM Journal on Numerical Analysis
Volume 26, Number 1, February, 1989

                Hillel Tal-Ezer   Spectral Methods in Time for Parabolic
                                  Problems . . . . . . . . . . . . . . . . 1--11
                  Todd Arbogast   Analysis of the simulation of single
                                  phase flow through a naturally fractured
                                  reservoir  . . . . . . . . . . . . . . . 12--29
                   Eitan Tadmor   Convergence of spectral methods for
                                  nonlinear conservation laws  . . . . . . 30--44
              Hans Babovsky and   
                Reinhard Illner   A convergence proof for Nanbu's
                                  simulation method for the full Boltzmann
                                  equation . . . . . . . . . . . . . . . . 45--65
             Mohammad Asadzadeh   ${L}_p$ and Eigenvalue Error Estimates
                                  for the Discrete Ordinates Method for
                                  Two-Dimensional Neutron Transport  . . . 66--87
                E. J. Allen and   
         H. D. Victory, Jr. and   
                     K. Ganguly   On the convergence of finite-differenced
                                  multigroup, discrete-ordinates methods
                                  for anisotropically scattering slab
                                  media  . . . . . . . . . . . . . . . . . 88--106
        Nicholas Ian Mark Gould   On the convergence of a sequential
                                  penalty function method for constrained
                                  minimization . . . . . . . . . . . . . . 107--128
              C.-C. Jay Kuo and   
                Bernard C. Levy   A Two-Level Four-Color
                                  $\operatorname{SOR}$ Method  . . . . . . 129--151
                M. Eiermann and   
                      X. Li and   
                    R. S. Varga   On Hybrid Semi-Iterative Methods . . . . 152--168
                   V. Ervin and   
                      W. Layton   An analysis of a defect-correction
                                  method for a model convection-diffusion
                                  equation . . . . . . . . . . . . . . . . 169--179
         Ewa B. Weinmüller   Stability of singular boundary value
                                  problems and their discretization by
                                  finite differences . . . . . . . . . . . 180--213
       P. J. van der Houwen and   
                B. P. Sommeijer   Phase-Lag Analysis of Implicit
                                  Runge--Kutta Methods . . . . . . . . . . 214--229
              R. E. Carlson and   
                  F. N. Fritsch   An algorithm for monotone piecewise
                                  bicubic interpolation  . . . . . . . . . 230--238
                    Zong Ben Xu   A computational ball test for the
                                  existence of solutions to nonlinear
                                  operator equations . . . . . . . . . . . 239--248

SIAM Journal on Numerical Analysis
Volume 26, Number 2, April, 1989

             Keshab Ganguly and   
             H. D. Victory, Jr.   On the convergence of particle methods
                                  for multidimensional Vlasov--Poisson
                                  systems  . . . . . . . . . . . . . . . . 249--288
        Björn Engquist and   
                  Thomas Y. Hou   Particle Method Approximation of
                                  Oscillatory Solutions to Hyperbolic
                                  Differential Equations . . . . . . . . . 289--319
        R. A. Renaut-Williamson   Semidiscretisations of $u_{tt} = u_{xx}$
                                  and Rational Approximations to $(\ln
                                  z)^2$  . . . . . . . . . . . . . . . . . 320--337
        R. A. Renaut-Williamson   Full Discretisations of $u_{tt} =
                                  u_{xx}$ and Rational Approximations to
                                  $\cosh \mu z$  . . . . . . . . . . . . . 338--347
                   Stig Larsson   The long-time behavior of finite-element
                                  approximations of solutions to
                                  semilinear parabolic problems  . . . . . 348--365
                 P. Lesaint and   
                     R. Touzani   Approximation of the heat equation in a
                                  variable domain with application to the
                                  Stefan problem . . . . . . . . . . . . . 366--379
                David E. Womble   A front-tracking method for multiphase
                                  free boundary problems . . . . . . . . . 380--396
              Kevin Burrage and   
                   Fred Chipman   Construction of ${A}$-stable diagonally
                                  implicit multivalue methods  . . . . . . 397--413
       P. J. van der Houwen and   
                B. P. Sommeijer   Diagonally Implicit Runge--Kutta--Nyström
                                  Methods for Oscillatory Problems . . . . 414--429
           Apostolos Gerasoulis   Nyström's iterative variant methods for
                                  the solution of Cauchy singular integral
                                  equations  . . . . . . . . . . . . . . . 430--441
                  Martin Stynes   An adaptive uniformly convergent
                                  numerical method for a semilinear
                                  singular perturbation problem  . . . . . 442--455
                Michael Lautsch   A Spline Inversion Formula for the Radon
                                  Transform  . . . . . . . . . . . . . . . 456--467
     François Dubeau and   
                    Jean Savoie   Développements Asymptotiques de Fonctions
                                  Splines avec Partage Uniforme de la
                                  Droite Réelle. (French) [Asymptotic
                                  expansions of spline functions with
                                  uniform partition of the real line]  . . 468--479
              R. K. Beatson and   
                   H. Wolkowicz   Post-Processing Piecewise Cubics for
                                  Monotonicity . . . . . . . . . . . . . . 480--502
                Raymond H. Chan   The spectrum of a family of circulant
                                  preconditioned Toeplitz systems  . . . . 503--506

SIAM Journal on Numerical Analysis
Volume 26, Number 3, June, 1989

               C. Ringhofer and   
                   C. Schmeiser   An approximate Newton method for the
                                  solution of the basic semiconductor
                                  device equations . . . . . . . . . . . . 507--516
                     Uri Ascher   On numerical differential algebraic
                                  problems with application to
                                  semiconductor device simulation  . . . . 517--538
Irene Martínez Gamba and   
       Maria Cristina J. Squeff   Simulation of the transient behavior of
                                  a one-dimensional semiconductor device.
                                  II . . . . . . . . . . . . . . . . . . . 539--552
        Vidar Thomée and   
                Jin Chao Xu and   
                 Nai Ying Zhang   Superconvergence of the Gradient in
                                  Piecewise Linear Finite-Element
                                  Approximation to a Parabolic Problem . . 553--573
                     Y. Yan and   
                    I. H. Sloan   Mesh grading for integral equations of
                                  the first kind with logarithmic kernel   574--587
                  W. H. Enright   Analysis of error control strategies for
                                  continuous Runge--Kutta methods  . . . . 588--599
              Paul T. Boggs and   
                   Jon W. Tolle   A strategy for global convergence in a
                                  sequential quadratic programming
                                  algorithm  . . . . . . . . . . . . . . . 600--623
            Steve Batterson and   
                   John Smillie   The Dynamics of Rayleigh Quotient
                                  Iteration  . . . . . . . . . . . . . . . 624--636
         E. P. Papadopoulou and   
            Y. G. Saridakis and   
            T. S. Papatheodorou   Block AOR iterative schemes for
                                  large-scale least-squares problems . . . 637--660
               Hartmut Schwandt   Cyclic reduction for tridiagonal systems
                                  of equations with interval coefficients
                                  on vector computers  . . . . . . . . . . 661--680
            Larkin B. Scott and   
               L. Ridgway Scott   Efficient Methods for Data Smoothing . . 681--692
         Richard H. Bartels and   
             Andrew R. Conn and   
                      Yuying Li   Primal methods are better than dual
                                  methods for solving overdetermined
                                  linear systems in the ${L}_\infty$ sense 693--726
            Richard H. Byrd and   
                  Jorge Nocedal   A tool for the analysis of quasi-Newton
                                  methods with application to
                                  unconstrained minimization . . . . . . . 727--739
          Miodrag S. Petkovi\'c   On Halley-like algorithms for
                                  simultaneous approximation of polynomial
                                  complex zeros  . . . . . . . . . . . . . 740--763
                 A. R. Conn and   
             N. I. M. Gould and   
                   Ph. L. Toint   Correction to the Paper on ``Global
                                  Convergence of a Class of Trust Region
                                  Algorithms for Optimization with Simple
                                  Bounds'' [SIAM J. Numer. Anal. \bf 25
                                  (1988), no. 2, 433--460, MR 89h:90192]   764--767

SIAM Journal on Numerical Analysis
Volume 26, Number 4, August, 1989

         Christine Bernardi and   
                     Yvon Maday   Properties of some weighted Sobolev
                                  spaces and application to spectral
                                  approximations . . . . . . . . . . . . . 769--829
                     J. P. Vila   An analysis of a class of second-order
                                  accurate Godunov-type schemes  . . . . . 830--853
                 Yvon Maday and   
                   Eitan Tadmor   Analysis of the spectral vanishing
                                  viscosity method for periodic
                                  conservation laws  . . . . . . . . . . . 854--870
            J. F. Colombeau and   
               A. Y. LeRoux and   
                A. Noussair and   
                      B. Perrot   Microscopic profiles of shock waves and
                                  ambiguities in multiplications of
                                  distributions  . . . . . . . . . . . . . 871--883
         Charles M. Elliott and   
               Donald A. French   A nonconforming finite-element method
                                  for the two-dimensional Cahn--Hilliard
                                  equation . . . . . . . . . . . . . . . . 884--903
           James H. Bramble and   
           Richard E. Ewing and   
                        Gang Li   Alternating direction multistep methods
                                  for parabolic problems --- iterative
                                  stabilization  . . . . . . . . . . . . . 904--919
               L. Greenberg and   
                   I. Babu\vska   A continuous analogue of Sturm sequences
                                  in the context of Sturm--Liouville
                                  equations  . . . . . . . . . . . . . . . 920--945
                   M. Calvo and   
                 F. Lisbona and   
                   J. Montijano   On the stability of interpolatory
                                  variable-stepsize Adams methods in
                                  Nordsieck form . . . . . . . . . . . . . 946--962
                   Michel Roche   Implicit Runge--Kutta methods for
                                  differential algebraic equations . . . . 963--975
          Kathryn E. Brenan and   
               Linda R. Petzold   The Numerical Solution of Higher Index
                                  Differential/Algebraic Equations by
                                  Implicit Methods . . . . . . . . . . . . 976--996
             Larry L. Schumaker   On Super Splines and Finite Elements . . 997--1005
            Donald Goldfarb and   
                Sanjay Mehrotra   A self-correcting version of Karmarkar's
                                  algorithm  . . . . . . . . . . . . . . . 1006--1015
                   Werner Queck   The convergence factor of preconditioned
                                  algorithms of the Arrow-Hurwicz type . . 1016--1030

SIAM Journal on Numerical Analysis
Volume 26, Number 5, October, 1989

                 Vitoriano Ruas   Existence and stability of asymmetric
                                  finite-element approximations in
                                  nonlinear incompressible analysis  . . . 1031--1059
         Russel E. Caflisch and   
              John S. Lowengrub   Convergence of the Vortex Method for
                                  Vortex Sheets  . . . . . . . . . . . . . 1060--1080
                   J. E. Lavery   Solution of steady-state one-dimensional
                                  conservation laws by mathematical
                                  programming  . . . . . . . . . . . . . . 1081--1089
                C. I. Goldstein   Analysis and application of multigrid
                                  preconditioners for singularly perturbed
                                  boundary value problems  . . . . . . . . 1090--1123
             Susanne C. Brenner   An optimal-order nonconforming multigrid
                                  method for the biharmonic equation . . . 1124--1138
             Martine Marion and   
                    Roger Temam   Nonlinear Galerkin Methods . . . . . . . 1139--1157
                K. Strehmel and   
                  R. Weiner and   
                       H. Claus   Stability analysis of linearly implicit
                                  one-step interpolation methods for stiff
                                  retarded differential equations  . . . . 1158--1174
              Desmond J. Higham   Robust Defect Control with Runge--Kutta
                                  Schemes  . . . . . . . . . . . . . . . . 1175--1183
                David R. Dellwo   Accelerated spectral refinement with
                                  applications to integral operators . . . 1184--1193
               Bernard Bialecki   Sinc-Nyström method for numerical
                                  solution of a dominant system of Cauchy
                                  singular integral equations given on a
                                  piecewise smooth contour . . . . . . . . 1194--1211
             Christine Bernardi   Optimal finite-element interpolation on
                                  curved domains . . . . . . . . . . . . . 1212--1240
                   T. Y. Li and   
                  Tim Sauer and   
                    J. A. Yorke   The cheater's homotopy: an efficient
                                  procedure for solving systems of
                                  polynomial equations . . . . . . . . . . 1241--1251
             Nicholas J. Higham   The Accuracy of Solutions to Triangular
                                  Systems  . . . . . . . . . . . . . . . . 1252--1265
         Richard H. Bartels and   
             Andrew R. Conn and   
                      Yuying Li   Erratum: ``Primal methods are better
                                  than dual methods for solving
                                  overdetermined linear systems in the
                                  ${L}_\infty$ sense?'' [SIAM J. Numer.
                                  Anal. 26 (1989), no. 3, 693--726]  . . . 1266--1266

SIAM Journal on Numerical Analysis
Volume 26, Number 6, December, 1989

           James H. Bramble and   
                    Jin Chao Xu   A local post-processing technique for
                                  improving the accuracy in mixed
                                  finite-element approximations  . . . . . 1267--1275
          Douglas N. Arnold and   
                Richard S. Falk   A uniformly accurate finite element
                                  method for the Reissner--Mindlin plate   1276--1290
  Marie-Noëlle Le Roux and   
            Vidar Thomée   Numerical Solution of Semilinear
                                  Integrodifferential Equations of
                                  Parabolic Type with Nonsmooth Data . . . 1291--1309
                San Yih Lin and   
                Mitchell Luskin   Relaxation Methods for Liquid Crystal
                                  Problems . . . . . . . . . . . . . . . . 1310--1324
              Bernardo Cockburn   Quasimonotone Schemes for Scalar
                                  Conservation Laws. Part I  . . . . . . . 1325--1341
              Franco Brezzi and   
     Luisa Donatella Marini and   
                   Paola Pietra   Two-dimensional exponential fitting and
                                  applications to drift-diffusion models   1342--1355
        Claes G. L. Johnson and   
               L. Ridgway Scott   An analysis of quadrature errors in
                                  second-kind boundary integral methods    1356--1382
           Randolph E. Bank and   
               L. Ridgway Scott   On the conditioning of finite element
                                  equations with highly refined meshes . . 1383--1394
    Ricardo G. Durán and   
            Ricardo H. Nochetto   Pointwise accuracy of a stable
                                  Petrov--Galerkin approximation to the
                                  Stokes problem . . . . . . . . . . . . . 1395--1406
J.-C. Nédélec and   
                        S. Wolf   Homogenization of the problem of eddy
                                  currents in a transformer core . . . . . 1407--1424
                 E. Magenes and   
                   C. Verdi and   
                    A. Visintin   Theoretical and numerical results on the
                                  two-phase Stefan problem . . . . . . . . 1425--1438
           Craig C. Douglas and   
                 Barry F. Smith   Using symmetries and antisymmetries to
                                  analyze a parallel multigrid algorithm:
                                  the elliptic boundary value problem case 1439--1461
       S. V. Krishnamachari and   
                L. J. Hayes and   
                  T. F. Russell   A finite element alternating-direction
                                  method combined with a modified method
                                  of characteristics for
                                  convection-diffusion problems  . . . . . 1462--1473
              Todd Arbogast and   
                Fabio A. Milner   A finite difference method for a two-sex
                                  model of population dynamics . . . . . . 1474--1486
               C. N. Dawson and   
              T. F. Russell and   
                  M. F. Wheeler   Some improved error estimates for the
                                  modified method of characteristics . . . 1487--1512
           Richard E. Ewing and   
               Yi Rang Yuan and   
                        Gang Li   Timestepping along characteristics for a
                                  mixed finite-element approximation for
                                  compressible flow of contamination from
                                  nuclear waste in porous media  . . . . . 1513--1524
             Joachim A. Nitsche   Finite-Element Methods for Conformal
                                  Mappings . . . . . . . . . . . . . . . . 1525--1533
               I. Babu\vska and   
                  B. Q. Guo and   
                   J. E. Osborn   Regularity and numerical solution of
                                  eigenvalue problems with piecewise
                                  analytic data  . . . . . . . . . . . . . 1534--1560


SIAM Journal on Numerical Analysis
Volume 27, Number 1, February, 1990

                   Qiang Du and   
              Max D. Gunzburger   Finite-Element Approximations of a
                                  Ladyzhenskaya Model for Stationary
                                  Incompressible Viscous Flow  . . . . . . 1--19
      J. C. López Marcos   A Difference Scheme for a Nonlinear
                                  Partial Integrodifferential Equation . . 20--31
            Christian Ringhofer   A Spectral Method for the Numerical
                                  Simulation of Quantum Tunneling
                                  Phenomena  . . . . . . . . . . . . . . . 32--50
            Bernhard A. Schmitt   An Algebraic Approximation for the
                                  Matrix Exponential in Singularly
                                  Perturbed Boundary Value Problems  . . . 51--66
                W. Auzinger and   
                   R. Frank and   
                      F. Macsek   Asymptotic Error Expansions for Stiff
                                  Equations: The Implicit Euler Scheme . . 67--104
            Andreas Frommer and   
              Günter Mayer   On the ${R}$-order of Newton-like
                                  methods for enclosing solutions of
                                  nonlinear equations  . . . . . . . . . . 105--116
             S. Ghaderpanah and   
                       S. Klasa   Polynomial Scaling . . . . . . . . . . . 117--135
                  Didier El Baz   ${M}$-Functions and Parallel
                                  Asynchronous Algorithms  . . . . . . . . 136--140
                Richard H. Byrd   On the Convergence of Constrained
                                  Optimization Methods with Accurate
                                  Hessian Information on a Subspace  . . . 141--153
             Rodrigo Fontecilla   Inexact Secant Methods for Nonlinear
                                  Constrained Optimization . . . . . . . . 154--165
                Paul Levrie and   
               Adhemar Bultheel   Convergence Acceleration for the
                                  Numerical Solution of Second-Order
                                  Linear Recurrence Relations  . . . . . . 166--177
                    Naoki Osada   A Convergence Acceleration Method for
                                  Some Logarithmically Convergent
                                  Sequences  . . . . . . . . . . . . . . . 178--189
           F. Wesley Wilson and   
           R. Kent Goodrich and   
                  Wendy Spratte   Lawson's Triangulation is Nearly Optimal
                                  for Controlling Error Bounds . . . . . . 190--197
                 M. Nooijen and   
                G. te Velde and   
                 E. J. Baerends   Symmetric Numerical Integration Formulas
                                  for Regular Polygons . . . . . . . . . . 198--218
            Walter Gautschi and   
             E. Tychopoulos and   
                    R. S. Varga   A Note on the Contour Integral
                                  Representation of the Remainder Term for
                                  a Gauss--Chebyshev Quadrature Rule . . . 219--224
                Elias Masry and   
              Stamatis Cambanis   Trapezoidal Monte Carlo Integration  . . 225--246
              Bernardo Cockburn   Quasimonotone Schemes for Scalar
                                  Conservation Laws. Part II . . . . . . . 247--258
              Bernardo Cockburn   Quasimonotone Schemes for Scalar
                                  Conservation Laws. Part III  . . . . . . 259--276

SIAM Journal on Numerical Analysis
Volume 27, Number 2, April, 1990

              Claes Johnson and   
                Yi-Yong Nie and   
            Vidar Thomée   An A Posteriori Error Estimate and
                                  Adaptive Timestep Control for a Backward
                                  Euler Discretization of a Parabolic
                                  Problem  . . . . . . . . . . . . . . . . 277--291
         John C. Strikwerda and   
              Bruce A. Wade and   
                Kenneth P. Bube   Regularity Estimates up to the Boundary
                                  for Elliptic Systems of Difference
                                  Equations  . . . . . . . . . . . . . . . 292--322
            Alain Bamberger and   
               Patrick Joly and   
                Jean E. Roberts   Second-Order Absorbing Boundary
                                  Conditions for the Wave Equation: A
                                  Solution for the Corner Problem  . . . . 323--352
            John G. Heywood and   
                 Rolf Rannacher   Finite-Element Approximation of the
                                  Nonstationary Navier--Stokes Problem.
                                  Part IV: Error Analysis for Second-Order
                                  Time Discretization  . . . . . . . . . . 353--384
             Stephen L. Keeling   On Lipschitz Continuity of Nonlinear
                                  Differential Operators . . . . . . . . . 385--393
             Stephen L. Keeling   Galerkin/Runge--Kutta Discretizations
                                  for Semilinear Parabolic Equations . . . 394--418
               Donald A. French   On the Convergence of Finite-Element
                                  Approximations of a Relaxed Variational
                                  Problem  . . . . . . . . . . . . . . . . 419--436
                Rui-Xiu Dai and   
           Werner C. Rheinboldt   On the Computation of Manifolds of
                                  Foldpoints for Parameter-Dependent
                                  Problems . . . . . . . . . . . . . . . . 437--446
              Kevin Burrage and   
                  Linda Petzold   On Order Reduction for Runge--Kutta
                                  Methods Applied to
                                  Differential/Algebraic Systems and to
                                  Stiff Systems of ODEs  . . . . . . . . . 447--456
                  Wilson C. Obi   Error Analysis of a Laplace Transform
                                  Inversion Procedure  . . . . . . . . . . 457--469
               John Gregory and   
                     R. S. Wang   Discrete Variable Methods for the
                                  $m$-Dependent Variable, Nonlinear
                                  Extremal Problem in the Calculus of
                                  Variations . . . . . . . . . . . . . . . 470--487
           Paolo Costantini and   
           Ferruccio Fontanella   Shape-Preserving Bivariate Interpolation 488--506
               Rembert Reemtsen   Modifications of the First Remez
                                  Algorithm  . . . . . . . . . . . . . . . 507--518
    Rui J. P. de Figueiredo and   
                  Guanrong Chen   $\operatorname{PDL}_g$ Splines Defined
                                  by Partial Differential Operators with
                                  Initial and Boundary Value Conditions    519--528
                   J. E. Romate   Local error analysis of
                                  three-dimensional panel methods in terms
                                  of curvilinear surface coordinates . . . 529--542
                  Dwight Diener   Instability in the Dimension of Spaces
                                  of Bivariate Piecewise Polynomials of
                                  Degree $2r$ and Smoothness Order $r$ . . 543--551

SIAM Journal on Numerical Analysis
Volume 27, Number 3, June, 1990

               P. N. Childs and   
                   K. W. Morton   Characteristic Galerkin Methods for
                                  Scalar Conservation Laws in One
                                  Dimension  . . . . . . . . . . . . . . . 553--594
               J. R. Cannon and   
                    Yanping Lin   A priori ${L}^2$ error estimates for
                                  finite-element methods for nonlinear
                                  diffusion equations with memory  . . . . 595--607
                    Yanping Lin   Galerkin Methods for Nonlinear Parabolic
                                  Integrodifferential Equations with
                                  Nonlinear Boundary Conditions  . . . . . 608--621
                  V. Vanaja and   
                  R. B. Kellogg   Iterative Methods for a Forward-Backward
                                  Heat Equation  . . . . . . . . . . . . . 622--635
              Zhi Qiang Cai and   
                Steve McCormick   On the Accuracy of the Finite Volume
                                  Element Method for Diffusion Equations
                                  on Composite Grids . . . . . . . . . . . 636--655
       Thomas A. Manteuffel and   
              Seymour V. Parter   Preconditioning and Boundary Conditions  656--694
                 Daniele Funaro   A Variational Formulation for the
                                  Chebyshev Pseudospectral Approximation
                                  of Neumann Problems  . . . . . . . . . . 695--703
          Douglas H. Irvine and   
            Michael A. Savageau   Efficient Solution of Nonlinear Ordinary
                                  Differential Equations Expressed in
                                  S-System Canonical Form  . . . . . . . . 704--735
         Roger K. Alexander and   
                 James J. Coyle   Runge--Kutta Methods and
                                  Differential-Algebraic Systems . . . . . 736--752
              J. C. Butcher and   
                     J. R. Cash   Towards Efficient Runge--Kutta Methods
                                  for Stiff Systems  . . . . . . . . . . . 753--761
               Jesse Barlow and   
                   James Demmel   Computing Accurate Eigensystems of
                                  Scaled Diagonally Dominant Matrices  . . 762--791
        Lalita N. Deshpande and   
             Balmohan V. Limaye   On the Stability of Singular Finite Rank
                                  Methods  . . . . . . . . . . . . . . . . 792--803
              R. Baker Kearfott   Preconditioners for the Interval
                                  Gauss--Seidel Method . . . . . . . . . . 804--822
        Timothy N. Phillips and   
           Andreas Karageorghis   On the Coefficients of Integrated
                                  Expansions of Ultraspherical Polynomials 823--830

SIAM Journal on Numerical Analysis
Volume 27, Number 4, August, 1990

               Robert L. Higdon   Radiation Boundary Conditions for
                                  Elastic Wave Propagation . . . . . . . . 831--869
              Eduard Harabetian   A Numerical Method for Viscous
                                  Perturbations of Hyperbolic Conservation
                                  Laws . . . . . . . . . . . . . . . . . . 870--884
                        P. Dutt   Spectral Methods for Initial Boundary
                                  Value Problems --- An Alternative
                                  Approach . . . . . . . . . . . . . . . . 885--903
                 Bengt Fornberg   High-Order Finite Differences and the
                                  Pseudospectral Method on Staggered Grids 904--918
              Stanley Osher and   
                Leonid I. Rudin   Feature-Oriented Image Enhancement Using
                                  Shock Filters  . . . . . . . . . . . . . 919--940
               Michael Mascagni   The Backward Euler Method for Numerical
                                  Solution of the Hodgkin--Huxley
                                  Equations of Nerve Conduction  . . . . . 941--962
     Christoph Börgers and   
                Olof B. Widlund   On Finite Element Domain Imbedding
                                  Methods  . . . . . . . . . . . . . . . . 963--978
                  D. Braess and   
               R. Verfürth   Multigrid Methods for Nonconforming
                                  Finite Element Methods . . . . . . . . . 979--986
                Hermann Brunner   On the Numerical Solution of Nonlinear
                                  Volterra--Fredholm Integral Equations by
                                  Collocation Methods  . . . . . . . . . . 987--1000
                 M. Lentini and   
                   R. März   The Conditioning of Boundary Value
                                  Problems in Transferable
                                  Differential-Algebraic Equations . . . . 1001--1015
               John C. Clements   Convexity-Preserving Piecewise Rational
                                  Cubic Interpolation  . . . . . . . . . . 1016--1023
                 R. Hettich and   
                      P. Zencke   An Algorithm for General Restricted
                                  Rational Chebyshev Approximation . . . . 1024--1033
José Mario Martínez   A Family of Quasi-Newton Methods for
                                  Nonlinear Equations with Direct Secant
                                  Updates of Matrix Factorizations . . . . 1034--1049
               Moody T. Chu and   
            Kenneth R. Driessel   The Projected Gradient Method for Least
                                  Squares Matrix Approximations with
                                  Spectral Constraints . . . . . . . . . . 1050--1060
               William W. Hager   Multiplier Methods for Nonlinear Optimal
                                  Control  . . . . . . . . . . . . . . . . 1061--1080
                      Jim Burke   On the Identification of Active
                                  Constraints II: The Nonconvex Case . . . 1081--1102

SIAM Journal on Numerical Analysis
Volume 27, Number 5, October, 1990

         François Dubois   Discrete Vector Potential Representation
                                  of a Divergence-Free Vector Field in
                                  Three-Dimensional Domains: Numerical
                                  Analysis of a Model Problem  . . . . . . 1103--1141
                    S. Schochet   The Rate of Convergence of
                                  Spectral-Viscosity Methods for Periodic
                                  Scalar Conservation Laws . . . . . . . . 1142--1159
  Giovanni Sacchi Landriani and   
          Hervé Vandeven   Error Estimates for the Spectral
                                  Approximation of the Nonstationary
                                  Stokes Problem . . . . . . . . . . . . . 1160--1186
         Christoph Börgers   A Triangulation Algorithm for Fast
                                  Elliptic Solvers Based on Domain
                                  Imbedding  . . . . . . . . . . . . . . . 1187--1196
           Ching-Lung Chang and   
              Max D. Gunzburger   A Subdomain Galerkin/Least Squares
                                  Method for First-Order Elliptic Systems
                                  in the Plane . . . . . . . . . . . . . . 1197--1211
            Martin Costabel and   
               Ernst P. Stephan   Coupling of Finite and Boundary Element
                                  Methods for an Elastoplastic Interface
                                  Problem  . . . . . . . . . . . . . . . . 1212--1226
            Homer F. Walker and   
                Layne T. Watson   Least-Change Secant Update Methods for
                                  Underdetermined Systems  . . . . . . . . 1227--1262
            Samih K. Bourji and   
                Homer F. Walker   Least-Change Secant Updates of Nonsquare
                                  Matrices . . . . . . . . . . . . . . . . 1263--1294
               D. W. Lozier and   
                 F. W. J. Olver   Closure and Precision in Level-Index
                                  Arithmetic . . . . . . . . . . . . . . . 1295--1304
                A. K. Cline and   
                    R. J. Renka   A Constrained Two-Dimensional
                                  Triangulation and the Solution of
                                  Closest Node Problems in the Presence of
                                  Barriers . . . . . . . . . . . . . . . . 1305--1321
              P. Vértesi   Optimal Lebesgue Constant for Lagrange
                                  Interpolation  . . . . . . . . . . . . . 1322--1331
                   J. H. Verner   A Contrast of Some Runge--Kutta Formula
                                  Pairs  . . . . . . . . . . . . . . . . . 1332--1344
                  Davis K. Cope   Convergence of Piessens' Method for
                                  Numerical Inversion of the Laplace
                                  Transform on the Real Line . . . . . . . 1345--1354
                       Y. Ritov   The Convergence of an Algorithm for
                                  Finding the Distance Between a Ball in a
                                  Subspace and a Sum of Subspaces  . . . . 1355--1367
              King-Wah Eric Chu   On Multiple Eigenvalues of Matrices
                                  Depending on Several Parameters  . . . . 1368--1385

SIAM Journal on Numerical Analysis
Volume 27, Number 6, December, 1990

                  Thomas Y. Hou   Convergence of a Variable Blob Vortex
                                  Method for the Euler and Navier--Stokes
                                  Equations  . . . . . . . . . . . . . . . 1387--1404
                    B. Perthame   Boltzmann Type Schemes for Gas Dynamics
                                  and the Entropy Property . . . . . . . . 1405--1421
             Peter K. Moore and   
             Joseph E. Flaherty   A Local Refinement Finite-Element Method
                                  for One-Dimensional Parabolic Systems    1422--1444
                  Jukka Saranen   Projection Methods for a Class of
                                  Hammerstein Equations  . . . . . . . . . 1445--1449
                 P. Peisker and   
                    W. Rust and   
                       E. Stein   Iterative Solution Methods for Plate
                                  Bending Problems: Multigrid and
                                  Preconditioned cg Algorithm  . . . . . . 1450--1465
             Garth A. Baker and   
          Wadi N. Jureidini and   
         Ohannes A. Karakashian   Piecewise Solenoidal Vector Fields and
                                  the Stokes Problem . . . . . . . . . . . 1466--1485
            Richard S. Falk and   
                 Mary E. Morley   Equivalence of Finite Element Methods
                                  for Problems in Elasticity . . . . . . . 1486--1505
             L. F. Shampine and   
                       W. Zhang   Rate of Convergence of Multistep Codes
                                  Started by Variation of Order and
                                  Stepsize . . . . . . . . . . . . . . . . 1506--1518
                 M. Lentini and   
                   R. März   Conditioning and Dichotomy in
                                  Differential Algebraic Equations . . . . 1519--1526
                     C. W. Gear   Differential algebraic equations,
                                  indices, and integral algebraic
                                  equations  . . . . . . . . . . . . . . . 1527--1534
                     Q. Lin and   
                I. H. Sloan and   
                         R. Xie   Extrapolation of the
                                  Iterated-Collocation Method for Integral
                                  Equations of the Second Kind . . . . . . 1535--1541
            Steven F. Ashby and   
       Thomas A. Manteuffel and   
                 Paul E. Saylor   A Taxonomy for Conjugate Gradient
                                  Methods  . . . . . . . . . . . . . . . . 1542--1568
                O. Axelsson and   
              P. S. Vassilevski   Algebraic Multilevel Preconditioning
                                  Methods, II  . . . . . . . . . . . . . . 1569--1590
                O. Axelsson and   
                  L. Kolotilina   Monotonicity and Discretization Error
                                  Estimates  . . . . . . . . . . . . . . . 1591--1611
                 Lois Mansfield   On the Conjugate Gradient Solution of
                                  the Schur Complement System Obtained
                                  from Domain Decomposition  . . . . . . . 1612--1620
     Cristina Gígola and   
            Susana Gómez   A Regularization Method for Solving the
                                  Finite Convex Min-Max Problem  . . . . . 1621--1634
             Finbarr O'Sullivan   Convergence Characteristics of Methods
                                  of Regularization Estimators for
                                  Nonlinear Operator Equations . . . . . . 1635--1649


SIAM Journal on Numerical Analysis
Volume 28, Number 1, February, 1991

             Robert Glassey and   
                 Jack Schaeffer   Convergence of a Particle Method for the
                                  Relativistic Vlasov--Maxwell System  . . 1--25
                   F. Coron and   
                    B. Perthame   Numerical Passage from Kinetic to Fluid
                                  Equations  . . . . . . . . . . . . . . . 26--42
           Kenneth Eriksson and   
                  Claes Johnson   Adaptive Finite Element Methods for
                                  Parabolic Problems. I: A Linear Model
                                  Problem  . . . . . . . . . . . . . . . . 43--77
            Roger Zarnowski and   
                     David Hoff   A Finite-Difference Scheme for the
                                  Navier--Stokes Equations of
                                  One-Dimensional, Isentropic,
                                  Compressible Flow  . . . . . . . . . . . 78--112
                 Ben-Yu Guo and   
                     He-Ping Ma   A Pseudospectral Finite-Element Method
                                  for Solving Two-Dimensional Vorticity
                                  Equations  . . . . . . . . . . . . . . . 113--132
               Todd E. Peterson   A Note on the Convergence of the
                                  Discontinuous Galerkin Method for a
                                  Scalar Hyperbolic Equation . . . . . . . 133--140
                 John E. Lavery   Solution of Steady-State,
                                  Two-Dimensional Conservation Laws by
                                  Mathematical Programming . . . . . . . . 141--155
                 A. K. Aziz and   
                      J.-L. Liu   A Weighted Least Squares Method for the
                                  Backward-Forward Heat Equation . . . . . 156--167
             Jeffrey S. Scroggs   A physically motivated domain
                                  decomposition for singularly perturbed
                                  equations  . . . . . . . . . . . . . . . 168--178
                     Lori Badea   On the Schwarz Alternating Method with
                                  More than Two Subdomains for Nonlinear
                                  Monotone Problems  . . . . . . . . . . . 179--204
              B. Leimkuhler and   
              L. R. Petzold and   
                     C. W. Gear   Approximation Methods for the Consistent
                                  Initialization of Differential-Algebraic
                                  Equations  . . . . . . . . . . . . . . . 205--226
                     Peter Linz   Bounds and Estimates for Condition
                                  Numbers of Integral Equations  . . . . . 227--235
            David R. Dellwo and   
             Morton B. Friedman   Accelerated Projection and Iterated
                                  Projection Methods with Applications to
                                  Nonlinear Integral Equations . . . . . . 236--250
              Richard G. Carter   On the Global Convergence of Trust
                                  Region Algorithms Using Inexact Gradient
                                  Information  . . . . . . . . . . . . . . 251--265
                Mahmoud El-Alem   A Global Convergence Theory for the
                                  Celis--Dennis--Tapia Trust-Region
                                  Algorithm for Constrained Optimization   266--290

SIAM Journal on Numerical Analysis
Volume 28, Number 2, April, 1991

       Georges-Henri Cottet and   
           Jonathan Goodman and   
                  Thomas Y. Hou   Convergence of the Grid-Free Point
                                  Vortex Method for the Three-Dimensional
                                  Euler Equations  . . . . . . . . . . . . 291--307
              Thomas Y. Hou and   
             John Lowengrub and   
                  Robert Krasny   Convergence of a Point Vortex Method for
                                  Vortex Sheets  . . . . . . . . . . . . . 308--320
            Charles Collins and   
         David Kinderlehrer and   
                Mitchell Luskin   Numerical Approximation of the Solution
                                  of a Variational Problem with a Double
                                  Well Potential . . . . . . . . . . . . . 321--332
         Christine Bernardi and   
             Claudio Canuto and   
                     Yvon Maday   Spectral Approximations of the Stokes
                                  Equations with Boundary Conditions on
                                  the Pressure . . . . . . . . . . . . . . 333--362
             Lucia Gastaldi and   
            Ricardo H. Nochetto   Quasi-Optimal Pointwise Error Estimates
                                  for the Reissner--Mindlin Plate  . . . . 363--377
               Tony F. Chan and   
              Thomas Y. Hou and   
                    P. L. Lions   Geometry Related Convergence Results for
                                  Domain Decomposition Algorithms  . . . . 378--391
               Zhiqiang Cai and   
                 Jan Mandel and   
                Steve McCormick   The Finite Volume Element Method for
                                  Diffusion Equations on General
                                  Triangulations . . . . . . . . . . . . . 392--402
           Joseph W. Jerome and   
               Thomas Kerkhoven   A Finite Element Approximation Theory
                                  for the Drift Diffusion Semiconductor
                                  Model  . . . . . . . . . . . . . . . . . 403--422
            Endre Süli and   
                    Antony Ware   A Spectral Method of Characteristics for
                                  Hyperbolic Problems  . . . . . . . . . . 423--445
                      Zi-Cai Li   On Nonconforming Combinations of Various
                                  Finite Element Methods for Solving
                                  Elliptic Boundary Value Problems . . . . 446--475
                  M. Lescrenier   Convergence of Trust Region Algorithms
                                  for Optimization with Bounds when Strict
                                  Complementarity Does Not Hold  . . . . . 476--495
                   J. H. Verner   Some Runge--Kutta Formula Pairs  . . . . 496--511
               Meei-Yow Lin Lee   Estimation of the Error in the Reduced
                                  Basis Method Solution of Differential
                                  Algebraic Equation Systems . . . . . . . 512--528
            Sanjay Mehrotra and   
                        Jie Sun   A Method of Analytic Centers for
                                  Quadratically Constrained Convex
                                  Quadratic Programs . . . . . . . . . . . 529--544
             Andrew R. Conn and   
       Nicholas I. M. Gould and   
              Philippe L. Toint   A Globally Convergent Augmented
                                  Lagrangian Algorithm for Optimization
                                  with General Constraints and Simple
                                  Bounds . . . . . . . . . . . . . . . . . 545--572
                     L. Brutman   Polynomial Extrapolation from $\lbrack
                                  -1, 1 \rbrack$ to the Unit Disc  . . . . 573--579

SIAM Journal on Numerical Analysis
Volume 28, Number 3, June, 1991

              Franco Brezzi and   
                Richard S. Falk   Stability of Higher-Order Hood-Taylor
                                  Methods  . . . . . . . . . . . . . . . . 581--590
           Randolph E. Bank and   
               Bruno D. Welfert   \em A Posteriori Error Estimates for the
                                  Stokes Problem . . . . . . . . . . . . . 591--623
               I. Babu\vska and   
                   A. Craig and   
                  J. Mandel and   
             J. Pitkäranta   Efficient preconditioning for the
                                  $p$-version finite element method in two
                                  dimensions . . . . . . . . . . . . . . . 624--661
                D. L. Hicks and   
                  K. L. Kuttler   Error Bounds for Numerical Solutions to
                                  Hydrodynamical Problems Involving Shocks 662--684
               Yann Brenier and   
Jérôme Jaffré   Upstream Differencing for Multiphase
                                  Flow in Reservoir Simulation . . . . . . 685--696
                   H. P. Urbach   Convergence of the Galerkin Method for
                                  Two-Dimensional Electromagnetic Problems 697--710
               K. D. Cooper and   
                  P. M. Prenter   Alternating Direction Collocation for
                                  Separable Elliptic Partial Differential
                                  Equations  . . . . . . . . . . . . . . . 711--727
                M. Bourlard and   
                 S. Nicaise and   
                      L. Paquet   An Adapted Boundary Element Method for
                                  the Dirichlet Problem in Polygonal
                                  Domains  . . . . . . . . . . . . . . . . 728--743
              Gerard R. Richter   An Explicit Finite Element Method for
                                  Convection-Dominated Steady State
                                  Convection-Diffusion Equations . . . . . 744--759
             Ralph C. Smith and   
              Gary A. Bogar and   
          Kenneth L. Bowers and   
                      John Lund   The Sinc--Galerkin Method for
                                  Fourth-Order Differential Equations  . . 760--788
           Mark J. Friedman and   
             Eusebius J. Doedel   Numerical Computation and Continuation
                                  of Invariant Manifolds Connecting Fixed
                                  Points . . . . . . . . . . . . . . . . . 789--808
               A. D. Jepson and   
                  A. Spence and   
                   K. A. Cliffe   The numerical solution of nonlinear
                                  equations having several parameters.
                                  Part III. Equations with
                                  ${Z}_2$-symmetry . . . . . . . . . . . . 809--832
               J. B. Keiper and   
                     C. W. Gear   The Analysis of Generalized Backwards
                                  Difference Formula Methods Applied to
                                  Hessenberg Form Differential-Algebraic
                                  Equations  . . . . . . . . . . . . . . . 833--858
            Nancy S. Ellner and   
           Eugene L. Wachspress   Alternating Direction Implicit Iteration
                                  for Systems with Complex Spectra . . . . 859--870
            Raymond H. Chan and   
              Xiao-Qing Jin and   
                Man-Chung Yeung   The Spectra of Super-Optimal Circulant
                                  Preconditioned Toeplitz Systems  . . . . 871--879
Klaus-Jürgen Förster and   
                    Knut Petras   Error Estimates in Gaussian Quadrature
                                  for Functions of Bounded Variation . . . 880--889

SIAM Journal on Numerical Analysis
Volume 28, Number 4, August, 1991

                   Eitan Tadmor   Local Error Estimates for Discontinuous
                                  Solutions of Nonlinear Hyperbolic
                                  Equations  . . . . . . . . . . . . . . . 891--906
              Stanley Osher and   
                   Chi-Wang Shu   High-Order Essentially Nonoscillatory
                                  Schemes for Hamilton--Jacobi Equations   907--922
                     K. Ito and   
                  F. Kappel and   
                      G. Peichl   A fully discretized approximation scheme
                                  for size-structured population models    923--954
         H. D. Victory, Jr. and   
               Garry Tucker and   
                 Keshab Ganguly   The Convergence Analysis of Fully
                                  Discretized Particle Methods for Solving
                                  Vlasov--Poisson Systems  . . . . . . . . 955--989
               P. K. Jimack and   
                   A. J. Wathen   Temporal Derivatives in the
                                  Finite-Element Method on Continuously
                                  Deforming Grids  . . . . . . . . . . . . 990--1003
       Ricardo Durán and   
            Adriana Ghioldi and   
          Noemí Wolanski   A Finite Element Method for the
                                  Mindlin--Reissner Plate Model  . . . . . 1004--1014
                R. E. Ewing and   
              R. D. Lazarov and   
                        J. Wang   Superconvergence of the Velocity Along
                                  the Gauss Lines in Mixed Finite Element
                                  Methods  . . . . . . . . . . . . . . . . 1015--1029
                 P. Lesaint and   
                      J. Pousin   Existence and Approximation Results for
                                  Thermal Boundary Layer Equations of
                                  Reactive Flows . . . . . . . . . . . . . 1030--1046
               Yan Ping Lin and   
        Vidar Thomée and   
                Lars B. Wahlbin   Ritz-Volterra Projections to
                                  Finite-Element Spaces and Applications
                                  to Integrodifferential and Related
                                  Equations  . . . . . . . . . . . . . . . 1047--1070
                   L. Greengard   Spectral Integration and Two-Point
                                  Boundary Value Problems  . . . . . . . . 1071--1080
           J. M. Sanz-Serna and   
                        L. Abia   Order Conditions for Canonical
                                  Runge--Kutta Schemes . . . . . . . . . . 1081--1096
              Uri M. Ascher and   
               Linda R. Petzold   Projected Implicit Runge--Kutta Methods
                                  for Differential-Algebraic Equations . . 1097--1120
                     K. Ito and   
                 H. T. Tran and   
                    A. Manitius   A Fully-Discrete Spectral Method for
                                  Delay-Differential Equations . . . . . . 1121--1140
                    Denis Talay   Approximation of Upper Lyapunov
                                  Exponents of Bilinear Stochastic
                                  Differential Systems . . . . . . . . . . 1141--1164
              Z. Jackiewicz and   
                  R. Renaut and   
                   A. Feldstein   Two-Step Runge--Kutta Methods  . . . . . 1165--1182
           Eliane R. Panier and   
           André L. Tits   Avoiding the Maratos Effect by Means of
                                  a Nonmonotone Line Search I. General
                                  Constrained Problems . . . . . . . . . . 1183--1195
            Sotirios E. Notaris   Some New Formulae for the Stieltjes
                                  Polynomials Relative to Classical Weight
                                  Functions  . . . . . . . . . . . . . . . 1196--1206

SIAM Journal on Numerical Analysis
Volume 28, Number 5, October, 1991

         H. D. Victory, Jr. and   
                Edward J. Allen   The Convergence Theory of
                                  Particle-in-Cell Methods for
                                  Multidimensional Vlasov--Poisson Systems 1207--1241
                 Gunilla Kreiss   The Dependence on the Outflow Boundary
                                  Condition of the Solution of Steady,
                                  Incompressible Euler Equations . . . . . 1242--1264
          Ryan I. Fernandes and   
             Graeme Fairweather   An Alternating Direction Galerkin Method
                                  for a Class of Second-Order Hyperbolic
                                  Equations in Two Space Variables . . . . 1265--1281
                Clint N. Dawson   Godunov-Mixed Methods for Advective Flow
                                  Problems in One Space Dimension  . . . . 1282--1309
                   Qiang Du and   
               R. A. Nicolaides   Numerical Analysis of a Continuum Model
                                  of Phase Transition  . . . . . . . . . . 1310--1322
                   M. J. Baines   An Analysis of the Moving Finite-Element
                                  Procedure  . . . . . . . . . . . . . . . 1323--1349
                 M. Kroller and   
                     K. Kunisch   Convergence Rates for the Feedback
                                  Operators Arising in the Linear
                                  Quadratic Regulator Problem Governed by
                                  Parabolic Equations  . . . . . . . . . . 1350--1385
                C. I. Goldstein   Preconditioning Singularity Perturbed
                                  Elliptic and Parabolic Problems  . . . . 1386--1418
                Endre Süli   Convergence of Finite Volume Schemes for
                                  Poisson's Equation on Nonuniform Meshes  1419--1430
                 Gerhard Starke   Optimal Alternating Direction Implicit
                                  Parameters for Nonsymmetric Systems of
                                  Linear Equations . . . . . . . . . . . . 1431--1445
       Thomas F. Fairgrieve and   
                Allan D. Jepson   O. K. Floquet Multipliers  . . . . . . . 1446--1462
                Percy Deift and   
               James Demmel and   
               Luen Chau Li and   
                   Carlos Tomei   The Bidiagonal Singular Value
                                  Decomposition and Hamiltonian Mechanics  1463--1516
              Geir Nævdal   A Comment on Parrott's Theorem . . . . . 1517--1522

SIAM Journal on Numerical Analysis
Volume 28, Number 6, December, 1991

          Bertil Gustafsson and   
                     Hans Stoor   Navier--Stokes Equations for Almost
                                  Incompressible Flow  . . . . . . . . . . 1523--1547
           T. Gallouët and   
                     J.-P. Vila   Finite Volume Schemes for Conservation
                                  Laws of Mixed Type . . . . . . . . . . . 1548--1573
             Keshab Ganguly and   
                J. Todd Lee and   
             H. D. Victory, Jr.   On Simulation Methods for
                                  Vlasov--Poisson Systems with Particles
                                  Initially Asymptotically Distributed . . 1574--1609
                  Peter B. Monk   A Mixed Method for Approximating
                                  Maxwell's Equations  . . . . . . . . . . 1610--1634
                  Prabir Daripa   A New Theory for One-Dimensional
                                  Adaptive Grid Generation and Its
                                  Applications . . . . . . . . . . . . . . 1635--1660
               D. B. Duncan and   
                 M. A. M. Lynch   Jacobi Iteration in Implicit Difference
                                  Schemes for the Wave Equation  . . . . . 1661--1679
         Leopoldo P. Franca and   
                  Rolf Stenberg   Error analysis of some Galerkin least
                                  squares methods for the elasticity
                                  equations  . . . . . . . . . . . . . . . 1680--1697
               Kazufumi Ito and   
                     Janos Turi   Numerical Methods for a Class of
                                  Singular Integro-Differential Equations
                                  Based on Semigroup Approximation . . . . 1698--1722
                 A. Iserles and   
               A. T. Peplow and   
                   A. M. Stuart   A Unified Approach to Spurious Solutions
                                  Introduced by Time Discretisation. Part
                                  I: Basic Theory  . . . . . . . . . . . . 1723--1751
             D. C. Sorensen and   
            Ping Tak Peter Tang   On the Orthogonality of Eigenvectors
                                  Computed by Divide and Conquer
                                  Techniques . . . . . . . . . . . . . . . 1752--1775
             A. T. Chronopoulos   s-Step Iterative Methods for
                                  (Non)symmetric (In)definite Linear
                                  Systems  . . . . . . . . . . . . . . . . 1776--1789
             Masaharu Nakashima   Embedded Pseudo-Runge--Kutta Methods . . 1790--1802
                     G. Myerson   On Ignoring the Singularity  . . . . . . 1803--1807


SIAM Journal on Numerical Analysis
Volume 29, Number 1, February, 1992

                    B. Perthame   Second-Order Boltzmann Schemes for
                                  Compressible Euler Equations in One and
                                  Two Space Dimensions . . . . . . . . . . 1--19
            N. Anders Petersson   A Numerical Method to Calculate the
                                  Two-Dimensional Flow Around an
                                  Underwater Obstacle  . . . . . . . . . . 20--31
               R. A. Nicolaides   Direct Discretization of Planar Div-Curl
                                  Problems . . . . . . . . . . . . . . . . 32--56
                       Jie Shen   On Error Estimates of Projection Methods
                                  for Navier--Stokes Equations:
                                  First-Order Schemes  . . . . . . . . . . 57--77
       Ricardo Durán and   
María Amelia Muschietti and   
       Rodolfo Rodríguez   Asymptotically Exact Error Estimators
                                  for Rectangular Finite Elements  . . . . 78--88
                   Keith Miller   On the Mass Matrix Spectrum Bounds of
                                  Wathen and the Local Moving Finite
                                  Elements of Baines . . . . . . . . . . . 89--106
               Henner Eisen and   
              Wilhelm Heinrichs   A New Method of Stabilization for
                                  Singular Perturbation Problems with
                                  Spectral Methods . . . . . . . . . . . . 107--122
                Hung Ju Kuo and   
              Neil S. Trudinger   Discrete Methods for Fully Nonlinear
                                  Elliptic Equations . . . . . . . . . . . 123--135
            Maryse Bourlard and   
              Monique Dauge and   
         Mbaro-Saman Lubuma and   
                  Serge Nicaise   Coefficients of the Singularities for
                                  Elliptic Boundary Value Problems on
                                  Domains with Conical Points III. Finite
                                  Element Methods on Polygonal Domains . . 136--155
           Bernard Bialecki and   
         Graeme Fairweather and   
               Karin R. Bennett   Fast Direct Solvers for Piecewise
                                  Hermite Bicubic Orthogonal Spline
                                  Collocation Equations  . . . . . . . . . 156--173
                  Wei Zhong Dai   An unconditionally stable three-level
                                  explicit difference scheme for the
                                  Schrödinger equation with a variable
                                  coefficient  . . . . . . . . . . . . . . 174--181
      Francine Catté and   
         Pierre-Louis Lions and   
          Jean-Michel Morel and   
                     Tomeu Coll   Image Selective Smoothing and Edge
                                  Detection by Nonlinear Diffusion . . . . 182--193
         Christophe Fresnel and   
      Marie-Noëlle Le Roux   Numerical Solution of an Interdiffusion
                                  Problem  . . . . . . . . . . . . . . . . 194--208
                        Y. Saad   Analysis of Some Krylov Subspace
                                  Approximations to the Matrix Exponential
                                  Operator . . . . . . . . . . . . . . . . 209--228
                   T. Y. Li and   
            Zhong Gang Zeng and   
                      Luan Cong   Solving Eigenvalue Problems of Real
                                  Nonsymmetric Matrices with Real
                                  Homotopies . . . . . . . . . . . . . . . 229--248
            Jesse L. Barlow and   
            Udaya B. Vemulapati   A Note on Deferred Correction for
                                  Equality Constrained Least Squares
                                  Problems . . . . . . . . . . . . . . . . 249--256
                   Shmuel Rippa   Long and Thin Triangles Can Be Good For
                                  Linear Interpolation . . . . . . . . . . 257--270
                 H. L. Gray and   
                    Suojin Wang   A New Method for Approximating Improper
                                  Integrals  . . . . . . . . . . . . . . . 271--283
          Stamatis Cambanis and   
                    Elias Masry   Trapezoidal Stratified Monte Carlo
                                  Integration  . . . . . . . . . . . . . . 284--301

SIAM Journal on Numerical Analysis
Volume 29, Number 2, April, 1992

                     Jinchao Xu   A New Class of Iterative Methods for
                                  Nonselfadjoint or Indefinite Problems    303--319
            Mitchell Luskin and   
                        Ling Ma   Analysis of the Finite Element
                                  Approximation of Microstructure in
                                  Micromagnetics . . . . . . . . . . . . . 320--331
                R. P. Beyer and   
                  R. J. Leveque   Analysis of a One-Dimensional Model for
                                  the Immersed Boundary Method . . . . . . 332--364
            Manfred Dobrowolski   A Mixed Finite Element Method for
                                  Approximating Incompressible Materials   365--389
          Max D. Gunzburger and   
                  Steven L. Hou   Treating Inhomogeneous Essential
                                  Boundary Conditions in Finite Element
                                  Methods and the Calculation of Boundary
                                  Stresses . . . . . . . . . . . . . . . . 390--424
               Chichia Chiu and   
               David A. Kopriva   An Optimal Runge--Kutta Method for
                                  Steady-State Solutions of Hyperbolic
                                  Systems  . . . . . . . . . . . . . . . . 425--438
                Vladimir Veliov   Second-Order Discrete Approximation to
                                  Linear Differential Inclusions . . . . . 439--451
               Ching Lung Chang   Finite Element Approximation for
                                  Grad-Div Type Systems in the Plane . . . 452--461
        Christophe Devulder and   
                 Martine Marion   A Class of Numerical Algorithms for
                                  Large Time Integration: The Nonlinear
                                  Galerkin Methods . . . . . . . . . . . . 462--483
                   Dongming Wei   Existence, Uniqueness, and Numerical
                                  Analysis of Solutions of a Quasilinear
                                  Parabolic Problem  . . . . . . . . . . . 484--497
Vladimír Janovský and   
          Petr Plechá\vc   Computer-aided analysis of imperfect
                                  bifurcation diagrams. I. Simple
                                  bifurcation point and isola formation
                                  centre . . . . . . . . . . . . . . . . . 498--512
       Michal K\vrí\vzek   On the Maximum Angle Condition for
                                  Linear Tetrahedral Elements  . . . . . . 513--520
             Daniel Okunbor and   
                Robert D. Skeel   An explicit Runge--Kutta--Nyström method
                                  is canonical if and only if its adjoint
                                  is explicit  . . . . . . . . . . . . . . 521--527
           Jörg Peters and   
                 Meera Sitharam   Stability of interpolation from ${C}^1$
                                  cubics at the vertices of an underlying
                                  triangulation  . . . . . . . . . . . . . 528--533
         Eugene L. Allgower and   
          Klaus Böhmer and   
                 Kurt Georg and   
                   Rick Miranda   Exploiting Symmetry in Boundary Element
                                  Methods  . . . . . . . . . . . . . . . . 534--552
                   E. T. Y. Lee   Corners, Cusps, and Parametrizations:
                                  Variations on a Theorem of Epstein . . . 553--565
               Shaun Disney and   
                   Ian H. Sloan   Lattice Integration Rules of Maximal
                                  Rank Formed by Copying Rank 1 Rules  . . 566--577
                    Knut Petras   Error Bounds for Gaussian and Related
                                  Quadrature and Applications to R-Convex
                                  Functions  . . . . . . . . . . . . . . . 578--585
           William E. Smith and   
                    David Paget   Optimal Nodes for Interpolatory Product
                                  Integration  . . . . . . . . . . . . . . 586--600
             Carsten Carstensen   On Grau's Method for Simultaneous
                                  Factorization of Polynomials . . . . . . 601--613

SIAM Journal on Numerical Analysis
Volume 29, Number 3, June, 1992

              Thomas Y. Hou and   
             Brian T. R. Wetton   Convergence of a Finite Difference
                                  Scheme for the Navier--Stokes Equations
                                  Using Vorticity Boundary Conditions  . . 615--639
          Heinz-Otto Kreiss and   
                 Godela Scherer   Method of Lines for Hyperbolic
                                  Differential Equations . . . . . . . . . 640--646
             Susanne C. Brenner   A Multigrid Algorithm for the
                                  Lowest-Order Raviart--Thomas Mixed
                                  Triangular Finite Element Method . . . . 647--678
            Christian Ringhofer   A Spectral Collocation Technique for the
                                  Solution of the Wigner--Poisson Problem  679--700
                  J. M. Beckers   Analytical Linear Numerical Stability
                                  Conditions for an Anisotropic
                                  Three-Dimensional Advection-Diffusion
                                  Equation . . . . . . . . . . . . . . . . 701--713
                     Peter Monk   Analysis of a Finite Element Method for
                                  Maxwell's Equations  . . . . . . . . . . 714--729
            Richard S. Falk and   
              Gerard R. Richter   Local Error Estimates for a Finite
                                  Element Method for Hyperbolic and
                                  Convection-Diffusion Equations . . . . . 730--754
                     Yi Yan and   
             Graeme Fairweather   Orthogonal Spline Collocation Methods
                                  for Some Partial Integrodifferential
                                  Equations  . . . . . . . . . . . . . . . 755--768
                        S. Chow   Finite Element Error Estimates for a
                                  Blast Furnace Gas Flow Problem . . . . . 769--780
                     Luca Dieci   Numerical Integration of the
                                  Differential Riccati Equation and Some
                                  Related Issues . . . . . . . . . . . . . 781--815
          M. von Golitschek and   
                    W. A. Light   Approximation by Solutions of the Planar
                                  Wave Equation  . . . . . . . . . . . . . 816--830
         Eugene L. Allgower and   
                 Kurt Georg and   
                   Rick Miranda   The Method of Resultants for Computing
                                  Real Solutions of Polynomial Systems . . 831--844
               Luis Alvarez and   
         Pierre-Louis Lions and   
              Jean-Michel Morel   Image Selective Smoothing and Edge
                                  Detection by Nonlinear Diffusion. II . . 845--866
             Elisabeth Rouy and   
                 Agn\`es Tourin   A Viscosity Solutions Approach to
                                  Shape-From-Shading . . . . . . . . . . . 867--884
                   Moody T. Chu   Numerical Methods for Inverse Singular
                                  Value Problems . . . . . . . . . . . . . 885--903

SIAM Journal on Numerical Analysis
Volume 29, Number 4, August, 1992

                    Wei Cai and   
             David Gottlieb and   
                   Chi-Wang Shu   On One-Sided Filters for Spectral
                                  Fourier Approximations of Discontinuous
                                  Functions  . . . . . . . . . . . . . . . 905--916
           Alfio Quarteroni and   
                 Elena Zampieri   Finite Element Preconditioning for
                                  Legendre Spectral Collocation
                                  Approximations to Elliptic Equations and
                                  Systems  . . . . . . . . . . . . . . . . 917--936
                Lars B. Wahlbin   On Superconvergence Up to Boundaries in
                                  Finite Element Methods: A Counterexample 937--946
              Ivo Babu\vska and   
       Ricardo Durán and   
       Rodolfo Rodríguez   Analysis of the Efficiency of an A
                                  Posteriori Error Estimator for Linear
                                  Triangular Finite Elements . . . . . . . 947--964
        Stéphane Jaffard   Wavelet Methods for Fast Resolution of
                                  Elliptic Problems  . . . . . . . . . . . 965--986
                  Jun Ping Wang   Convergence Analysis Without Regularity
                                  Assumptions for Multigrid Algorithms
                                  Based on SOR Smoothing . . . . . . . . . 987--1001
              Michel Chipot and   
                Charles Collins   Numerical Approximations in Variational
                                  Problems with Potential Wells  . . . . . 1002--1019
                 Zhen Huan Teng   Particle Method and Its Convergence for
                                  Scalar Conservation Laws . . . . . . . . 1020--1042
                    Bill Semper   Conforming Finite Element Approximations
                                  for a Fourth-Order Singular Perturbation
                                  Problem  . . . . . . . . . . . . . . . . 1043--1058
                 Hachmi Bendhia   Numerical Analysis of a Bidimensional
                                  Hencky Problem Approximated by a
                                  Discontinuous Finite Element Method  . . 1059--1073
Julián López-Gómez and   
       Marcela Molina-Meyer and   
       Mónica Villarreal   Numerical Computation of Coexistence
                                  States . . . . . . . . . . . . . . . . . 1074--1092
            Raymond H. Chan and   
                Man-Chung Yeung   Circulant Preconditioners Constructed
                                  from Kernels . . . . . . . . . . . . . . 1093--1103
                   T. Y. Li and   
                 Xiao Shen Wang   Nonlinear Homotopies for Solving
                                  Deficient Polynomial Systems with
                                  Parameters . . . . . . . . . . . . . . . 1104--1118
                Stephen Joe and   
                   Ian H. Sloan   Imbedded Lattice Rules for
                                  Multidimensional Integration . . . . . . 1119--1135
                Erlend Arge and   
            Morten Dæhlen   Grid point interpolation on finite
                                  regions using ${C}^1$ box splines  . . . 1136--1153
            Hiroshi Sugiura and   
                   Tatsuo Torii   Polynomial Interpolation on
                                  Quasi-Equidistributed Nodes on the Unit
                                  Disk . . . . . . . . . . . . . . . . . . 1154--1165
          Thomas F. Coleman and   
                      Yuying Li   A global and quadratically convergent
                                  method for linear ${L}_\infty$ problems  1166--1186
J. Frédéric Bonnans and   
           Eliane R. Panier and   
       André L. Tits and   
                   Jian L. Zhou   Avoiding the Maratos effect by means of
                                  a nonmonotone line search. II.
                                  Inequality constrained problems ---
                                  feasible iterates  . . . . . . . . . . . 1187--1202

SIAM Journal on Numerical Analysis
Volume 29, Number 5, October, 1992

         Christine Bernardi and   
Frédéric Laval and   
    Brigitte Métivet and   
      Bernadette Pernaud-Thomas   Finite Element Approximation of Viscous
                                  Flows with Varying Density . . . . . . . 1203--1243
            D. F. Griffiths and   
               A. M. Stuart and   
                      H. C. Yee   Numerical Wave Propagation in an
                                  Advection Equation with a Nonlinear
                                  Source Term  . . . . . . . . . . . . . . 1244--1260
              Ivo Babu\vska and   
                     Manil Suri   On Locking and Robustness in the Finite
                                  Element Method . . . . . . . . . . . . . 1261--1293
            Sòren Jensen   Adaptive Dimensional Reduction Numerical
                                  Solution of Monotone Quasilinear
                                  Boundary Value Problems  . . . . . . . . 1294--1320
       Thomas A. Manteuffel and   
           Andrew B. White, Jr.   A Calculus of Difference Schemes for the
                                  Solution of Boundary-Value Problems on
                                  Irregular Meshes . . . . . . . . . . . . 1321--1346
              Jean-Luc Guermond   Numerical Quadratures for Layer
                                  Potentials Over Curved Domains in
                                  $\mathbb{R}^3$ . . . . . . . . . . . . . 1347--1369
              Per Lötstedt   Grid Independent Convergence of the
                                  Multigrid Method for First-Order
                                  Equations  . . . . . . . . . . . . . . . 1370--1394
            Peter Deuflhard and   
               Florian A. Potra   Asymptotic Mesh Independence of
                                  Newton--Galerkin Methods via a Refined
                                  Mysovski\uì theorem . . . . . . . . . . . 1395--1412
José Mario Martínez   Fixed-Point Quasi-Newton Methods . . . . 1413--1434
                      M. Neamtu   Multivariate Divided Differences I:
                                  Basic Properties . . . . . . . . . . . . 1435--1445
                 Markus Hegland   An Optimal Order Regularization Method
                                  Which Does Not Use Additional Smoothness
                                  Assumptions  . . . . . . . . . . . . . . 1446--1461
                   Mu Sheng Wei   Perturbation Theory for the
                                  Rank-Deficient Equality Constrained
                                  Least Squares Problem  . . . . . . . . . 1462--1481
                  Elliot Linzer   On the Stability of Transform-Based
                                  Circular Deconvolution . . . . . . . . . 1482--1492
                   E. R. Hansen   Bounding the Solution of Interval Linear
                                  Equations  . . . . . . . . . . . . . . . 1493--1503

SIAM Journal on Numerical Analysis
Volume 29, Number 6, December, 1992

              Haim Nessyahu and   
                   Eitan Tadmor   The Convergence Rate of Approximate
                                  Solutions for Nonlinear Scalar
                                  Conservation Laws  . . . . . . . . . . . 1505--1519
                       Weinan E   Convergence of Spectral Methods for
                                  Burgers' Equation  . . . . . . . . . . . 1520--1541
                  P. L. Roe and   
                  D. Sidilkover   Optimum Positive Linear Schemes for
                                  Advection in Two and Three Dimensions    1542--1568
                 Arnold Reusken   On Maximum Norm Convergence of Multigrid
                                  Methods for Two-Point Boundary Value
                                  Problems . . . . . . . . . . . . . . . . 1569--1578
               R. A. Nicolaides   Analysis and Convergence of the MAC
                                  Scheme I. The Linear Problem . . . . . . 1579--1591
                       S. Karni   Viscous Shock Profiles and Primitive
                                  Formulations . . . . . . . . . . . . . . 1592--1609
                      P. Oswald   Hierarchical Conforming Finite Element
                                  Methods for the Biharmonic Equation  . . 1610--1625
            Wei Zhang Huang and   
                 David M. Sloan   The Pseudospectral Method for
                                  Third-Order Differential Equations . . . 1626--1647
              M. C. Delfour and   
                    A. Ouansafi   Noniterative Approximations to the
                                  Solution of the Matrix Riccati
                                  Differential Equation  . . . . . . . . . 1648--1693
          Michael Knorrenschild   Differential/Algebraic Equations as
                                  Stiff Ordinary Differential Equations    1694--1715
                     G. Beylkin   On the Representation of Operators in
                                  Bases of Compactly Supported Wavelets    1716--1740
             Anne C. Morlet and   
                    Jens Lorenz   Numerical Solution of a Functional
                                  Equation on a Circle . . . . . . . . . . 1741--1768
     M. Heinkenschloß and   
               C. T. Kelley and   
                     H. T. Tran   Fast Algorithms for Nonsmooth Compact
                                  Fixed-Point Problems . . . . . . . . . . 1769--1792
                 K. Kunisch and   
                    E. W. Sachs   Reduced SQP Methods for Parameter
                                  Identification Problems  . . . . . . . . 1793--1820


SIAM Journal on Numerical Analysis
Volume 30, Number 1, February, 1993

           Randolph E. Bank and   
               Rafael F. Santos   Analysis of Some Moving Space-Time
                                  Finite Element Methods . . . . . . . . . 1--18
              Wilhelm Heinrichs   Splitting techniques for the
                                  pseudospectral approximation of the
                                  unsteady Stokes equations  . . . . . . . 19--39
            Martin H. Gutknecht   Changing the Norm in Conjugate Gradient
                                  Type Algorithms  . . . . . . . . . . . . 40--56
                  Hung T. Huynh   Accurate Monotone Cubic Interpolation    57--100
              Uri M. Ascher and   
                 Paul M. Carter   A Multigrid Method for
                                  Shape-from-Shading . . . . . . . . . . . 102--115
             Susanne C. Brenner   A Nonconforming Mixed Multigrid Method
                                  for the Pure Displacement Problem in
                                  Planar Linear Elasticity . . . . . . . . 116--135
           Craig C. Douglas and   
               Jim Douglas, Jr.   A Unified Convergence Theory for
                                  Abstract Multigrid or Multilevel
                                  Algorithms, Serial and Parallel  . . . . 136--158
           Charles I. Goldstein   Multigrid Methods for Elliptic Problems
                                  in Unbounded Domains . . . . . . . . . . 159--183
                  M. R. Hanisch   Multigrid Preconditioning for the
                                  Biharmonic Dirichlet Problem . . . . . . 184--214
              Naomi H. Naik and   
             John Van Rosendale   The Improved Robustness of Multigrid
                                  Elliptic Solvers Based on Multiple
                                  Semicoarsened Grids  . . . . . . . . . . 215--229
               Ulrich Rüde   Fully Adaptive Multigrid Methods . . . . 230--248
           David Sidilkover and   
                    Achi Brandt   Multigrid Solution to Steady-State
                                  Two-Dimensional Conservation Laws  . . . 249--274
                  Jun Ping Wang   Convergence Analysis of Multigrid
                                  Algorithms for Nonselfadjoint and
                                  Indefinite Elliptic Problems . . . . . . 275--285
          Stefan Vandewalle and   
                Robert Piessens   On Dynamic Iteration Methods for Solving
                                  Time-Periodic Differential Equations . . 286--303

SIAM Journal on Numerical Analysis
Volume 30, Number 2, April, 1993

           Werner C. Rheinboldt   On the Sensitivity of Solutions of
                                  Parameterized Equations  . . . . . . . . 305--320
                 Yvon Maday and   
         Sidi M. Ould Kaber and   
                   Eitan Tadmor   Legendre Pseudospectral Viscosity Method
                                  for Nonlinear Conservation Laws  . . . . 321--342
            C. I. Goldstein and   
       Thomas A. Manteuffel and   
              Seymour V. Parter   Preconditioning and boundary conditions
                                  without ${H}_2$ estimates: ${L}_2$
                                  condition numbers and the distribution
                                  of the singular values . . . . . . . . . 343--376
        Ohannes Karakashian and   
        Georgios D. Akrivis and   
          Vassilios A. Dougalis   On Optimal Order Error Estimates for the
                                  Nonlinear Schrödinger Equation  . . . . . 377--400
               Aslak Tveito and   
                 Ragnar Winther   An Error Estimate for a Finite
                                  Difference Scheme Approximating a
                                  Hyperbolic System of Conservation Laws   401--424
               Bernard Bialecki   A Fast Domain Decomposition Poisson
                                  Solver on a Rectangle for Hermite
                                  Bicubic Orthogonal Spline Collocation    425--434
              Wilhelm Heinrichs   Domain Decomposition for Fourth-Order
                                  Problems . . . . . . . . . . . . . . . . 435--453
         François Rogier   Mathematical and Numerical Study of a
                                  Magnetostatic Problem Around a Thin
                                  Shield . . . . . . . . . . . . . . . . . 454--477
                       Ping Lee   A Lagrange Multiplier Method for the
                                  Interface Equations from Electromagnetic
                                  Applications . . . . . . . . . . . . . . 478--506
            Wolfgang Dahmen and   
           Charles A. Micchelli   Using the Refinement Equation for
                                  Evaluating Integrals of Wavelets . . . . 507--537
                  V. Brasey and   
                      E. Hairer   Half-explicit Runge--Kutta methods for
                                  differential-algebraic systems of index
                                  $2$  . . . . . . . . . . . . . . . . . . 538--552
                       Jeng Yen   Constrained Equations of Motion in
                                  Multibody Dynamics as ODEs on Manifolds  553--568
                     S. Joe and   
                S. A. R. Disney   Intermediate Rank Lattice Rules for
                                  Multidimensional Integration . . . . . . 569--582
             Jan Verschelde and   
                  Ann Haegemans   The ${GBQ}$-algorithm for constructing
                                  start systems of homotopies for
                                  polynomial systems . . . . . . . . . . . 583--594
                Roger Delbourgo   Accurate ${C}^2$ rational interpolants
                                  in tension . . . . . . . . . . . . . . . 595--607

SIAM Journal on Numerical Analysis
Volume 30, Number 3, June, 1993

              Thomas Y. Hou and   
             Brian T. R. Wetton   Second-Order Convergence of a Projection
                                  Scheme for the Incompressible
                                  Navier--Stokes Equations with Boundaries 609--629
              Andrew Wathen and   
                David Silvester   Fast Iterative Solution of Stabilised
                                  Stokes Systems. Part I: Using Simple
                                  Diagonal Preconditioners . . . . . . . . 630--649
                      E. Weinan   Convergence of Fourier Methods for the
                                  Navier--Stokes Equations . . . . . . . . 650--674
Frédéric Coquel and   
              Philippe Le Floch   Convergence of Finite Difference Schemes
                                  for Conservation Laws in Several Space
                                  Dimensions: A General Theory . . . . . . 675--700
                    Xu-Dong Liu   A Maximum Principle Satisfying
                                  Modification of Triangle Based Adaptive
                                  Stencils for the Solution of Scalar
                                  Hyperbolic Conservation Laws . . . . . . 701--716
             Robert L. Doucette   A Collocation Method for the Numerical
                                  Solution of Laplace's Equation with
                                  Nonlinear Boundary Conditions on a
                                  Polygon  . . . . . . . . . . . . . . . . 717--732
                 T. N'Kaoua and   
                      R. Sentis   A New Time Discretization for the
                                  Radiative Transfer Equations: Analysis
                                  and Comparison with the Classical
                                  Discretization . . . . . . . . . . . . . 733--748
        Eugene C. Gartland, Jr.   On the Uniform Convergence of the
                                  Scharfetter-Gummel Discretization in One
                                  Dimension  . . . . . . . . . . . . . . . 749--758
                  Wei Dong Chen   A Regularization Method for the
                                  Numerical Inversion of the Laplace
                                  Transform  . . . . . . . . . . . . . . . 759--773
               Florian A. Potra   Implementation of Linear Multistep
                                  Methods for Solving Constrained
                                  Equations of Motion  . . . . . . . . . . 774--789
          Thomas Manteuffel and   
                     James Otto   Optimal Equivalent Preconditioners . . . 790--812
                  P. Amodio and   
                L. Brugnano and   
                      T. Politi   Parallel Factorizations for Tridiagonal
                                  Matrices . . . . . . . . . . . . . . . . 813--823
                 Ta-Kang Ku and   
                  C.-C. Jay Kuo   Preconditioned Iterative Methods for
                                  Solving Toeplitz-Plus-Hankel Systems . . 824--845
     Albrecht Böttcher and   
                   Hartmut Wolf   Galerkin--Petrov Methods for Bergman
                                  Space Toeplitz Operators . . . . . . . . 846--863
                        J. Rohn   Inverse Interval Matrix  . . . . . . . . 864--870
               John Gregory and   
                    Cantian Lin   Discrete Variable Methods for the
                                  m-Dependent Variable Nonlinear, Extremal
                                  Problem in the Calculus of Variations II 871--881
                K. Atkinson and   
                   E. Venturino   Numerical Evaluation of Line Integrals   882--888
               Peter Alfeld and   
         Larry L. Schumaker and   
                Walter Whiteley   The generic dimension of the space of
                                  ${C}^1$ splines of degree $d\geq 8$ on
                                  tetrahedral decompositions . . . . . . . 889--920

SIAM Journal on Numerical Analysis
Volume 30, Number 4, September, 1993

           Randolph E. Bank and   
                  R. Kent Smith   \em A Posteriori Error Estimates Based
                                  on Hierarchical Bases  . . . . . . . . . 921--935
             Xiao-Chuan Cai and   
                Olof B. Widlund   Multiplicative Schwarz algorithms for
                                  some nonsymmetric and indefinite
                                  problems . . . . . . . . . . . . . . . . 936--952
                  Jun Ping Wang   Convergence analysis of the Schwarz
                                  algorithm and multilevel decomposition
                                  iterative methods. II. Nonselfadjoint
                                  and indefinite elliptic problems . . . . 953--970
                M. Farhloul and   
                      M. Fortin   A New Mixed Finite Element for the
                                  Stokes and Elasticity Problems . . . . . 971--990
             R. H. Nochetto and   
                 M. Paolini and   
                       C. Verdi   A Fully Discrete Adaptive Nonlinear
                                  Chernoff Formula . . . . . . . . . . . . 991--1014
                 Andreas Kirmse   Bending-Dominated Deformation of Thin
                                  Spherical Shells: Analysis and
                                  Finite-Element Approximation . . . . . . 1015--1040
             G. A. Chandler and   
                   I. G. Graham   The Computation of Water Waves Modelled
                                  by Nekrasov's Equation . . . . . . . . . 1041--1065
                 Ben Yu Guo and   
                     He Ping Ma   Combined Finite Element and
                                  Pseudospectral Method for the
                                  Two-Dimensional Evolutionary
                                  Navier--Stokes Equations . . . . . . . . 1066--1083
               A. Ostermann and   
                       M. Roche   Rosenbrock Methods for Partial
                                  Differential Equations and Fractional
                                  Orders of Convergence  . . . . . . . . . 1084--1098
           Gautam M. Shroff and   
              Herbert B. Keller   Stabilization of Unstable Procedures:
                                  The Recursive Projection Method  . . . . 1099--1120
                    W. Govaerts   Computation of Takens--Bogdanov Type
                                  Bifurcations with Arbitrary Codimension  1121--1133
                       Bin Hong   On the Computation of Multiple
                                  Bifurcations with Multiple Parameters
                                  and Symmetry . . . . . . . . . . . . . . 1134--1154
               Stephen Schecter   Numerical Computation of Saddle-Node
                                  Homoclinic Bifurcation Points  . . . . . 1155--1178
                Hon-Wah Tam and   
                Robert D. Skeel   Stability of Parallel Explicit ODE
                                  Methods  . . . . . . . . . . . . . . . . 1179--1192
            Raymond H. Chan and   
                Man-Chung Yeung   Circulant Preconditioners for Complex
                                  Toeplitz Matrices  . . . . . . . . . . . 1193--1207
                   Martin Hanke   An $\epsilon$-free a posteriori stopping
                                  rule for certain iterative
                                  regularization methods . . . . . . . . . 1208--1228

SIAM Journal on Numerical Analysis
Volume 30, Number 5, October, 1993

              Jing Hua Wang and   
                Gerald Warnecke   On entropy consistency of large time
                                  step schemes. I. The Godunov and Glimm
                                  schemes  . . . . . . . . . . . . . . . . 1229--1251
              Jing Hua Wang and   
                Gerald Warnecke   On entropy consistency of large time
                                  step schemes. II. Approximate Riemann
                                  solvers  . . . . . . . . . . . . . . . . 1252--1267
            Howard C. Elman and   
           Michael P. Chernesky   Ordering Effects on Relaxation Methods
                                  Applied to the Discrete One-Dimensional
                                  Convection-Diffusion Equation  . . . . . 1268--1290
        John E. Dennis, Jr. and   
                   H. Wolkowicz   Sizing and Least-Change Secant Methods   1291--1314
                   Clint Dawson   Godunov-Mixed Methods for
                                  Advection-Diffusion Equations in
                                  Multidimensions  . . . . . . . . . . . . 1315--1332
               Kazufumi Ito and   
                  Sungkwon Kang   A Dissipative Pseudospectral Method for
                                  the Two-Dimensional Navier--Stokes
                                  Equations  . . . . . . . . . . . . . . . 1333--1350
           Dietmar Berthold and   
                Peter Junghanns   New Error Bounds for the Quadrature
                                  Method for the Solution of Cauchy
                                  Singular Integral Equations  . . . . . . 1351--1372
                    C. Palencia   A Stability Result for Sectorial
                                  Operators in Banach Spaces . . . . . . . 1373--1384
              Yonghoon Kwon and   
                   Chung-Ki Cho   Second-Order Accurate Difference Methods
                                  for a One-Sex Model of Population
                                  Dynamics . . . . . . . . . . . . . . . . 1385--1399
          Relja Vulanovi\'c and   
                Paul A. Farrell   Continuous and Numerical Analysis of a
                                  Multiple Boundary Turning Point Problem  1400--1418
                  W. H. Enright   The Relative Efficiency of Alternative
                                  Defect Control Schemes for High-Order
                                  Continuous Runge--Kutta Formulas . . . . 1419--1445
                   J. H. Verner   Differentiable Interpolants for
                                  High-Order Runge--Kutta Methods  . . . . 1446--1466
                      Edda Eich   Convergence Results for a Coordinate
                                  Projection Method Applied to Mechanical
                                  Systems with Algebraic Constraints . . . 1467--1482
           P. L. de Angelis and   
                     G. Toraldo   On the Identification Property of a
                                  Projected Gradient Method  . . . . . . . 1483--1497
               Hari Krishna and   
                   Yunbiao Wang   The Split Levinson Algorithm is Weakly
                                  Stable . . . . . . . . . . . . . . . . . 1498--1508
              Heinz W. Engl and   
                  Gerhard Landl   Convergence Rates for Maximum Entropy
                                  Regularization . . . . . . . . . . . . . 1509--1536

SIAM Journal on Numerical Analysis
Volume 30, Number 6, December, 1993

           Richard E. Ewing and   
         Raytcho D. Lazarov and   
          Joseph E. Pasciak and   
         Panayot S. Vassilevski   Domain Decomposition Type Iterative
                                  Techniques for Parabolic Problems on
                                  Locally Refined Grids  . . . . . . . . . 1537--1557
        William J. Morokoff and   
             Russel E. Caflisch   A Quasi-Monte Carlo Approach to Particle
                                  Simulation of the Heat Equation  . . . . 1558--1573
                H. T. Banks and   
                 H. T. Tran and   
                 D. E. Woodward   Estimation of Variable Coefficients in
                                  the Fokker--Planck Equations Using
                                  Moving Node Finite Elements  . . . . . . 1574--1602
            John G. Heywood and   
                 Rolf Rannacher   On the Question of Turbulence Modeling
                                  by Approximate Inertial Manifolds and
                                  the Nonlinear Galerkin Method  . . . . . 1603--1621
              C. M. Elliott and   
                   A. M. Stuart   The Global Dynamics of Discrete
                                  Semilinear Parabolic Equations . . . . . 1622--1663
                 Daniele Funaro   A New Scheme for the Approximation of
                                  Advection-Diffusion Equations by
                                  Collocation  . . . . . . . . . . . . . . 1664--1676
              Todd Arbogast and   
         Mandri Obeyesekere and   
                Mary F. Wheeler   Numerical Methods for the Simulation of
                                  Flow in Root-Soil Systems  . . . . . . . 1677--1702
                 J. Ka\vcur and   
   A. Handlovi\vcová and   
           M. Ka\vcurová   Solution of Nonlinear Diffusion Problems
                                  by Linear Approximation Schemes  . . . . 1703--1722
               M. E. Kramer and   
              R. M. M. Mattheij   Application of Global Methods in
                                  Parallel Shooting  . . . . . . . . . . . 1723--1739
            Raymond H. Chan and   
              James G. Nagy and   
             Robert J. Plemmons   FFT-Based Preconditioners for
                                  Toeplitz-Block Least Squares Problems    1740--1768
                 J. Saranen and   
                  L. Schroderus   Quadrature Methods for Strongly Elliptic
                                  Equations of Negative Order on Smooth
                                  Closed Curves  . . . . . . . . . . . . . 1769--1795
                O. Scherzer and   
                 H. W. Engl and   
                     K. Kunisch   Optimal A Posteriori Parameter Choice
                                  for Tikhonov Regularization for Solving
                                  Nonlinear Ill-posed Problems . . . . . . 1796--1838


SIAM Journal on Numerical Analysis
Volume 31, Number 1, February, 1994

              Haim Nessyahu and   
               Eitan Tadmor and   
                    Tamir Tassa   The Convergence Rate of Godunov Type
                                  Schemes  . . . . . . . . . . . . . . . . 1--16
                     C. D. Munz   On Godunov-type schemes for Lagrangian
                                  gas dynamics . . . . . . . . . . . . . . 17--42
                 Zhen Huan Teng   On the Accuracy of Fractional Step
                                  Methods for Conservation Laws in Two
                                  Dimensions . . . . . . . . . . . . . . . 43--63
               Robert L. Higdon   Radiation Boundary Conditions for
                                  Dispersive Waves . . . . . . . . . . . . 64--100
            Vladimir Kozlov and   
            Vladimir Maz'ya and   
                   Leonid Rozin   On Certain Hybrid Iterative Methods for
                                  Solving Boundary Value Problems  . . . . 101--110
           Pierre-Alain Gremaud   Numerical Analysis of a Nonconvex
                                  Variational Problem Related to
                                  Solid-Solid Phase Transitions  . . . . . 111--127
             Bernard Brighi and   
                  Michel Chipot   Approximated Convex Envelope of a
                                  Function . . . . . . . . . . . . . . . . 128--148
                 Peter K. Moore   \em A Posteriori Error Estimation with
                                  Finite Element Semi- and Fully-Discrete
                                  Methods for Non-linear Parabolic
                                  Equations in One Space Dimension . . . . 149--169
      Marie-Noëlle Le Roux   Semidiscretization in Time of Nonlinear
                                  Parabolic Equations with Blowup of the
                                  Solution . . . . . . . . . . . . . . . . 170--195
            J. J. H. Miller and   
                        S. Wang   A Tetrahedral Mixed Finite Element
                                  Method for the Stationary Semiconductor
                                  Continuity Equations . . . . . . . . . . 196--216
José Mario Martínez   SOR-Secant Methods . . . . . . . . . . . 217--226
          Imad M. Jaimoukha and   
           Ebrahim M. Kasenally   Krylov Subspace Methods for Solving
                                  Large Lyapunov Equations . . . . . . . . 227--251
                 G. Alefeld and   
                 A. Gienger and   
                       F. Potra   Efficient Numerical Validation of
                                  Solutions of Nonlinear Systems . . . . . 252--260
                 Luca Dieci and   
          Robert D. Russell and   
              Erik S. Van Vleck   Unitary Integrators and Applications to
                                  Continuous Orthonormalization Techniques 261--281
                G. Koepfler and   
                   C. Lopez and   
                    J. M. Morel   A Multiscale Algorithm for Image
                                  Segmentation by Variational Method . . . 282--299

SIAM Journal on Numerical Analysis
Volume 31, Number 2, April, 1994

             R. H. W. Hoppe and   
                   R. Kornhuber   Adaptive Multilevel Methods for Obstacle
                                  Problems . . . . . . . . . . . . . . . . 301--323
        Dietmar Kröner and   
                   Mirko Rokyta   Convergence of Upwind Finite Volume
                                  Schemes for Scalar Conservation Laws in
                                  Two Dimensions . . . . . . . . . . . . . 324--343
               Lung An Ying and   
                 Ping Wen Zhang   Fully Discrete Convergence Estimates for
                                  Vortex Methods in Bounded Domains  . . . 344--361
               Dominique Sandri   Finite Element Approximation of
                                  Viscoelastic Fluid Flow: Existence of
                                  Approximate Solutions and Error Bounds.
                                  Continuous Approximation of the Stress   362--377
                 Arnold Reusken   On Maximum Norm Convergence of Multigrid
                                  Methods for Elliptic Boundary Value
                                  Problems . . . . . . . . . . . . . . . . 378--392
                 Peter Monk and   
                Endre Süli   A Convergence Analysis of Yee's Scheme
                                  on Nonuniform Grids  . . . . . . . . . . 393--412
            John W. Barrett and   
                      W. B. Liu   Finite Element Approximation of the
                                  Parabolic $p$-Laplacian  . . . . . . . . 413--428
                 I. Gohberg and   
                   M. Hanke and   
                   I. Koltracht   Fast Preconditioned Conjugate Gradient
                                  Algorithms for Wiener--Hopf Integral
                                  Equations  . . . . . . . . . . . . . . . 429--443
             Graeme Fairweather   Spline Collocation Methods for a Class
                                  of Hyperbolic Partial
                                  Integro-Differential Equations . . . . . 444--460
                  Youngmok Jeon   An Indirect Boundary Integral Equation
                                  Method for the Biharmonic Equation . . . 461--476
                         Yi Yan   A Fast Numerical Solution for a Second
                                  Kind Boundary Integral Equation with a
                                  Logarithmic Kernel . . . . . . . . . . . 477--498
                  A. Bellen and   
              Z. Jackiewicz and   
                     M. Zennaro   Contractivity of Waveform Relaxation
                                  Runge--Kutta Iterations and Related
                                  Limit Methods for Dissipative Systems in
                                  the Maximum Norm . . . . . . . . . . . . 499--523
               K.-w. E. Chu and   
                W. Govaerts and   
                      A. Spence   Matrices with Rank Deficiency Two in
                                  Eigenvalue Problems and Dynamical
                                  Systems  . . . . . . . . . . . . . . . . 524--539
                 R. Scherer and   
                     W. Wendler   Complete Algebraic Characterization of
                                  A-Stable Runge--Kutta Methods  . . . . . 540--551
                    P. Chartier   ${L}$-stable parallel one-block methods
                                  for ordinary differential equations  . . 552--571
         V. Martínez and   
                A. Marquina and   
                       R. Donat   Shooting Methods for One-Dimensional
                                  Diffusion-Absorption Problems  . . . . . 572--589
               Luis Alvarez and   
                   Luis Mazorra   Signal and Image Restoration Using Shock
                                  Filters and Anisotropic Diffusion  . . . 590--605

SIAM Journal on Numerical Analysis
Volume 31, Number 3, June, 1994

          Bernardo Cockburn and   
                   Chi-Wang Shu   Nonlinearly Stable Compact Schemes for
                                  Shock Calculations . . . . . . . . . . . 607--627
              Haim Nessyahu and   
                    Tamir Tassa   Convergence Rate of Approximate
                                  Solutions to Conservation Laws with
                                  Initial Rarefactions . . . . . . . . . . 628--654
                     Rosa Donat   Studies on Error Propagation for Certain
                                  Nonlinear Approximations to Hyperbolic
                                  Equations: Discontinuities in
                                  Derivatives  . . . . . . . . . . . . . . 655--679
            George C. Hsiao and   
                 Shangyou Zhang   Optimal Order Multigrid Methods for
                                  Solving Exterior Boundary Value Problems 680--694
                   Th. Apel and   
                    B. Heinrich   Mesh Refinement and Windowing Near Edges
                                  for Some Elliptic Problem  . . . . . . . 695--708
             Weizhang Huang and   
                   Yuhe Ren and   
              Robert D. Russell   Moving Mesh Partial Differential
                                  Equations (MMPDEs) Based on the
                                  Equidistribution Principle . . . . . . . 709--730
                  Jiang Zhu and   
                Hong Wei Wu and   
                 Yuan Ming Wang   A Mixed Method for the Mixed Initial
                                  Boundary Value Problems of Equations of
                                  Semiconductor Devices  . . . . . . . . . 731--744
                     Bodo Heise   Analysis of a Fully Discrete Finite
                                  Element Method for a Nonlinear Magnetic
                                  Field Problem  . . . . . . . . . . . . . 745--759
              Pedro C. Espinoza   Positive Ordered Solutions of a Discrete
                                  Analogue of a Nonlinear Elliptic
                                  Eigenvalue Problem . . . . . . . . . . . 760--767
             Vicente F. Candela   Computation of Shift Operators in
                                  Orthonormal Compactly Supported Wavelet
                                  Bases  . . . . . . . . . . . . . . . . . 768--787
              Thomas K. DeLillo   The Accuracy of Numerical Conformal
                                  Mapping Methods: A Survey of Examples
                                  and Results  . . . . . . . . . . . . . . 788--812
                 M. Benassi and   
                    R. E. White   Parallel Numerical Solution of
                                  Variational Inequalities . . . . . . . . 813--830
         Mohammad Asadzadeh and   
               Kenneth Eriksson   On Adaptive Finite Element Methods for
                                  Fredholm Integral Equations of the
                                  Second Kind  . . . . . . . . . . . . . . 831--855
                Penny J. Davies   Numerical Stability and Convergence of
                                  Approximations of Retarded Potential
                                  Integral Equations . . . . . . . . . . . 856--875
                 K. Burrage and   
              F. H. Chipman and   
                     P. H. Muir   Order Results for Mono-Implicit
                                  Runge--Kutta Methods . . . . . . . . . . 876--891
          R. Baker Kearfott and   
                   Zhaoyun Xing   An Interval Step Control for
                                  Continuation Methods . . . . . . . . . . 892--914
             Jan Verschelde and   
           Pierre Verlinden and   
                   Ronald Cools   Homotopies Exploiting Newton Polytopes
                                  for Solving Sparse Polynomial Systems    915--930
                 John L. Spouge   Computation of the Gamma, Digamma, and
                                  Trigamma Functions . . . . . . . . . . . 931--944

SIAM Journal on Numerical Analysis
Volume 31, Number 4, August, 1994

              Ivo Babu\vska and   
              Gabriel Caloz and   
                 John E. Osborn   Special Finite Element Methods for a
                                  Class of Second Order Elliptic Problems
                                  with Rough Coefficients  . . . . . . . . 945--981
               C. N. Dawson and   
            C. J. Van Duijn and   
                  M. F. Wheeler   Characteristic-Galerkin Methods for
                                  Contaminant Transport with
                                  Nonequilibrium Adsorption Kinetics . . . 982--999
                 S. Larsson and   
               J. M. Sanz-Serna   The Behavior of Finite Element Solutions
                                  of Semilinear Parabolic Problems Near
                                  Stationary Points  . . . . . . . . . . . 1000--1018
         Randall J. LeVeque and   
                     Zhi Lin Li   The Immersed Interface Method for
                                  Elliptic Equations with Discontinuous
                                  Coefficients and Singular Sources  . . . 1019--1044
            Clint N. Dawson and   
                 Todd F. Dupont   Explicit/Implicit, Conservative Domain
                                  Decomposition Procedures for Parabolic
                                  Problems Based on Block-Centered Finite
                                  Differences  . . . . . . . . . . . . . . 1045--1061
              Zhangxin Chen and   
              Bernardo Cockburn   Error Estimates for a Finite Element
                                  Method for the Drift-Diffusion
                                  Semiconductor Device Equations . . . . . 1062--1089
              C. I. Draghicescu   An Efficient Implementation of Particle
                                  Methods for the Incompressible Euler
                                  Equations  . . . . . . . . . . . . . . . 1090--1108
                 O. Coulaud and   
                      A. Henrot   Numerical Approximation of a Free
                                  Boundary Problem Arising in
                                  Electromagnetic Shaping  . . . . . . . . 1109--1127
           Bernard Bialecki and   
                 Xiao-Chuan Cai   ${H}^1$-norm error bounds for piecewise
                                  Hermite bicubic orthogonal spline
                                  collocation schemes for elliptic
                                  boundary value problems  . . . . . . . . 1128--1146
             Roger K. Alexander   Stability of Runge--Kutta Methods for
                                  Stiff Ordinary Differential Equations    1147--1168
                P. W. Sharp and   
                   J. H. Verner   Completely Imbedded Runge--Kutta Pairs   1169--1190
                 Ami Harten and   
                Itai Yad-Shalom   Fast Multiresolution Algorithms for
                                  Matrix-Vector Multiplication . . . . . . 1191--1218
                 Kurt S. Riedel   Generalized Epsilon-Pseudospectra  . . . 1219--1225
          Andrew V. Knyazev and   
       Alexander L. Skorokhodov   Preconditioned Gradient-Type Iterative
                                  Methods in a Subspace for Partial
                                  Generalized Symmetric Eigenvalue
                                  Problems . . . . . . . . . . . . . . . . 1226--1239
               Wim Sweldens and   
                Robert Piessens   Quadrature Formulae and Asymptotic Error
                                  Expansions for Wavelet Approximations of
                                  Smooth Functions . . . . . . . . . . . . 1240--1264

SIAM Journal on Numerical Analysis
Volume 31, Number 5, October, 1994

               I. Babu\vska and   
         T. von Petersdorff and   
                   B. Andersson   Numerical treatment of vertex
                                  singularities and intensity factors for
                                  mixed boundary value problems for the
                                  Laplace equation in ${\bf R}^3$  . . . . 1265--1288
                  Jing Zhao and   
                     David Hoff   A Convergent Finite-Difference Scheme
                                  for the Navier--Stokes Equations of
                                  One-Dimensional, Nonisentropic,
                                  Compressible Flow  . . . . . . . . . . . 1289--1311
             Petr Klou\vcek and   
                   Franz S. Rys   Stability of the fractional step
                                  ${\Theta}$-scheme for the nonstationary
                                  Navier--Stokes equations . . . . . . . . 1312--1335
                 Kalman Z. Meth   Stable Numerical Boundary Conditions for
                                  Stokes Equations . . . . . . . . . . . . 1336--1351
            David Silvester and   
                  Andrew Wathen   Fast Iterative Solution of Stabilised
                                  Stokes Systems Part II: Using General
                                  Block Preconditioners  . . . . . . . . . 1352--1367
           A. I. Pehlivanov and   
                G. F. Carey and   
                  R. D. Lazarov   Least-Squares Mixed Finite Elements for
                                  Second-Order Elliptic Problems . . . . . 1368--1377
                  M. Ganesh and   
               I. G. Graham and   
              J. Sivaloganathan   A Pseudospectral Three-Dimensional
                                  Boundary Integral Method Applied to a
                                  Nonlinear Mode Problem from Finite
                                  Elasticity . . . . . . . . . . . . . . . 1378--1414
  Dá\vsa Janovská   Numerical Treatment of Subspace-Breaking
                                  Takens--Bogdanov Points with Nonlinear
                                  Degeneracies . . . . . . . . . . . . . . 1415--1433
                 K. Burrage and   
                    P. W. Sharp   A Class of Variable-Step Explicit
                                  Nordsieck Multivalue Methods . . . . . . 1434--1451
            A. R. Humphries and   
                   A. M. Stuart   Runge--Kutta Methods for Dissipative and
                                  Gradient Dynamical Systems . . . . . . . 1452--1485
                        Jun Liu   A Sensitivity Analysis for Least-Squares
                                  Ill-Posed Problems Using the Haar Basis  1486--1496
              J. A. C. Weideman   Computation of the Complex Error
                                  Function . . . . . . . . . . . . . . . . 1497--1518

SIAM Journal on Numerical Analysis
Volume 31, Number 6, December, 1994

                Wai-Sun Don and   
                 David Gottlieb   The Chebyshev--Legendre Method:
                                  Implementing Legendre Methods on
                                  Chebyshev Points . . . . . . . . . . . . 1519--1534
              Alfred S. Carasso   Overcoming Hölder continuity in ill-posed
                                  continuation problems  . . . . . . . . . 1535--1557
                  S.-K. Tin and   
                  N. Kopell and   
              C. K. R. T. Jones   Invariant Manifolds and Singularly
                                  Perturbed Boundary Value Problems  . . . 1558--1576
             Gunilla Kreiss and   
          Heinz-Otto Kreiss and   
            N. Anders Petersson   On the Convergence to Steady State of
                                  Solutions of Nonlinear
                                  Hyperbolic-Parabolic Systems . . . . . . 1577--1604
           Richard E. Ewing and   
         Raytcho D. Lazarov and   
            Apostol T. Vassilev   Finite Difference Scheme for Parabolic
                                  Problems on Composite Grids with
                                  Refinement in Time and Space . . . . . . 1605--1622
           Charles I. Goldstein   Preconditioning Nonconforming Finite
                                  Element Methods  . . . . . . . . . . . . 1623--1644
            Howard C. Elman and   
                  Gene H. Golub   Inexact and Preconditioned Uzawa
                                  Algorithms for Saddle Point Problems . . 1645--1661
          Maksymilian Dryja and   
             Barry F. Smith and   
                Olof B. Widlund   Schwarz Analysis of Iterative
                                  Substructuring Algorithms for Elliptic
                                  Problems in Three Dimensions . . . . . . 1662--1694
                    Achi Brandt   Rigorous Quantitative Analysis of
                                  Multigrid, I: Constant Coefficients
                                  Two-Level Cycle with ${L}_2$-Norm  . . . 1695--1730
           Stephen F. McCormick   Multilevel Adaptive Methods for Elliptic
                                  Eigenproblems: A Two-Level Convergence
                                  Theory . . . . . . . . . . . . . . . . . 1731--1745
           James H. Bramble and   
                 Do Y. Kwak and   
              Joseph E. Pasciak   Uniform Convergence of Multigrid V-Cycle
                                  Iterations for Indefinite and
                                  Nonsymmetric Problems  . . . . . . . . . 1746--1763
                    S. Zeng and   
                   P. Wesseling   Multigrid Solution of the Incompressible
                                  Navier--Stokes Equations in General
                                  Coordinates  . . . . . . . . . . . . . . 1764--1784
                     Z. Cai and   
                 R. Lazarov and   
           T. A. Manteuffel and   
                S. F. McCormick   First-Order System Least Squares for
                                  Second-Order Partial Differential
                                  Equations: Part I  . . . . . . . . . . . 1785--1799
       Thomas A. Manteuffel and   
         Michael Steuerwalt and   
                Burton Wendroff   Dedication to Seymour V. Parter on the
                                  occasion of his 65th birthday  . . . . . vii--ix


SIAM Journal on Numerical Analysis
Volume ??, Number ??, 1994

                    S. Ning and   
                 R. B. Kearfott   A Comparison of Methods for Estimating
                                  the Solution Hull of Systems of Linear
                                  Interval Equations . . . . . . . . . . . ??


SIAM Journal on Numerical Analysis
Volume 32, Number 1, February, 1995

                   Donald Estep   \em A Posteriori Error Bounds and Global
                                  Error Control for Approximation of
                                  Ordinary Differential Equations  . . . . 1--48
              K. R. Jackson and   
           S. P. Nòrsett   The Potential for Parallelism in
                                  Runge--Kutta Methods. Part 1: RK
                                  Formulas in Standard Form  . . . . . . . 49--82
                   X. C. Hu and   
           T. A. Manteuffel and   
               S. McCormick and   
                  T. F. Russell   Accurate Discretization for Singular
                                  Perturbations: The One-Dimensional Case  83--109
                   Tao Tang and   
                 Zhen Huan Teng   Error Bounds for Fractional Step Methods
                                  for Conservation Laws with Source Terms  110--127
                S. F. Ashby and   
                P. N. Brown and   
                 M. R. Dorr and   
                A. C. Hindmarsh   A Linear Algebraic Analysis of Diffusion
                                  Synthetic Acceleration for the Boltzmann
                                  Transport Equation . . . . . . . . . . . 128--178
                 Peter N. Brown   A Linear Algebraic Development of
                                  Diffusion Synthetic Acceleration for
                                  Three-Dimensional Transport Equations    179--214
                   Jie Shen and   
                    Roger Temam   Nonlinear Galerkin method using
                                  Chebyshev and Legendre polynomials. I.
                                  The one-dimensional case . . . . . . . . 215--234
     Panayot S. Vassilevski and   
                   Junping Wang   An Application of the Abstract
                                  Multilevel Theory to Nonconforming
                                  Finite Element Methods . . . . . . . . . 235--248
               M.-P. Istace and   
                   J.-P. Thiran   On the Third and Fourth Zolotarev
                                  Problems in the Complex Plane  . . . . . 249--259
         Mario Büttner and   
        Bernhard A. Schmitt and   
            Rüdiger Weiner   ${W}$-methods with automatic
                                  partitioning by Krylov techniques for
                                  large stiff systems  . . . . . . . . . . 260--284
         Richard J. Charron and   
                         Min Hu   ${A}$-contractivity of linearly implicit
                                  multistep methods  . . . . . . . . . . . 285--295
           Jean-Pierre Dussault   Numerical Stability and Efficiency of
                                  Penalty Algorithms . . . . . . . . . . . 296--317
          Patrick J. Rabier and   
           Werner C. Rheinboldt   On the Numerical Solution of the
                                  Euler--Lagrange Equations  . . . . . . . 318--329
              J. A. C. Weideman   Erratum: ``Computation of the complex
                                  error function'' [SIAM J. Numer. Anal.
                                  \bf 7 (1970), no. 1, 187--198] . . . . . 330--331

SIAM Journal on Numerical Analysis
Volume 32, Number 2, April, 1995

          Seymour V. Parter and   
              Ernest E. Rothman   Preconditioning Legendre Spectral
                                  Collocation Approximations to Elliptic
                                  Problems . . . . . . . . . . . . . . . . 333--385
                       Jie Shen   On Error Estimates of the Penalty Method
                                  for Unsteady Navier--Stokes Equations    386--403
              Todd Arbogast and   
                Mary F. Wheeler   A Characteristics-Mixed Finite Element
                                  Method for Advection-Dominated Transport
                                  Problems . . . . . . . . . . . . . . . . 404--424
                Rodolfo Bermejo   A Galerkin-Characteristic Algorithm for
                                  Transport-Diffusion Equations  . . . . . 425--454
                  Zhangxin Chen   Finite Element Analysis of the
                                  One-Dimensional Full Drift-Diffusion
                                  Semiconductor Model  . . . . . . . . . . 455--483
                 Guy Barles and   
            Christine Georgelin   A Simple Proof of Convergence for an
                                  Approximation Scheme for Computing
                                  Motions by Mean Curvature  . . . . . . . 484--500
                   C. T. Kelley   A Fast Multilevel Algorithm for Integral
                                  Equations  . . . . . . . . . . . . . . . 501--513
                I. G. Rosen and   
                  Chunming Wang   A Multilevel Technique for the
                                  Approximate Solution of Operator
                                  Lyapunov and Algebraic Riccati Equations 514--541
                   Lung An Ying   Convergence of Vortex Methods for
                                  Three-Dimensional Euler Equations in
                                  Bounded Domains  . . . . . . . . . . . . 542--559
                    Adam Zem\la   On the Fundamental Solutions for the
                                  Difference Helmholtz Operator  . . . . . 560--570
              Baruch Cahlon and   
      Devadatta M. Kulkarni and   
                      Peter Shi   Stepwise Stability for the Heat Equation
                                  with a Nonlocal Constraint . . . . . . . 571--593
           Andrew T. Peplow and   
        Simon N. Chandler-Wilde   Approximate Solution of Second Kind
                                  Integral Equations on Infinite
                                  Cylindrical Surfaces . . . . . . . . . . 594--609
                Sergey P. Shary   On Optimal Solution of Interval Linear
                                  Equations  . . . . . . . . . . . . . . . 610--630
          M. A. H. Dempster and   
                R. R. Merkovsky   A Practical Geometrically Convergent
                                  Cutting Plane Algorithm  . . . . . . . . 631--644
               Jörg Peters   ${C}^1$-surface splines  . . . . . . . . 645--666
                    Mark Taylor   Cubature for the Sphere and the Discrete
                                  Spherical Harmonic Transform . . . . . . 667--670
                 P. Köhler   Order-Preserving Mesh Spacing for
                                  Compound Quadrature Formulas and
                                  Functions with Endpoint Singularities    671--686

SIAM Journal on Numerical Analysis
Volume 32, Number 3, June, 1995

                B. Cockburn and   
                  F. Coquel and   
                  P. G. LeFloch   Convergence of the Finite Volume Method
                                  for Multidimensional Conservation Laws   687--705
           Kenneth Eriksson and   
                  Claes Johnson   Adaptive finite element methods for
                                  parabolic problems. II. Optimal error
                                  estimates in ${L}_\infty {L}_2$ and
                                  ${L}_\infty {L}_\infty$  . . . . . . . . 706--740
  Heinrich Freistühler and   
                E. Bruce Pitman   A Numerical Study of a Rotationally
                                  Degenerate Hyperbolic System. Part II.
                                  The Cauchy Problem . . . . . . . . . . . 741--753
             Zhen Huan Teng and   
               Lung An Ying and   
                 Ping Wen Zhang   Convergence of the
                                  Variable-Elliptic-Vortex Method for
                                  Euler Equations  . . . . . . . . . . . . 754--774
               S. Benharbit and   
                 A. Chalabi and   
                     J. P. Vila   Numerical Viscosity and Convergence of
                                  Finite Volume Methods for Conservation
                                  Laws with Boundary Conditions  . . . . . 775--796
              Uri M. Ascher and   
            Steven J. Ruuth and   
             Brian T. R. Wetton   Implicit-Explicit Methods for
                                  Time-Dependent Partial Differential
                                  Equations  . . . . . . . . . . . . . . . 797--823
                     L. Lin and   
               J. B. Temple and   
                        J. Wang   A Comparison of Convergence Rates for
                                  Godunov's Method and Glimm's Method in
                                  Resonant Nonlinear Systems of
                                  Conservation Laws  . . . . . . . . . . . 824--840
               Long Wei Lin and   
               Blake Temple and   
                  Jing Hua Wang   Suppression of Oscillations in Godunov's
                                  Method for a Resonant Non-Strictly
                                  Hyperbolic System  . . . . . . . . . . . 841--864
                   Eun-Jae Park   Mixed Finite Element Methods for
                                  Nonlinear Second-Order Elliptic Problems 865--885
     Pedro Martins Girão   Convergence of a Crystalline Algorithm
                                  for the Motion of a Simple Closed Convex
                                  Curve by Weighted Curvature  . . . . . . 886--899
                    Ling Ma and   
             Noel J. Walkington   On Algorithms for Nonconvex Optimization
                                  in the Calculus of Variations  . . . . . 900--923
                   A. Rathsfeld   Nyström's Method and Iterative Solvers
                                  for the Solution of the Double-Layer
                                  Potential Equation Over Polyhedral
                                  Boundaries . . . . . . . . . . . . . . . 924--951
                     Fu Ming Ma   Numerical Calculation of Center
                                  Manifolds for a Class of
                                  Infinite-Dimensional Systems with
                                  Applications . . . . . . . . . . . . . . 952--968
                 Yajun Yang and   
            Kendall E. Atkinson   Two-Dimensional Quadrature for Functions
                                  with a Point Singularity on a Triangular
                                  Region . . . . . . . . . . . . . . . . . 969--983

SIAM Journal on Numerical Analysis
Volume 32, Number 4, August, 1995

                  Y. Achdou and   
                   O. Pironneau   A Fast Solver for Navier--Stokes
                                  Equations in the Laminar Regime Using
                                  Mortar Finite Element and Boundary
                                  Element Methods  . . . . . . . . . . . . 985--1016
                  E. Weinan and   
                   Jian-Guo Liu   Projection method. I. Convergence and
                                  numerical boundary layers  . . . . . . . 1017--1057
              Claes Johnson and   
             Rolf Rannacher and   
                     Mats Boman   Numerics and Hydrodynamic Stability:
                                  Toward Error Control in Computational
                                  Fluid Dynamics . . . . . . . . . . . . . 1058--1079
                 Y. Brenier and   
                   G.-H. Cottet   Convergence of Particle Methods with
                                  Random Rezoning for the Two-Dimensional
                                  Euler and Navier--Stokes Equations . . . 1080--1097
                  S. Mas-Gallic   Particle Approximation of a Linear
                                  Convection-Diffusion Problem with
                                  Neumann Boundary Conditions  . . . . . . 1098--1125
                    Irad Yavneh   Multigrid Smoothing Factors for
                                  Red-Black Gauss--Seidel Relaxation
                                  Applied to a Class of Elliptic Operators 1126--1138
            Fabienne Berger and   
 Jean-François Colombeau   Numerical Solutions of One-Pressure
                                  Models in Multifluid Flows . . . . . . . 1139--1154
                       Gang Bao   Finite Element Approximation of Time
                                  Harmonic Waves in Periodic Structures    1155--1169
             Martine Marion and   
                     Jinchao Xu   Error Estimates on a New Nonlinear
                                  Galerkin Method Based on Two-Grid Finite
                                  Elements . . . . . . . . . . . . . . . . 1170--1184
            Richard S. Falk and   
                   Jian-Ming Xu   Convergence of a Second-Order Scheme for
                                  the Nonlinear Dynamical Equations of
                                  Elastic Rods . . . . . . . . . . . . . . 1185--1209
                   Roger Pierre   Optimal selection of the bubble function
                                  in the stabilization of the ${\rm
                                  P}1$-${\rm P}1$ element for the Stokes
                                  problem  . . . . . . . . . . . . . . . . 1210--1224
               Philip T. Keenan   Thermal Simulation of Pipeline Flow  . . 1225--1262
 Anne-Sophie Bonnet-Bendhia and   
                    Nabil Gmati   Spectral Approximation of a Boundary
                                  Condition for an Eigenvalue Problem  . . 1263--1279
         A. Bermúdez and   
            R. Durán and   
           M. A. Muschietti and   
        R. Rodríguez and   
                     J. Solomin   Finite Element Vibration Analysis of
                                  Fluid-Solid Systems Without Spurious
                                  Modes  . . . . . . . . . . . . . . . . . 1280--1295
                 Ch. Lubich and   
                    K. Nipp and   
                     D. Stoffer   Runge--Kutta Solutions of Stiff
                                  Differential Equations Near Stationary
                                  Points . . . . . . . . . . . . . . . . . 1296--1307
        Alexander P. Morgan and   
          Andrew J. Sommese and   
             Charles W. Wampler   A Product-Decomposition Bound for Bezout
                                  Numbers  . . . . . . . . . . . . . . . . 1308--1325

SIAM Journal on Numerical Analysis
Volume 32, Number 5, October, 1995

             Bracy H. Elton and   
         C. David Levermore and   
              Garry H. Rodrigue   Convergence of Convective-Diffusive
                                  Lattice Boltzmann Methods  . . . . . . . 1327--1354
  V. S. Ryaben'ki\uì and   
                  S. V. Tsynkov   Artificial Boundary Conditions for the
                                  Numerical Solution of External Viscous
                                  Flow Problems  . . . . . . . . . . . . . 1355--1389
              Z. Jackiewicz and   
                    S. Tracogna   A General Class of Two-Step Runge--Kutta
                                  Methods for Ordinary Differential
                                  Equations  . . . . . . . . . . . . . . . 1390--1427
                Yingkang Hu and   
                  Xiang Ming Yu   Discrete Modulus of Smoothness of
                                  Splines with Equally Spaced Knots  . . . 1428--1435
                 Luca Dieci and   
                    Jens Lorenz   Computation of Invariant Tori by the
                                  Method of Characteristics  . . . . . . . 1436--1474
                 Anne C. Morlet   Convergence of the Sinc Method for a
                                  Fourth-Order Ordinary Differential
                                  Equation with an Application . . . . . . 1475--1503
    Maurice H. P. M. van Putten   A Two-Dimensional Numerical
                                  Implementation of Magnetohydrodynamics
                                  in Divergence Form . . . . . . . . . . . 1504--1518
              P. E. Kloeden and   
                  E. Platen and   
                     N. Hofmann   Extrapolation Methods for the Weak
                                  Approximation of Ito Diffusions  . . . . 1519--1534
                 J. Saranen and   
                  L. Schroderus   Some Discrete Methods for Boundary
                                  Integral Equations on Smooth Closed
                                  Curves . . . . . . . . . . . . . . . . . 1535--1564
                    H. T. Huynh   Accurate Upwind Methods for the Euler
                                  Equations  . . . . . . . . . . . . . . . 1565--1619
                 Zhen Yue Zhang   An Inverse Extreme Eigenpair Problem and
                                  Its Parallel Iterative Solution for
                                  Symmetric Tridiagonal Matrices . . . . . 1620--1634
              Uri M. Ascher and   
               Linda R. Petzold   The Numerical Solution of
                                  Delay-Differential-Algebraic Equations
                                  of Retarded and Neutral Type . . . . . . 1635--1657
              Steven Pruess and   
          Charles T. Fulton and   
                    Yuantao Xie   An Asymptotic Numerical Method for a
                                  Class of Singular Sturm--Liouville
                                  Problems . . . . . . . . . . . . . . . . 1658--1676
                    De Kang Mao   A Shock Tracking Technique Based on
                                  Conservation in One Space Dimension  . . 1677--1703
         Randall J. LeVeque and   
                     Zhi Lin Li   Erratum: ``The immersed interface method
                                  for elliptic equations with
                                  discontinuous coefficients and singular
                                  sources'' [SIAM J. Numer. Anal. \bf 31
                                  (1994), no. 4, 1019--1044, MR 95g:65139] 1704--1704

SIAM Journal on Numerical Analysis
Volume 32, Number 6, December, 1995

                B. D. Reddy and   
                     J. C. Simo   Stability and Convergence of a Class of
                                  Enhanced Strain Methods  . . . . . . . . 1705--1728
           Kenneth Eriksson and   
                  Claes Johnson   Adaptive finite element methods for
                                  parabolic problems. IV. Nonlinear
                                  problems . . . . . . . . . . . . . . . . 1729--1749
           Kenneth Eriksson and   
                  Claes Johnson   Adaptive Finite Element Methods for
                                  Parabolic Problems V: Long-Time
                                  Integration  . . . . . . . . . . . . . . 1750--1763
                 Ben Yu Guo and   
                   Wei Ming Cao   A Spectral Method for the Fluid Flow
                                  with Low Mach Number on the Spherical
                                  Surface  . . . . . . . . . . . . . . . . 1764--1777
                 Weimin Han and   
                  B. Daya Reddy   On the Finite Element Method for Mixed
                                  Variational Inequalities Arising in
                                  Elastoplasticity . . . . . . . . . . . . 1778--1807
                  J.-D. Benamou   A Domain Decomposition Method for the
                                  Polar Factorization of Vector-Valued
                                  Mappings . . . . . . . . . . . . . . . . 1808--1838
                      S. Li and   
                     L. Vu-Quoc   Finite Difference Calculus Invariant
                                  Structure of a Class of Algorithms for
                                  the Nonlinear Klein--Gordon Equation . . 1839--1875
               Anton Arnold and   
            Christian Ringhofer   Operator Splitting Methods Applied to
                                  Spectral Discretizations of Quantum
                                  Transport Equations  . . . . . . . . . . 1876--1894
      Francine Catté and   
     Françoise Dibos and   
               Georges Koepfler   A Morphological Scheme for Mean
                                  Curvature Motion and Applications to
                                  Anisotropic Diffusion and Motion of
                                  Level Sets . . . . . . . . . . . . . . . 1895--1909
              V. D. Didenko and   
                    S. Roch and   
                  B. Silbermann   Approximation Methods for Singular
                                  Integral Equations with Conjugation on
                                  Curves with Corners  . . . . . . . . . . 1910--1939
               A. M. Stuart and   
                A. R. Humphries   The Essential Stability of Local Error
                                  Control for Dynamical Systems  . . . . . 1940--1971
       Stanley C. Eisenstat and   
               Ilse C. F. Ipsen   Relative Perturbation Techniques for
                                  Singular Value Problems  . . . . . . . . 1972--1988
                    M. E. Hosea   A New Recurrence for Computing
                                  Runge--Kutta Truncation Error
                                  Coefficients . . . . . . . . . . . . . . 1989--2001


SIAM Journal on Numerical Analysis
Volume 33, Number 1, February, 1996

            J. M. Greenberg and   
                   A. Y. Leroux   A Well-Balanced Scheme for the Numerical
                                  Processing of Source Terms in Hyperbolic
                                  Equations  . . . . . . . . . . . . . . . 1--16
                  W. Layton and   
             H. W. J. Lenferink   A Multilevel Mesh Independence Principle
                                  for the Navier--Stokes Equations . . . . 17--30
              R. D. Lazarov and   
             Ilya D. Mishev and   
              P. S. Vassilevski   Finite Volume Methods for
                                  Convection-Diffusion Problems  . . . . . 31--55
                  Jim Rulla and   
             Noel J. Walkington   Optimal Rates of Convergence for
                                  Degenerate Parabolic Problems in Two
                                  Dimensions . . . . . . . . . . . . . . . 56--67
                      Jim Rulla   Error Analysis for Implicit
                                  Approximations to Solutions to Cauchy
                                  Problems . . . . . . . . . . . . . . . . 68--87
                  W. B. Liu and   
                John W. Barrett   Finite Element Approximation of Some
                                  Degenerate Monotone Quasilinear Elliptic
                                  Systems  . . . . . . . . . . . . . . . . 88--106
               Lutz Tobiska and   
     Rüdiger Verfürth   Analysis of a Streamline Diffusion
                                  Finite Element Method for the Stokes and
                                  Navier--Stokes Equations . . . . . . . . 107--127
               Michael Shub and   
                    Steve Smale   Complexity of Bezout's theorem. IV.
                                  Probability of success and extensions    128--148
       Sônia M. Gomes and   
                   Elsa Cortina   Convergence Estimates for the Wavelet
                                  Galerkin Method  . . . . . . . . . . . . 149--161
              Thomas I. Seidman   Optimal Filtering for the Backward Heat
                                  Equation . . . . . . . . . . . . . . . . 162--170
             Carsten Carstensen   Coupling of FEM and BEM for Interface
                                  Problems in Viscoplasticity and
                                  Plasticity with Hardening  . . . . . . . 171--207
                        Qiya Hu   Stieltjes derivatives and
                                  $\beta$-polynomial spline collocation
                                  for Volterra integrodifferential
                                  equations with singularities . . . . . . 208--220
               I. Babu\vska and   
                      C. Schwab   \em A Posteriori Error Estimation for
                                  Hierarchic Models of Elliptic Boundary
                                  Value Problems on Thin Domains . . . . . 221--246
           Wing Kwong Yeung and   
                Kenneth P. Bube   \em A Priori Estimates and Convergence
                                  for the Discrete Forward and Inverse
                                  Problems of Reflection Seismology  . . . 247--279
             David Gottlieb and   
                   Chi-Wang Shu   On the Gibbs Phenomenon III: Recovering
                                  Exponential Accuracy in a Sub-Interval
                                  From a Spectral Partial Sum of a
                                  Piecewise Analytic Function  . . . . . . 280--290
             Karl J. Havlak and   
       Harold Dean Victory, Jr.   The Numerical Analysis of Random
                                  Particle Methods Applied to
                                  Vlasov--Poisson--Fokker--Planck Kinetic
                                  Equations  . . . . . . . . . . . . . . . 291--317
           Richard E. Ewing and   
                      Hong Wang   An Optimal-Order Estimate for
                                  Eulerian--Lagrangian Localized Adjoint
                                  Methods for Variable-Coefficient
                                  Advection-Reaction Problems  . . . . . . 318--348
             Daniel Goldman and   
                 Tasso J. Kaper   ${N}$th-order operator splitting schemes
                                  and nonreversible systems  . . . . . . . 349--367
                    Laurent Jay   Symplectic Partitioned Runge--Kutta
                                  Methods for Constrained Hamiltonian
                                  Systems  . . . . . . . . . . . . . . . . 368--387
                Yingkang Hu and   
                  Xiang Ming Yu   The Degree of Copositive Approximation
                                  and a Computer Algorithm . . . . . . . . 388--398
                  James S. Otto   Multigrid Convergence for
                                  Discretizations of Singular Perturbation
                                  Problems with Grid-Aligned Flow  . . . . 399--416

SIAM Journal on Numerical Analysis
Volume 33, Number 2, April, 1996

        Francesc Ar\`andiga and   
             Vicente F. Candela   Multiresolution Standard Form of a
                                  Matrix . . . . . . . . . . . . . . . . . 417--434
                    Bodo Werner   Computation of Hopf Bifurcation with
                                  Bordered Matrices  . . . . . . . . . . . 435--455
                Jan Janssen and   
              Stefan Vandewalle   Multigrid Waveform Relaxation on Spatial
                                  Finite Element Meshes: The
                                  Continuous-Time Case . . . . . . . . . . 456--474
                Sebastian Reich   Symplectic Integration of Constrained
                                  Hamiltonian Systems by Composition
                                  Methods  . . . . . . . . . . . . . . . . 475--491
         Lawrence C. Cowsar and   
             Todd F. Dupont and   
                Mary F. Wheeler   \em A Priori Estimates for Mixed Finite
                                  Element Approximations of Second-Order
                                  Hyperbolic Equations with Absorbing
                                  Boundary Conditions  . . . . . . . . . . 492--504
               A. H. Schatz and   
                I. H. Sloan and   
                  L. B. Wahlbin   Superconvergence in Finite Element
                                  Methods and Meshes That Are Locally
                                  Symmetric with Respect to a Point  . . . 505--521
          Bernardo Cockburn and   
           Pierre-Alain Gremaud   Error Estimates for Finite Element
                                  Methods for Scalar Conservation Laws . . 522--554
                   Xuejun Zhang   Two-level Schwarz methods for the
                                  biharmonic problem discretized
                                  conforming ${C}^1$ elements  . . . . . . 555--570
                   Peter Alfeld   Upper and Lower Bounds on the Dimension
                                  of Multivariate Spline Spaces  . . . . . 571--588
                         W. Sun   Block Iterative Algorithms for Solving
                                  Hermite Bicubic Collocation Equations    589--601
                   B. Dubuc and   
                       S. Dubuc   Error Bounds on the Estimation of
                                  Fractal Dimension  . . . . . . . . . . . 602--626
             Randall J. LeVeque   High-Resolution Conservative Algorithms
                                  for Advection in Incompressible Flow . . 627--665
         Miloslav Feistauer and   
            George C. Hsiao and   
              Ralph E. Kleinman   Asymptotic and A Posteriori Error
                                  Estimates for Boundary Element Solutions
                                  of Hypersingular Integral Equations  . . 666--685
                      Jian Shen   A Block Finite Difference Scheme for
                                  Second-Order Elliptic Problems with
                                  Discontinuous Coefficients . . . . . . . 686--706
           Alain Largillier and   
             Balmohan V. Limaye   Finite-Rank Methods and Their Stability
                                  for Coupled Systems of Operator
                                  Equations  . . . . . . . . . . . . . . . 707--728
           Christoph Schwab and   
                     Manil Suri   The optimal $p$-version approximation of
                                  singularities on polyhedra in the
                                  boundary element method  . . . . . . . . 729--759
                Xu-Dong Liu and   
                  Stanley Osher   Nonoscillatory High Order Accurate
                                  Self-Similar Maximum Principle
                                  Satisfying Shock Capturing Schemes I . . 760--779
           R. Bruce Kellogg and   
                      Biyue Liu   A Finite Element Method for the
                                  Compressible Stokes Equations  . . . . . 780--788
                  Benqi Guo and   
              Norbert Heuer and   
               Ernst P. Stephan   The $h$-$p$ version of the boundary
                                  element method for transmission problems
                                  with piecewise analytic data . . . . . . 789--808
                      Y. Li and   
                   I. Babu\vska   A convergence analysis of a $p$-version
                                  finite element method for
                                  one-dimensional elastoplasticity problem
                                  with constitutive laws based on the
                                  gauge function method  . . . . . . . . . 809--842

SIAM Journal on Numerical Analysis
Volume 33, Number 3, June, 1996

             J. O. Langseth and   
                  A. Tveito and   
                     R. Winther   On the Convergence of Operator Splitting
                                  Applied to Conservation Laws with Source
                                  Terms  . . . . . . . . . . . . . . . . . 843--863
             Mimmo Iannelli and   
               Roberto Loro and   
            Fabio A. Milner and   
            Andrea Pugliese and   
             Guglielmo Rabbiolo   Numerical Analysis of a Model for the
                                  Spread of HIV/AIDS . . . . . . . . . . . 864--882
            Hong-Jiong Tian and   
                 Jiao-Xun Kuang   The Numerical Stability of Linear
                                  Multistep Methods for Delay Differential
                                  Equations with Many Delays . . . . . . . 883--889
             Stephen A. Vavasis   Stable Finite Elements for Problems with
                                  Wild Coefficients  . . . . . . . . . . . 890--916
           S. N. Papakostas and   
               Ch Tsitouras and   
                G. Papageorgiou   A General Family of Explicit
                                  Runge--Kutta Pairs of Orders 6(5)  . . . 917--936
                    Wei Cai and   
                 Jianzhong Wang   Adaptive Multiresolution Collocation
                                  Methods for Initial Boundary Value
                                  Problems of Nonlinear PDEs . . . . . . . 937--970
                      J. Ma and   
                 V. Rokhlin and   
                    S. Wandzura   Generalized Gaussian Quadrature Rules
                                  for Systems of Arbitrary Functions . . . 971--996
                  H. J. Schroll   Convergence of Implicit Finite
                                  Difference Methods Applied to Nonlinear
                                  Mixed Systems  . . . . . . . . . . . . . 997--1013
                   Smadar Karni   Far-Field Filtering Operators for
                                  Suppression of Reflections from
                                  Artificial Boundaries  . . . . . . . . . 1014--1047
             Hideaki Kaneko and   
                    Yuesheng Xu   Superconvergence of the Iterated
                                  Galerkin Methods for Hammerstein
                                  Equations  . . . . . . . . . . . . . . . 1048--1064
     Márcio A. Murad and   
        Vidar Thomée and   
            Abimael F. D. Loula   Asymptotic Behavior of Semidiscrete
                                  Finite-Element Approximations of Biot's
                                  Consolidation Problem  . . . . . . . . . 1065--1083
              Amiya K. Pani and   
               Todd E. Peterson   Finite Element Methods with Numerical
                                  Quadrature for Parabolic
                                  Integrodifferential Equations  . . . . . 1084--1105
             Willy Dörfler   A Convergent Adaptive Algorithm for
                                  Poisson's Equation . . . . . . . . . . . 1106--1124
               K. J. in 't Hout   A Note on Unconditional Maximum Norm
                                  Contractivity of Diagonally Split
                                  Runge--Kutta Methods . . . . . . . . . . 1125--1134
            Paul A. Farrell and   
          John J. H. Miller and   
           Eugene O'Riordan and   
            Grigori I. Shishkin   A Uniformly Convergent Finite Difference
                                  Scheme for a Singularly Perturbed
                                  Semilinear Equation  . . . . . . . . . . 1135--1149
Vladimír Janovský and   
          Petr Plechá\vc   Local Numerical Analysis of Hopf
                                  Bifurcation  . . . . . . . . . . . . . . 1150--1168
                 Ben-Yu Guo and   
                        Jian Li   Fourier--Chebyshev Spectral Method for
                                  the Two-Dimensional Navier--Stokes
                                  Equations  . . . . . . . . . . . . . . . 1169--1187
       Folkmar A. Bornemann and   
               Bodo Erdmann and   
                 Ralf Kornhuber   \em A Posteriori Error Estimates for
                                  Elliptic Problems in Two and Three Space
                                  Dimensions . . . . . . . . . . . . . . . 1188--1204
                     Ami Harten   Multiresolution Representation of Data:
                                  A General Framework  . . . . . . . . . . 1205--1256

SIAM Journal on Numerical Analysis
Volume 33, Number 4, August, 1996

         Domingo Alberto Tarzia   Numerical Analysis for the Heat Flux in
                                  a Mixed Elliptic Problem to Obtain a
                                  Discrete Steady-State Two-Phase Stefan
                                  Problem  . . . . . . . . . . . . . . . . 1257--1265
                 Gary Cohen and   
                   Patrick Joly   Construction and Analysis of
                                  Fourth-Order Finite Difference Schemes
                                  for the Acoustic Wave Equation in
                                  Nonhomogeneous Media . . . . . . . . . . 1266--1302
           Luca F. Pavarino and   
                Olof B. Widlund   A Polylogarithmic Bound for an Iterative
                                  Substructuring Method for Spectral
                                  Elements in Three Dimensions . . . . . . 1303--1335
                      Zi-Niu Wu   Uniqueness of Steady-State Solutions for
                                  Difference Equations on Overlapping
                                  Grids  . . . . . . . . . . . . . . . . . 1336--1357
                 Mark Ainsworth   A Preconditioner Based on Domain
                                  Decomposition for $h$-$p$ Finite-Element
                                  Approximation on Quasi-Uniform Meshes    1358--1376
            Stephen Wollman and   
               Ercument Ozizmir   Numerical Approximation of the
                                  One-Dimensional Vlasov--Poisson System
                                  with Periodic Boundary Conditions  . . . 1377--1409
                   Olli Jokinen   On Monotone Solutions of an
                                  Integrodifferential Equation in Linear
                                  Viscoelasticity  . . . . . . . . . . . . 1410--1424
       Ibrahim Bless Ranero and   
Tomás Chacón Rebello   An Efficient Two-Dimensional Vortex
                                  Method with Long Time Accuracy . . . . . 1425--1450
                        Yin Yan   Attractors and Error Estimates for
                                  Discretizations of Incompressible
                                  Navier--Stokes Equations . . . . . . . . 1451--1472
                 Riccardo Fazio   A Novel Approach to the Numerical
                                  Solution of Boundary Value Problems on
                                  Infinite Intervals . . . . . . . . . . . 1473--1483
                     Thanh Tran   Local Error Estimates for the Galerkin
                                  Method Applied to Strongly Elliptic
                                  Integral Equations on Open Curves  . . . 1484--1493
                    P. Joly and   
                 C. Poirier and   
              J. E. Roberts and   
                      P. Trouve   A New Nonconforming Finite Element
                                  Method for the Computation of
                                  Electromagnetic Guided Waves I:
                                  Mathematical Analysis  . . . . . . . . . 1494--1525
                       Lixin Wu   Dufort--Frankel-type methods for linear
                                  and nonlinear Schrödinger equations . . . 1526--1533
                Lucilla Corrias   Fast Legendre--Fenchel Transform and
                                  Applications to Hamilton--Jacobi
                                  Equations and Conservation Laws  . . . . 1534--1558
    Christopher T. H. Baker and   
         Christopher A. H. Paul   A Global Convergence Theorem for a Class
                                  of Parallel Continuous Explicit
                                  Runge--Kutta Methods and Vanishing Lag
                                  Delay Differential Equations . . . . . . 1559--1576
                 J. Saranen and   
                     G. Vainkko   Trigonometric Collocation Methods with
                                  Product Integration for Boundary
                                  Integral Equations on Closed Curves  . . 1577--1596
                   Weinan E and   
                   Jian-Guo Liu   Projection method. II. Godunov--Ryabenki
                                  analysis . . . . . . . . . . . . . . . . 1597--1621
               Anton Arnold and   
            Christian Ringhofer   An Operator Splitting Method for the
                                  Wigner--Poisson Problem  . . . . . . . . 1622--1643
               Masaki Utumi and   
               Ryuji Takaki and   
                   Toshio Kawai   Optimal Time Step Control for the
                                  Numerical Solution of Ordinary
                                  Differential Equations . . . . . . . . . 1644--1653
                    C. Palencia   Maximum Norm Analysis of Completely
                                  Discrete Finite Element Methods for
                                  Parabolic Problems . . . . . . . . . . . 1654--1668
              Todd Arbogast and   
            Mary F. Wheeler and   
                 Nai-Ying Zhang   A Nonlinear Mixed Finite Element Method
                                  for a Degenerate Parabolic Equation
                                  Arising in Flow in Porous Media  . . . . 1669--1687

SIAM Journal on Numerical Analysis
Volume 33, Number 5, October, 1996

                    A. Dutt and   
                      M. Gu and   
                     V. Rokhlin   Fast Algorithms for Polynomial
                                  Interpolation, Integration, and
                                  Differentiation  . . . . . . . . . . . . 1689--1711
                 Peter Albrecht   The Runge--Kutta Theory in a Nutshell    1712--1735
            Barry Bernstein and   
          Kathleen A. Feigl and   
                Elwood T. Olsen   A First-Order Exactly Incompressible
                                  Finite Element for Axisymmetric Fluid
                                  Flow . . . . . . . . . . . . . . . . . . 1736--1758
                     Jinchao Xu   Two-Grid Discretization Techniques for
                                  Linear and Nonlinear PDEs  . . . . . . . 1759--1777
             David Gottlieb and   
          Bertil Gustafsson and   
               Pelle Olsson and   
                      Bo Strand   On the Superconvergence of Galerkin
                                  Methods for Hyperbolic IBVP  . . . . . . 1778--1796
            J. Thomas Beale and   
              Thomas Y. Hou and   
                 John Lowengrub   Convergence of a Boundary Integral
                                  Method for Water Waves . . . . . . . . . 1797--1843
                 L. Vozovoi and   
                 M. Israeli and   
                    A. Averbuch   Analysis and Application of
                                  Fourier--Gegenbauer Method to Stiff
                                  Differential Equations . . . . . . . . . 1844--1863
               Thomas Kerkhoven   Piecewise Linear Petrov--Galerkin Error
                                  Estimates for the Box Method . . . . . . 1864--1884
                 Bernd Heinrich   The Fourier-Finite-Element Method for
                                  Poisson's Equation in Axisymmetric
                                  Domains with Edges . . . . . . . . . . . 1885--1911
                A. Griewank and   
                  G. W. Reddien   The Approximate Solution of Defining
                                  Equations for Generalized Turning Points 1912--1920
              Uri M. Ascher and   
                       Ping Lin   Sequential Regularization Methods for
                                  Higher Index DAEs with Constraint
                                  Singularities: The Linear Index-$2$ Case 1921--1940
               Peter Kunkel and   
                Volker Mehrmann   A New Class of Discretization Methods
                                  for the Solution of Linear
                                  Differential-Algebraic Equations with
                                  Variable Coefficients  . . . . . . . . . 1941--1961
                  Mark C. Haase   Extra Smoothness Requirements for
                                  Galerkin Methods for the Wave Equation   1962--1968
                    J. Bahi and   
             E. Griepentrog and   
                  J. C. Miellou   Parallel Treatment of a Class of
                                  Differential-Algebraic Systems . . . . . 1969--1980
            N. André and   
                      M. Chipot   Uniqueness and Nonuniqueness for the
                                  Approximation of Quasilinear Elliptic
                                  Equations  . . . . . . . . . . . . . . . 1981--1994
             Fred J. Hickernell   Quadrature Error Bounds with
                                  Applications to Lattice Rules  . . . . . 1995--2016
                Ching-Yih Tseng   A Multiple-Exchange Algorithm for
                                  Complex Chebyshev Approximation by
                                  Polynomials on the Unit Circle . . . . . 2017--2049
          J. L. Estivalezes and   
                   P. Villedieu   High-Order Positivity-Preserving Kinetic
                                  Schemes for the Compressible Euler
                                  Equations  . . . . . . . . . . . . . . . 2050--2067
Vladimír Janovský and   
                   Viktor Seige   Qualitative Analysis of Newton's Flow    2068--2097

SIAM Journal on Numerical Analysis
Volume 33, Number 6, December, 1996

                   D. Issautier   Convergence of a Weighted Particle
                                  Method for Solving the Boltzmann
                                  (B.G.K.) Equation  . . . . . . . . . . . 2099--2119
              Ulrich Tautenhahn   Error Estimates for Regularization
                                  Methods in Hilbert Scales  . . . . . . . 2120--2130
                      Kurt Otto   Analysis of Preconditioners for
                                  Hyperbolic Partial Differential
                                  Equations  . . . . . . . . . . . . . . . 2131--2165
         Carsten Carstensen and   
               Ernst P. Stephan   Adaptive Boundary Element Methods for
                                  Some First Kind Integral Equations . . . 2166--2183
               Zhimin Zhang and   
                  Ivo Babu\vska   A Numerical Method for Steady State Free
                                  Boundary Problems  . . . . . . . . . . . 2184--2214
             Noel J. Walkington   Algorithms for Computing Motion by Mean
                                  Curvature  . . . . . . . . . . . . . . . 2215--2238
                 G. Larcher and   
                   A. Lauss and   
            H. Niederreiter and   
                  W. Ch. Schmid   Optimal Polynomials for $(t,m,s)$-Nets
                                  and Numerical Integration of
                                  Multivariate Walsh Series  . . . . . . . 2239--2253
            Yoshihiro Saito and   
                Taketomo Mitsui   Stability Analysis of Numerical Schemes
                                  for Stochastic Differential Equations    2254--2267
                 Weiwei Sun and   
             Weizhang Huang and   
              Robert D. Russell   Finite Difference Preconditioning for
                                  Solving Orthogonal Collocation Equations
                                  for Boundary Value Problems  . . . . . . 2268--2285
                   P. K. Jimack   A Best Approximation Property of the
                                  Moving Finite Element Method . . . . . . 2286--2302
              Z. Jackiewicz and   
                     M. Kwapisz   Convergence of Waveform Relaxation
                                  Methods for Differential-Algebraic
                                  Systems  . . . . . . . . . . . . . . . . 2303--2317
              Katalin Balla and   
             Roswitha März   Transfer of Boundary Conditions for DAEs
                                  of Index $1$ . . . . . . . . . . . . . . 2318--2332
                   Gerald Moore   Computation and Parametrisation of
                                  Invariant Curves and Tori  . . . . . . . 2333--2358
                O. Axelsson and   
                      W. Layton   A Two-Level Method for the
                                  Discretization of Nonlinear Boundary
                                  Value Problems . . . . . . . . . . . . . 2359--2374
              Sang Dong Kim and   
              Seymour V. Parter   Preconditioning Chebyshev Spectral
                                  Collocation Method for Elliptic Partial
                                  Differential Equations . . . . . . . . . 2375--2400
             Jean-David Benamou   A Domain Decomposition Method with
                                  Coupled Transmission Conditions for the
                                  Optimal Control of Systems Governed by
                                  Elliptic Partial Differential Equations  2401--2416
                Xuzhou Chen and   
                   Moody T. Chu   On the Least Squares Solution of Inverse
                                  Eigenvalue Problems  . . . . . . . . . . 2417--2430
                  D. Braess and   
               R. Verfürth   \em A Posteriori Error Estimators for
                                  the Raviart--Thomas Element  . . . . . . 2431--2444
                V. Caselles and   
                        B. Coll   Snakes in Movement . . . . . . . . . . . 2445--2456
                    C. Lovadina   A New Class of Mixed Finite Element
                                  Methods for Reissner--Mindlin Plates . . 2457--2467
                  G. E. Sneddon   Second-Order Spectral Differentiation
                                  Matrices . . . . . . . . . . . . . . . . 2468--2487
              G. D. Akrivis and   
             V. A. Dougalis and   
                 G. E. Zouraris   Error Estimates for Finite Difference
                                  Methods for a Wide-Angle ``Parabolic''
                                  Equation . . . . . . . . . . . . . . . . 2488--2509


SIAM Journal on Numerical Analysis
Volume 34, Number 1, February, 1997

          John Guckenheimer and   
                 Mark Myers and   
                Bernd Sturmfels   Computing Hopf bifurcations. I . . . . . 1--21
           S. N. Papakostas and   
                  Ch. Tsitouras   Highly Continuous Interpolants for
                                  One-Step ODE Solvers and their
                                  Application to Runge--Kutta Methods  . . 22--47
       Ebrahim M. Kasenally and   
              Valeria Simoncini   Analysis of a Minimum Perturbation
                                  Algorithm for Nonsymmetric Linear
                                  Systems  . . . . . . . . . . . . . . . . 48--66
                   Keith Miller   A Geometrical-Mechanical Interpretation
                                  of Gradient-Weighted Moving Finite
                                  Elements . . . . . . . . . . . . . . . . 67--90
                 K. Kunisch and   
                      X.-C. Tai   Sequential and Parallel Splitting
                                  Methods for Bilinear Control Problems in
                                  Hilbert Spaces . . . . . . . . . . . . . 91--118
                     A. T. Hill   Global Dissipativity for $A$-Stable
                                  Methods  . . . . . . . . . . . . . . . . 119--142
                 Weimin Han and   
              B. Daya Reddy and   
           Gregory C. Schroeder   Qualitative and Numerical Analysis of
                                  Quasi-Static Problems in
                                  Elastoplasticity . . . . . . . . . . . . 143--177
               Zhiqiang Cai and   
                 Jan Mandel and   
                Steve McCormick   Multigrid Methods for Nearly Singular
                                  Linear Equations and Eigenvalue Problems 178--200
            John W. Barrett and   
                  Peter Knabner   Finite Element Approximation of the
                                  Transport of Reactive Solutes in Porous
                                  Media. Part $1$: Error Estimates for
                                  Nonequilibrium Adsorption Processes  . . 201--227
             Mark Ainsworth and   
                J. Tinsley Oden   \em A Posteriori Error Estimators for
                                  the Stokes and Oseen Equations . . . . . 228--245
         Russel E. Caflisch and   
                    Shi Jin and   
                 Giovanni Russo   Uniformly Accurate Schemes for
                                  Hyperbolic Systems with Relaxation . . . 246--281
       Rafael Muñoz-Sola   Polynomial Liftings on a Tetrahedron and
                                  Applications to the $h$-$p$ Version of
                                  the Finite Element Method in Three
                                  Dimensions . . . . . . . . . . . . . . . 282--314
            Frank Ihlenburg and   
                  Ivo Babu\vska   Finite Element Solution of the Helmholtz
                                  Equation with High Wave Number Part II:
                                  The $h$-$p$ Version of the FEM . . . . . 315--358
        Pablo Martín and   
José M. Ferrándiz   Multistep Numerical Methods Based on the
                                  Scheifele $G$-Functions with Application
                                  to Satellite Dynamics  . . . . . . . . . 359--375
               J. G. Verwer and   
                B. P. Sommeijer   Stability Analysis of an Odd-Even-Line
                                  Hopscotch Method for Three-Dimensional
                                  Advection-Diffusion Problems . . . . . . 376--388
          Ch. G. Makridakis and   
                   I. Babu\vska   On the Stability of the Discontinuous
                                  Galerkin Method for the Heat Equation    389--401
                 Luca Dieci and   
          Robert D. Russell and   
              Erik S. Van Vleck   On the Computation of Lyapunov Exponents
                                  for Continuous Dynamical Systems . . . . 402--423

SIAM Journal on Numerical Analysis
Volume 34, Number 2, April, 1997

               Zhiqiang Cai and   
       Thomas A. Manteuffel and   
           Stephen F. McCormick   First-Order System Least Squares for
                                  Second-Order Partial Differential
                                  Equations: Part II . . . . . . . . . . . 425--454
            John W. Barrett and   
                  Peter Knabner   Finite Element Approximation of The
                                  Transport of Reactive Solutes in Porous
                                  Media. Part II: Error Estimates for
                                  Equilibrium Adsorption Processes . . . . 455--479
                C. L. Chang and   
                 John J. Nelson   Least-Squares Finite Element Method for
                                  the Stokes Problem with Zero Residual of
                                  Mass Conservation  . . . . . . . . . . . 480--489
        Ricardo H. Nochetto and   
                  Claudio Verdi   Convergence Past Singularities for a
                                  Fully Discrete Approximation of
                                  Curvature-Driven Interfaces  . . . . . . 490--512
                     Igor Moret   A Note on the Superlinear Convergence of
                                  GMRES  . . . . . . . . . . . . . . . . . 513--516
               Andreas Neubauer   On Converse and Saturation Results for
                                  Tikhonov Regularization of Linear
                                  Ill-Posed Problems . . . . . . . . . . . 517--527
                  A. Bellen and   
                     L. Torelli   Unconditional Contractivity in the
                                  Maximum Norm of Diagonally Split
                                  Runge--Kutta Methods . . . . . . . . . . 528--543
              Rolf Stenberg and   
                     Manil Suri   An $h$-$p$ Error Analysis of MITC Plate
                                  Elements . . . . . . . . . . . . . . . . 544--568
                     Lu Han and   
             Larry L. Schumaker   Fitting Monotone Surfaces to Scattered
                                  Data Using $C^1$ Piecewise Cubics  . . . 569--585
               J. N. Lyness and   
                    I. H. Sloan   Cubature Rules of Prescribed Merit . . . 586--602
            Alain Bamberger and   
           Roland Glowinski and   
                 Quang Huy Tran   A Domain Decomposition Method for the
                                  Acoustic Wave Equation with
                                  Discontinuous Coefficients and Grid
                                  Change . . . . . . . . . . . . . . . . . 603--639
                   Zhimin Zhang   Analysis of Some Quadrilateral
                                  Nonconforming Elements for
                                  Incompressible Elasticity  . . . . . . . 640--663
                  Daniele Boffi   Three-Dimensional Finite Element Methods
                                  for the Stokes Problem . . . . . . . . . 664--670
               Patrick Joly and   
                  Jukka Tuomela   A New Theoretical Approach to Absorbing
                                  Layers . . . . . . . . . . . . . . . . . 671--698
              Michael Holst and   
              Stefan Vandewalle   Schwarz Methods: To Symmetrize or Not to
                                  Symmetrize . . . . . . . . . . . . . . . 699--722
                Brian R. Wetton   Analysis of the Spatial Error for a
                                  Class of Finite Difference Methods for
                                  Viscous Incompressible Flow  . . . . . . 723--755
               Mark A. Aves and   
         David F. Griffiths and   
              Desmond J. Higham   Does Error Control Suppress Spuriosity?  756--778
               Peixiong Lin and   
               K. W. Morton and   
                   E. Süli   Characteristic Galerkin Schemes for
                                  Scalar Conservation Laws in Two and
                                  Three Space Dimensions . . . . . . . . . 779--796
      Pascal Van Hentenryck and   
           David McAllester and   
                   Deepak Kapur   Solving Polynomial Systems Using a
                                  Branch and Prune Approach  . . . . . . . 797--827
              Todd Arbogast and   
            Mary F. Wheeler and   
                     Ivan Yotov   Mixed Finite Elements for Elliptic
                                  Problems with Tensor Coefficients as
                                  Cell-Centered Finite Differences . . . . 828--852
             Fred J. Hickernell   Erratum: ``Quadrature error bounds with
                                  applications to lattice rules'' [SIAM J.
                                  Numer. Anal. \bf 33 (1996), no. 5,
                                  1995--2016; MR 1 411 860]  . . . . . . . 853--866

SIAM Journal on Numerical Analysis
Volume 34, Number 3, June, 1997

                    W. Govaerts   Computation of Singularities in Large
                                  Nonlinear Systems  . . . . . . . . . . . 867--880
              Zhangxin Chen and   
               Richard E. Ewing   Stability and Convergence of a Finite
                                  Element Method for Reactive Transport in
                                  Ground Water . . . . . . . . . . . . . . 881--904
               Ming-Jun Lai and   
             Larry L. Schumaker   Scattered Data Interpolation Using $C^2$
                                  Supersplines of Degree Six . . . . . . . 905--921
                 T. Csendes and   
                        D. Ratz   Subdivision Direction Selection in
                                  Interval Methods for Global Optimization 922--938
              Sang Dong Kim and   
              Seymour V. Parter   Preconditioning Chebyshev Spectral
                                  Collocation by Finite-Difference
                                  Operators  . . . . . . . . . . . . . . . 939--958
             Zhen-huan Teng and   
                  Pingwen Zhang   Optimal $L^1$-Rate of Convergence for
                                  The Viscosity Method and Monotone Scheme
                                  to Piecewise Constant Solutions with
                                  Shocks . . . . . . . . . . . . . . . . . 959--978
           Randolph E. Bank and   
                  R. Kent Smith   Mesh Smoothing Using A Posteriori Error
                                  Estimates  . . . . . . . . . . . . . . . 979--997
                   Yiwei Li and   
                  Ivo Babu\vska   A Convergence Analysis of an $H$-Version
                                  Finite-Element Method with High-Order
                                  Elements for Two-Dimensional
                                  Elasto-Plasticity Problems . . . . . . . 998--1036
                 Xiaonan Wu and   
                      Houde Han   A Finite-Element Method for Laplace- and
                                  Helmholtz-Type Boundary Value Problems
                                  with Singularities . . . . . . . . . . . 1037--1050
                       Ping Lin   A Sequential Regularization Method for
                                  Time-Dependent Incompressible
                                  Navier--Stokes Equations . . . . . . . . 1051--1071
           James H. Bramble and   
          Joseph E. Pasciak and   
            Apostol T. Vassilev   Analysis of the Inexact Uzawa Algorithm
                                  for Saddle Point Problems  . . . . . . . 1072--1092
           R. Bruce Kellogg and   
                      Biyue Liu   A Penalized Finite-Element Method for a
                                  Compressible Stokes System . . . . . . . 1093--1105
             Weizhang Huang and   
              Robert D. Russell   Analysis of Moving Mesh Partial
                                  Differential Equations with Spatial
                                  Smoothing  . . . . . . . . . . . . . . . 1106--1126
           Philippe Balland and   
                Endre Süli   Analysis of the Cell-Vertex Finite
                                  Volume Method for Hyperbolic Problems
                                  with Variable Coefficients . . . . . . . 1127--1151
       Hans Joachim Schroll and   
               Aslak Tveito and   
                 Ragnar Winther   An $L^1$-Error Bound for a Semi-Implicit
                                  Difference Scheme Applied to a Stiff
                                  System of Conservation Laws  . . . . . . 1152--1166
     François Dubeau and   
                    Jean Savoie   Best Error Estimates for Odd and Even
                                  Degree Deficient Splines . . . . . . . . 1167--1184
               Chichia Chiu and   
                Noel Walkington   An ADI Method for Hysteretic
                                  Reaction-Diffusion Systems . . . . . . . 1185--1206
                 W.-J. Beyn and   
                J.-M. Kleinkauf   The Numerical Computation of Homoclinic
                                  Orbits for Maps  . . . . . . . . . . . . 1207--1236
                    S. Shaw and   
                M. K. Warby and   
                 J. R. Whiteman   Error Estimates with Sharp Constants for
                                  a Fading Memory Volterra Problem in
                                  Linear Solid Viscoelasticity . . . . . . 1237--1254
             Nilotpal Ghosh and   
           William W. Hager and   
                Purandar Sarmah   The Application of Eigenpair Stability
                                  to Block Diagonalization . . . . . . . . 1255--1268
                W. Govaerts and   
            J. Guckenheimer and   
                     A. Khibnik   Defining Functions for Multiple Hopf
                                  Bifurcations . . . . . . . . . . . . . . 1269--1288

SIAM Journal on Numerical Analysis
Volume 34, Number 4, August, 1997

                    S. Ning and   
                 R. B. Kearfott   A Comparison of Some Methods for Solving
                                  Linear Interval Equations  . . . . . . . 1289--1305
         Philippe Guillaume and   
               Mohamed Masmoudi   Solution to the Time-Harmonic Maxwell's
                                  Equations in a Waveguide; Use of
                                  Higher-Order Derivatives for Solving the
                                  Discrete Problem . . . . . . . . . . . . 1306--1330
               Sharad Kapur and   
               Vladimir Rokhlin   High-Order Corrected Trapezoidal
                                  Quadrature Rules for Singular Functions  1331--1356
              Karen A. Ames and   
              James F. Epperson   A Kernel-Based Method for the
                                  Approximate Solution of Backward
                                  Parabolic Problems . . . . . . . . . . . 1357--1390
                    B. Cano and   
               J. M. Sanz-Serna   Error Growth in the Numerical
                                  Integration of Periodic Orbits, with
                                  Application to Hamiltonian and
                                  Reversible Systems . . . . . . . . . . . 1391--1417
                Fu-Rong Lin and   
              Michael K. Ng and   
                Raymond H. Chan   Preconditioners for Wiener--Hopf
                                  Equations with High-Order Quadrature
                                  Rules  . . . . . . . . . . . . . . . . . 1418--1431
           Patricia K. Lamm and   
              Lars Eldén   Numerical Solution of First-Kind
                                  Volterra Equations by Sequential
                                  Tikhonov Regularization  . . . . . . . . 1432--1450
                 L. Vozovoi and   
                   A. Weill and   
                     M. Israeli   Spectrally Accurate Solution of
                                  Nonperiodic Differential Equations by
                                  the Fourier--Gegenbauer Method . . . . . 1451--1471
            Charles K. Chui and   
                      Dong Hong   Swapping Edges of Arbitrary
                                  Triangulations to Achieve the Optimal
                                  Order of Approximation . . . . . . . . . 1472--1482
             Gabriel James Lord   Attractors and Inertial Manifolds for
                                  Finite-Difference Approximations of the
                                  Complex Ginzburg--Landau Equation  . . . 1483--1512
                Marc Garbey and   
                  Hans G. Kaper   Heterogeneous Domain Decomposition for
                                  Singularly Perturbed Elliptic Boundary
                                  Value Problems . . . . . . . . . . . . . 1513--1544
              Zakaria Belhachmi   Nonconforming Mortar Element Methods for
                                  the Spectral Discretization of
                                  Two-Dimensional Fourth-Order Problems    1545--1573
                J. B. Burie and   
                      M. Marion   Multilevel Methods in Space and Time for
                                  the Navier--Stokes Equations . . . . . . 1574--1599
                  Claudio Padra   \em A Posteriori Error Estimators for
                                  Nonconforming Approximation of Some
                                  Quasi-Newtonian Flows  . . . . . . . . . 1600--1615
                P. Gervasio and   
            E. Ovtchinnikov and   
                  A. Quarteroni   The Spectral Projection Decomposition
                                  Method for Elliptic Equations in Two
                                  Dimensions . . . . . . . . . . . . . . . 1616--1639
               Bruno D. Welfert   Generation of Pseudospectral
                                  Differentiation Matrices I . . . . . . . 1640--1657
         Ronald H. W. Hoppe and   
               Barbara Wohlmuth   Adaptive Multilevel Techniques for Mixed
                                  Finite Element Discretizations of
                                  Elliptic Boundary Value Problems . . . . 1658--1681

SIAM Journal on Numerical Analysis
Volume 34, Number 5, October, 1997

                Brian R. Wetton   Error Analysis for Chorin's Original
                                  Fully Discrete Projection Method and
                                  Regularizations in Space and Time  . . . 1683--1697
                       Qi Ya Hu   Superconvergence of Numerical Solutions
                                  to Volterra Integral Equations with
                                  Singularities  . . . . . . . . . . . . . 1698--1707
        François Alouges   A New Algorithm for Computing Liquid
                                  Crystal Stable Configurations: The
                                  Harmonic Mapping Case  . . . . . . . . . 1708--1726
                     Z. Cai and   
           T. A. Manteuffel and   
                S. F. McCormick   First-Order System Least Squares for the
                                  Stokes Equations, with Application to
                                  Linear Elasticity  . . . . . . . . . . . 1727--1741
                   D. B. Duncan   Symplectic Finite Difference
                                  Approximations of the Nonlinear
                                  Klein--Gordon Equation . . . . . . . . . 1742--1760
                     Avram Sidi   A Complete Convergence and Stability
                                  Theory for a Generalized Richardson
                                  Extrapolation Process  . . . . . . . . . 1761--1778
            David C. Dobson and   
                Curtis R. Vogel   Convergence of an Iterative Method for
                                  Total Variation Denoising  . . . . . . . 1779--1791
            Todd R. Littell and   
            Robert D. Skeel and   
                  Meiqing Zhang   Error Analysis of Symplectic Multiple
                                  Time Stepping  . . . . . . . . . . . . . 1792--1807
           R. Bruce Kellogg and   
                  Martin Stynes   Optimal Approximability of Solutions of
                                  Singularly Perturbed Two-Point Boundary
                                  Value Problems . . . . . . . . . . . . . 1808--1816
                Pavel B. Bochev   Analysis of Least-Squares Finite Element
                                  Methods for the Navier--Stokes Equations 1817--1844
         Carsten Carstensen and   
                Joachim Gwinner   FEM and BEM Coupling for a Nonlinear
                                  Transmission Problem with Signorini
                                  Contact  . . . . . . . . . . . . . . . . 1845--1864
         Andrzej Palczewski and   
          Jacques Schneider and   
           Alexandre V. Bobylev   A Consistency Result for a
                                  Discrete-Velocity Model of the Boltzmann
                                  Equation . . . . . . . . . . . . . . . . 1865--1883
                    Art B. Owen   Monte Carlo variance of scrambled net
                                  quadrature . . . . . . . . . . . . . . . 1884--1910
           Marlis Hochbruck and   
               Christian Lubich   On Krylov Subspace Approximations to the
                                  Matrix Exponential Operator  . . . . . . 1911--1925
        A. L. Araújo and   
                   A. Murua and   
               J. M. Sanz-Serna   Symplectic Methods Based on
                                  Decompositions . . . . . . . . . . . . . 1926--1947
              Gilles Aubert and   
                  Luminita Vese   A Variational Method in Image Recovery   1948--1979
            J. M. Greenberg and   
               A. Y. LeRoux and   
                R. Baraille and   
                    A. Noussair   Analysis and Approximation of
                                  Conservation Laws with Source Terms  . . 1980--2007
              Bryan D. Davidson   Large-Scale Continuation and Numerical
                                  Bifurcation for Partial Differential
                                  Equations  . . . . . . . . . . . . . . . 2008--2027
               Peter Winker and   
                   Kai-Tai Fang   Application of Threshold-Accepting to
                                  the Evaluation of the Discrepancy of a
                                  Set of Points  . . . . . . . . . . . . . 2028--2042
                M. Vanmaele and   
               K. W. Morton and   
                    E. Suli and   
                       A. Borzi   Analysis of the Cell Vertex Finite
                                  Volume Method for the Cauchy--Riemann
                                  Equations  . . . . . . . . . . . . . . . 2043--2062
               M. Sofroniou and   
                       W. Oevel   Symplectic Runge--Kutta schemes. I.
                                  Order conditions . . . . . . . . . . . . 2063--2086

SIAM Journal on Numerical Analysis
Volume 34, Number 6, December, 1997

               Ernst Hairer and   
                 Gerhard Wanner   Order Conditions for General Two-Step
                                  Runge--Kutta Methods . . . . . . . . . . 2087--2089
                 J. T. Oden and   
                Abani Patra and   
                   Yusheng Feng   Parallel Domain Decomposition Solver for
                                  Adaptive $hp$ Finite Element Methods . . 2090--2118
              J. C. Butcher and   
                  Z. Jackiewicz   Implementation of Diagonally Implicit
                                  Multistage Integration Methods for
                                  Ordinary Differential Equations  . . . . 2119--2141
             G. N. Milstein and   
         M. V. Tret\cprimeyakov   Numerical Methods in the Weak Sense for
                                  Stochastic Differential Equations with
                                  Small Noise  . . . . . . . . . . . . . . 2142--2167
                 E. Gabetta and   
                L. Pareschi and   
                     G. Toscani   Relaxation Schemes for Nonlinear Kinetic
                                  Equations  . . . . . . . . . . . . . . . 2168--2194
          Roy A. Nicolaides and   
                     Xiaonan Wu   Covolume Solutions of Three-Dimensional
                                  Div-Curl Equations . . . . . . . . . . . 2195--2203
                    Ander Murua   On Order Conditions for Partitioned
                                  Symplectic Methods . . . . . . . . . . . 2204--2211
     Tobias von Petersdorff and   
           Christoph Schwab and   
             Reinhold Schneider   Multiwavelets for Second Kind Integral
                                  Equations  . . . . . . . . . . . . . . . 2212--2227
              Zhangxin Chen and   
               Richard E. Ewing   Fully-Discrete Finite Element Analysis
                                  of Multiphase Flow in Groundwater
                                  Hydrology  . . . . . . . . . . . . . . . 2228--2253
             Bjorn Engquist and   
                     Erding Luo   Convergence of a Multigrid Method for
                                  Elliptic Equations with Highly
                                  Oscillatory Coefficients . . . . . . . . 2254--2273
          Robert D. Russell and   
                     Weiwei Sun   Spline Collocation Differentiation
                                  Matrices . . . . . . . . . . . . . . . . 2274--2287
                G. Monegato and   
                    I. H. Sloan   Numerical Solution of the Generalized
                                  Airfoil Equation for an Airfoil with a
                                  Flap . . . . . . . . . . . . . . . . . . 2288--2305
                 Florin \cSabac   The Optimal Convergence Rate of Monotone
                                  Finite Difference Methods for Hyperbolic
                                  Conservation Laws  . . . . . . . . . . . 2306--2318
                   Eric Boillat   On the Locking of the Finite Element
                                  Method in Thermoelasticity . . . . . . . 2319--2334
          Gabriel N. Gatica and   
           Wolfgang L. Wendland   Coupling of Mixed Finite Elements and
                                  Boundary Elements for a Hyperelastic
                                  Interface Problem  . . . . . . . . . . . 2335--2356
 Sherman D. Riemenschneider and   
                    Zuowei Shen   Multidimensional Interpolatory
                                  Subdivision Schemes  . . . . . . . . . . 2357--2381
                     I. Perugia   A Field-Based Mixed Formulation for the
                                  Two-Dimensional Magnetostatic Problem    2382--2391
           Ivo M. Babu\vska and   
               Stefan A. Sauter   Is the Pollution Effect of the FEM
                                  Avoidable for the Helmholtz Equation
                                  Considering High Wave Numbers  . . . . . 2392--2423
                    Jianhua Pan   Global Superconvergence for the
                                  Bilinear-Constant Scheme for the Stokes
                                  Problem  . . . . . . . . . . . . . . . . 2424--2430
               Christoph Pflaum   Convergence of the Combination Technique
                                  for Second-Order Elliptic Differential
                                  Equations  . . . . . . . . . . . . . . . 2431--2455
                Jan Janssen and   
              Stefan Vandewalle   On SOR Waveform Relaxation Methods . . . 2456--2481
               Mario A. Casarin   Quasi-Optimal Schwarz Methods for the
                                  Conforming Spectral Element
                                  Discretization . . . . . . . . . . . . . 2482--2502


SIAM Journal on Numerical Analysis
Volume 35, Number 1, February, 1998

            Patrick Fischer and   
          Mireille Defranceschi   Numerical Solution of the Schrödinger
                                  Equation in a Wavelet Basis for
                                  Hydrogen-like Atoms  . . . . . . . . . . 1--12
                  C. Bourdarias   Approximation of the Solution to a
                                  System Modeling Heatless Adsorption of
                                  Gases  . . . . . . . . . . . . . . . . . 13--30
                  B. Leimkuhler   Timestep Acceleration of Waveform
                                  Relaxation . . . . . . . . . . . . . . . 31--50
     Christian Lécot and   
              Ibrahim Coulibaly   A Quasi-Monte Carlo Scheme Using Nets
                                  for a Linear Boltzmann Equation  . . . . 51--70
             Claus B. Schneider   Inversion Formulas for the Discretized
                                  Hilbert Transform on the Unit Circle . . 71--77
                    Sven Ehrich   On Product Integration with
                                  Gauss--Kronrod Nodes . . . . . . . . . . 78--92
     Ohannes A. Karakashian and   
              Wadi N. Jureidini   A Nonconforming Finite Element Method
                                  for the Stationary Navier--Stokes
                                  Equations  . . . . . . . . . . . . . . . 93--120
                  Chang-Ock Lee   Multigrid Methods for the Pure Traction
                                  Problem of Linear Elasticity: Mixed
                                  Formulation  . . . . . . . . . . . . . . 121--145
                 Guo Ben-Yu and   
                     He Li-Ping   The Fully Discrete Legendre Spectral
                                  Approximation of Two-Dimensional
                                  Unsteady Incompressible Fluid Flow in
                                  Stream Function Form . . . . . . . . . . 146--176
           Andreas Wiegmann and   
                Kenneth P. Bube   The Immersed Interface Method for
                                  Nonlinear Differential Equations with
                                  Discontinuous Coefficients and Singular
                                  Sources  . . . . . . . . . . . . . . . . 177--200
                   Thomas Petry   On the Stability of the Abramov Transfer
                                  for Differential-Algebraic Equations of
                                  Index $1$  . . . . . . . . . . . . . . . 201--216
              Serguei Maliassov   A Two-Level Preconditioner for
                                  Schrödinger-Type Singular Elliptic
                                  Operator . . . . . . . . . . . . . . . . 217--229
                      Zhilin Li   A Fast Iterative Algorithm for Elliptic
                                  Interface Problems . . . . . . . . . . . 230--254
           Olivier Cessenat and   
                  Bruno Despres   Application of an Ultra Weak Variational
                                  Formulation of Elliptic PDEs to the
                                  Two-Dimensional Helmholtz Problem  . . . 255--299
               Eldar Giladi and   
              Gene H. Golub and   
               Joseph B. Keller   Inner and Outer Iterations for the
                                  Chebyshev Algorithm  . . . . . . . . . . 300--319
               Zhiqiang Cai and   
       Thomas A. Manteuffel and   
       Stephen F. McCormick and   
              Seymour V. Parter   First-Order System Least Squares (FOSLS)
                                  for Planar Linear Elasticity: Pure
                                  Traction Problem . . . . . . . . . . . . 320--335
           Timothy A. Davis and   
        Eugene C. Gartland, Jr.   Finite Element Analysis of the Landau-de
                                  Gennes Minimization Problem for Liquid
                                  Crystals . . . . . . . . . . . . . . . . 336--362
               HongSung Jin and   
                  Steven Pruess   Uniformly Superconvergent Approximations
                                  for Linear Two-Point Boundary Value
                                  Problems . . . . . . . . . . . . . . . . 363--375
                      Bo Li and   
                Mitchell Luskin   Finite Element Analysis of
                                  Microstructure for the Cubic to
                                  Tetragonal Transformation  . . . . . . . 376--392
                Yanzhao Cao and   
              Max D. Gunzburger   Least-Squares Finite Element
                                  Approximations to Solutions of Interface
                                  Problems . . . . . . . . . . . . . . . . 393--405
             Zhongying Chen and   
                    Yuesheng Xu   The Petrov--Galerkin and Iterated
                                  Petrov--Galerkin Methods for Second-Kind
                                  Integral Equations . . . . . . . . . . . 406--434

SIAM Journal on Numerical Analysis
Volume 35, Number 2, April, 1998

            Clint N. Dawson and   
            Mary F. Wheeler and   
              Carol S. Woodward   A Two-Grid Finite Difference Scheme for
                                  Nonlinear Parabolic Equations  . . . . . 435--452
                 Bingkun Li and   
         Graeme Fairweather and   
               Bernard Bialecki   Discrete-time Orthogonal Spline
                                  Collocation Methods for Schrödinger
                                  Equations in Two Space Variables . . . . 453--477
                 Moshe Goldberg   Stable Difference Schemes for Parabolic
                                  Systems --- A Numerical Radius Approach  478--493
                 S. H. Chou and   
                     D. Y. Kwak   A Covolume Method Based on Rotated
                                  Bilinears for the Generalized Stokes
                                  Problem  . . . . . . . . . . . . . . . . 494--507
               C. T. Kelley and   
                 David E. Keyes   Convergence Analysis of Pseudo-Transient
                                  Continuation . . . . . . . . . . . . . . 508--523
                  Jiri Rohn and   
                      Georg Rex   Enclosing Solutions of Linear Equations  524--539
            Mihai Dorobantu and   
            Björn Engquist   Wavelet-Based Numerical Homogenization   540--559
                  Houde Han and   
                     Xiaonan Wu   A New Mixed Finite Element Formulation
                                  and the MAC Method for the Stokes
                                  Equations  . . . . . . . . . . . . . . . 560--571
              W. H. Enright and   
                     H. Hayashi   Convergence Analysis of the Solution of
                                  Retarded and Neutral Delay Differential
                                  Equations by Continuous Numerical
                                  Methods  . . . . . . . . . . . . . . . . 572--585
            R. I. McLachlan and   
           G. R. W. Quispel and   
                   G. S. Turner   Numerical Integrators that Preserve
                                  Symmetries and Reversing Symmetries  . . 586--599
               Jinping Zeng and   
                     Shuzi Zhou   On Monotone and Geometric Convergence of
                                  Schwarz Methods for Two-Sided Obstacle
                                  Problems . . . . . . . . . . . . . . . . 600--616
               Bernard Bialecki   Convergence Analysis of Orthogonal
                                  Spline Collocation for Elliptic Boundary
                                  Value Problems . . . . . . . . . . . . . 617--631
                  Benqi Guo and   
                    Weiming Cao   An Additive Schwarz Method for the
                                  $h$-$b$ Version of the Finite Element
                                  Method in Three Dimensions . . . . . . . 632--654
                J. S. Hesthaven   From Electrostatics to Almost Optimal
                                  Nodal Sets for Polynomial Interpolation
                                  in a Simplex . . . . . . . . . . . . . . 655--676
              Cesare Davini and   
                  Igino Pitacco   Relaxed Notions of Curvature and a
                                  Lumped Strain Method for Elastic Plates  677--691
                S. Chippada and   
               C. N. Dawson and   
             M. L. Martinez and   
                  M. F. Wheeler   Finite Element Approximations to the
                                  System of Shallow Water Equations I:
                                  Continuous-Time \em A Priori Error
                                  Estimates  . . . . . . . . . . . . . . . 692--711
                  Amiya K. Pani   An $H^1$-Galerkin Mixed Finite Element
                                  Method for Parabolic Partial
                                  Differential Equations . . . . . . . . . 712--727
           Jörg Peters and   
                    Ulrich Reif   Analysis of Algorithms Generalizing
                                  B-Spline Subdivision . . . . . . . . . . 728--748
           Guang-Shan Jiang and   
                  Shih-Hsien Yu   Discrete Shocks for Finite Difference
                                  Approximations to Scalar Conservation
                                  Laws . . . . . . . . . . . . . . . . . . 749--772
        Pablo Martín and   
           José M. Farto   Increasing the Order of the SMF Method
                                  for a Special Type of Problem  . . . . . 773--777
                  M. Ganesh and   
               I. G. Graham and   
              J. Sivaloganathan   A New Spectral Boundary Integral
                                  Collocation Method for Three-Dimensional
                                  Potential Problems . . . . . . . . . . . 778--805
       Thomas A. Manteuffel and   
                Klaus J. Ressel   Least-Squares Finite-Element Solution of
                                  the Neutron Transport Equation in
                                  Diffusive Regimes  . . . . . . . . . . . 806--835
          Patrick Le Tallec and   
                 Jan Mandel and   
                Marina Vidrascu   A Neumann--Neumann Domain Decomposition
                                  Algorithm for Solving Plate and Shell
                                  Problems . . . . . . . . . . . . . . . . 836--867

SIAM Journal on Numerical Analysis
Volume 35, Number 3, June, 1998

                      Heping Ma   Chebyshev--Legendre Spectral Viscosity
                                  Method for Nonlinear Conservation Laws   869--892
                      Heping Ma   Chebyshev--Legendre Super Spectral
                                  Viscosity Method for Nonlinear
                                  Conservation Laws  . . . . . . . . . . . 893--908
           Maurizio Falcone and   
               Roberto Ferretti   Convergence Analysis for a Class of
                                  High-Order Semi-Lagrangian Advection
                                  Schemes  . . . . . . . . . . . . . . . . 909--940
Bosco García-Archilla and   
                 Julia Novo and   
                 Edriss S. Titi   Postprocessing the Galerkin Method: a
                                  Novel Approach to Approximate Inertial
                                  Manifolds  . . . . . . . . . . . . . . . 941--972
         C. González and   
                    C. Palencia   Stability of Time-Stepping Methods for
                                  Abstract Time-Dependent Parabolic
                                  Problems . . . . . . . . . . . . . . . . 973--989
                  P. Bochev and   
                     Z. Cai and   
           T. A. Manteuffel and   
                S. F. McCormick   Analysis of Velocity-Flux First-Order
                                  System Least-Squares Principles for the
                                  Navier--Stokes Equations: Part I . . . . 990--1009
             G. N. Milstein and   
                  E. Platen and   
                      H. Schurz   Balanced Implicit Methods for Stiff
                                  Stochastic Systems . . . . . . . . . . . 1010--1019
               Carlos Conca and   
                 Axel Osses and   
              Jacques Planchard   Asymptotic Analysis Relating Spectral
                                  Models in Fluid-Solid Vibrations . . . . 1020--1048
                   Qiang Du and   
           R. A. Nicolaides and   
                     Xiaonan Wu   Analysis and Convergence of a Covolume
                                  Approximation of the Ginzburg--Landau
                                  Model of Superconductivity . . . . . . . 1049--1072
                      Axel Klar   An Asymptotic-Induced Scheme for
                                  Nonstationary Transport Equations in the
                                  Diffusive Limit  . . . . . . . . . . . . 1073--1094
                Carsten Ebmeyer   Error Estimates for a Class of
                                  Degenerate Parabolic Equations . . . . . 1095--1112
                  H. Barucq and   
               F. Delaurens and   
                    B. Hanouzet   Method of Absorbing Boundary Conditions:
                                  Phenomena of Error Stabilization . . . . 1113--1129
                   Xiaojun Chen   Global and Superlinear Convergence of
                                  Inexact Uzawa Methods for Saddle Point
                                  Problems with Nondifferentiable Mappings 1130--1148
                 Jack Schaeffer   Convergence of a Difference Scheme for
                                  the Vlasov--Poisson--Fokker--Planck
                                  System in One Dimension  . . . . . . . . 1149--1175
                  Xun Jiang and   
            Ricardo H. Nochetto   A ${P}^1$-${P}^1$ Finite Element Method
                                  for a Phase Relaxation Model I:
                                  Quasi-Uniform Mesh . . . . . . . . . . . 1176--1190
                 Shayne Waldron   The Error in Linear Interpolation at the
                                  Vertices of a Simplex  . . . . . . . . . 1191--1200
                  Nicolas Neuss   $V$-cycle Convergence with Unsymmetric
                                  Smoothers and Application to an
                                  Anisotropic Model Problem  . . . . . . . 1201--1212
                O. Axelsson and   
                  I. E. Kaporin   Minimum Residual Adaptive Multilevel
                                  Finite Element Procedure for the
                                  Solution of Nonlinear Stationary
                                  Problems . . . . . . . . . . . . . . . . 1213--1229
                    Jouko Tervo   An FEM Scheme of a PDE System from
                                  Bioreactor Theory with Stability Results 1230--1248
              Suzanne L. Weekes   The Travelling Wave Scheme for the
                                  Navier--Stokes Equations . . . . . . . . 1249--1270
             Charles R. Collins   Convergence of a Reduced Integration
                                  Method for Computing Microstructures . . 1271--1298

SIAM Journal on Numerical Analysis
Volume 35, Number 4, August, 1998

             Mohammad Asadzadeh   A Finite Element Method for the Neutron
                                  Transport Equation in an Infinite
                                  Cylindrical Domain . . . . . . . . . . . 1299--1314
           Kenneth Eriksson and   
              Claes Johnson and   
                   Stig Larsson   Adaptive Finite Element Methods for
                                  Parabolic Problems VI: Analytic
                                  Semigroups . . . . . . . . . . . . . . . 1315--1325
              Michael Hanke and   
    Ebroul Izquierdo Macana and   
             Roswitha März   On Asymptotics in Case of Linear
                                  Index-$2$ Differential-Algebraic
                                  Equations  . . . . . . . . . . . . . . . 1326--1346
                   A. Aubry and   
                    P. Chartier   On Improving the Convergence of Radau
                                  IIA Methods Applied to Index $2$ DAEs    1347--1367
                   Paul Hughett   Error Bounds for Numerical Inversion of
                                  a Probability Characteristic Function    1368--1392
                  Salim Meddahi   An Optimal Iterative Process for the
                                  Johnson--Nedelec Method of Coupling
                                  Boundary and Finite Elements . . . . . . 1393--1415
              Yves Tourigny and   
           Frank Hülsemann   A New Moving Mesh Algorithm for the
                                  Finite Element Solution of Variational
                                  Problems . . . . . . . . . . . . . . . . 1416--1438
                 W. P. Petersen   A General Implicit Splitting for
                                  Stabilizing Numerical Simulations of Itô
                                  Stochastic Differential Equations  . . . 1439--1451
              Pascal Laubin and   
                    Marc Baiwir   Spline Collocation for a Boundary
                                  Integral Equation on Polygons with Cuts  1452--1472
             Karl J. Havlak and   
       Harold Dean Victory, Jr.   On Deterministic Particle Methods for
                                  Solving Vlasov--Poisson--Fokker--Planck
                                  Systems  . . . . . . . . . . . . . . . . 1473--1519
               J. M. Melenk and   
                      C. Schwab   $hp$ FEM for Reaction-Diffusion
                                  Equations I: Robust Exponential
                                  Convergence  . . . . . . . . . . . . . . 1520--1557
              Xue-Cheng Tai and   
                  Magne Espedal   Rate of Convergence of Some Space
                                  Decomposition Methods for Linear and
                                  Nonlinear Problems . . . . . . . . . . . 1558--1570
                J. S. Hesthaven   Integration Preconditioning of
                                  Pseudospectral Operators. I. Basic
                                  Linear Operators . . . . . . . . . . . . 1571--1593
        Matthias Heinkenschloss   A Trust Region Method for Norm
                                  Constrained Problems . . . . . . . . . . 1594--1620
                       R. Plato   The Method of Conjugate Residuals for
                                  Solving the Galerkin Equations
                                  Associated with Symmetric Positive
                                  Semidefinite Ill-Posed Problems  . . . . 1621--1645
              Wilhelm Heinrichs   Splitting Techniques for the Unsteady
                                  Stokes Equations . . . . . . . . . . . . 1646--1662
                   T. P. Mathew   Uniform Convergence of the Schwarz
                                  Alternating Method for Solving
                                  Singularly Perturbed Advection-Diffusion
                                  Equations  . . . . . . . . . . . . . . . 1663--1683
          Jesus Vigo-Aguiar and   
José M. Ferrándiz   A General Procedure For the Adaptation
                                  of Multistep Algorithms to the
                                  Integration of Oscillatory Problems  . . 1684--1708

SIAM Journal on Numerical Analysis
Volume 35, Number 5, October, 1998

                   Clint Dawson   Analysis of an Upwind-Mixed Finite
                                  Element Method for Nonlinear contaminant
                                  Transport Equations  . . . . . . . . . . 1709--1724
                     L. Scuderi   A Collocation Method for the Generalized
                                  Airfoil Equation for an Airfoil with a
                                  Flap . . . . . . . . . . . . . . . . . . 1725--1739
                      Mo Mu and   
                  Yunqing Huang   An Alternating Crank--Nicolson Method
                                  for Decoupling the Ginzburg--Landau
                                  Equations  . . . . . . . . . . . . . . . 1740--1761
              Huang Jianguo and   
                     Xi Shitong   On the Finite Volume Element Method for
                                  General Self-Adjoint Elliptic Problems   1762--1774
          Bernardo Cockburn and   
       Pierre-Alain Gremaud and   
           Jimmy Xiangrong Yang   \em A Priori Error Estimates for
                                  Numerical Methods for Scalar
                                  Conservation Laws Part III:
                                  Multidimensional Flux-Splitting Monotone
                                  Schemes on Non-Cartesian Grids . . . . . 1775--1803
                   Zlatko Drmac   A Tangent Algorithm for Computing the
                                  Generalized Singular Value Decomposition 1804--1832
           Martin Kruzík   Numerical Approach to Double Well
                                  Problems . . . . . . . . . . . . . . . . 1833--1849
             So-Hsiang Chou and   
                 Do Y. Kwak and   
         Panayot S. Vassilevski   Mixed Covolume Methods for Elliptic
                                  Problems on Triangular Grids . . . . . . 1850--1861
            John W. Barrett and   
                  Peter Knabner   An Improved Error Bound for a
                                  Lagrange--Galerkin Method for
                                  Contaminant Transport with
                                  Non-Lipschitzian Adsorption Kinetics . . 1862--1882
             Susanne C. Brenner   Overcoming Corner Singularities Using
                                  Multigrid Methods  . . . . . . . . . . . 1883--1892
                C. Bernardi and   
                     V. Girault   A Local Regularization Operator for
                                  Triangular and Quadrilateral Finite
                                  Elements . . . . . . . . . . . . . . . . 1893--1916
            Christoph Fredebeul   A-BDF: A Generalization of the Backward
                                  Differentiation Formulae . . . . . . . . 1917--1938
                       Tao Tang   Convergence Analysis for
                                  Operator-Splitting Methods Applied to
                                  Conservation Laws with Stiff Source
                                  Terms  . . . . . . . . . . . . . . . . . 1939--1968
                   Zlatko Drmac   Accurate Computation of the
                                  Product-Induced Singular Value
                                  Decomposition with Applications  . . . . 1969--1994
                 Moshe Goldberg   Stable Difference Schemes for Parabolic
                                  Systems --- A Numerical Radius Approach
                                  II . . . . . . . . . . . . . . . . . . . 1995--2003
                Nobito Yamamoto   A Numerical Verification Method for
                                  Solutions of Boundary Value Problems
                                  with Local Uniqueness by Banach's
                                  Fixed-Point Theorem  . . . . . . . . . . 2004--2013
                Robert Sandboge   Quantitative Error Control for Finite
                                  Element Methods for One-Dimensional
                                  Compressible Flow  . . . . . . . . . . . 2014--2034
                  W. Layton and   
                     L. Tobiska   A Two-Level Method with Backtracking for
                                  the Navier--Stokes Equations . . . . . . 2035--2054
               Peter Ashwin and   
                       Zhen Mei   A Numerical Bifurcation Function for
                                  Homoclinic Orbits  . . . . . . . . . . . 2055--2069
             Leon Greenberg and   
                 Marco Marletta   Oscillation Theory and Numerical
                                  Solution of Sixth Order Sturm--Liouville
                                  Problems . . . . . . . . . . . . . . . . 2070--2098
        Philippe Destuynder and   
        Brigitte Métivet   Explicit Error Bounds for a
                                  Nonconforming Finite Element Method  . . 2099--2115

SIAM Journal on Numerical Analysis
Volume 35, Number 6, December, 1998

                 Ami Harten and   
               Peter D. Lax and   
         C. David Levermore and   
    newline William J. Morokoff   Convex Entropies and Hyperbolicity for
                                  General Euler Equations  . . . . . . . . 2117--2127
            Rémi Abgrall   Multiresolution Representation in
                                  Unstructured Meshes  . . . . . . . . . . 2128--2146
                G.-S. Jiang and   
                    D. Levy and   
                  C.-T. Lin and   
                   S. Osher and   
                      E. Tadmor   High-Resolution Nonoscillatory Central
                                  Schemes with Nonstaggered Grids for
                                  Hyperbolic Conservation Laws . . . . . . 2147--2168
             Brian T. Hayes and   
            Philippe G. LeFloch   Nonclassical Shocks and Kinetic
                                  Relations: Finite Difference Schemes . . 2169--2194
                   K. W. Morton   On the Analysis of Finite Volume Methods
                                  for Evolutionary Problems  . . . . . . . 2195--2222
Frédéric Coquel and   
             Beno\^\it Perthame   Relaxation of Energy and Approximate
                                  Riemann Solvers for General Pressure
                                  Laws in Fluid Dynamics . . . . . . . . . 2223--2249
              Richard Liska and   
                Burton Wendroff   Composite Schemes for Conservation Laws  2250--2271
          Matthieu Bultelle and   
             Magali Grassin and   
                    Denis Serre   Unstable Godunov Discrete Profiles for
                                  Steady Shock Waves . . . . . . . . . . . 2272--2297
           Marsha J. Berger and   
             Randall J. LeVeque   Adaptive Mesh Refinement Using
                                  Wave-Propagation Algorithms for
                                  Hyperbolic Systems . . . . . . . . . . . 2298--2316
               Yann Brenier and   
               Emmanuel Grenier   Sticky Particles and Scalar Conservation
                                  Laws . . . . . . . . . . . . . . . . . . 2317--2328
             Gunilla Kreiss and   
              Heinz-Otto Kreiss   Stability of Steady Solutions of
                                  Burgers's Equation . . . . . . . . . . . 2329--2349
                   Thomas Sonar   On Families of Pointwise Optimal Finite
                                  Volume ENO Approximations  . . . . . . . 2350--2369
                Wai Sun Don and   
                 David Gottlieb   Spectral Simulation of Supersonic
                                  Reactive Flows . . . . . . . . . . . . . 2370--2384
                    Shi Jin and   
                   Zhouping Xin   Numerical Passage from Systems of
                                  Conservation Laws to Hamilton--Jacobi
                                  Equations, and Relaxation Schemes  . . . 2385--2404
                    Shi Jin and   
           Lorenzo Pareschi and   
               Giuseppe Toscani   Diffusive Relaxation Schemes for
                                  Multiscale Discrete-Velocity Kinetic
                                  Equations  . . . . . . . . . . . . . . . 2405--2439
          Bernardo Cockburn and   
                   Chi-Wang Shu   The Local Discontinuous Galerkin Method
                                  for Time-Dependent Convection-Diffusion
                                  Systems  . . . . . . . . . . . . . . . . 2440--2463
             Bjorn Engquist and   
       Björn Sjögreen   The Convergence Rate of Finite
                                  Difference Schemes in the Presence of
                                  Shocks . . . . . . . . . . . . . . . . . 2464--2485


SIAM Journal on Numerical Analysis
Volume 36, Number 1, February, 1999

                    Huanan Yang   On Wavewise Entropy Inequality for High
                                  Resolution Schemes II: Fully Discrete
                                  MUSCL Schemes with Exact Evolution in
                                  Small Time . . . . . . . . . . . . . . . 1--31
         Dominique Chapelle and   
                  Rolf Stenberg   Stabilized Finite Element Formulations
                                  for Shells in a Bending Dominated State  32--73
        Christian Schmeiser and   
           Alexander Zwirchmayr   Convergence of Moment Methods for Linear
                                  Kinetic Equations  . . . . . . . . . . . 74--88
               Zhendong Luo and   
                      Ruxun Liu   Mixed Finite Element Analysis and
                                  Numerical Solitary Solution for the RLW
                                  Equation . . . . . . . . . . . . . . . . 89--104
                    Bin Han and   
                  Rong-Qing Jia   Optimal Interpolatory Subdivision
                                  Schemes in Multidimensional Spaces . . . 105--124
                Thorsten Hohage   Convergence Rates of a Regularized
                                  Newton Method in Sound-Hard Inverse
                                  Scattering . . . . . . . . . . . . . . . 125--142
               Ming-Jun Lai and   
             Larry L. Schumaker   On the Approximation Power of Splines on
                                  Triangulated Quadrangulations  . . . . . 143--159
        Francesc Ar\`andiga and   
                 Rosa Donat and   
                     Ami Harten   Multiresolution Based on Weighted
                                  Averages of the Hat Function I: Linear
                                  Reconstruction Techniques  . . . . . . . 160--203
                    R. Hiptmair   Multigrid Method for Maxwell's Equations 204--225
                S. Chippada and   
               C. N. Dawson and   
M. L. Martínez-Canales and   
                  M. F. Wheeler   Finite Element Approximations to the
                                  System of Shallow Water Equations, Part
                                  II: Discrete-Time \em A Priori Error
                                  Estimates  . . . . . . . . . . . . . . . 226--250
                 Peter Monk and   
                Endre Süli   The Adaptive Computation of Far-Field
                                  Patterns by \em A Posteriori Error
                                  Estimation of Linear Functionals . . . . 251--274
             A. Friedlander and   
      J. M. Martínez and   
                  B. Molina and   
                      M. Raydan   Gradient Method with Retards and
                                  Generalizations  . . . . . . . . . . . . 275--289
                       J. Kacur   Solution of Some Free Boundary Problems
                                  by Relaxation Schemes  . . . . . . . . . 290--316
               Georgios Akrivis   Finite Difference Methods for the
                                  Wide-Angle ``Parabolic'' Equation  . . . 317--329

SIAM Journal on Numerical Analysis
Volume 36, Number 2, April, 1999

             Mark Ainsworth and   
                  Ivo Babu\vska   Reliable and Robust A Posteriori Error
                                  Estimation for Singularly Perturbed
                                  Reaction-Diffusion Problems  . . . . . . 331--353
               Tony F. Chan and   
                      Pep Mulet   On the Convergence of the Lagged
                                  Diffusivity Fixed Point Method in Total
                                  Variation Image Restoration  . . . . . . 354--367
   Bjòrn Fredrik Nielsen   Finite Element Discretizations of
                                  Elliptic Problems in the Presence of
                                  Arbitrarily Small Ellipticity: An Error
                                  Analysis . . . . . . . . . . . . . . . . 368--392
                      C. V. Pao   Numerical Analysis of Coupled Systems of
                                  Nonlinear Parabolic Equations  . . . . . 393--416
             V. Drakopoulos and   
            N. Argyropoulos and   
                   A. Böhm   Generalized Computation of Schröder
                                  Iteration Functions To Motivate Families
                                  of Julia and Mandelbrot-Like Sets  . . . 417--435
            Raymond H. Chan and   
                Shu-fang Xu and   
                   Hao-min Zhou   On the Convergence Rate of a
                                  Quasi-Newton Method for Inverse
                                  Eigenvalue Problems  . . . . . . . . . . 436--441
               Shari Moskow and   
           Vladimir Druskin and   
              Tarek Habashy and   
                   Ping Lee and   
              Sofia Davydycheva   A Finite Difference Scheme for Elliptic
                                  Equations with Rough Coefficients Using
                                  a Cartesian Grid Nonconforming to
                                  Interfaces . . . . . . . . . . . . . . . 442--464
                 Alexis Vasseur   Kinetic Semidiscretization of Scalar
                                  Conservation Laws and Convergence by
                                  Using Averaging Lemmas . . . . . . . . . 465--474
                    Jin Qi-nian   Applications of the Modified Discrepancy
                                  Principle to Tikhonov Regularization of
                                  Nonlinear Ill-Posed Problems . . . . . . 475--490
           Michael Dellnitz and   
                   Oliver Junge   On the Approximation of Complicated
                                  Dynamical Behavior . . . . . . . . . . . 491--515
                    Yunkang Liu   Numerical Solution of Implicit Neutral
                                  Functional Differential Equations  . . . 516--528
                    Mao De-kang   Entropy Satisfaction of a Conservative
                                  Shock-Tracking Method  . . . . . . . . . 529--550
                Yves Achdou and   
                 Yvon Maday and   
                   Olof Widlund   Iterative Substructuring Preconditioners
                                  for Mortar Element Methods in Two
                                  Dimensions . . . . . . . . . . . . . . . 551--580
             Xiao-Chuan Cai and   
          Maksymilian Dryja and   
                  Marcus Sarkis   Overlapping Nonmatching Grid Mortar
                                  Element Methods for Elliptic Problems    581--606
           Paolo Costantini and   
                    Carla Manni   A Parametric Cubic Element with Tension
                                  Properties . . . . . . . . . . . . . . . 607--628
              Norman Yarvin and   
               Vladimir Rokhlin   An Improved Fast Multipole Algorithm for
                                  Potential Fields on the Line . . . . . . 629--666

SIAM Journal on Numerical Analysis
Volume 36, Number 3, June, 1999

       Michelle Boué and   
                    Paul Dupuis   Markov Chain Approximations for
                                  Deterministic Control Problems with
                                  Affine Dynamics and Quadratic Cost in
                                  the Control  . . . . . . . . . . . . . . 667--695
                 P. B. Monk and   
                       O. Vacus   Error Estimates for a Numerical Scheme
                                  for Ferromagnetic Problems . . . . . . . 696--718
                   Jie Shen and   
                  Shouhong Wang   A Fast and Accurate Numerical Scheme for
                                  the Primitive Equations of the
                                  Atmosphere . . . . . . . . . . . . . . . 719--737
              Paul Arminjon and   
           Marie-Claude Viallon   Convergence of a Finite Volume Extension
                                  of the Nessyahu--Tadmor Scheme on
                                  Unstructured Grids for a Two-Dimensional
                                  Linear Hyperbolic Equation . . . . . . . 738--771
           Richard E. Ewing and   
             Michael M. Liu and   
                   Junping Wang   Superconvergence of Mixed Finite Element
                                  Approximations over Quadrilaterals . . . 772--787
             James M. Hyman and   
               Mikhail Shashkov   The Orthogonal Decomposition Theorems
                                  for Mimetic Finite Difference Methods    788--818
              Seymour V. Parter   On the Overlapping Grid Method for
                                  Elliptic Boundary Value Problems . . . . 819--852
         Gunilla Efraimsson and   
                 Gunilla Kreiss   A Remark on Numerical Errors Downstream
                                  of Slightly Viscous Shocks . . . . . . . 853--863
                Eric de Sturler   Truncation Strategies for Optimal Krylov
                                  Subspace Methods . . . . . . . . . . . . 864--889
 Hans-Jürgen Reinhardt and   
                  Houde Han and   
                 Dinh Nho H\`ao   Stability and Regularization of a
                                  Discrete Approximation to the Cauchy
                                  Problem for Laplace's Equation . . . . . 890--905
                     S. Koc and   
                Jiming Song and   
                     W. C. Chew   Error Analysis for the Numerical
                                  Evaluation of the Diagonal Forms of the
                                  Scalar Spherical Addition Theorem  . . . 906--921
              Tobin A. Driscoll   A Nonoverlapping Domain Decomposition
                                  Method for Symm's Equation for Conformal
                                  Mapping  . . . . . . . . . . . . . . . . 922--934
            Richard S. Falk and   
              Gerard R. Richter   Explicit Finite Element Methods for
                                  Symmetric Hyperbolic Equations . . . . . 935--952
                    C. Buet and   
                     S. Cordier   Numerical Analysis of Conservative and
                                  Entropy Schemes for the
                                  Fokker--Planck--Landau Equation  . . . . 953--973
                  Xun Jiang and   
        Ricardo H. Nochetto and   
                  Claudio Verdi   A $P^1$--$P^1$ Finite Element Method for
                                  a Phase Relaxation Model II: Adaptively
                                  Refined Meshes . . . . . . . . . . . . . 974--999

SIAM Journal on Numerical Analysis
Volume 36, Number 4, August, 1999

               Patrick Mund and   
               Ernst P. Stephan   An Adaptive Two-Level Method for the
                                  Coupling of Nonlinear FEM-BEM Equations  1001--1021
                    J. J. Green   Calculating the Maximum Modulus of a
                                  Polynomial Using Steckin's Lemma . . . . 1022--1029
            Armengol Gasull and   
           Antoni Guillamon and   
    Víctor Mañosa   An Analytic-Numerical Method for
                                  Computation of the Liapunov and Period
                                  Constants Derived from Their Algebraic
                                  Structure  . . . . . . . . . . . . . . . 1030--1043
                 Peter K. Moore   Finite Difference Methods and Spatial A
                                  Posteriori Error Estimates for Solving
                                  Parabolic Equations in Three Space
                                  Dimensions on Grids with Irregular Nodes 1044--1064
                 Gerhard Starke   Multilevel Boundary Functionals for
                                  Least-Squares Mixed Finite Element
                                  Methods  . . . . . . . . . . . . . . . . 1065--1077
                  Stefano Serra   How to Choose the Best Iterative
                                  Strategy for Symmetric Toeplitz Systems  1078--1103
               Yu. A. Kuznetsov   Numerical Normalization Techniques for
                                  All Codim $2$ Bifurcations of Equilibria
                                  in ODE's . . . . . . . . . . . . . . . . 1104--1124
               Pavel Bochev and   
       Thomas A. Manteuffel and   
           Stephen F. McCormick   Analysis of Velocity-Flux Least-Squares
                                  Principles for the Navier--Stokes
                                  Equations: Part II . . . . . . . . . . . 1125--1144
                       A. Zanna   Collocation and Relaxed Collocation for
                                  the Fer and the Magnus Expansions  . . . 1145--1182
            Johan Waldén   Filter Bank Methods for Hyperbolic PDEs  1183--1233
         Faker Ben Belgacem and   
                     Yvon Maday   Coupling Spectral and Finite Elements
                                  for Second Order Elliptic
                                  Three-Dimensional Equations  . . . . . . 1234--1263
                   D. Boffi and   
               P. Fernandes and   
                L. Gastaldi and   
                     I. Perugia   Computational Models of Electromagnetic
                                  Resonators: Analysis of Edge Element
                                  Approximation  . . . . . . . . . . . . . 1264--1290
                 Roberto Barrio   On the $A$-Stability of Runge--Kutta
                                  Collocation Methods Based on Orthogonal
                                  Polynomials  . . . . . . . . . . . . . . 1291--1303
                 A. J. Meir and   
                Paul G. Schmidt   Analysis and Numerical Approximation of
                                  a Stationary MHD Flow Problem with
                                  Nonideal Boundary  . . . . . . . . . . . 1304--1332

SIAM Journal on Numerical Analysis
Volume 36, Number 5, October, 1999

      François Golse and   
                    Shi Jin and   
             C. David Levermore   The Convergence of Numerical Transfer
                                  Schemes in Diffusive Regimes I:
                                  Discrete-Ordinate Method . . . . . . . . 1333--1369
                 Jan Mandel and   
               Radek Tezaur and   
                 Charbel Farhat   A Scalable Substructuring Method by
                                  Lagrange Multipliers for Plate Bending
                                  Problems . . . . . . . . . . . . . . . . 1370--1391
              Jeremy Schiff and   
                     S. Shnider   A Natural Approach to the Numerical
                                  Integration of Riccati Differential
                                  Equations  . . . . . . . . . . . . . . . 1392--1413
           Bernard Bialecki and   
              Ryan I. Fernandes   An Orthogonal Spline Collocation
                                  Alternating Direction Implicit
                                  Crank--Nicolson Method for Linear
                                  Parabolic Problems on Rectangles . . . . 1414--1434
                C. Bernardi and   
                A. Karageorghis   Spectral Element Discretization of the
                                  Circular Driven Cavity, Part I: The
                                  Laplace Equation . . . . . . . . . . . . 1435--1465
              F. Ivanauskas and   
                   M. Radziunas   On Convergence and Stability of the
                                  Explicit Difference Method for Solution
                                  of Nonlinear Schrödinger Equations  . . . 1466--1481
                   Qiang Du and   
                     Xiaonan Wu   Numerical Solution of the
                                  Three-Dimensional Ginzburg--Landau
                                  Models Using Artificial Boundary . . . . 1482--1506
                      Axel Klar   An Asymptotic Preserving Numerical
                                  Scheme for Kinetic Equations in the Low
                                  Mach Number Limit  . . . . . . . . . . . 1507--1527
         Miloslav Feistauer and   
        Jirí Felcman and   
Mária Lukácová-Medvid'ová and   
                Gerald Warnecke   Error Estimates for a Combined Finite
                                  Volume--Finite Element Method for
                                  Nonlinear Convection--Diffusion Problems 1528--1548
                Sebastian Reich   Backward Error Analysis for Numerical
                                  Integrators  . . . . . . . . . . . . . . 1549--1570
         Carsten Carstensen and   
     Rüdiger Verfürth   Edge Residuals Dominate A Posteriori
                                  Error Estimates for Low Order Finite
                                  Element Methods  . . . . . . . . . . . . 1571--1587
              Philippe Hoch and   
                  Michel Rascle   A Numerical Study of a Pathological
                                  Example of $p$-System  . . . . . . . . . 1588--1603
           R. Bruce Kellogg and   
                  Martin Stynes   $n$-Widths and Singularly Perturbed
                                  Boundary Value Problems  . . . . . . . . 1604--1620
                 Georg Dolzmann   Numerical Computation of Rank-One Convex
                                  Envelopes  . . . . . . . . . . . . . . . 1621--1635
            Barbara I. Wohlmuth   Hierarchical A Posteriori Error
                                  Estimators for Mortar Finite Element
                                  Methods with Lagrange Multipliers  . . . 1636--1658

SIAM Journal on Numerical Analysis
Volume 36, Number 6, December, 1999

              Alfred S. Carasso   Linear and Nonlinear Image Deblurring: A
                                  Documented Study . . . . . . . . . . . . 1659--1689
             Gary L. Miller and   
               Dafna Talmor and   
             Shang-Hua Teng and   
                Noel Walkington   On the Radius-Edge Condition in the
                                  Control Volume Method  . . . . . . . . . 1690--1708
                W. Dörfler   Uniform Error Estimates for an
                                  Exponentially Fitted Finite Element
                                  Method for Singularly Perturbed Elliptic
                                  Equations  . . . . . . . . . . . . . . . 1709--1738
               Eitan Tadmor and   
                       Tao Tang   Pointwise Error Estimates for Scalar
                                  Conservation Laws with Piecewise Smooth
                                  Solutions  . . . . . . . . . . . . . . . 1739--1758
               Joakim Petersson   A Finite Element Analysis of Optimal
                                  Variable Thickness Sheets  . . . . . . . 1759--1778
        Ohannes Karakashian and   
         Charalambos Makridakis   A Space-Time Finite Element Method for
                                  the Nonlinear Schrödinger Equation: The
                                  Continuous Galerkin Method . . . . . . . 1779--1807
                  Gerhard Dziuk   Discrete Anisotropic Curve Shortening
                                  Flow . . . . . . . . . . . . . . . . . . 1808--1830
        Stefano Serra Capizzano   A Korovkin-Based Approximation of
                                  Multilevel Toeplitz Matrices (With
                                  Rectangular Unstructured Blocks) via
                                  Multilevel Trigonometric Matrix Spaces   1831--1857
               B. Le Bailly and   
                   J. P. Thiran   Computing Complex Polynomial Chebyshev
                                  Approximants on the Unit Circle by the
                                  Real Remez Algorithm . . . . . . . . . . 1858--1877
                W. Dörfler   Uniform A Priori Estimates for
                                  Singularly Perturbed Elliptic Equations
                                  in Multidimensions . . . . . . . . . . . 1878--1900
             Mark Ainsworth and   
             William McLean and   
                     Thanh Tran   The Conditioning of Boundary Element
                                  Equations on Locally Refined Meshes and
                                  Preconditioning by Diagonal Scaling  . . 1901--1932
                  F. Brezzi and   
            T. J. R. Hughes and   
               L. D. Marini and   
                   A. Russo and   
                   E. Süli   A Priori Error Analysis of Residual-Free
                                  Bubbles for Advection-Diffusion Problems 1933--1948
                    Stephen Joe   An Average $L_2$ Discrepancy for
                                  Number-Theoretic Rules . . . . . . . . . 1949--1961
                     Weiwei Sun   Spectral Analysis of Hermite Cubic
                                  Spline Collocation Systems . . . . . . . 1962--1975