Table of contents for issues of Mathematics of Computation

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Volume 16, Number 80, October, 1962
Volume 23, Number 108, October, 1969
Volume 24, Number 109, January, 1970
Volume 24, Number 110, April, 1970
Volume 24, Number 111, July, 1970
Volume 24, Number 112, October, 1970
Volume 25, Number 113, January, 1971
Volume 25, Number 114, April, 1971
Volume 25, Number 115, July, 1971
Volume 25, Number 116, October, 1971
Volume 26, Number 117, January, 1972
Volume 26, Number 118, April, 1972
Volume 26, Number 119, July, 1972
Volume 26, Number 120, October, 1972
Volume 27, Number 121, January, 1973
Volume 27, Number 122, April, 1973
Volume 27, Number 123, July, 1973
Volume 27, Number 124, October, 1973
Volume 28, Number 125, January, 1974
Volume 28, Number 126, April, 1974
Volume 28, Number 127, July, 1974
Volume 28, Number 128, October, 1974
Volume 29, Number 129, January, 1975
Volume 29, Number 130, April, 1975
Volume 29, Number 131, July, 1975
Volume 29, Number 132, October, 1975
Volume 30, Number 133, January, 1976
Volume 30, Number 134, April, 1976
Volume 30, Number 135, July, 1976
Volume 30, Number 136, October, 1976
Volume 31, Number 137, January, 1977
Volume 31, Number 138, April, 1977
Volume 31, Number 139, July, 1977
Volume 31, Number 140, October, 1977
Volume 32, Number 141, January, 1978
Volume 32, Number 142, April, 1978
Volume 32, Number 143, July, 1978
Volume 32, Number 144, October, 1978
Volume 33, Number 145, January, 1979
Volume 33, Number 146, April, 1979
Volume 33, Number 147, July, 1979
Volume 33, Number 148, October, 1979
Volume 65, Number 213, January, 1996


Mathematics of Computation
Volume 16, Number 80, October, 1962

                       Jet Wimp   Polynomial Expansions of Bessel
                                  Functions and Some Associated Functions  446--458


Mathematics of Computation
Volume 23, Number 108, October, 1969

             G. W. Stewart, III   On Lehmer's Method for Finding the Zeros
                                  of a Polynomial  . . . . . . . . . . . . 829--835, s24--s30


Mathematics of Computation
Volume 24, Number 109, January, 1970

                  J. Greenstadt   Variations on Variable-Metric Methods    1--22
                Donald Goldfarb   A Family of Variable-Metric Methods
                                  Derived by Variational Means . . . . . . 23--26
                 L. K. Schubert   Modification of a Quasi-Newton Method
                                  for Nonlinear Equations with a Sparse
                                  Jacobian . . . . . . . . . . . . . . . . 27--30
                    J. M. Varah   Maximum Norm Stability of Difference
                                  Approximations to the Mixed Initial
                                  Boundary-Value Problem for the Heat
                                  Equation . . . . . . . . . . . . . . . . 31--44
             L. F. Shampine and   
                 R. J. Thompson   Difference Methods for Nonlinear
                                  First-Order Hyperbolic Systems of
                                  Equations  . . . . . . . . . . . . . . . 45--56
           Ephraim L. Rubin and   
                Stanley Preiser   Three-Dimensional Second-Order Accurate
                                  Difference Schemes for Discontinuous
                                  Hydrodynamic Flows . . . . . . . . . . . 57--63
              Martin H. Schultz   Elliptic Spline Functions and the
                                  Rayleigh--Ritz--Galerkin Method  . . . . 65--80
                  J. D. Lambert   Linear Multistep Methods with Mildly
                                  Varying Coefficients . . . . . . . . . . 81--93
                   P. Silvester   Symmetric Quadrature Formulae for
                                  Simplexes  . . . . . . . . . . . . . . . 95--100
                   J. N. Lyness   The Calculation of Fourier Coefficients
                                  by the Möbius Inversion of the Poisson
                                  Summation Formula. Part I: Functions
                                  whose Early Derivatives are Continuous   101--135
                    J. M. Varah   Computing Invariant Subspaces of a
                                  General Matrix When the Eigensystem Is
                                  Poorly Conditioned . . . . . . . . . . . 137--149
               J. L. Lavoie and   
                     R. Michaud   Explicit Expressions for the
                                  Determinants of Certain Matrices . . . . 151--154
                     D. Kershaw   Inequalities on the Elements of the
                                  Inverse of a Certain Tridiagonal Matrix  155--158
                Ichizo Ninomiya   Generalized Rational Chebyshev
                                  Approximation  . . . . . . . . . . . . . 159--169
                 W. J. Cody and   
       Kathleen A. Paciorek and   
          Henry C. Thacher, Jr.   Chebyshev Approximations for Dawson's
                                  Integral . . . . . . . . . . . . . . . . 171--178
              T. N. E. Greville   Table for Third-Degree Spline
                                  Interpolation with Equally Spaced
                                  Arguments  . . . . . . . . . . . . . . . 179--183
                  Fred T. Krogh   Efficient Algorithms for Polynomial
                                  Interpolation and Numerical
                                  Differentiation  . . . . . . . . . . . . 185--190
                 Yudell L. Luke   Further Approximations for Elliptic
                                  Integrals  . . . . . . . . . . . . . . . 191--198
                 D. G. Zill and   
                  B. C. Carlson   Symmetric Elliptic Integrals of the
                                  Third Kind . . . . . . . . . . . . . . . 199--214
                  Morris Newman   A Table of the First Factor for Prime
                                  Cyclotomic Fields  . . . . . . . . . . . 215--219
               J. H. Jordan and   
                   J. R. Rabung   A Conjecture of Paul Erd\Hos Concerning
                                  Gaussian Primes  . . . . . . . . . . . . 221--223
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 243--243

Mathematics of Computation
Volume 24, Number 110, April, 1970

                Walter Gautschi   On the Construction of Gaussian
                                  Quadrature Rules from Modified Moments   245--260
                    N. S. Kambo   Error of the Newton--Cotes and
                                  Gauss--Legendre Quadrature Formulas  . . 261--269
                M. Wayne Wilson   Discrete Least Squares and Quadrature
                                  Formulas . . . . . . . . . . . . . . . . 271--282
             R. F. Goodrich and   
                     F. Stenger   Movable Singularities and Quadrature . . 283--300
         Robert E. Barnhill and   
             Gregory M. Nielson   An error analysis for numerical multiple
                                  integration. III . . . . . . . . . . . . 301--314
             Alfred Carasso and   
              Seymour V. Parter   An Analysis of ``Boundary-Value
                                  Techniques'' for Parabolic Problems  . . 315--340
                      T. W. Sag   Chebyshev iteration methods for integral
                                  equations of the second kind . . . . . . 341--355
              G. Galimberti and   
                     V. Pereyra   Numerical Differentiation and the
                                  Solution of Multidimensional Vandermonde
                                  Systems  . . . . . . . . . . . . . . . . 357--364
                  C. G. Broyden   The Convergence of Single-Rank
                                  Quasi-Newton Methods . . . . . . . . . . 365--382
              David L. Phillips   Generalized Logarithmic Error and
                                  Newton's Method for the $m$ th Root  . . 383--389
                Ichizo Ninomiya   Best Rational Starting Approximations
                                  and Improved Newton Iteration for the
                                  Square Root  . . . . . . . . . . . . . . 391--404
                   E. W. Ng and   
                   C. J. Devine   On the Computation of Debye Functions of
                                  Integer Orders . . . . . . . . . . . . . 405--407
               Robert L. Pexton   Computer Investigation of Coulomb Wave
                                  Functions  . . . . . . . . . . . . . . . 409--411
         James Alan Cochran and   
          Judith N. Hoffspiegel   Numerical Techniques for Finding $ \nu
                                  $-Zeros of Hankel Functions  . . . . . . 413--422
                    Henri Cohen   On Amicable and Sociable Numbers . . . . 423--429
               Paul Bratley and   
                Fred Lunnon and   
                     John McKay   Amicable Numbers and Their Distribution  431--432
               D. H. Lehmer and   
                Emma Lehmer and   
                  Daniel Shanks   Integer Sequence having Prescribed
                                  Quadratic Character  . . . . . . . . . . 433--451
                  Simcha Brudno   On Generating Infinitely Many Solutions
                                  of the Diophantine Equation $ A^6 + B^6
                                  + C^6 = D^6 + E^6 + F^6 $  . . . . . . . 453--454
                W. A. Beyer and   
              N. Metropolis and   
                J. R. Neergaard   Statistical Study of Digits of Some
                                  Square Roots of Integers in Various
                                  Bases  . . . . . . . . . . . . . . . . . 455--473

Mathematics of Computation
Volume 24, Number 111, July, 1970

              Martin H. Schultz   Error Bounds for Polynomial Spline
                                  Interpolation  . . . . . . . . . . . . . 507--515
             R. B. Guenther and   
                  E. L. Roetman   Some Observations on Interpolation in
                                  Higher Dimensions  . . . . . . . . . . . 517--522
                   Leon Winslow   ``Best'' Interpolation, Differentiation,
                                  and Integration Approximations on the
                                  Hardy Space $ {H}^2 $  . . . . . . . . . 523--527
                 James T. Lewis   Computation of Best One-Sided $ {L}_1 $
                                  Approximation  . . . . . . . . . . . . . 529--536
               S. Berkowitz and   
                   F. J. Garner   The Calculation of Multidimensional
                                  Hermite Polynomials and Gram--Charlier
                                  Coefficients . . . . . . . . . . . . . . 537--545
           William B. Jones and   
                       G. Hardy   Accelerating Convergence of
                                  Trigonometric Approximations . . . . . . 547--560
          Philip Rabinowitz and   
                   Nira Richter   New Error Coefficients for Estimating
                                  Quadrature Errors for Analytic Functions 561--570
               David K. Kahaner   Chebyshev Type Quadrature Formulas . . . 571--574
               C. J. Knight and   
               A. C. R. Newbery   Trigonometric and Gaussian Quadrature    575--581
                Frank G. Lether   Cross-Product Cubature Error Bounds  . . 583--592
          Philip Rabinowitz and   
                   Nira Richter   Asymptotic Properties of Minimal
                                  Integration Rules  . . . . . . . . . . . 593--609
               Alan Solomon and   
                  Faiza Solomon   The Initial-Value Problem for the
                                  Equation $ (t u_t)_t = u_{xx} $  . . . . 611--620
         Òystein Todenes   On the Numerical Solution of the
                                  Diffusion Equation . . . . . . . . . . . 621--627
                  A. R. Gourlay   A Note on Trapezoidal Methods for the
                                  Solution of Initial Value Problems . . . 629--633
                     H. Brunner   Marginal Stability and Stabilization in
                                  the Numerical Integration of Ordinary
                                  Differential Equations . . . . . . . . . 635--646
                   D. F. Shanno   Conditioning of Quasi-Newton Methods for
                                  Function Minimization  . . . . . . . . . 647--656
               D. F. Shanno and   
                  P. C. Kettler   Optimal Conditioning of Quasi-Newton
                                  Methods  . . . . . . . . . . . . . . . . 657--664
                    P. Schlegel   The Explicit Inverse of a Tridiagonal
                                  Matrix . . . . . . . . . . . . . . . . . 665--665
                Henry E. Fettis   A New Method for Computing Toroidal
                                  Harmonics  . . . . . . . . . . . . . . . 667--670
                 W. J. Cody and   
                K. E. Hillstrom   Chebyshev Approximations for the Coulomb
                                  Phase Shift  . . . . . . . . . . . . . . 671--677
                   K. S. Kolbig   Complex Zeros of an Incomplete Riemann
                                  Zeta Function and of the Incomplete
                                  Gamma Function . . . . . . . . . . . . . 679--696
                  David W. Boyd   Lower Bounds for the Disk Packing
                                  Constant . . . . . . . . . . . . . . . . 697--704
               Andrzej Makowski   Remark on a Conjecture of Erd\Hos on
                                  Binomial Coefficients  . . . . . . . . . 705--705
                  John D. Dixon   Computing Irreducible Representations of
                                  Groups . . . . . . . . . . . . . . . . . 707--712
                E. R. Berlekamp   Factoring Polynomials Over Large Finite
                                  Fields . . . . . . . . . . . . . . . . . 713--735
               J. R. Rabung and   
                   J. H. Jordan   Consecutive Power Residues or
                                  Nonresidues  . . . . . . . . . . . . . . 737--740
                   D. H. Lehmer   Note on the Distribution of Ramanujan's
                                  Tau Function . . . . . . . . . . . . . . 741--743
                W. A. Beyer and   
              N. Metropolis and   
                J. R. Neergaard   The Generalized Serial Test Applied to
                                  Expansions of Some Irrational Square
                                  Roots in Various Bases . . . . . . . . . 745--747

Mathematics of Computation
Volume 24, Number 112, October, 1970

              Remi Vaillancourt   On the Stability of Friedrich's Scheme
                                  and the Modified Lax--Wendroff Scheme    767--770
                 Victor Pereyra   Highly Accurate Numerical Solution of
                                  Casilinear Elliptic Boundary-Value
                                  Problems in $n$ Dimensions . . . . . . . 771--783
                 Alfred Carasso   A Posteriori Bounds in the Numerical
                                  Solution of Mildly Nonlinear Parabolic
                                  Equations  . . . . . . . . . . . . . . . 785--792
                 David M. Young   Convergence Properties of the Symmetric
                                  and Unsymmetric Successive
                                  Overrelaxation Methods and Related
                                  Methods  . . . . . . . . . . . . . . . . 793--807
           James H. Bramble and   
          Milo\us Zlámal   Triangular Elements in the Finite
                                  Element Method . . . . . . . . . . . . . 809--820
                      J. Burbea   A Procedure for Conformal Maps of Simply
                                  Connected Domains by Using the Bergman
                                  Function . . . . . . . . . . . . . . . . 821--829
          Philip Rabinowitz and   
                   Nira Richter   Chebyshev-Type Integration Rules of
                                  Minimum Norm . . . . . . . . . . . . . . 831--845
       Sven-Åke Gustafson   Control and Estimation of Computational
                                  Errors in the Evaluation of
                                  Interpolation Formulae and Quadrature
                                  Rules  . . . . . . . . . . . . . . . . . 847--854
                  F. N. Fritsch   On the Existence of Regions With Minimal
                                  Third Degree Integration Formulas  . . . 855--861
                     N. K. Basu   Error Estimates for a Chebyshev
                                  Quadrature Method  . . . . . . . . . . . 863--867
               A. C. R. Newbery   Trigonometric Interpolation and
                                  Curve-Fitting  . . . . . . . . . . . . . 869--876
               I. Barrodale and   
                    J. C. Mason   Two Simple Algorithms for Discrete
                                  Rational Approximation . . . . . . . . . 877--891
            Ake Björck and   
                 Victor Pereyra   Solution of Vandermonde Systems of
                                  Equations  . . . . . . . . . . . . . . . 893--903
                     Peter Linz   On the Numerical Computation of
                                  Eigenvalues and Eigenvectors of
                                  Symmetric Integral Equations . . . . . . 905--910
                   F. M. Larkin   Optimal Approximation in Hilbert Spaces
                                  with Reproducing Kernel Functions  . . . 911--921
                 J. B. Diaz and   
                  F. T. Metcalf   On Iteration Procedures for Equations of
                                  the First Kind, $ A x = y $, and
                                  Picard's Criterion for the Existence of
                                  a Solution . . . . . . . . . . . . . . . 923--935
          Robert K. Brayton and   
          Fred G. Gustavson and   
            Ralph A. Willoughby   Some Results on Sparse Matrices  . . . . 937--954
                Donald E. Knuth   A Note on Solid Partitions . . . . . . . 955--961
               Peter Hagis, Jr.   Lower Bounds for Relatively Prime
                                  Amicable Numbers of Opposite Parity  . . 963--968
                Hans Riesel and   
                    Gunnar Gohl   Some Calculations Related to Riemann's
                                  Prime Number Formula . . . . . . . . . . 969--983
                      Anonymous   Corrigendum  . . . . . . . . . . . . . . 1001--1001


Mathematics of Computation
Volume 25, Number 113, January, 1971

              J. H. Bramble and   
                   A. H. Schatz   Least Squares Methods for $ 2 m $ th
                                  Order Elliptic Boundary-Value Problems   1--32
                Olof B. Widlund   On the Effects of Scaling of the
                                  Peaceman--Rachford Method  . . . . . . . 33--41
               Magnus Bondesson   An Interior a Priori Estimate for
                                  Parabolic Difference Operators and an
                                  Application  . . . . . . . . . . . . . . 43--58
                   J. N. Lyness   The Calculation of Fourier Coefficients
                                  by the Möbius Inversion of the Poisson
                                  Summation Formula Part II. Piecewise
                                  Continuous Functions and Functions with
                                  Poles near the Interval [0, 1] . . . . . 59--78
               D. Nicholson and   
              P. Rabinowitz and   
                 N. Richter and   
                  D. Zeilberger   On the Error in the Numerical
                                  Integration of Chebyshev Polynomials . . 79--86
                   J. N. Lyness   Adjusted Forms of the Fourier
                                  Coefficient Asymptotic Expansion and
                                  Applications in Numerical Quadrature . . 87--104
                  K. Salkauskas   Existence of Quadrature Formulae with
                                  Almost Equal Weights . . . . . . . . . . 105--109
                   David Galant   An Implementation of Christoffel's
                                  Theorem in the Theory of Orthogonal
                                  Polynomials  . . . . . . . . . . . . . . 111--113
                 F. D. Burgoyne   Practical Throw-Back Interpolation . . . 115--117
              Herbert E. Salzer   Formulas for Bivariate Hyperosculatory
                                  Interpolation  . . . . . . . . . . . . . 119--133
             G. W. Stewart, III   Error Analysis of the Algorithm for
                                  Shifting the Zeros of a Polynomial by
                                  Synthetic Division . . . . . . . . . . . 135--139
                 J. McNamee and   
                 F. Stenger and   
                  E. L. Whitney   Whittaker's Cardinal Function in
                                  Retrospect . . . . . . . . . . . . . . . 141--154
                Frantisek Fiala   Strongly Asymmetric Sequences Generated
                                  by Four Elements . . . . . . . . . . . . 155--162
                   T. W. Cusick   Diophantine Approximation of Ternary
                                  Linear Forms . . . . . . . . . . . . . . 163--180
                     C. H. Yang   On Hadamard Matrices Constructible by
                                  Circulant Submatrices  . . . . . . . . . 181--186
             G. W. Stewart, III   Corrigendum: ``On Lehmer's Method for
                                  Finding the Zeros of a Polynomial''  . . 203--203

Mathematics of Computation
Volume 25, Number 114, April, 1971

             Philip Brenner and   
                   Vidar Thomee   Contractive Difference Schemes for
                                  Symmetric Hyperbolic Systems . . . . . . 205--217
                  Melvyn Ciment   Stable Difference Schemes with Uneven
                                  Mesh Spacings  . . . . . . . . . . . . . 219--227
                Gideon Zwas and   
                 Saul Abarbanel   Third and Fourth Order Accurate Schemes
                                  for Hyperbolic Equations of Conservation
                                  Law Form . . . . . . . . . . . . . . . . 229--236
                  J. R. Kuttler   A Fourth-Order Finite-Difference
                                  Approximation for the Fixed Membrane
                                  Eigenproblem . . . . . . . . . . . . . . 237--256
            Robert S. Stepleman   Difference Analogues of Quasi-Linear
                                  Elliptic Dirichlet Problems with Mixed
                                  Derivatives  . . . . . . . . . . . . . . 257--269
                   Fred W. Dorr   An Example of Ill-Conditioning in the
                                  Numerical Solution of Singular
                                  Perturbation Problems  . . . . . . . . . 271--283
                  C. G. Broyden   The Convergence of an Algorithm for
                                  Solving Sparse Nonlinear Systems . . . . 285--294
                 C. T. Fike and   
                 P. H. Sterbenz   Minimax Approximations Subject to a
                                  Constraint . . . . . . . . . . . . . . . 295--298
                Richard F. King   Improved Newton Iteration for Integral
                                  Roots  . . . . . . . . . . . . . . . . . 299--304
                Ll. G. Chambers   A Quadratic Formula for Finding the Root
                                  of an Equation . . . . . . . . . . . . . 305--307
                  David Elliott   Uniform Asymptotic Expansions of the
                                  Jacobi Polynomials and an Associated
                                  Function . . . . . . . . . . . . . . . . 309--315
                   Robert Spira   Calculation of the Gamma Function by
                                  Stirling's Formula . . . . . . . . . . . 317--322
                 Yudell L. Luke   Miniaturized Tables of Bessel Functions  323--330
             Chih-Bing Ling and   
                       Jung Lin   A New Method of Evaluation of Howland
                                  Integrals  . . . . . . . . . . . . . . . 331--337
                   F. Matta and   
                     A. Reichel   Uniform Computation of the Error
                                  Function and Other Related Functions . . 339--344
                W. A. Beyer and   
                 R. B. Roof and   
             Dorothy Williamson   The Lattice Structure of Multiplicative
                                  Congruential Pseudo-Random Vectors . . . 345--363
                  J. M. Pollard   The Fast Fourier Transform in a Finite
                                  Field  . . . . . . . . . . . . . . . . . 365--374
             Michael A. Malcolm   A Note on a Conjecture of L. J. Mordell  375--377
                  Hansraj Gupta   Chains of Quadratic Residues . . . . . . 379--382
              Wayne L. McDaniel   On the Divisibility of an Odd Perfect
                                  Number by the Sixth Power of a Prime . . 383--385
               K. Y. Choong and   
               D. E. Daykin and   
                 C. R. Rathbone   Rational Approximations to $ \pi $ . . . 387--392
                      Anonymous   Reviews and Descriptions of Tables and
                                  Books  . . . . . . . . . . . . . . . . . 393--404
                      Anonymous   Table Errata . . . . . . . . . . . . . . 405--408
             Anthony J. Strecok   Table errata: \booktitleHandbook of
                                  mathematical functions with formulas,
                                  graphs, and mathematical tables (Nat.
                                  Bur. Standards, Washington, D. C.,
                                  1964), edited by Milton Abramowitz and
                                  Irene A. Stegun  . . . . . . . . . . . . 405--405
                Henry E. Fettis   Table errata: \booktitleTables of
                                  toroidal harmonics. I: Orders 0 5, all
                                  significant degrees (Aerospace Res.
                                  Lab., Office of Aerospace Res., United
                                  States Air Force, Wright-Patterson Air
                                  Force Base, Ohio, 1969) by Fettis and
                                  James C. Caslin  . . . . . . . . . . . . 405--407
                Henry E. Fettis   Table errata: \booktitleTables of
                                  toroidal harmonics, II: Orders 5 10, all
                                  significant degrees (Aerospace Res.
                                  Lab., Office of Aerospace Res. United
                                  States Air Force, Wright-Patterson Air
                                  Force Base, Ohio, 1969) by Fettis and
                                  James C. Caslin  . . . . . . . . . . . . 407--408
                  Daniel Shanks   Corrigendum to: On generating infinitely
                                  many solutions of the Diophantine
                                  equation $ A^6 + B^6 + C^6 = D^6 + E^6 +
                                  F^6 $, (Math. Comp. 24 (1970), 453--454)
                                  by Simcha Brudno . . . . . . . . . . . . 409--409
                  Daniel Shanks   Corrigendum to: ``Statistical study of
                                  digits of some square roots of integers
                                  in various bases'' (Math. Comp. \bf 24
                                  (1970), 455--473) by W. A. Beyer, N.
                                  Metropolis and J. R. Neergaard . . . . . 409--409
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 409--409
                      Anonymous   Notice . . . . . . . . . . . . . . . . . 411

Mathematics of Computation
Volume 25, Number 115, July, 1971

               Joel N. Franklin   Stability of Bounded Solutions of Linear
                                  Functional Equations . . . . . . . . . . 413--424
                Gary G. Sackett   Numerical Solution of a Parabolic Free
                                  Boundary Problem Arising in Statistical
                                  Decision Theory  . . . . . . . . . . . . 425--434
                 Colin W. Cryer   The Method of Christopherson for Solving
                                  Free Boundary Problems for Infinite
                                  Journal Bearings by Means of Finite
                                  Differences  . . . . . . . . . . . . . . 435--443
             L. F. Shampine and   
                    H. A. Watts   Comparing Error Estimators for
                                  Runge--Kutta Methods . . . . . . . . . . 445--455
         R. W. Klopfenstein and   
                    C. B. Davis   PECE Algorithms for the Solution of
                                  Stiff Systems of Ordinary Differential
                                  Equations  . . . . . . . . . . . . . . . 457--473
                T. N. Robertson   The Linear Two-Point Boundary-Value
                                  Problem on an Infinite Interval  . . . . 475--481
                   J. N. Lyness   The Calculation of Fourier Coefficients
                                  by the Möbius Inversion of the Poisson
                                  Summation Formula. Part III: Functions
                                  Having Algebraic Singularities . . . . . 483--493
                    C. S. Duris   Optimal Quadrature Formulas Using
                                  Generalized Inverses. Part I: General
                                  Theory and Minimum Variance Formulas . . 495--504
             Alan Feldstein and   
              Richard K. Miller   Error Bounds for Compound Quadrature of
                                  Weakly Singular Integrals  . . . . . . . 505--520
                   R. K. Miller   On Ignoring the Singularity in Numerical
                                  Quadrature . . . . . . . . . . . . . . . 521--532
                  M. L. Glasser   An Elliptic Integral Identity  . . . . . 533--534
              M. L. Glasser and   
                     V. E. Wood   A Closed Form Evaluation of the Elliptic
                                  Integral . . . . . . . . . . . . . . . . 535--536
                 W. J. Cody and   
            K. E. Hillstrom and   
          Henry C. Thacher, Jr.   Chebyshev Approximations for the Riemann
                                  Zeta Function  . . . . . . . . . . . . . 537--547
               A. C. R. Newbery   A Generalized Interpolation Algorithm    549--552
           Robert E. Huddleston   Some Relations Between the Values of a
                                  Function and its First Derivative at $n$
                                  Abscissa Points  . . . . . . . . . . . . 553--558
              J. E. Dennis, Jr.   On the convergence of Broyden's method
                                  for nonlinear systems of equations . . . 559--567
            A. A. Goldstein and   
                    J. F. Price   On Descent from Local Minima . . . . . . 569--574
              Bernard H. Rosman   Exponential Chebyshev Approximation on
                                  Finite Subsets of $ \lbrack 0, 1 \rbrack
                                  $  . . . . . . . . . . . . . . . . . . . 575--577
                 Ahmed H. Sameh   On Jacobi and Jacobi-like Algorithms for
                                  a Parallel Computer  . . . . . . . . . . 579--590
           Christian H. Reinsch   A Stable, Rational $ {QR} $ Algorithm
                                  for the Computation of the Eigenvalues
                                  of an Hermitian, Tridiagonal Matrix  . . 591--597
              James L. Phillips   The Triangular Decomposition of Hankel
                                  Matrices . . . . . . . . . . . . . . . . 599--602
                   Robert Riley   Homomorphisms of Knot Groups on Finite
                                  Groups . . . . . . . . . . . . . . . . . 603--619
                   Ronald Alter   On a Diophantine Equation Related to
                                  Perfect Codes  . . . . . . . . . . . . . 621--624
                 N. M. Stephens   On the Feit--Thompson Conjecture . . . . 625--625
                      Anonymous   Reviews and Descriptions of Tables and
                                  Books  . . . . . . . . . . . . . . . . . 627--633
                       B. N. P.   Book Review: A. S. Householder,
                                  \booktitleKWIC Index for Matrices in
                                  Numerical Analysis, Volume I: Primary
                                  Authors A--J, viii + 124 pp.,
                                  \booktitleVolume II: Primary Authors
                                  K--Z, vii + 151 pp., 1969, Oak Ridge
                                  National Laboratory, Oak Ridge,
                                  Tennessee, 28 cm. Available from
                                  National Technical Information Service,
                                  U. S. Department of Commerce,
                                  Springfield, Virginia 22151. Price:
                                  Printed copy \$3.00, Microfiche \$0.65,
                                  each volume  . . . . . . . . . . . . . . 628--628
                  J. C. Eilbeck   Table errata: \booktitleHigher
                                  transcendental functions. Vol. I, II
                                  (McGraw-Hill, New York, 1953) by A.
                                  Erdélyi, W. Magnus, F. Oberhettinger and
                                  F. G. Tricomi  . . . . . . . . . . . . . 635
                      Anonymous   Table Errata . . . . . . . . . . . . . . 635
                      Anonymous   Corrigendum  . . . . . . . . . . . . . . 637--637

Mathematics of Computation
Volume 25, Number 116, October, 1971

                   John R. Rice   Matrix Representations of Nonlinear
                                  Equation Iterations--Application to
                                  Parallel Computation . . . . . . . . . . 639--647
              O. L. Mangasarian   Convergent Generalized Monotone
                                  Splitting of Matrices  . . . . . . . . . 649--653
               G. T. McAllister   The Dirichlet Problem for a Class of
                                  Elliptic Difference Equations  . . . . . 655--673
         Jan Krzysztof Kowalski   A Finite-Difference Method for Parabolic
                                  Differential Equations with Mixed
                                  Derivatives  . . . . . . . . . . . . . . 675--698
               L. M. Delves and   
                     K. O. Mead   On the Convergence Rates of Variational
                                  Methods. I: Asymptotically Diagonal
                                  Systems  . . . . . . . . . . . . . . . . 699--716
                 W. L. Miranker   Matricial Difference Schemes for
                                  Integrating Stiff Systems of Ordinary
                                  Differential Equations . . . . . . . . . 717--728
             Bruce Chartres and   
               Robert Stepleman   Convergence of Difference Methods for
                                  Initial and Boundary Value Problems with
                                  Discontinuous Data . . . . . . . . . . . 729--732
                 George G. Ross   On the Computation of Some Grunsky
                                  Coefficients Relevant to the Bieberbach
                                  Conjecture . . . . . . . . . . . . . . . 733--741
                      J. Burbea   A Numerical Determination of the Modulus
                                  of Doubly Connected Domains by Using the
                                  Bergman Curvature  . . . . . . . . . . . 743--756
                George U. Ramos   Roundoff Error Analysis of the Fast
                                  Fourier Transform  . . . . . . . . . . . 757--768
                       N. Liron   Infinite Sums of Roots for a Class of
                                  Transcendental Equations and Bessel
                                  Functions of Order One-Half  . . . . . . 769--781
                    R. Wong and   
                  E. Rosenbloom   Series Expansions of $ {W}_{k, m}(z) $
                                  Involving Parabolic Cylinder Functions   783--787
                 Yudell L. Luke   Miniaturized Tables of Bessel Functions,
                                  II . . . . . . . . . . . . . . . . . . . 789--795
                  W. D. Hoskins   Table for Third-Degree Spline
                                  Interpolation Using Equi-Spaced Knots    797--801
                 Richard Franke   Obtaining Cubatures for Rectangles and
                                  Other Planar Regions by Using Orthogonal
                                  Polynomials  . . . . . . . . . . . . . . 803--817
                     P. D. Tuan   On the Remainder in Quadrature Rules . . 819--826
               David K. Kahaner   Some Polynomials for Complex Quadrature  827--830
              L. W. Johnson and   
                    R. D. Riess   Minimal Quadratures for Functions of
                                  Low-Order Continuity . . . . . . . . . . 831--835
                  Daniel Shanks   Gauss's Ternary Form Reduction and the
                                  $2$-Sylow Subgroup . . . . . . . . . . . 837--853
                      U. Dieter   Pseudo-Random Numbers: The Exact
                                  Distribution of Pairs  . . . . . . . . . 855--883
                  S. L. G. Choi   Covering the Set of Integers by
                                  Congruence Classes of Distinct Moduli    885--895
              Gordon H. Bradley   Algorithms for Hermite and Smith Normal
                                  Matrices and Linear Diophantine
                                  Equations  . . . . . . . . . . . . . . . 897--907
                  J. H. Cadwell   Large Intervals Between Consecutive
                                  Primes . . . . . . . . . . . . . . . . . 909--913
               Peter Hagis, Jr.   Unitary Amicable Numbers . . . . . . . . 915--918
                   D. Rosen and   
           G. S. Patterson, Jr.   Some Numerical Evidence Concerning the
                                  Uniqueness of the Markov Numbers . . . . 919--921
                     M. Lal and   
                      A. Forbes   A Note on Chowla's Function  . . . . . . 923--925
                  Jacques Dutka   The Square Root of $2$ to $ 1, 000, 000$
                                  Decimals . . . . . . . . . . . . . . . . 927--930
                      Anonymous   Corrigendum  . . . . . . . . . . . . . . 947--947


Mathematics of Computation
Volume 26, Number 117, January, 1972

                  Ivo Babu\vska   The Finite Element Method for Infinite
                                  Domains. I . . . . . . . . . . . . . . . 1--11
                  Stanley Osher   Stability of parabolic difference
                                  approximations to certain mixed initial
                                  boundary value problems  . . . . . . . . 13--39
                       B. Eilon   A note concerning the two-step
                                  Lax--Wendroff method in three dimensions 41--43
                   N. K. Madsen   Convergence of singular difference
                                  approximations for the discrete ordinate
                                  equations in $x$-$y$ geometry  . . . . . 45--50
           Karl G. Guderley and   
                   Chen-Chi Hsu   A Predictor-Corrector Method for a
                                  Certain Class of Stiff Differential
                                  Equations  . . . . . . . . . . . . . . . 51--69
                     R. K. Jain   Some $A$-stable methods for stiff
                                  ordinary differential equations  . . . . 71--77
                  J. C. Butcher   An Algebraic Theory of Integration
                                  Methods  . . . . . . . . . . . . . . . . 79--106
                  J. C. Butcher   A convergence criterion for a class of
                                  integration methods  . . . . . . . . . . 107--117
          Alston S. Householder   On a Condition for the Nonsingularity of
                                  a Matrix . . . . . . . . . . . . . . . . 119--120
               J. W. Rainey and   
                 G. J. Habetler   Tridiagonalization of completely
                                  nonnegative matrices . . . . . . . . . . 121--128
                    Ronald Bass   A Rank Two Algorithm for Unconstrained
                                  Minimization . . . . . . . . . . . . . . 129--143
                John Greenstadt   A Quasi-Newton Method with No
                                  Derivatives  . . . . . . . . . . . . . . 145--166
                    A. K. Cline   Rate of Convergence of Lawson's
                                  Algorithm  . . . . . . . . . . . . . . . 167--176
                  Richard Weiss   Product integration for the generalized
                                  Abel equation  . . . . . . . . . . . . . 177--190
                     D. Kershaw   The orders of approximation of the first
                                  derivative of cubic splines at the knots 191--198
                  Jack Williams   Numerical Chebyshev approximation by
                                  interpolating rationals  . . . . . . . . 199--206
               A. R. Curtis and   
                  P. Rabinowitz   On the Gaussian integration of Chebyshev
                                  polynomials  . . . . . . . . . . . . . . 207--211
                 P. D. Tuan and   
                  David Elliott   Coefficients in series expansions for
                                  certain classes of functions . . . . . . 213--232
            Richard Bellman and   
               B. G. Kashef and   
                   R. Vasudevan   A Useful Approximation to $ e^{-t^2} $   233--235
                 Yudell L. Luke   Miniaturized Tables of Bessel Functions.
                                  III  . . . . . . . . . . . . . . . . . . 237--240
                  D. M. Chipman   The numerical computation of two
                                  transcendental functions related to the
                                  exponential integral . . . . . . . . . . 241--249
                       Jet Wimp   Some Transformations of Monotone
                                  Sequences  . . . . . . . . . . . . . . . 251--254
                 D. E. Amos and   
                  W. G. Bulgren   Computation of a Multivariate $ {F} $
                                  Distribution . . . . . . . . . . . . . . 255--264
              Daniel Shanks and   
                      Mohan Lal   Bateman's Constants Reconsidered and the
                                  Distribution of Cubic Residues . . . . . 265--285
                      Anonymous   Reviews and Descriptions of Tables and
                                  Books  . . . . . . . . . . . . . . . . . 287--303
                  W. Rheinboldt   Book Review: A. S. Householder,
                                  \booktitleKWIC Index for the Numerical
                                  Treatment of Nonlinear Equations, Oak
                                  Ridge National Laboratory, Oak Ridge,
                                  Tennessee, 1970, vii + 129 pp., 28 cm.
                                  Available from U. S. Department of
                                  Commerce, Springfield, Va. 22151. Price:
                                  printed copy \$3.00; microfiche \$0.65.  287--303
                      Anonymous   Table Errata . . . . . . . . . . . . . . 305--307
            Robert F. MacKinnon   Table errata: \booktitleTable of
                                  integrals, series, and products (English
                                  translation of the fourth Russian
                                  edition, Academic Press, New York, 1965)
                                  by I. S. Gradshteyn and I. M. Ryzhik . . 305
                       Jet Wimp   Corrigendum: \booktitlePolynomial
                                  expansions of Bessel functions and some
                                  associated functions (Math. Comp. \bf 16
                                  (1962), 446--458)  . . . . . . . . . . . 309--309
                   W. F. Lunnon   Corrigendum: \booktitleExplicit
                                  expressions for the determinants of
                                  certain matrices (Math. Comp. \bf 24
                                  (1970), 151--154) by J. L. Lavoie and R.
                                  Michaud  . . . . . . . . . . . . . . . . 309
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 309--309

Mathematics of Computation
Volume 26, Number 118, April, 1972

                Louis Bauer and   
                Edward L. Reiss   Block five diagonal matrices and the
                                  fast numerical solution of the
                                  biharmonic equation  . . . . . . . . . . 311--326
              John K. Hayes and   
           David K. Kahaner and   
             Richard G. Kellner   An Improved Method for Numerical
                                  Conformal Mapping  . . . . . . . . . . . 327--334
                  L. W. Ehrlich   Coupled harmonic equations, SOR, and
                                  Chebyshev acceleration . . . . . . . . . 335--343
               David R. Kincaid   Norms of the Successive Overrelaxation
                                  Method . . . . . . . . . . . . . . . . . 345--357
                  R. B. Simpson   Existence and error estimates for
                                  solutions of a discrete analog of
                                  nonlinear eigenvalue problems  . . . . . 359--375
             R. L. Johnston and   
                      S. K. Pal   The numerical solution of hyperbolic
                                  systems using bicharacteristics  . . . . 377--392
              W. D. Hoskins and   
                    P. J. Ponzo   Some Properties of a Class of Band
                                  Matrices . . . . . . . . . . . . . . . . 393--400
               P. Lancaster and   
                  H. K. Farahat   Norms on Direct Sums and Tensor Products 401--414
                Bernie L. Hulme   One-Step Piecewise Polynomial Galerkin
                                  Methods for Initial Value Problems . . . 415--426
                     E. Gekeler   On the solution of systems of equations
                                  by the epsilon algorithm of Wynn . . . . 427--436
                     A. K. Paul   Anharmonic Frequency Analysis  . . . . . 437--447
                Thomas J. Osler   An Integral Analogue of Taylor's Series
                                  and its Use in Computing Fourier
                                  Transforms . . . . . . . . . . . . . . . 449--460
                  Torsten Strom   Monotonicity in Romberg Quadrature . . . 461--465
                  A. Pelios and   
             R. W. Klopfenstein   Minimal error constant numerical
                                  differentiation (N.D.) formulas  . . . . 467--475
               David K. Kahaner   Minimum norm differentiation formulas
                                  with improved roundoff error bounds  . . 477--485
              Geneva G. Belford   Uniform approximation of vector-valued
                                  functions with a constraint  . . . . . . 487--492
                S. E. Weinstein   Uniform Approximation Through
                                  Partitioning . . . . . . . . . . . . . . 493--503
                    S. W. Kahng   Best $ {L}_p $ Approximation . . . . . . 505--508
                     Peter Linz   A Method for Computing Bessel Function
                                  Integrals  . . . . . . . . . . . . . . . 509--513
            Robert F. MacKinnon   The asymptotic expansions of Hankel
                                  transforms and related integrals . . . . 515--527
             Chih-Bing Ling and   
                       Jung Lin   On Evaluation of Moments of $ {K}_\nu
                                  (t) / {I}_\nu (t) $  . . . . . . . . . . 529--537
               D. B. Hunter and   
                       T. Regan   A note on the evaluation of the
                                  complementary error function . . . . . . 539--541
                  B. C. Carlson   An algorithm for computing logarithms
                                  and arctangents  . . . . . . . . . . . . 543--549
                   K. S. Kolbig   Complex zeros of two incomplete Riemann
                                  zeta functions . . . . . . . . . . . . . 551--565
                   Alan Borning   Some Results for $ k ! \pm 1 $ and $ 2
                                  \cdot 3 \cdot 5 \cdots p \pm 1 $ . . . . 567--570
                   Walter Borho   On Thabit ibn Kurrah's formula for
                                  amicable numbers . . . . . . . . . . . . 571--578
                     M. Lal and   
                     P. Gillard   On the Equation $ \phi (n) = \phi (n +
                                  k) $ . . . . . . . . . . . . . . . . . . 579--583
                          E. I.   Book Review: \booktitleConstructive
                                  Aspects of the Fundamental Theorem of
                                  Algebra, by B. Dejon and P. Henrici  . . 588--589
                      Anonymous   Corrigendum  . . . . . . . . . . . . . . 601--601

Mathematics of Computation
Volume 26, Number 119, July, 1972

           Heinz-Otto O. Kreiss   Difference approximations for boundary
                                  and eigenvalue problems for ordinary
                                  differential equations . . . . . . . . . 605--624
                     H. Brunner   A Note on Modified Optimal Linear
                                  Multistep Methods  . . . . . . . . . . . 625--631
           James H. Bramble and   
                   Vidar Thomee   Semidiscrete-Least Squares Methods for a
                                  Parabolic Boundary Value Problem . . . . 633--648
          Bertil Gustafsson and   
          Heinz-Otto Kreiss and   
            Arne Sundström   Stability theory of difference
                                  approximations for mixed initial
                                  boundary value problems. II  . . . . . . 649--686
                P. J. Davis and   
                  P. Rabinowitz   On the nonexistence of simplex
                                  integration rules for infinite integrals 687--688
               David K. Kahaner   Numerical Quadrature by the $ \epsilon
                                  $-Algorithm  . . . . . . . . . . . . . . 689--693
             J. H. Hetherington   An Error Bound for Quadratures . . . . . 695--698
              J. H. Rowland and   
                    Y. L. Varol   Exit criteria for Simpson's compound
                                  rule . . . . . . . . . . . . . . . . . . 699--703
           David R. Kincaid and   
                 David M. Young   The modified successive overrelaxation
                                  method with fixed parameters . . . . . . 705--717
                  Leroy J. Derr   Inversion of Isoclinal Matrices  . . . . 719--721
               Earl H. McKinney   Generalized Recursive Multivariate
                                  Interpolation  . . . . . . . . . . . . . 723--735
                 James T. Lewis   Computation of Best Monotone
                                  Approximations . . . . . . . . . . . . . 737--747
                      M. G. Cox   A note on Chambers' method for finding a
                                  zero of a function . . . . . . . . . . . 749--750
                   K. S. Kolbig   On the Zeros of the Incomplete Gamma
                                  Function . . . . . . . . . . . . . . . . 751--755
                Jerry L. Fields   The asymptotic expansion of the Meijer
                                  $G$-function . . . . . . . . . . . . . . 757--765
        Samuel S. Wagstaff, Jr.   On $k$-Free Sequences of Integers  . . . 767--771
            Charles R. Wall and   
           Phillip L. Crews and   
              Donald B. Johnson   Density Bounds for the Sum of Divisors
                                  Function . . . . . . . . . . . . . . . . 773--777
                Charles R. Wall   Density Bounds for Euler's Function  . . 779--783
            David G. Cantor and   
            Paul H. Galyean and   
                Horst G. Zimmer   A continued fraction algorithm for real
                                  algebraic numbers  . . . . . . . . . . . 785--791
            Harald Niederreiter   On the Distribution of Pseudo-Random
                                  Numbers Generated by the Linear
                                  Congruential Method  . . . . . . . . . . 793--795
                      Anonymous   Corrigendum  . . . . . . . . . . . . . . 815--815

Mathematics of Computation
Volume 26, Number 120, October, 1972

             George E. Forsythe   Von Neumann's comparison method for
                                  random sampling from the normal and
                                  other distributions  . . . . . . . . . . 817--826
                    D. Goldfarb   Modification Methods for Inverting
                                  Matrices and Solving Systems of Linear
                                  Algebraic Equations  . . . . . . . . . . 829--852
             Robert J. Plemmons   Monotonicity and Iterative
                                  Approximations Involving Rectangular
                                  Matrices . . . . . . . . . . . . . . . . 853--858
                    J. M. Varah   On the Solution of Block-Tridiagonal
                                  Systems Arising from Certain
                                  Finite-Difference Equations  . . . . . . 859--868
           James H. Bramble and   
                Todd Dupont and   
                   Vidar Thomee   Projection methods for Dirichlet's
                                  problem in approximating polygonal
                                  domains with boundary-value corrections  869--879
                Bernie L. Hulme   Discrete Galerkin and related one-step
                                  methods for ordinary differential
                                  equations  . . . . . . . . . . . . . . . 881--891
            Richard F. Sincovec   On the solution of the equations arising
                                  from collocation with cubic B-splines    893--895
          Thomas I. Seidman and   
               Robert J. Korsan   Endpoint Formulas for Interpolatory
                                  Cubic Splines  . . . . . . . . . . . . . 897--900
                   Gerhard Merz   Remark on a Paper by Huddleston  . . . . 901--902
                Thomas J. Osler   The Integral Analog of the Leibniz Rule  903--915
             Peter R. Lipow and   
                  Frank Stenger   How Slowly Can Quadrature Formulas
                                  Converge?  . . . . . . . . . . . . . . . 917--922
                Walter Gautschi   The Condition of Orthogonal Polynomials  923--924
                       R. Kress   On the General Hermite Cardinal
                                  Interpolation  . . . . . . . . . . . . . 925--933
            W. Morven Gentleman   Optimal multiplication chains for
                                  computing a power of a symbolic
                                  polynomial . . . . . . . . . . . . . . . 935--939
             F. W. J. Olver and   
                   D. J. Sookne   Note on Backward Recurrence Algorithms   941--947
                      R. Parnes   Complex zeros of the modified Bessel
                                  function $ K_n(Z) $  . . . . . . . . . . 949--953
              A. J. Strecok and   
                  J. A. Gregory   High Precision Evaluation of the
                                  Irregular Coulomb Wave Functions . . . . 955--961
                   Shoon K. Kim   The Asymptotic Expansion of a
                                  Hypergeometric Function $_2 {F}_2 (1,
                                  \alpha; \rho_1, \rho_2; z)$  . . . . . . 963--963
                Henry E. Fettis   An Explicit Addition Formula for the
                                  Inverse Jacobian Elliptic Functions  . . 965--967
           H. M. Srivastava and   
                  J. P. Singhal   A unified presentation of certain
                                  classical polynomials  . . . . . . . . . 969--975
                   T. W. Cusick   Diophantine approximation of ternary
                                  linear forms. II . . . . . . . . . . . . 977--993
             H. C. Williams and   
                   C. R. Zarnke   Some Prime Numbers of the Forms $ 2
                                  {A3}^n + 1 $ and $ 2 {A3}^n - 1 $  . . . 995--998
               M. S. Cheema and   
                   W. E. Conway   Numerical investigation of certain
                                  asymptotic results in the theory of
                                  partitions . . . . . . . . . . . . . . . 999--1005
                  Svein Mossige   Table of Irreducible Polynomials Over $
                                  \mathrm {GF} \lbrack 2 \rbrack $ of
                                  Degrees 10 Through 20  . . . . . . . . . 1007--1009
                 John Brillhart   Note on Representing a Prime as a Sum of
                                  Two Squares  . . . . . . . . . . . . . . 1011--1013
                      Anonymous   Corrigendum  . . . . . . . . . . . . . . 1031--1031


Mathematics of Computation
Volume 27, Number 121, January, 1973

          Alexandre Joel Chorin   Accurate Evaluation of Wiener Integrals  1--15
           Jim Douglas, Jr. and   
                    Todd Dupont   A finite element collocation method for
                                  quasilinear parabolic equations  . . . . 17--28
            Gerald Browning and   
          Heinz-Otto Kreiss and   
                  Joseph Oliger   Mesh Refinement  . . . . . . . . . . . . 29--39
                 Moshe Goldberg   A note on the stability of an iterative
                                  finite-difference method for hyperbolic
                                  systems  . . . . . . . . . . . . . . . . 41--44
                    B. Fornberg   On the Instability of Leap-Frog and
                                  Crank--Nicolson Approximations of a
                                  Nonlinear Partial Differential Equation  45--57
           G. T. McAllister and   
                  E. F. Sabotka   Discrete Green's Functions . . . . . . . 59--80
                Stephen Hilbert   A Mollifier Useful for Approximations in
                                  Sobolev Spaces and Some Applications to
                                  Approximating Solutions of Differential
                                  Equations  . . . . . . . . . . . . . . . 81--89
                 L. F. Shampine   Local extrapolation in the solution of
                                  ordinary differential equations  . . . . 91--97
              Arun N. Netravali   Spline approximation to the solution of
                                  the Volterra integral equation of the
                                  second kind  . . . . . . . . . . . . . . 99--106
             Malcolm A. MacLeod   Improved computation of cubic natural
                                  splines with equi-spaced knots . . . . . 107--109
                  C. M. Lee and   
               F. D. K. Roberts   A Comparison of Algorithms for Rational
                                  $ l_\infty $ Approximation . . . . . . . 111--121
                 W. J. Cody and   
         Anthony J. Strecok and   
          Henry C. Thacher, Jr.   Chebyshev Approximations for the Psi
                                  Function . . . . . . . . . . . . . . . . 123--127
            Bernard J. Laurenzi   Derivatives of Whittaker Functions $
                                  {W}_{k, 1 / 2} $ and $ {M}_{k, 1 / 2} $
                                  with Respect to Order $ {K} $  . . . . . 129--132
                 P. J. Erdelsky   Computing the Brouwer Degree in $ {R}^2
                                  $  . . . . . . . . . . . . . . . . . . . 133--137
       Werner C. Rheinboldt and   
           James S. Vandergraft   A Simple Approach to the
                                  Perron--Frobenius Theory for Positive
                                  Operators on General Partially-Ordered
                                  Finite-Dimensional Linear Spaces . . . . 139--145
                    J. Rissanen   Algorithms for Triangular Decomposition
                                  of Block Hankel and Toeplitz Matrices
                                  with Application to Factoring Positive
                                  Matrix Polynomials . . . . . . . . . . . 147--154
          John E. Blackburn and   
             Henry H. Crapo and   
                 Denis A. Higgs   A Catalogue of Combinatorial Geometries  155--166
                   H. Brown and   
                J. Neubuser and   
                  H. Zassenhaus   On Integral Groups. III: Normalizer  . . 167--182
              Daniel Shanks and   
                Richard Serafin   Quadratic Fields with Four Invariants
                                  Divisible by $3$ . . . . . . . . . . . . 183--187
              H. J. J. te Riele   A Note on the Catalan--Dickson
                                  Conjecture . . . . . . . . . . . . . . . 189--192
                William A. Webb   Numerical Results for Waring's Problem
                                  in $ \mathrm {GF} \lbrack q, x \rbrack $ 193--196
Jean-Marie-François Chamayou   A Probabilistic Approach to a
                                  Differential-Difference Equation Arising
                                  in Analytic Number Theory  . . . . . . . 197--203

Mathematics of Computation
Volume 27, Number 122, April, 1973

                  Ivo Babu\vska   The Finite Element Method with Penalty   221--228
                 Garth A. Baker   Simplified proofs of error estimates for
                                  the least squares method for Dirichlet's
                                  problem  . . . . . . . . . . . . . . . . 229--235
               B. L. Buzbee and   
                 Alfred Carasso   On the numerical computation of
                                  parabolic problems for preceding times   237--266
                     H. Nosrati   A modified Butcher formula for
                                  integration of stiff systems of ordinary
                                  differential equations . . . . . . . . . 267--272
               J. N. Lyness and   
                     K. K. Puri   The Euler--Maclaurin Expansion for the
                                  Simplex  . . . . . . . . . . . . . . . . 273--293
              Frank de Hoog and   
                  Richard Weiss   Asymptotic Expansions for Product
                                  Integration  . . . . . . . . . . . . . . 295--306
             J. H. Hetherington   Note on Error Bounds for Numerical
                                  Integration  . . . . . . . . . . . . . . 307--316
             M. J. Munteanu and   
                L. L. Schumaker   On a method of Carasso and Laurent for
                                  constructing interpolating splines . . . 317--325
                Dietrich Braess   Chebyshev approximation by exponentials
                                  on finite subsets  . . . . . . . . . . . 327--331
                    J. V. Petty   A winding number algorithm for closed
                                  polygonal paths  . . . . . . . . . . . . 333--337
                  Oliver Aberth   Iteration methods for finding all zeros
                                  of a polynomial simultaneously . . . . . 339--344
                     R. L. Page   On computing some extremal periodic
                                  positive-definite functions  . . . . . . 345--353
                    C. C. Paige   An Error Analysis of a Method for
                                  Solving Matrix Equations . . . . . . . . 355--359
                  T. W. Sag and   
                  J. W. Wamsley   On Computing the Minimal Number of
                                  Defining Relations for Finite Groups . . 361--368
                  David W. Boyd   An Algorithm for Generating the Sphere
                                  Coordinates in a Three-Dimensional
                                  Osculatory Packing . . . . . . . . . . . 369--377
                   Robert Spira   Calculation of the Ramanujan $ \tau
                                  $-Dirichlet Series . . . . . . . . . . . 379--385
                  Wells Johnson   On the vanishing of the Iwasawa
                                  invariant $ \mu p $ for $ p < 8000 $  . . 387--396
                   L. J. Lander   Three Thirteens  . . . . . . . . . . . . 397--397
               M. C. Wunderlich   On the Gaussian Primes on the Line $
                                  \mathrm {IM}({X}) = 1 $  . . . . . . . . 399--400
            Henry E. Fettis and   
            James C. Caslin and   
              Kenneth R. Cramer   Complex zeros of the error function and
                                  of the complementary error function  . . 401--407
            Henry E. Fettis and   
            James C. Caslin and   
              Kenneth R. Cramer   Saddle Points of the Complementary Error
                                  Function . . . . . . . . . . . . . . . . 409--412
                     D. E. Amos   Bounds on Iterated Coerror Functions and
                                  Their Ratios . . . . . . . . . . . . . . 413--427
                        R. Wong   An Asymptotic Expansion of $ {W}_{k,
                                  m}(z) $ with Large Variable and
                                  Parameters . . . . . . . . . . . . . . . 429--436
                      Anonymous   Corrigendum  . . . . . . . . . . . . . . 453--453

Mathematics of Computation
Volume 27, Number 123, July, 1973

              Harold N. Shapiro   Integer Vectors with Interprimed
                                  Components . . . . . . . . . . . . . . . 455--462
             John J. Cannon and   
           Lucien A. Dimino and   
               George Havas and   
                 Jane M. Watson   Implementation and Analysis of the
                                  Todd--Coxeter Algorithm  . . . . . . . . 463--490
                Kermit Rose and   
                  Simcha Brudno   More About Four Biquadrates Equal One
                                  Biquadrate . . . . . . . . . . . . . . . 491--494
                  Frank McNolty   Some probability density functions and
                                  their characteristic functions . . . . . 495--504
               S. Abarbanel and   
                    D. Gottlieb   Higher order accuracy finite difference
                                  algorithms for quasi-linear,
                                  conservation law hyperbolic systems  . . 505--523
              J. H. Bramble and   
                   J. E. Osborn   Rate of convergence estimates for
                                  nonselfadjoint eigenvalue approximations 525--549
               Steven A. Pruess   Solving linear boundary value problems
                                  by approximating the coefficients  . . . 551--561
            Joseph A. Guzek and   
                 Gene A. Kemper   A new error analysis for a cubic spline
                                  approximate solution of a class of
                                  Volterra integro-differential equations  563--570
            R. N. Castleton and   
                    L. J. Grimm   A first order method for differential
                                  equations of neutral type  . . . . . . . 571--577
      Åke Björck and   
                  Gene H. Golub   Numerical Methods for Computing Angles
                                  between Linear Subspaces . . . . . . . . 579--594
                 V. Pereyra and   
                     G. Scherer   Efficient computer manipulation of
                                  tensor products with applications to
                                  multidimensional approximation . . . . . 595--605
                   G. A. Watson   The calculation of best linear one-sided
                                  $ L^p $ approximations . . . . . . . . . 607--620
                Richard O. Hays   Multi-Dimensional Extensions of the
                                  Chebyshev Polynomials  . . . . . . . . . 621--624
      Laurance C. Eisenhart and   
           George E. Trapp, Jr.   Computation of Hermite Polynomials . . . 625--632
               David W. Kammler   Chebyshev polynomials corresponding to a
                                  semi-infinite interval and an
                                  exponential weight factor  . . . . . . . 633--637
               A. C. R. Newbery   Error Analysis for Fourier Series
                                  Evaluation . . . . . . . . . . . . . . . 639--644
                  K. Salkauskas   Almost-Interpolatory Chebyshev
                                  Quadrature . . . . . . . . . . . . . . . 645--654
                   F. G. Lether   Cubature Error Bounds for Analytic
                                  Functions  . . . . . . . . . . . . . . . 655--668
                 John W. Wrench   Erratum: Concerning Two Series for the
                                  Gamma Function . . . . . . . . . . . . . 681--682
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 683--683

Mathematics of Computation
Volume 27, Number 124, October, 1973

                    Achi Brandt   Generalized local maximum principles for
                                  finite-difference operators  . . . . . . 685--718
            Theodore E. Dushane   Convergence for a Vortex Method for
                                  Solving Euler's Equation . . . . . . . . 719--728
                     Eli Turkel   Symmetrization of the Fluid Dynamic
                                  Matrices with Applications . . . . . . . 729--736
            William H. Ford and   
                     T. W. Ting   Stability and convergence of difference
                                  approximations to pseudo-parabolic
                                  partial differential equations . . . . . 737--743
                  Stewart Venit   Mesh refinements for parabolic equations
                                  of second order  . . . . . . . . . . . . 745--754
              B. A. Troesch and   
                  H. R. Troesch   Eigenfrequencies of an Elliptic Membrane 755--765
             B. Andreas Troesch   Elliptical Membranes with Smallest
                                  Second Eigenvalue  . . . . . . . . . . . 767--772
                 Niel K. Madsen   A Posteriori Error Bounds for Numerical
                                  Solutions of the Neutron Transport
                                  Equation . . . . . . . . . . . . . . . . 773--780
                  F. M. Carrano   A modified Bairstow method for multiple
                                  zeros of a polynomial  . . . . . . . . . 781--792
                  J. C. Butcher   The order of numerical methods for
                                  ordinary differential equations  . . . . 793--806
                      G. Micula   Approximate Solution of the Differential
                                  Equation $ y'' = f(x, y) $ with Spline
                                  Functions  . . . . . . . . . . . . . . . 807--816
            Edgar A. Cohen, Jr.   Polynomial approximation of a function
                                  and its first derivative in near minimax
                                  norms  . . . . . . . . . . . . . . . . . 817--827
                  W. D. Hoskins   Boundary Expansions for Spline
                                  Interpolation  . . . . . . . . . . . . . 829--830
           George D. Andria and   
            George D. Byrne and   
                  David R. Hill   Integration Formulas and Schemes Based
                                  on $g$-Splines . . . . . . . . . . . . . 831--838
                   H. S. Wrigge   An Elliptic Integral Identity  . . . . . 839--840
              J. S. R. Chisholm   Rational Approximants Defined from
                                  Double Power Series  . . . . . . . . . . 841--848
              James L. Phillips   Error analysis for direct linear
                                  integral equation methods  . . . . . . . 849--859
                 Bernard Danloy   Numerical Construction of Gaussian
                                  Quadrature Formulas for $ \int^1_0 ( -
                                  \Log x) \cdot x^\alpha \cdot f(x) \cdot
                                  \, d x $ and $ \int^\infty_0 {E}_m(x)
                                  \cdot f(x) \cdot \, d x $  . . . . . . . 861--869
                 Peter Linz and   
                    T. E. Kropp   A note on the computation of integrals
                                  involving products of trigonometric and
                                  Bessel functions . . . . . . . . . . . . 871--872
                 Shmuel S. Oren   Self-Scaling Variable Metric Algorithms
                                  without Line Search for Unconstrained
                                  Minimization . . . . . . . . . . . . . . 873--885
                  Jo Ann Howell   An algorithm for the exact reduction of
                                  a matrix to Frobenius form using modular
                                  arithmetic. I  . . . . . . . . . . . . . 887--904
                  Jo Ann Howell   An algorithm for the exact reduction of
                                  a matrix to Frobenius form using modular
                                  arithmetic. II . . . . . . . . . . . . . 905--920
                    L. J. Lardy   An Extrapolated Gauss--Seidel Iteration
                                  for Hessenberg Matrices  . . . . . . . . 921--926
               J. H. Ahrens and   
                      U. Dieter   Extensions of Forsythe's method for
                                  random sampling from the normal
                                  distribution . . . . . . . . . . . . . . 927--937
                 J. E. Dutt and   
                  T. K. Lin and   
                      L. C. Tao   New Approximations to Familiar Functions 939--942
               Bryant Tuckerman   A search procedure and lower bound for
                                  odd perfect numbers  . . . . . . . . . . 943--949
               Peter Hagis, Jr.   A Lower Bound for the Set of Odd Perfect
                                  Numbers  . . . . . . . . . . . . . . . . 951--953
           Peter Hagis, Jr. and   
              Wayne L. McDaniel   On the largest prime divisor of an odd
                                  perfect number . . . . . . . . . . . . . 955--957
               Richard P. Brent   The first occurrence of large gaps
                                  between successive primes  . . . . . . . 959--963
                   P. A. Morris   Computational Problems in $
                                  {S}$-Function Theory . . . . . . . . . . 965--971
              Richard H. Hudson   A Note on Dirichlet Characters . . . . . 973--975
                  Wayne Stahnke   Primitive Binary Polynomials . . . . . . 977--980
           Richard P. Stauduhar   The Determination of Galois Groups . . . 981--996
        Alexandre J. Chorin and   
                  Daniel Shanks   Corrigenda: \em Accurate Evaluation of
                                  Wiener Integrals and \em A Note on the
                                  Catalan--Dickson Conjecture  . . . . . . 1011--1012


Mathematics of Computation
Volume 28, Number 125, January, 1974

               Vidar Thomee and   
                   Lars Wahlbin   Convergence rates of parabolic
                                  difference schemes for non-smooth data   1--13
                  Joseph Oliger   Fourth order difference methods for the
                                  initial boundary-value problem for
                                  hyperbolic equations . . . . . . . . . . 15--25
         Daniel S. Watanabe and   
               J. Richard Flood   An implicit fourth order difference
                                  method for viscous flows . . . . . . . . 27--32
             R. L. Johnston and   
                      S. K. Pal   Numerical solution of Lundquist
                                  equations of magnetohydrodynamics  . . . 33--44
            Masahiro Hinata and   
          Masaaki Shimasaki and   
                 Takeshi Kiyono   Numerical solution of Plateau's problem
                                  by a finite element method . . . . . . . 45--60
                     H. Brunner   Global solution of the generalized Abel
                                  integral equation by implicit
                                  interpolation  . . . . . . . . . . . . . 61--67
               M. Z. Nashed and   
                    Grace Wahba   Convergence rates of approximate least
                                  squares solutions of linear integral and
                                  operator equations of the first kind . . 69--80
                   J. N. Lyness   Computational techniques based on the
                                  Lanczos representation . . . . . . . . . 81--123
            Walter Gautschi and   
              Hiroki Yanagiwara   On Chebyshev-Type Quadratures  . . . . . 125--134
            Robert Piessens and   
                 Maria Branders   A note on the optimal addition of
                                  abscissas to quadrature formulas of
                                  Gauss and Lobatto type . . . . . . . . . 135--139
                 L. F. Shampine   Limiting Precision in Differential
                                  Equation Solvers . . . . . . . . . . . . 141--144
                A. Prothero and   
                    A. Robinson   On the stability and accuracy of
                                  one-step methods for solving stiff
                                  systems of ordinary differential
                                  equations  . . . . . . . . . . . . . . . 145--162
              Jack Williams and   
                  Frank de Hoog   A Class of $A$-Stable Advanced Multistep
                                  Methods  . . . . . . . . . . . . . . . . 163--177
              Geneva G. Belford   Vector-Valued Approximation and its
                                  Application to Fitting Exponential Decay
                                  Curves . . . . . . . . . . . . . . . . . 179--184
                 J. B. Diaz and   
                    T. J. Osler   Differences of Fractional Order  . . . . 185--202
                  Paul T. Boggs   A new algorithm for the Chebyshev
                                  solution of overdetermined linear
                                  systems  . . . . . . . . . . . . . . . . 203--217
                     I. S. Duff   On the number of nonzeros added when
                                  Gaussian elimination is performed on
                                  sparse random matrices . . . . . . . . . 219--230
             James R. Bunch and   
               John E. Hopcroft   Triangular factorization and inversion
                                  by fast matrix multiplication  . . . . . 231--236
            Marvin J. Goldstein   Reduction of the eigenproblem for
                                  Hermitian persymmetric matrices  . . . . 237--238
                     D. E. Amos   Computation of modified Bessel functions
                                  and their ratios . . . . . . . . . . . . 239--251
                 Ingemar Nasell   Inequalities for Modified Bessel
                                  Functions  . . . . . . . . . . . . . . . 253--256
                 S. N. Samaddar   Some Integrals Involving Associated
                                  Legendre Functions . . . . . . . . . . . 257--263
                  M. L. Glasser   Reduction Formulas for Multiple Series   265--266
                    M. D. Hendy   Applications of a Continued Fraction
                                  Algorithm to Some Class Number Problems  267--277
                Carol Neild and   
                  Daniel Shanks   On the $3$-Rank of Quadratic Fields and
                                  the Euler Product  . . . . . . . . . . . 279--291
              Daniel Shanks and   
            John W. Wrench, Jr.   Brun's Constant  . . . . . . . . . . . . 293--299
                      Mohan Lal   Iterates of the Unitary Totient Function 301--302
               Ronald Alter and   
              Thaddeus B. Curtz   A Note on Congruent Numbers  . . . . . . 303--305
               I. O. Angell and   
                   H. J. Godwin   Some Factorizations of $ 10^n \pm 1 $    307--308
              H. J. J. te Riele   Four Large Amicable Pairs  . . . . . . . 309--312
         Robert E. Dressler and   
                  Thomas Parker   $ 12, 758 $  . . . . . . . . . . . . . . 313--314
               Richard P. Brent   The Distribution of Small Gaps Between
                                  Successive Primes  . . . . . . . . . . . 315--324
                      Anonymous   Corrigendum  . . . . . . . . . . . . . . 343--343
            Robert Piessens and   
                 Maria Branders   Supplement to A Note on the Optimal
                                  Addition of Abscissas to Quadrature
                                  Formulas of Gauss and Lobatto Type . . . 344--347

Mathematics of Computation
Volume 28, Number 126, April, 1974

                 D. Fischer and   
                   G. Golub and   
                    O. Hald and   
                   C. Leiva and   
                     O. Widlund   On Fourier--Toeplitz Methods for
                                  Separable Elliptic Problems  . . . . . . 349--368
                H. J. van Linde   High-Order Finite-Difference Methods for
                                  Poisson's Equation . . . . . . . . . . . 369--391
                   Milos Zlamal   Finite Element Methods for Parabolic
                                  Equations  . . . . . . . . . . . . . . . 393--404
                 J. Thomas King   Semidiscrete Least-Squares Methods for
                                  Second Order Parabolic Problems With
                                  Nonhomogeneous Data  . . . . . . . . . . 405--411
                M. Goldberg and   
                   S. Abarbanel   Stable approximations for hyperbolic
                                  systems with moving internal boundary
                                  conditions . . . . . . . . . . . . . . . 413--447
                  Richard Weiss   The application of implicit Runge--Kutta
                                  and collocation methods to
                                  boundary-value problems  . . . . . . . . 449--464
        Arthur David Snider and   
           Gary Charles Fleming   Approximation by Aliasing with
                                  Application to ``Certaine'' Stiff
                                  Differential Equations . . . . . . . . . 465--473
                     H. Brunner   Recursive collocation for the numerical
                                  solution of stiff ordinary differential
                                  equations  . . . . . . . . . . . . . . . 475--481
           I. J. Schoenberg and   
                 S. D. Silliman   On Semicardinal Quadrature Formulae  . . 483--497
             Ravindra Kumar and   
                     M. K. Jain   Quadrature Formulas for Semi-Infinite
                                  Integrals  . . . . . . . . . . . . . . . 499--503
                 P. E. Gill and   
                G. H. Golub and   
                  W. Murray and   
                 M. A. Saunders   Methods for Modifying Matrix
                                  Factorizations . . . . . . . . . . . . . 505--535
                  G. W. Stewart   Modifying Pivot Elements in Gaussian
                                  Elimination  . . . . . . . . . . . . . . 537--542
            W. M. Gentleman and   
                  S. C. Johnson   The evaluation of determinants by
                                  expansion by minors and the general
                                  problem of substitution  . . . . . . . . 543--548
          J. E. Dennis, Jr. and   
                  Jorge J. More   A characterization of superlinear
                                  convergence and its application to
                                  quasi-Newton methods . . . . . . . . . . 549--560
                     M. Lal and   
                     P. Gillard   Evaluation of a constant associated with
                                  a parking problem  . . . . . . . . . . . 561--564
                 C. de Boor and   
                James W. Daniel   Splines with Nonnegative $ {B}$-Spline
                                  Coefficients . . . . . . . . . . . . . . 565--568
               R. E. Huddleston   On the conditional equivalence of two
                                  starting methods for the second
                                  algorithm of Remez . . . . . . . . . . . 569--572
            J. A. Blackburn and   
                    Y. Beaudoin   A note on Chambers' method . . . . . . . 573--574
                W. F. Breig and   
                  A. L. Crosbie   Numerical computation of a generalized
                                  exponential integral function  . . . . . 575--579
                    J. M. Blair   Rational Chebyshev approximations for
                                  the modified Bessel functions $ I_0 (x)
                                  $ and $ I_1 (x) $  . . . . . . . . . . . 581--583
                Henry E. Fettis   A stable algorithm for computing the
                                  inverse error function in the `tail-end'
                                  region . . . . . . . . . . . . . . . . . 585--587
          George E. Collins and   
                 Ellis Horowitz   The Minimum Root Separation of a
                                  Polynomial . . . . . . . . . . . . . . . 589--597
                W. A. Beyer and   
                 M. S. Waterman   Error analysis of a computation of
                                  Euler's constant . . . . . . . . . . . . 599--604
                V. L. Deshpande   Confluent Expansions for Functions of
                                  Two Variables  . . . . . . . . . . . . . 605--611
                  M. L. Glasser   Some definite integrals of the product
                                  of two Bessel functions of the second
                                  kind: (order zero) . . . . . . . . . . . 613--615
             S. J. Benkoski and   
                     P. Erd\Hos   On Weird and Pseudoperfect Numbers . . . 617--623
               D. H. Lehmer and   
                    Emma Lehmer   A New Factorization Technique Using
                                  Quadratic Forms  . . . . . . . . . . . . 625--635
              R. Sherman Lehman   Factoring Large Integers . . . . . . . . 637--646
         E. F. Ecklund, Jr. and   
                 P. Erd\Hos and   
                J. L. Selfridge   A New Function Associated with the Prime
                                  Factors of $ \binom {n}{k} $ . . . . . . 647--649
         Robert E. Dressler and   
           Andrzej Makowski and   
                  Thomas Parker   Sums of distinct primes from congruence
                                  classes modulo 12  . . . . . . . . . . . 651--652
                  Wells Johnson   Irregular Prime Divisors of the
                                  Bernoulli Numbers  . . . . . . . . . . . 653--657
                  David C. Hunt   The character table of an
                                  eight-dimensional orthogonal group . . . 659--660
                  David C. Hunt   The Character Table of Fischer's Simple
                                  Group, $ {M}(23) $ . . . . . . . . . . . 660--661

Mathematics of Computation
Volume 28, Number 127, July, 1974

                  B. N. Parlett   The Rayleigh Quotient Iteration and Some
                                  Generalizations for Nonnormal Matrices   679--693
                      Axel Ruhe   $ \mathrm {SOR}$-Methods for the
                                  Eigenvalue Problem with Large Sparse
                                  Matrices . . . . . . . . . . . . . . . . 695--710
          Geneva G. Belford and   
             E. H. Kaufman, Jr.   An application of approximation theory
                                  to an error estimate in linear algebra   711--712
             Gurudas Chatterjee   Negative Integral Powers of a Bidiagonal
                                  Matrix . . . . . . . . . . . . . . . . . 713--714
            Marvin J. Goldstein   Reduction of the pseudoinverse of a
                                  Hermitian persymmetric matrix  . . . . . 715--717
            R. S. Anderssen and   
                   B. J. Omodei   On the stability of uniformly
                                  asymptotically diagonal systems  . . . . 719--730
           Claude Brezinski and   
                  Alain C. Rieu   The solution of systems of equations
                                  using the epsilon --- algorithm, and an
                                  application to boundary-value problems   731--741
                 James M. Varah   A comparison of some numerical methods
                                  for two-point boundary value problems    743--755
                 Alfred Carasso   A Least Squares Procedure for the Wave
                                  Equation . . . . . . . . . . . . . . . . 757--767
                 Ravindra Kumar   A Class of Quadrature Formulas . . . . . 769--778
                David C. Shreve   $ {L}^p $ Approximation of Fourier
                                  Transforms and Certain Interpolating
                                  Splines  . . . . . . . . . . . . . . . . 779--787
               A. C. R. Newbery   Error Analysis for Polynomial Evaluation 789--793
           William B. Jones and   
                    W. J. Thron   Numerical stability in evaluating
                                  continued fractions  . . . . . . . . . . 795--810
                   J. H. McCabe   A continued fraction expansion, with a
                                  truncation error estimate, for Dawson's
                                  integral . . . . . . . . . . . . . . . . 811--816
                 R. G. Buschman   Finite sum representations for partial
                                  derivatives of special functions with
                                  respect to parameters  . . . . . . . . . 817--824
             Carl H. FitzGerald   Optimal Indexing of the Vertices of
                                  Graphs . . . . . . . . . . . . . . . . . 825--831
                H. H. Baker and   
              A. K. Dewdney and   
                  A. L. Szilard   Generating the Nine-Point Graphs . . . . 833--838
              Richard B. Lakein   Computation of the ideal class group of
                                  certain complex quartic fields . . . . . 839--846
              Wayne L. McDaniel   On Multiple Prime Divisors of Cyclotomic
                                  Polynomials  . . . . . . . . . . . . . . 847--850
            David E. Penney and   
                 Carl Pomerance   A Search for Elliptic Curves With Large
                                  Rank . . . . . . . . . . . . . . . . . . 851--853
                  Sol Weintraub   A Compact Prime Listing  . . . . . . . . 855--857
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 887--887

Mathematics of Computation
Volume 28, Number 128, October, 1974

               Joel N. Franklin   On Tikhonov's Method for Ill-Posed
                                  Problems . . . . . . . . . . . . . . . . 889--907
               C. G. L. Johnson   Estimates near plane portions of the
                                  boundary for discrete elliptic boundary
                                  problems . . . . . . . . . . . . . . . . 909--935
         Joachim A. Nitsche and   
               Alfred H. Schatz   Interior Estimates for Ritz--Galerkin
                                  Methods  . . . . . . . . . . . . . . . . 937--958
               Alfred H. Schatz   An observation concerning Ritz--Galerkin
                                  methods with indefinite bilinear forms   959--962
                Richard S. Falk   Error estimates for the approximation of
                                  a class of variational inequalities  . . 963--971
                 Eckart Gekeler   On the Eigenvectors of a
                                  Finite-Difference Approximation to the
                                  Sturm--Liouville Eigenvalue Problem  . . 973--979
                 M. Lentini and   
                     V. Pereyra   A variable order finite difference
                                  method for nonlinear multipoint boundary
                                  value problems . . . . . . . . . . . . . 981--1003
               Dale W. Alspaugh   The application of invariant imbedding
                                  to the solution of linear two-point
                                  boundary value problems on an infinite
                                  interval . . . . . . . . . . . . . . . . 1005--1015
             W. L. Miranker and   
                 J. P. Morreeuw   Semianalytic numerical studies of
                                  turning points arising in stiff boundary
                                  value problems . . . . . . . . . . . . . 1017--1034
              E. F. Sarkany and   
                     W. Liniger   Exponential fitting of matricial
                                  multistep methods for ordinary
                                  differential equations . . . . . . . . . 1035--1052
           Olavi Nevanlinna and   
                Aarne H. Sipila   A nonexistence theorem for explicit
                                  $A$-stable methods . . . . . . . . . . . 1053--1055
                  A. Nadeau and   
                  J. Guyard and   
                     M. R. Feix   Algebraic-Numerical Method for the
                                  Slightly Perturbed Harmonic Oscillator   1057--1066
                R. Fletcher and   
                M. J. D. Powell   On the Modification of $ {LDL}^T $
                                  Factorizations . . . . . . . . . . . . . 1067--1087
              William F. Trench   Inversion of Toeplitz Band Matrices  . . 1089--1095
               G. D. Taylor and   
                    J. Williams   Existence questions for the problem of
                                  Chebyshev approximation by interpolating
                                  rationals  . . . . . . . . . . . . . . . 1097--1103
              Herbert E. Salzer   Some problems in optimally stable
                                  Lagrangian differentiation . . . . . . . 1105--1115
            Harald Niederreiter   On the distribution of pseudo-random
                                  numbers generated by the linear
                                  congruential method. II  . . . . . . . . 1117--1132
            Kenneth S. Williams   A Quadratic Partition of Primes $ \equiv
                                  1 (\operatorname {mod} 7) $  . . . . . . 1133--1136
                  Daniel Shanks   The Simplest Cubic Fields  . . . . . . . 1137--1152
                    M. Mignotte   An Inequality About Factors of
                                  Polynomials  . . . . . . . . . . . . . . 1153--1157
         Jacob T. B. Beard, Jr.   Computing in $ \mathrm {GF}(q) $ . . . . 1159--1166
     Jacob T. B. Beard, Jr. and   
                  Karen I. West   Some Primitive Polynomials of the Third
                                  Kind . . . . . . . . . . . . . . . . . . 1166--1167
     Jacob T. B. Beard, Jr. and   
                  Karen I. West   Factorization Tables for $ x^n - 1 $
                                  Over $ \mathrm {GF}(q) $ . . . . . . . . 1167--1168
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 1183--1184


Mathematics of Computation
Volume 29, Number 129, January, 1975

                 Tom M. Apostol   The resultant of the cyclotomic
                                  polynomials $ F^m(a x) $ and $ F^n(b x)
                                  $  . . . . . . . . . . . . . . . . . . . 1--6
            Paul T. Bateman and   
            George B. Purdy and   
        Samuel S. Wagstaff, Jr.   Some Numerical Results on Fekete
                                  Polynomials  . . . . . . . . . . . . . . 7--23
             Elwyn R. Berlekamp   The Design of Slowly Shrinking Labelled
                                  Squares  . . . . . . . . . . . . . . . . 25--27
             M. N. Bleicher and   
                     P. Erd\Hos   The Number of Distinct Subsums of $
                                  {\sum }^N_1 l / i $  . . . . . . . . . . 29--42
               Richard P. Brent   Irregularities in the distribution of
                                  primes and twin primes . . . . . . . . . 43--56
                 Stefan A. Burr   On detecting a periodic event by means
                                  of periodic observations. I  . . . . . . 57--65
                 L. Carlitz and   
               Richard Scoville   A Generating Function for Triangular
                                  Partitions . . . . . . . . . . . . . . . 67--77
                 Fred Cohen and   
                J. L. Selfridge   Not every number is the sum or
                                  difference of two prime powers . . . . . 79--81
                 P. Erd\Hos and   
               R. L. Graham and   
                I. Z. Ruzsa and   
                   E. G. Straus   On the Prime Factors of $ \binom {2n}{n}
                                  $  . . . . . . . . . . . . . . . . . . . 83--92
                Walter Gautschi   Nonexistence of Chebyshev-Type
                                  Quadratures on Infinite Intervals  . . . 93--99
             Richard K. Guy and   
                J. L. Selfridge   What Drives an Aliquot Sequence? . . . . 101--107
   John C. Hallyburton, Jr. and   
                 John Brillhart   Two New Factors of Fermat Numbers  . . . 109--112
                  Wells Johnson   Irregular Primes and Cyclotomic
                                  Invariants . . . . . . . . . . . . . . . 113--120
                Donald E. Knuth   Estimating the Efficiency of Backtrack
                                  Programs . . . . . . . . . . . . . . . . 121--136
              Richard B. Lakein   Computation of the ideal class group of
                                  certain complex quartic fields. II . . . 137--144
                      K. Mahler   A necessary and sufficient condition for
                                  transcendency  . . . . . . . . . . . . . 145--153
                J. C. P. Miller   On Factorisation, with a Suggested New
                                  Approach . . . . . . . . . . . . . . . . 155--172
                    W. H. Mills   Continued Fractions and Linear
                                  Recurrences  . . . . . . . . . . . . . . 173--180
            Michael A. Morrison   A Note on Primality Testing Using Lucas
                                  Sequences  . . . . . . . . . . . . . . . 181--182
        Michael A. Morrison and   
                 John Brillhart   A method of factoring and the
                                  factorization of $ F^7 $ . . . . . . . . 183--205
                  Morris Newman   Congruence Subgroups of the Modular
                                  Group  . . . . . . . . . . . . . . . . . 207--213
                   John Riordan   The distribution of crossings of chords
                                  joining pairs of 2n points on a circle   215--222
            Raphael M. Robinson   The Structure of Certain Triple Systems  223--241
          J. Barkley Rosser and   
              Lowell Schoenfeld   Sharper Bounds for the Chebyshev
                                  Functions $ {\Theta }(x) $ and $ {\Psi
                                  }(x) $ . . . . . . . . . . . . . . . . . 243--269
                  Daniel Shanks   Calculation and Applications of Epstein
                                  Zeta Functions . . . . . . . . . . . . . 271--287
                    H. M. Stark   On Complex Quadratic Fields with
                                  Class-Number Two . . . . . . . . . . . . 289--302
                   E. G. Straus   A Combinatorial Theorem in Group Theory  303--309
                     Paul Turan   Power Sum Method and the Approximative
                                  Solution of Algebraic Equations  . . . . 311--318
            Peter J. Weinberger   On Small Zeros of Dirichlet $
                                  {L}$-Functions . . . . . . . . . . . . . 319--328

Mathematics of Computation
Volume 29, Number 130, April, 1975

              Claes Johnson and   
                   Vidar Thomee   Error estimates for a finite element
                                  approximation of a minimal surface . . . 343--349
                   Milos Zlamal   Finite element multistep discretizations
                                  of parabolic boundary value problems . . 350--359
           Jim Douglas, Jr. and   
                    Todd Dupont   The effect of interpolating the
                                  coefficients in nonlinear parabolic
                                  Galerkin procedures  . . . . . . . . . . 360--389
           Ivo G. Rosenberg and   
                  Frank Stenger   A lower Bound on the Angles of Triangles
                                  Constructed by Bisecting the Longest
                                  Side . . . . . . . . . . . . . . . . . . 390--395
              Bertil Gustafsson   The convergence rate for difference
                                  approximations to mixed initial boundary
                                  value problems . . . . . . . . . . . . . 396--406
              G. R. McGuire and   
                  J. Ll. Morris   Explicit-Implicit Schemes for the
                                  Numerical Solution of Nonlinear
                                  Hyperbolic Systems . . . . . . . . . . . 407--424
                  Avishai Livne   Seven-Point Difference Schemes for
                                  Hyperbolic Equations . . . . . . . . . . 425--433
                   B. M. Marder   GAP --- a PIC-type fluid code  . . . . . 434--446
                 Alfred Carasso   Coupled sound and heat flow and the
                                  method of least squares  . . . . . . . . 447--463
                   H. B. Keller   Approximation methods for nonlinear
                                  problems with application to two point
                                  boundary value problems  . . . . . . . . 464--474
           Jim Douglas, Jr. and   
                Todd Dupont and   
                   Lars Wahlbin   Optimal $ {L}_\infty $ Error Estimates
                                  for Galerkin Approximations to Solutions
                                  of Two-Point Boundary Value Problems . . 475--483
              Jorg Hertling and   
            Alexandru I. Schiop   On the Stability of the Ritz--Galerkin
                                  Method for Hammerstein Equations . . . . 484--488
                G. K. Gupta and   
                  C. S. Wallace   Some new multistep methods for solving
                                  ordinary differential equations  . . . . 489--500
              Byron L. Ehle and   
                   Zdenek Picel   Two-Parameter, Arbitrary Order,
                                  Exponential Approximations for Stiff
                                  Equations  . . . . . . . . . . . . . . . 501--511
              John K. Hayes and   
           David K. Kahaner and   
             Richard G. Kellner   A numerical comparison of integral
                                  equations of the first and second kind
                                  for conformal mapping  . . . . . . . . . 512--521
                 James T. Lewis   Restricted range approximation and its
                                  application to digital filter design . . 522--539
                 Jerry M. Wolfe   Discrete Rational $ {L}_p $
                                  Approximation  . . . . . . . . . . . . . 540--548
              Charles B. Dunham   Chebyshev Approximation by Interpolating
                                  Rationals on $ \lbrack \alpha, \infty) $ 549--551
              Charles B. Dunham   A difficulty in Williams' algorithm for
                                  interpolating rationals  . . . . . . . . 552--553
              Kenneth O. Leland   An algorithm for winding numbers for
                                  closed polygonal paths . . . . . . . . . 554--558
                   D. B. Hunter   Some Properties of Orthogonal
                                  Polynomials  . . . . . . . . . . . . . . 559--565
                A. J. Zajta and   
                    W. Pandikow   Conversion of Continued Fractions into
                                  Power Series . . . . . . . . . . . . . . 566--572
                        R. Wong   On Laplace Transforms Near the Origin    573--576
                       Jet Wimp   Differential-Difference Properties of
                                  Hypergeometric Polynomials . . . . . . . 577--581
                B. Fornberg and   
                   K. S. Kolbig   Complex zeros of the Jonquiere or
                                  polylogarithm function . . . . . . . . . 582--599
                  G. W. Stewart   Gershgorin theory for the generalized
                                  eigenvalue problem $ A x = \lambda B x $ 600--606
                   Ned Anderson   A generalization of the method of
                                  averages for overdetermined linear
                                  systems  . . . . . . . . . . . . . . . . 607--614
             Inderjit Singh and   
               George Poole and   
                Thomas Boullion   A class of Hessenberg matrices with
                                  known pseudoinverse and Drazin inverse   615--619
             John Brillhart and   
               D. H. Lehmer and   
                J. L. Selfridge   New primality criteria and
                                  factorizations of $ 2^m \pm 1 $  . . . . 620--647
                          J. S.   Book Review: R. W. Hamming,
                                  \booktitleNumerical Methods for
                                  Scientists and Engineers, 2nd ed.,
                                  McGraw-Hill Book Co., New York, 1973, ix
                                  + 721 pp., 24 cm.  . . . . . . . . . . . 648--649
                      Anonymous   Reviews and Descriptions of Tables and
                                  Books  . . . . . . . . . . . . . . . . . 648--669
                      Anonymous   Table Errata . . . . . . . . . . . . . . 670--670
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 673--674
                      Anonymous   An Addendum to 12,758  . . . . . . . . . 675--675

Mathematics of Computation
Volume 29, Number 131, July, 1975

           James H. Bramble and   
         Joachim A. Nitsche and   
               Alfred H. Schatz   Maximum-Norm Interior Estimates for
                                  Ritz--Galerkin Methods . . . . . . . . . 677--688
           Jim Douglas, Jr. and   
                    Todd Dupont   A Galerkin method for a nonlinear
                                  Dirichlet problem  . . . . . . . . . . . 689--696
              Gunilla Skollermo   A Fourier method for the numerical
                                  solution of Poisson's equation . . . . . 697--711
                 John E. Osborn   Spectral Approximation for Compact
                                  Operators  . . . . . . . . . . . . . . . 712--725
             R. E. Barnhill and   
                  J. A. Gregory   Polynomial interpolation to boundary
                                  data on triangles  . . . . . . . . . . . 726--735
                John Morgan and   
                  Ridgway Scott   A Nodal Basis for $ {C}^1 $ Piecewise
                                  Polynomials of Degree $ n \geq 5 $ . . . 736--740
                  David R. Hill   On comparing Adams and natural spline
                                  multistep formulas . . . . . . . . . . . 741--745
                  Richard Weiss   Bifurcation in difference approximations
                                  to two-point boundary value problems . . 746--760
              J. H. Ahlberg and   
                         T. Ito   A collocation method for two-point
                                  boundary value problems  . . . . . . . . 761--776
               Steven M. Serbin   Computational investigations of
                                  least-squares type methods for the
                                  approximate solution of boundary value
                                  problems . . . . . . . . . . . . . . . . 777--793
                     E. Rakotch   Numerical solution for eigenvalues and
                                  eigenfunctions of a Hermitian kernel and
                                  an error estimate  . . . . . . . . . . . 794--805
                  Seymour Haber   Adaptive Integration and Improper
                                  Integrals  . . . . . . . . . . . . . . . 806--809
            Robert Piessens and   
                  Ann Haegemans   Cubature formulas of degree nine for
                                  symmetric planar regions . . . . . . . . 810--815
             Kenneth W. Brodlie   On Bairstow's method for the solution of
                                  polynomial equations . . . . . . . . . . 816--826
                      U. Dieter   How to Calculate Shortest Vectors in a
                                  Lattice  . . . . . . . . . . . . . . . . 827--833
                     S. H. Tung   On lower and upper bounds of the
                                  difference between the arithmetic and
                                  the geometric mean . . . . . . . . . . . 834--836
                    Luc Wuytack   On the Osculatory Rational Interpolation
                                  Problem  . . . . . . . . . . . . . . . . 837--843
            Nabih N. Abdelmalek   An efficient method for the discrete
                                  linear $ {L^1} $ approximation problem   844--850
Helaman Rolfe Pratt Ferguson and   
            Dale E. Nielsen and   
                     Grant Cook   A partition formula for the integer
                                  coefficients of the theta function nome  851--855
                 David G. Carta   Low-Order Approximations for the Normal
                                  Probability Integral and the Error
                                  Function . . . . . . . . . . . . . . . . 856--862
              V. B. Headley and   
                  V. K. Barwell   On the distribution of the zeros of
                                  generalized Airy functions . . . . . . . 863--877
                 Yasuhiko Ikebe   The Zeros of Regular Coulomb Wave
                                  Functions and of Their Derivatives . . . 878--887
                Thomas J. Osler   An Identity for Simplifying Certain
                                  Generalized Hypergeometric Functions . . 888--893
            Jerry L. Fields and   
            Mourad E. H. Ismail   Polynomial Expansions  . . . . . . . . . 894--902
                George D. Poole   Generalized $ {M}$-Matrices and
                                  Applications . . . . . . . . . . . . . . 903--910
                 M. D. Atkinson   An Algorithm for Finding the Blocks of a
                                  Permutation Group  . . . . . . . . . . . 911--913
                 Carl Pomerance   The second largest prime factor of an
                                  odd perfect number . . . . . . . . . . . 914--921
           Peter Hagis, Jr. and   
              Wayne L. McDaniel   On the largest prime divisor of an odd
                                  perfect number. II . . . . . . . . . . . 922--924
                 Andrew Bremner   An equation of Mordell . . . . . . . . . 925--928
                  M. Rosenblatt   Multiply Schemes and Shuffling . . . . . 929--934
               Paul S. Wang and   
        Linda Preiss Rothschild   Factoring Multivariate Polynomials Over
                                  the Integers . . . . . . . . . . . . . . 935--950
                  I. Borosh and   
               C. J. Moreno and   
                       H. Porta   Elliptic Curves Over Finite Fields. II   951--964
            David E. Penney and   
                 Carl Pomerance   Three Elliptic Curves with Rank at Least
                                  Seven  . . . . . . . . . . . . . . . . . 965--967

Mathematics of Computation
Volume 29, Number 132, October, 1975

                 G. W. Hedstrom   Models of difference schemes for $ u^t +
                                  u^x = 0 $ by partial differential
                                  equations  . . . . . . . . . . . . . . . 969--977
                   Lars Wahlbin   A modified Galerkin procedure with
                                  Hermite cubics for hyperbolic problems   978--984
              Melvyn Ciment and   
           Stephen H. Leventhal   Higher order compact implicit schemes
                                  for the wave equation  . . . . . . . . . 985--994
                 Garth A. Baker   A finite element method for first order
                                  hyperbolic equations . . . . . . . . . . 995--1006
              R. D. Russell and   
                    J. M. Varah   A comparison of global methods for
                                  linear two-point boundary value problems 1007--1019
           William W. Hager and   
                 Gilbert Strang   Free Boundaries and Finite Elements in
                                  One Dimension  . . . . . . . . . . . . . 1020--1031
                      J. Oliver   A Curiosity of Low-Order Explicit
                                  Runge--Kutta Methods . . . . . . . . . . 1032--1036
              R. F. Warming and   
            Richard M. Beam and   
                    B. J. Hyett   Diagonalization and simultaneous
                                  symmetrization of the gas-dynamic
                                  matrices . . . . . . . . . . . . . . . . 1037--1045
               A. C. R. Newbery   Polynomial Evaluation Schemes  . . . . . 1046--1050
             Philip E. Gill and   
             Walter. Murray and   
            Michael A. Saunders   Methods for Computing and Modifying the
                                  $ L D V $ Factors of a Matrix  . . . . . 1051--1077
              Charles B. Dunham   Convergence of the Fraser--Hart
                                  Algorithm for Rational Chebyshev
                                  Approximation  . . . . . . . . . . . . . 1078--1082
             Yudell L. Luke and   
             Bing Yuan Ting and   
                Marilyn J. Kemp   On Generalized Gaussian Quadrature . . . 1083--1093
                  Ralph Shapiro   Linear Filtering . . . . . . . . . . . . 1094--1097
              Dalton R. Hunkins   Cubatures of precision 2k and 2k+1 for
                                  hyperrectangles  . . . . . . . . . . . . 1098--1104
                 C. W. Groetsch   On existence criteria and approximation
                                  procedures for integral equations of the
                                  first kind . . . . . . . . . . . . . . . 1105--1108
                    N. M. Temme   Uniform asymptotic expansions of the
                                  incomplete gamma functions and the
                                  incomplete beta function . . . . . . . . 1109--1114
           H. M. Srivastava and   
                    Rekha Panda   Some analytic or asymptotic confluent
                                  expansions for functions of several
                                  variables  . . . . . . . . . . . . . . . 1115--1128
                    M. D. Hendy   The distribution of ideal class numbers
                                  of real quadratic fields . . . . . . . . 1129--1134
               Frank Gerth, III   A Note on $l$-Class Groups of Number
                                  Fields . . . . . . . . . . . . . . . . . 1135--1137
        Samuel S. Wagstaff, Jr.   Zeros of $p$-Adic $ {L}$-Functions . . . 1138--1143
                  Torleiv Klove   Sums of Distinct Elements from a Fixed
                                  Set  . . . . . . . . . . . . . . . . . . 1144--1149
                       N. Esper   Tables of reductions of symmetrized
                                  inner products (`inner plethysms') of
                                  ordinary irreducible representations of
                                  symmetric groups . . . . . . . . . . . . 1150--1151
                      Anonymous   Reviews and Descriptions of Tables and
                                  Books  . . . . . . . . . . . . . . . . . 1152--1165
                          E. I.   Book Review: Alston S. Householder.
                                  \booktitlePrinciples of Numerical
                                  Analysis, Dover, New York, 1974, x + 274
                                  pp., 21 cm. Price \$4.00 (paperbound)}   1152--1165
                      Anonymous   Table Errata . . . . . . . . . . . . . . 1166
               Richard P. Brent   Table errata: \booktitleAlgorithms for
                                  minimization without derivatives
                                  (Prentice-Hall, Englewood Cliffs, N.J.,
                                  1973)  . . . . . . . . . . . . . . . . . 1166
                  Daniel Shanks   Corrigenda: \booktitleCalculation and
                                  applications of Epstein zeta functions
                                  (Math. Comp. \bf 29 (1975), 271--287)    1167
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 1167--1167


Mathematics of Computation
Volume 30, Number 133, January, 1976

                   J. N. Lyness   An error functional expansion for
                                  $N$-dimensional quadrature with an
                                  integrand function singular at a point   1--23
                David L. Barrow   Existence of Gauss interpolation
                                  formulas for the one-dimensional heat
                                  equation . . . . . . . . . . . . . . . . 24--34
                S. Ellacott and   
                  Jack Williams   Linear Chebyshev approximation in the
                                  complex plane using Lawson's algorithm   35--44
              Charles B. Dunham   Rational approximation with a vanishing
                                  weight function and with a fixed value
                                  at zero  . . . . . . . . . . . . . . . . 45--47
              Don R. Wilhelmsen   A nearest point algorithm for convex
                                  polyhedral cones and applications to
                                  positive linear approximation  . . . . . 48--57
                   D. H. Thomas   Pseudospline Interpolation for Space
                                  Curves . . . . . . . . . . . . . . . . . 58--67
                     V. Girault   Nonelliptic approximation of a class of
                                  partial differential equations with
                                  Neumann boundary condition . . . . . . . 68--91
            Robert S. Stepleman   Tridiagonal fourth order approximations
                                  to general two-point nonlinear boundary
                                  value problems with mixed boundary
                                  conditions . . . . . . . . . . . . . . . 92--103
           Werner C. Rheinboldt   On Measures of Ill-Conditioning for
                                  Nonlinear Equations  . . . . . . . . . . 104--111
                     L. B. Rall   A quadratically convergent iteration
                                  method for computing zeros of operators
                                  satisfying autonomous differential
                                  equations  . . . . . . . . . . . . . . . 112--114
                 Larry Nazareth   Generation of conjugate directions for
                                  unconstrained minimization without
                                  derivatives  . . . . . . . . . . . . . . 115--131
                 Robert C. Ward   The $ \mathrm {QR} $ Algorithm and
                                  Hyman's Method on Vector Computers . . . 132--142
                   Alois Schett   Properties of the Taylor series
                                  expansion coefficients of the Jacobian
                                  elliptic functions . . . . . . . . . . . 143--147
                     C. H. Yang   Maximal Binary Matrices and Sum of Two
                                  Squares  . . . . . . . . . . . . . . . . 148--153
                 Michael Anshel   Decision Problems for $ {HNN} $ Groups
                                  and Vector Addition Systems  . . . . . . 154--156
             H. C. Williams and   
                     J. S. Judd   Determination of the primality of $N$ by
                                  using factors of $ N^2 \pm 1$  . . . . . 157--172
                  Daniel Shanks   Class groups of the quadratic fields
                                  found by F. Diaz y Diaz  . . . . . . . . 173--178
     Jacob T. B. Beard, Jr. and   
                  Karen I. West   Factorization Tables for Trinomials Over
                                  $ \mathrm {GF}(q) $  . . . . . . . . . . 179--183
                   I. O. Angell   A Table of Totally Real Cubic Fields . . 184--187
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 198--198

Mathematics of Computation
Volume 30, Number 134, April, 1976

              Paul T. Boggs and   
              J. E. Dennis, Jr.   A stability analysis for perturbed
                                  nonlinear iterative methods  . . . . . . 199--215
            Arthur David Snider   Error Analysis for a Stiff System
                                  Procedure  . . . . . . . . . . . . . . . 216--219
            Arthur David Snider   Numerical applications of reflection to
                                  partial differential equations . . . . . 220--240
                Richard S. Falk   An analysis of the finite element method
                                  using Lagrange multipliers for the
                                  stationary Stokes equations  . . . . . . 241--249
                    J. J. Blair   Higher order approximations to the
                                  boundary conditions for the finite
                                  element method . . . . . . . . . . . . . 250--262
                      J. Kadlec   On the evaluation of some integrals
                                  occurring in scattering problems . . . . 263--277
                  G. W. Reddien   Finite-Difference Approximations to
                                  Singular Sturm--Liouville Eigenvalue
                                  Problems . . . . . . . . . . . . . . . . 278--282
         Lawrence F. Wiederholt   Stability of multistep methods for delay
                                  differential equations . . . . . . . . . 283--290
                   A. H. Stroud   Some fourth degree integration formulas
                                  for simplexes  . . . . . . . . . . . . . 291--294
              Herbert E. Salzer   Converting interpolation series into
                                  Chebyshev series by recurrence formulas  295--302
                 R. G. Buschman   Inequalities for Hypergeometric
                                  Functions  . . . . . . . . . . . . . . . 303--305
                Michael Willett   Characteristic $m$-Sequences . . . . . . 306--311
           Pierre Barrucand and   
             H. C. Williams and   
                      L. Baniuk   A computational technique for
                                  determining the class number of a pure
                                  cubic field  . . . . . . . . . . . . . . 312--323
                   Paul S. Wang   Factoring multivariate polynomials over
                                  algebraic number fields  . . . . . . . . 324--336
              Lowell Schoenfeld   Sharper bounds for the Chebyshev
                                  functions $ \theta (x) $ and $ \psi (x)
                                  $. II  . . . . . . . . . . . . . . . . . 337--360
            Gerhard Rosenberger   The Uniqueness of the Markoff Numbers    361--365
                      Anonymous   Reviews and Descriptions of Tables and
                                  Books  . . . . . . . . . . . . . . . . . 371--380
        Harald Niederreiter and   
              Charles F. Osgood   A uniform distribution question related
                                  to numerical analysis  . . . . . . . . . 366--370
                  David R. Hill   Table errata: ``On comparing Adams and
                                  natural spline multistep formulas''
                                  (Math. Comp. \bf 29 (1975), 741--745)    381--381
                      D. Shanks   Table errata: ``Regular continued
                                  fractions for $ \pi $ and $ \gamma $'',
                                  (Math. Comp. 25 (1971), 403); ``Rational
                                  approximations to $ \pi $'' (ibid. 25
                                  (1971), 387--392) by K. Y. Choong, D. E.
                                  Daykin and C. R. Rathbone  . . . . . . . 381--381
                      Anonymous   Table Errata . . . . . . . . . . . . . . 381--381

Mathematics of Computation
Volume 30, Number 135, July, 1976

             W. L. Miranker and   
                       G. Wahba   An averaging method for the stiff highly
                                  oscillatory problem  . . . . . . . . . . 383--399
                     M. S. Mock   Projection methods with different trial
                                  and test spaces  . . . . . . . . . . . . 400--416
                    G. K. Gupta   Some new high-order multistep formulae
                                  for solving stiff equations  . . . . . . 417--432
  W\lodzimierz Proskurowski and   
                   Olof Widlund   On the numerical solution of Helmholtz's
                                  equation by the capacitance matrix
                                  method . . . . . . . . . . . . . . . . . 433--468
                 J. K. Shaw and   
              L. W. Johnson and   
                    R. D. Riess   Accelerating Convergence of
                                  Eigenfunction Expansions . . . . . . . . 469--477
            Michael J. Best and   
                   Klaus Ritter   A Class of Accelerated Conjugate
                                  Direction Methods for Linearly
                                  Constrained Minimization Problems  . . . 478--504
                   R. F. Streit   The $ T^{+m} $ transformation  . . . . . 503--511
               Roland F. Streit   The $ {T}_{+m} $ Transformation  . . . . 505--511
                  Paul T. Boggs   The convergence of the Ben-Israel
                                  iteration for nonlinear least squares
                                  problems . . . . . . . . . . . . . . . . 512--522
                 J. J. More and   
             J. A. Trangenstein   On the global convergence of Broyden's
                                  method . . . . . . . . . . . . . . . . . 523--540
                Henry E. Fettis   Complex Roots of $ \sin z = a z, \cos z
                                  = a z $, and $ \cosh z = a z $ . . . . . 541--545
                  S. K. Zaremba   On Cartesian Products of Good Lattices   546--552
                    M. E. Cohen   Extensions of the Mehler--Weisner and
                                  Other Results for the Hermite Function   553--564
                 Eugene Salamin   Computation of $ \pi $ Using
                                  Arithmetic-Geometric Mean  . . . . . . . 565--570
            Harald Niederreiter   On the distribution of pseudo-random
                                  numbers generated by the linear
                                  congruential method. III . . . . . . . . 571--597
                Ray Steiner and   
                  Ronald Rudman   On an algorithm of Billevich for finding
                                  units in algebraic number fields . . . . 598--609
                Duncan A. Buell   Class Groups of Quadratic Fields . . . . 610--623
                     John McKay   The largest degrees of irreducible
                                  characters of the symmetric group  . . . 624--631
                      J. Alonso   Groups of Square-Free Order, An
                                  Algorithm  . . . . . . . . . . . . . . . 632--637
                    Josef Blass   A Note on Diophantine Equation $ {Y}^2 +
                                  k = {X}^5 $  . . . . . . . . . . . . . . 638--640
                     P. Erd\Hos   On Asymptotic Properties of Aliquot
                                  Sequences  . . . . . . . . . . . . . . . 641--645
                  Simcha Brudno   Triples of Sixth Powers with Equal Sums  646--648
              Richard H. Hudson   Generalizations of a classical theorem
                                  in number theory . . . . . . . . . . . . 649--656
              Solomon W. Golomb   Properties of the Sequence $ 3 \cdot 2^n
                                  + 1 $  . . . . . . . . . . . . . . . . . 657--663
                      Anonymous   Corrigendum  . . . . . . . . . . . . . . 679--679

Mathematics of Computation
Volume 30, Number 136, October, 1976

                  Ridgway Scott   Optimal $ {L}^\infty $ Estimates for the
                                  Finite Element Method on Irregular
                                  Meshes . . . . . . . . . . . . . . . . . 681--697
                Richard S. Falk   A Finite Element Method for the
                                  Stationary Stokes Equations Using Trial
                                  Functions which do not have to Satisfy $
                                  \operatorname {div} \upsilon = 0 $ . . . 698--702
             David Gottlieb and   
                     Eli Turkel   Dissipative Two-Four Methods for
                                  Time-Dependent Problems  . . . . . . . . 703--723
                  Joseph Oliger   Hybrid difference methods for the
                                  initial boundary-value problem for
                                  hyperbolic equations . . . . . . . . . . 724--738
                   Rolf Jeltsch   A Necessary Condition for $A$-Stability
                                  of Multistep Multiderivative Methods . . 739--746
                 John M. Bownds   On solving weakly singular Volterra
                                  equations of the first kind with
                                  Galerkin approximations  . . . . . . . . 747--757
                   Ian H. Sloan   Improvement by iteration for compact
                                  operator equations . . . . . . . . . . . 758--764
                   Carl de Boor   A bound on the $ L^\infty $-norm of $
                                  L^2 $ --- approximation by splines in
                                  terms of a global mesh ratio . . . . . . 765--771
               J. W. Daniel and   
                W. B. Gragg and   
                 L. Kaufman and   
                  G. W. Stewart   Reorthogonalization and Stable
                                  Algorithms for Updating the
                                  Gram--Schmidt QR Factorization . . . . . 772--795
                Donald Goldfarb   Factorized variable metric methods for
                                  unconstrained optimization . . . . . . . 796--811
              Giovanni Monegato   A Note on Extended Gaussian Quadrature
                                  Rules  . . . . . . . . . . . . . . . . . 812--817
                Ulrich Eckhardt   A Rational Approximation to Weierstrass'
                                  $ \wp $-Function . . . . . . . . . . . . 818--826
                J. M. Blair and   
              C. A. Edwards and   
                  J. H. Johnson   Rational Chebyshev approximations for
                                  the inverse of the error function  . . . 827--830
                Masashi Okamoto   Asymptotic Normality in Monte Carlo
                                  Integration  . . . . . . . . . . . . . . 831--837
                  Morris Newman   Asymptotic formulas related to free
                                  products of cyclic groups  . . . . . . . 838--846
            Kenneth S. Williams   Explicit Criteria for Quintic
                                  Residuacity  . . . . . . . . . . . . . . 847--853
                    Harvey Cohn   Dyadotropic Polynomials  . . . . . . . . 854--862
                   Robert Spira   Zeros of Hurwitz Zeta Functions  . . . . 863--866
             H. C. Williams and   
                     J. S. Judd   Some Algorithms for Prime Testing Using
                                  Generalized Lehmer Functions . . . . . . 867--886
             H. C. Williams and   
                      J. Broere   A computational technique for evaluating
                                  L(1, chi ) and the class number of a
                                  real quadratic field . . . . . . . . . . 887--893
                      Anonymous   Corrigenda . . . . . . . . . . . . . . . 900--900


Mathematics of Computation
Volume 31, Number 137, January, 1977

             Victor Pereyra and   
   Wlodzimierz Proskurowski and   
                   Olof Widlund   High order fast Laplace solvers for the
                                  Dirichlet problem on general regions . . 1--16
            Charles K. Chui and   
            Philip W. Smith and   
                 Joseph D. Ward   On the Smoothness of Best $ {L}_2 $
                                  Approximants from Nonlinear Spline
                                  Manifolds  . . . . . . . . . . . . . . . 17--23
                  J. P. Hennart   One-Step Piecewise Polynomial Multiple
                                  Collocation Methods for Initial Value
                                  Problems . . . . . . . . . . . . . . . . 24--36
                    J. M. Varah   On the condition number of local bases
                                  for piecewise cubic polynomials  . . . . 37--44
                 Garth A. Baker   Finite element methods for elliptic
                                  equations using nonconforming elements   45--59
                Peter H. Sammon   A Discrete Least Squares Method  . . . . 60--65
         Joseph E. Flaherty and   
            R. E. O'Malley, Jr.   The numerical solution of boundary value
                                  problems for stiff differential
                                  equations  . . . . . . . . . . . . . . . 66--93
              J. H. Bramble and   
                   A. H. Schatz   Higher order local accuracy by averaging
                                  in the finite element method . . . . . . 94--111
                  Arieh Iserles   Functional Fitting --- New Family of
                                  Schemes for Integration of Stiff O.D.E.  112--123
                   Rolf Jeltsch   Multistep methods using higher
                                  derivatives and damping at infinity  . . 124--138
               Jack W. Mosevich   Identifying differential equations by
                                  Galerkin's method  . . . . . . . . . . . 139--147
            J. A. Meijerink and   
            H. A. van der Vorst   An Iterative Solution Method for Linear
                                  Systems of Which the Coefficient Matrix
                                  is a Symmetric $M$-Matrix  . . . . . . . 148--162
             James R. Bunch and   
                  Linda Kaufman   Some Stable Methods for Calculating
                                  Inertia and Solving Symmetric Linear
                                  Systems  . . . . . . . . . . . . . . . . 163--179
             Alan Feldstein and   
                    J. F. Traub   Asymptotic behavior of vector
                                  recurrences with applications  . . . . . 180--192
                     J. A. Ford   A Generalization of the Jenkins--Traub
                                  Method . . . . . . . . . . . . . . . . . 193--203
                    George Miel   On a Posteriori Error Estimates  . . . . 204--213
             Stephen E. Derenzo   Approximations for Hand Calculators
                                  Using Small Integer Coefficients . . . . 214--222
                   F. G. Lether   Subtracting out complex singularities in
                                  numerical integration  . . . . . . . . . 223--229
              Herbert E. Salzer   Osculatory and Hyperosculatory Cubature
                                  Formulas . . . . . . . . . . . . . . . . 230--234
               Robert T. Moenck   On the efficiency of algorithms for
                                  polynomial factoring . . . . . . . . . . 235--250
                 D. P. McCarthy   The optimal algorithm to evaluate $ x^n
                                  $ using elementary multiplication
                                  methods  . . . . . . . . . . . . . . . . 251--256
                R. P. Boas, Jr.   Growth of Partial Sums of Divergent
                                  Series . . . . . . . . . . . . . . . . . 257--264
               I. O. Angell and   
                   H. J. Godwin   On Truncatable Primes  . . . . . . . . . 265--267
                       T. Ojala   Euclid's algorithm in the cyclotomic
                                  field $ Q(\zeta^{16}) $  . . . . . . . . 268--273
                  Masao Kishore   Odd perfect numbers not divisible by 3
                                  are divisible by at least ten distinct
                                  primes . . . . . . . . . . . . . . . . . 274--279
                   T. W. Cusick   The Szekeres Multidimensional Continued
                                  Fraction . . . . . . . . . . . . . . . . 280--317
                    F. L. Bauer   Angstl's mechanism for checking
                                  well-formedness of parenthesis-free
                                  formulae . . . . . . . . . . . . . . . . 318--320
               Henry C. Thacher   Book Review: \booktitleApplied and
                                  Computational Complex Analysis, by Peter
                                  Henrici  . . . . . . . . . . . . . . . . 325--326
                      Anonymous   Corrigendum  . . . . . . . . . . . . . . 330--330
                      Anonymous   Acknowledgement  . . . . . . . . . . . . 331--331

Mathematics of Computation
Volume 31, Number 138, April, 1977

                    Achi Brandt   Multi-Level Adaptive Solutions to
                                  Boundary-Value Problems  . . . . . . . . 333--390
              P. A. Raviart and   
                   J. M. Thomas   Primal hybrid finite element methods for
                                  2nd order elliptic equations . . . . . . 391--413
               A. H. Schatz and   
                  L. B. Wahlbin   Interior maximum norm estimates for
                                  finite element methods . . . . . . . . . 414--442
                  E. N. Houstis   Application of method of collocation on
                                  lines for solving nonlinear hyperbolic
                                  problems . . . . . . . . . . . . . . . . 443--456
                 Frank Natterer   Uniform convergence of Galerkin's method
                                  for splines on highly nonuniform meshes  457--468
                 Moshe Goldberg   On a boundary extrapolation theorem by
                                  Kreiss . . . . . . . . . . . . . . . . . 469--477
            Martin H. Gutknecht   Existence of a solution to the discrete
                                  Theodorsen equation for conformal
                                  mappings . . . . . . . . . . . . . . . . 478--480
                    A. J. Jerri   Computations of the Hill Functions of
                                  Higher Order . . . . . . . . . . . . . . 481--484
               Jackson N. Henry   Comparison of algorithms for
                                  multivariate rational approximation  . . 485--494
                 David A. Field   Estimates of the speed of convergence of
                                  continued fraction expansions of
                                  functions  . . . . . . . . . . . . . . . 495--502
                    D. Dijkstra   A continued fraction expansion for a
                                  generalization of Dawson's integral  . . 503--510
                    M. E. Cohen   Some classes of generating functions for
                                  the Laguerre and Hermite polynomials . . 511--518
                  Wells Johnson   On congruences related to the first case
                                  of Fermat's last theorem . . . . . . . . 519--526
             John R. Durbin and   
              K. Bolling Farmer   On projective representations of finite
                                  wreath products  . . . . . . . . . . . . 527--535
            Wilhelm Plesken and   
                  Michael Pohst   On Maximal Finite Irreducible Subgroups
                                  of $ {GL}(n, \mathbf {Z}) $: I. The Five
                                  and Seven Dimensional Cases  . . . . . . 536--551
            Wilhelm Plesken and   
                  Michael Pohst   On Maximal Finite Irreducible Subgroups
                                  of $ {GL}(n, \mathbf {Z}) $: II. The Six
                                  Dimensional Case . . . . . . . . . . . . 552--573
                     Craig Cato   The orders of the known simple groups as
                                  far as one trillion  . . . . . . . . . . 574--577
                 H. C. Williams   Certain Pure Cubic Fields With
                                  Class-Number One . . . . . . . . . . . . 578--580
                   F. T. Howard   Numbers Generated by the Reciprocal of $
                                  e^x - x - 1 $  . . . . . . . . . . . . . 581--598
                   D. H. Lehmer   Prime Factors of Cyclotomic Class
                                  Numbers  . . . . . . . . . . . . . . . . 599--607
           Peter Hagis, Jr. and   
                    Graham Lord   Quasi-Amicable Numbers . . . . . . . . . 608--611
                      Anonymous   Corrigendum  . . . . . . . . . . . . . . 617--617

Mathematics of Computation
Volume 31, Number 139, July, 1977

             Alan E. Berger and   
                Richard S. Falk   An error estimate for the truncation
                                  method for the solution of parabolic
                                  obstacle variational inequalities  . . . 619--628
        Björn Engquist and   
                   Andrew Majda   Absorbing boundary conditions for the
                                  numerical simulation of waves  . . . . . 629--651
                   Vidar Thomee   High order local approximations to
                                  derivatives in the finite element method 652--660
              Max D. Gunzburger   On the stability of Galerkin methods for
                                  initial-boundary value problems for
                                  hyperbolic systems . . . . . . . . . . . 661--675
           Frank R. de Hoog and   
                  Richard Weiss   The application of linear multistep
                                  methods to singular initial value
                                  problems . . . . . . . . . . . . . . . . 676--690
                  Alan Goldfine   Taylor series methods for the solution
                                  of Volterra integral and
                                  integro-differential equations . . . . . 691--707
                Hermann Brunner   Discretization of Volterra integral
                                  equations of the first kind  . . . . . . 708--716
        David F. McAllister and   
                 Eli Passow and   
                John A. Roulier   Algorithms for Computing Shape
                                  Preserving Spline Interpolations to Data 717--725
                    Nai-fu Chen   Inverse Iteration on Defective Matrices  726--732
              W. D. Hoskins and   
                     D. S. Meek   The infinity norm of a certain type of
                                  symmetric circulant matrix . . . . . . . 733--737
                     Avram Sidi   Uniqueness of Padé approximants from
                                  series of orthogonal polynomials . . . . 738--739
            F. P. Preparata and   
                  D. V. Sarwate   Computational complexity of Fourier
                                  transforms over finite fields  . . . . . 740--751
           Robert L. Pexton and   
                Arno D. Steiger   Roots of two transcendental equations
                                  involving spherical Bessel functions . . 752--753
              Michael Pohst and   
                Hans Zassenhaus   An effective number geometric method of
                                  computing the fundamental units of an
                                  algebraic number field . . . . . . . . . 754--770
               Richard P. Brent   Computation of the regular continued
                                  fraction for Euler's constant  . . . . . 771--777
             H. C. Williams and   
                       R. Holte   Computation of the Solution of $ x^3 + D
                                  y^3 = 1 $  . . . . . . . . . . . . . . . 778--785
                Duncan A. Buell   Small class numbers and extreme values
                                  of $L$-functions of quadratic fields . . 786--796
                 G. Matthew and   
                 H. C. Williams   Some New Primes of the Form $ k \cdot
                                  2^n + 1 $  . . . . . . . . . . . . . . . 797--798
                      Anonymous   Corrigendum  . . . . . . . . . . . . . . 808--808

Mathematics of Computation
Volume 31, Number 140, October, 1977

                  F. Brezzi and   
                 C. Johnson and   
                     B. Mercier   Analysis of a mixed finite element
                                  method for elasto-plastic plates . . . . 809--817
             Garth A. Baker and   
           James H. Bramble and   
                   Vidar Thomee   Single step Galerkin approximations for
                                  parabolic problems . . . . . . . . . . . 818--847
                  A. Y. Le Roux   A Numerical Conception of Entropy for
                                  Quasi-Linear Equations . . . . . . . . . 848--872
            Dennis C. Jespersen   A least squares decomposition method for
                                  solving elliptic equations . . . . . . . 873--880
               A. G. Morris and   
                   T. S. Horner   Chebyshev polynomials in the numerical
                                  solution of differential equations . . . 881--891
               R. A. Nicolaides   On the $ l^2 $ Convergence of an
                                  Algorithm for Solving Finite Element
                                  Equations  . . . . . . . . . . . . . . . 892--906
             Reinhard Frank and   
             Joerg Hertling and   
        Christoph W. Ueberhuber   An extension of the applicability of
                                  iterated deferred corrections  . . . . . 907--915
               Carl de Boor and   
                   Blair Swartz   Comments on the Comparison of Global
                                  Methods for Linear Two-Point Boundary
                                  Value Problems . . . . . . . . . . . . . 916--921
                  P. Alfeld and   
                  J. D. Lambert   Correction in the dominant space: a
                                  numerical technique for a certain class
                                  of stiff initial value problems  . . . . 922--938
                 R. Sacks-Davis   Error estimates for a stiff differential
                                  equation procedure . . . . . . . . . . . 939--953
                   Ph. L. Toint   On sparse and symmetric matrix updating
                                  subject to a linear equation . . . . . . 954--961
                      David Gay   Modifying singular values: existence of
                                  solutions to systems of nonlinear
                                  equations having a possibly singular
                                  Jacobian matrix  . . . . . . . . . . . . 962--973
            Nabih N. Abdelmalek   Computing the strict Chebyshev solution
                                  of overdetermined linear equations . . . 974--983
                David L. Barrow   Gauss interpolation formulas and totally
                                  positive kernels . . . . . . . . . . . . 984--993
                Walter Gautschi   Anomalous convergence of a continued
                                  fraction for ratios of Kummer functions  994--999
           Robert L. Pexton and   
                Arno D. Steiger   Roots of two transcendental equations
                                  determining the frequency spectra of
                                  standing spherical electromagnetic waves 1000--1002
                   Alois Schett   Recurrence formula of the Taylor series
                                  expansion coefficients of the Jacobian
                                  elliptic functions . . . . . . . . . . . 1003--1005
                Joel Berman and   
                      Kit Hanes   Optimizing the arrangement of points on
                                  the unit sphere  . . . . . . . . . . . . 1006--1008
            A. J. Kinderman and   
              J. F. Monahan and   
                   J. G. Ramage   Computer methods for sampling from
                                  Student's $t$ distribution . . . . . . . 1009--1018
               Charles J. Parry   Real quadratic fields with class numbers
                                  divisible by five  . . . . . . . . . . . 1019--1029
                  Sol Weintraub   Seventeen Primes in Arithmetic
                                  Progression  . . . . . . . . . . . . . . 1030--1030
                     F. W. Long   Corrections to Dickson's table of three
                                  dimensional division algebras over $ F_5
                                  $  . . . . . . . . . . . . . . . . . . . 1031--1033
                D. A. Buell and   
             H. C. Williams and   
                 K. S. Williams   On the Imaginary Bicyclic Biquadratic
                                  Fields With Class-Number $2$ . . . . . . 1034--1042
               Bryant Tuckerman   Corrigendum  . . . . . . . . . . . . . . 1051--1051


Mathematics of Computation
Volume 32, Number 141, January, 1978

            Simeon Ola. Fatunla   An Implicit Two-Point Numerical
                                  Integration Formula for Linear and
                                  Nonlinear Stiff Systems of Ordinary
                                  Differential Equations . . . . . . . . . 1--11
                    G. K. Gupta   Implementing Second-Derivative Multistep
                                  Methods Using the Nordsieck Polynomial
                                  Representation . . . . . . . . . . . . . 13--18
                  Arieh Iserles   $A$-Stability and Dominating Pairs . . . 19--33
                   Luis Kramarz   Global Approximations to Solutions of
                                  Initial Value Problems . . . . . . . . . 35--59
                  Alvin Bayliss   A double shooting scheme for certain
                                  unstable and singular boundary value
                                  problems . . . . . . . . . . . . . . . . 61--71
               A. H. Schatz and   
                  L. B. Wahlbin   Maximum Norm Estimates in the Finite
                                  Element Method on Plane Polygonal
                                  Domains. Part 1  . . . . . . . . . . . . 73--109
             J. Thomas King and   
               Steven M. Serbin   Computational experiments and techniques
                                  for the penalty method with
                                  extrapolation  . . . . . . . . . . . . . 111--126
               R. A. Nicolaides   On the observed rate of convergence of
                                  an iterative method applied to a model
                                  elliptic difference equation . . . . . . 127--133
                 Lois Mansfield   A Clough--Tocher type element useful for
                                  fourth order problems over nonpolygonal
                                  domains  . . . . . . . . . . . . . . . . 135--142
              Melvyn Ciment and   
           Stephen H. Leventhal   A note on the operator compact implicit
                                  method for the wave equation . . . . . . 143--147
           Apostolos Hadjidimos   Accelerated Overrelaxation Method  . . . 149--157
              E. N. Houstis and   
            T. S. Papatheodorou   A collocation method for Fredholm
                                  integral equations of the second kind    159--173
                    S. Winograd   On Computing the Discrete Fourier
                                  Transform  . . . . . . . . . . . . . . . 175--199
                John Greenstadt   Revision of a Derivative-Free
                                  Quasi-Newton Method  . . . . . . . . . . 201--221
              W. G. Dotson, Jr.   An iterative process for nonlinear
                                  monotonic nonexpansive operators in
                                  Hilbert space  . . . . . . . . . . . . . 223--225
              Harold G. Diamond   Stability of Rounded Off Inverses Under
                                  Iteration  . . . . . . . . . . . . . . . 227--232
      Edwin H. Kaufman, Jr. and   
           David J. Leeming and   
                   G. D. Taylor   A Combined Remes-Differential Correction
                                  Algorithm for Rational Approximation . . 233--242
              Giovanni Monegato   Positivity of the weights of extended
                                  Gauss--Legendre quadrature rules . . . . 243--245
              Giovanni Monegato   Some remarks on the construction of
                                  extended Gaussian quadrature rules . . . 247--252
          William J. Gordon and   
                 James A. Wixom   Shepard's Method of ``Metric
                                  Interpolation'' to Bivariate and
                                  Multivariate Interpolation . . . . . . . 253--264
                Paul W. Schmidt   Evaluation of the Integral $
                                  \int^\infty_0 \frac {t^{2 \alpha - 1}
                                  J_\nu (x \sqrt {1 + t^2})}{(1 +
                                  t^2)^{\alpha + \beta - 1}} d t $ . . . . 265--269
                 A. R. DiDonato   An Approximation for $ \int^\infty_x
                                  e^{-t^2 / 2} t^p d t, x > 0, p $ Real . . 271--275
                     Z. Drezner   Computation of the Bivariate Normal
                                  Integral . . . . . . . . . . . . . . . . 277--279
                Carter Bays and   
              Richard H. Hudson   On the Fluctuations of Littlewood for
                                  Primes of the Form $ 4 n \pm 1 $ . . . . 281--286
                Hans Zassenhaus   A Remark on the Hensel Factorization
                                  Method . . . . . . . . . . . . . . . . . 287--292
                   H. J. Godwin   A Note on Congruent Numbers  . . . . . . 293--295
                  Wells Johnson   On the $p$-Divisibility of the Fermat
                                  Quotients  . . . . . . . . . . . . . . . 297--301
                  Masao Kishore   Odd integers $N$ with five distinct
                                  prime factors for which $ 2 - 10^{-12} <
                                  \sigma (N) / N < 2 + 10^{-12}$  . . . . . 303--309

Mathematics of Computation
Volume 32, Number 142, April, 1978

               Olavi Nevanlinna   On the convergence of difference
                                  approximations to nonlinear contraction
                                  semigroups in Hilbert spaces . . . . . . 321--334
            Philippe G. Ciarlet   Interpolation error estimates for the
                                  reduced Hsieh--Clough--Tocher triangle   335--344
           Jim Douglas, Jr. and   
                Todd Dupont and   
                Mary F. Wheeler   A Quasi-Projection Analysis of Galerkin
                                  Methods for Parabolic and Hyperbolic
                                  Equations  . . . . . . . . . . . . . . . 345--362
                  Amiram Harten   The artificial compression method for
                                  computation of shocks and contact
                                  discontinuities. III. Self-adjusting
                                  hybrid schemes . . . . . . . . . . . . . 363--389
                 Aurel Galantai   The comparison of numerical methods for
                                  solving polynomial equations . . . . . . 391--397
                     E. Rakotch   Improved error estimates for numerical
                                  solutions of symmetric integral
                                  equations  . . . . . . . . . . . . . . . 399--404
             Daniel S. Watanabe   Block Implicit One-Step Methods  . . . . 405--414
            J. Christiansen and   
                  R. D. Russell   Error analysis for spline collocation
                                  methods with application to knot
                                  selection  . . . . . . . . . . . . . . . 415--419
                  W. Fraser and   
                  J. M. Bennett   A Method of Virtual Displacements for
                                  the Degenerate Discrete $ l_1 $
                                  Approximation Problem  . . . . . . . . . 421--430
                David L. Barrow   On Multiple Node Gaussian Quadrature
                                  Formulae . . . . . . . . . . . . . . . . 431--439
              Alexandra Banegas   Fast Poisson Solvers for Problems with
                                  Sparsity . . . . . . . . . . . . . . . . 441--446
                       Binh Lam   On the Convergence of a Quasi-Newton
                                  Method for Sparse Nonlinear Systems  . . 447--451
             W. L. Miranker and   
              M. van Veldhuizen   The Method of Envelopes  . . . . . . . . 453--496
                     J. R. Cash   An extension of Olver's method for the
                                  numerical solution of linear recurrence
                                  relations  . . . . . . . . . . . . . . . 497--510
           Robert L. Pexton and   
                Arno D. Steiger   Roots of two transcendental equations as
                                  functions of a continuous real parameter 511--518
                  V. Zakian and   
                  M. J. Edwards   Tabulation of constants for full grade $
                                  I_{MN} $ approximants  . . . . . . . . . 519--531
               T. C. Benton and   
                   H. D. Knoble   Common Zeros of Two Bessel Functions . . 533--535
             Theresa P. Vaughan   A generalization of the simple continued
                                  fraction algorithm . . . . . . . . . . . 537--558
               H. Eisenbeis and   
                    G. Frey and   
                   B. Ommerborn   Computation of the 2-Rank of Pure Cubic
                                  Fields . . . . . . . . . . . . . . . . . 559--569
                Carter Bays and   
              Richard H. Hudson   Details of the first region of integers
                                  $x$ with $ \pi_{3, 2}(x) < \pi_{3, 1}(x)$ 571--576
               D. H. Lehmer and   
                   J. M. Masley   Table of the Cyclotomic Class Numbers $
                                  h^\ast (p) $ and Their Factors for $ 200
                                  < p < 521 $  . . . . . . . . . . . . . . . 577--582
        Samuel S. Wagstaff, Jr.   The Irregular Primes to $ 125000 $ . . . 583--591
            Paul W. Bunting and   
            Jan van Leeuwen and   
                     Dov Tamari   Deciding associativity for partial
                                  multiplication tables of order 3 . . . . 593--605
          Louis Halle Rowen and   
                     Uri Schild   A scalar expression for matrices with
                                  symplectic involution  . . . . . . . . . 607--613
                 Michael Anshel   Vector groups and the equality problem
                                  for vector addition systems  . . . . . . 614--616
                 R. Ernvall and   
        T. Metsänkylä   Cyclotomic Invariants and $
                                  {E}$-Irregular Primes  . . . . . . . . . 617--629
                 J. Riddell and   
                        C. Chan   Some Extremal $2$-Bases  . . . . . . . . 630--634
              R. S. Stevens and   
                   R. Shantaram   Computer-Generated van der Waerden
                                  Partitions . . . . . . . . . . . . . . . 635--636
                 F. Diaz y Diaz   On Some Families of Imaginary Quadratic
                                  Fields . . . . . . . . . . . . . . . . . 637--650
                       H. J. S.   Book Review: Martin Gutknecht, Peter
                                  Henrici, Peter Lauchli, and Hans-Rudolf
                                  Schwarz, \booktitleHeinz Rutishauser:
                                  Vorlesungen Uber Numerische Mathematik
                                  Vols. 1 and 2  . . . . . . . . . . . . . 651--652

Mathematics of Computation
Volume 32, Number 143, July, 1978

                J. M. Blair and   
              C. A. Edwards and   
                  J. H. Johnson   Addendum: ``Rational Chebyshev
                                  approximations for the Bickley functions
                                  $ K i_n(x) $'' (Math. Comp. 32 (1978),
                                  no. 143, 876--886) . . . . . . . . . . . Microfiche supplement
                   Milos Zlamal   Superconvergence and reduced integration
                                  in the finite element method . . . . . . 663--685
                    Ole H. Hald   The Inverse Sturm--Liouville Problem and
                                  the Rayleigh--Ritz Method  . . . . . . . 687--705
                  Anne M. Burns   A necessary condition for the stability
                                  of a difference approximation to a
                                  hyperbolic system of partial
                                  differential equations . . . . . . . . . 707--724
                 A. E. Frey and   
                 C. A. Hall and   
                T. A. Porsching   Some results on the global inversion of
                                  bilinear and quadratic isoparametric
                                  finite element transformations . . . . . 725--749
            John P. Coleman and   
                  Julie Mohamed   On de Vogelaere's Method for $ y'' =
                                  f(x, y) $  . . . . . . . . . . . . . . . 751--762
                  P. W. Gaffney   To Compute the Optimal Interpolation
                                  Formula  . . . . . . . . . . . . . . . . 763--777
           James Lucien Howland   The resultant iteration for determining
                                  the stability of a polynomial  . . . . . 779--789
                   Ole Hald and   
     Vincenza Mauceri del Prete   Convergence of vortex methods for
                                  Euler's equations  . . . . . . . . . . . 791--809
                    W. F. Smyth   The Construction of Rational Iterating
                                  Functions  . . . . . . . . . . . . . . . 811--827
             Robert B. Schnabel   Minimum norm symmetric quasi-Newton
                                  updates restricted to subspaces  . . . . 829--837
                   Ph. L. Toint   Some Numerical Results Using a Sparse
                                  Matrix Updating Formula in Unconstrained
                                  Optimization . . . . . . . . . . . . . . 839--851
               I. Barrodale and   
               L. M. Delves and   
                    J. C. Mason   Linear Chebyshev approximation of
                                  complex-valued functions . . . . . . . . 853--863
            Walter Gautschi and   
                   Josef Slavik   On the computation of modified Bessel
                                  function ratios  . . . . . . . . . . . . 865--875
                J. M. Blair and   
              C. A. Edwards and   
                  J. H. Johnson   Rational Chebyshev approximations for
                                  the Bickley functions $ K i_n(x) $ . . . 876--886
              Shui Nee Chow and   
          John Mallet-Paret and   
                 James A. Yorke   Finding zeroes of maps: homotopy methods
                                  that are constructive with probability
                                  one  . . . . . . . . . . . . . . . . . . 887--899
                 Chih Bing Ling   Further Evaluation of Howland Integrals  900--904
             H. C. Williams and   
                       R. Holte   Some Observations on Primality Testing   905--917
                  J. M. Pollard   Monte Carlo Methods for Index
                                  Computation $ (\bmod p) $  . . . . . . . 918--924
                N. S. Jeans and   
                    M. D. Hendy   Determining the fundamental unit of a
                                  pure cubic field given any unit  . . . . 925--935
           Charles M. Grinstead   On a method of solving a class of
                                  Diophantine equations  . . . . . . . . . 936--940
                  D. E. Shippee   Four New Factors of Fermat Numbers . . . 941--941

Mathematics of Computation
Volume 32, Number 144, October, 1978

           James H. Bramble and   
                  Ridgway Scott   Simultaneous approximation in scales of
                                  Banach spaces  . . . . . . . . . . . . . 947--954
               H. B. Keller and   
                     V. Pereyra   Symbolic Generation of Finite Difference
                                  Formulas . . . . . . . . . . . . . . . . 955--971
                 J. Giroire and   
                  J. C. Nedelec   Numerical Solution of an Exterior
                                  Neumann Problem Using a Double Layer
                                  Potential  . . . . . . . . . . . . . . . 973--990
               I. Babu\vska and   
                   J. E. Osborn   Numerical treatment of eigenvalue
                                  problems for differential equations with
                                  discontinuous coefficients . . . . . . . 991--1023
           R. Bruce Kellogg and   
                     Alice Tsan   Analysis of some difference
                                  approximations for a singular
                                  perturbation problem without turning
                                  points . . . . . . . . . . . . . . . . . 1025--1039
               Andrew Majda and   
            James McDonough and   
                  Stanley Osher   The Fourier Method for Nonsmooth Initial
                                  Data . . . . . . . . . . . . . . . . . . 1041--1081
               R. A. Nicolaides   On Multigrid Convergence in the
                                  Indefinite Case  . . . . . . . . . . . . 1082--1086
                 Riaz A. Usmani   Discrete variable methods for a boundary
                                  value problem with engineering
                                  applications . . . . . . . . . . . . . . 1087--1096
             Moshe Goldberg and   
                   Eitan Tadmor   Scheme-independent stability criteria
                                  for difference approximations of
                                  hyperbolic initial-boundary value
                                  problems. I  . . . . . . . . . . . . . . 1097--1107
                   Rolf Jeltsch   Complete Characterization of Multistep
                                  Methods with an Interval of Periodicity
                                  for Solving $ y'' = f(x, y) $  . . . . . 1108--1114
                 L. F. Shampine   Limiting precision in differential
                                  equation solvers. II. Sources of trouble
                                  and starting a code  . . . . . . . . . . 1115--1122
                    D. L. Hicks   Stability analysis of WONDY (a hydrocode
                                  based on the artificial viscosity method
                                  of von Neumann and Richtmyer) for a
                                  special case of Maxwell's law  . . . . . 1123--1130
               D. L. Barrow and   
                 C. K. Chui and   
                P. W. Smith and   
                     J. D. Ward   Unicity of best mean approximation by
                                  second order splines with variable knots 1131--1143
              C. J. O'Neill and   
                       T. Downs   A numerical accuracy consideration in
                                  polynomial deflation . . . . . . . . . . 1144--1146
                 Baker Kearfott   A Proof of Convergence and an Error
                                  Bound for the Method of Bisection in $
                                  {\bf R}^n $  . . . . . . . . . . . . . . 1147--1153
        David F. McAllister and   
                John A. Roulier   Interpolation by Convex Quadratic
                                  Splines  . . . . . . . . . . . . . . . . 1154--1162
              R. C. Y. Chin and   
                 G. W. Hedstrom   A dispersion analysis for difference
                                  schemes: tables of generalized Airy
                                  functions  . . . . . . . . . . . . . . . 1163--1170
                Paul W. Schmidt   An asymptotic approximation for a type
                                  of Fourier integral  . . . . . . . . . . 1171--1182
               H. Wolkowicz and   
                      S. Zlobec   Calculating the best approximate
                                  solution of an operator equation . . . . 1183--1213
                   Paul S. Wang   An improved multivariate polynomial
                                  factoring algorithm  . . . . . . . . . . 1215--1231
              J. L. Schonfelder   Chebyshev expansions for the error and
                                  related functions  . . . . . . . . . . . 1232--1240
                  Hansraj Gupta   Finite Differences of the Partition
                                  Function . . . . . . . . . . . . . . . . 1241--1243
                  David W. Boyd   Pisot and Salem numbers in intervals of
                                  the real line  . . . . . . . . . . . . . 1244--1260
               Charles J. Parry   On the Class Number of Relative
                                  Quadratic Fields . . . . . . . . . . . . 1261--1270
            Lajos Takács   A Sum of Binomial Coefficients . . . . . 1271--1273
                 W. W. Stothers   Free Subgroups of the Free Product of
                                  Cyclic Groups  . . . . . . . . . . . . . 1274--1280
                 R. E. Crandall   On the ``$ 3 x + 1 $'' Problem . . . . . 1281--1292
                 J. Fischer and   
                       J. McKay   The Nonabelian Simple Groups $ {G},
                                  |{G}| < 10^6 $ --- Maximal Subgroups  . . 1293--1302
                   J. H. McCabe   A Further Correspondence Property of $
                                  {M} $ Fractions  . . . . . . . . . . . . 1303--1305
                 H. C. Williams   Some Primes with Interesting Digit
                                  Patterns . . . . . . . . . . . . . . . . 1306--1310
                   P. L. Walker   On an Integral Summable to $ 2 \xi (s) /
                                  s(s - 1) $ . . . . . . . . . . . . . . . 1311--1316
               Rolf Jeltsch and   
                  Daniel Shanks   Corrigenda: Microfiche (January 1977)
                                  and \em Gauss's Ternary Form Reduction
                                  and the $2$-Sylow Subgroup . . . . . . . 1328--1329


Mathematics of Computation
Volume 33, Number 145, January, 1979

          Max D. Gunzburger and   
             Robert J. Plemmons   Energy-conserving norms for the solution
                                  of hyperbolic systems of partial
                                  differential equations . . . . . . . . . 1--10
         Gunilla Sköllermo   Error analysis of finite difference
                                  schemes applied to hyperbolic
                                  initial-boundary value problems  . . . . 11--35
            Vidar Thomée   Some interior estimates for semidiscrete
                                  Galerkin approximations for parabolic
                                  equations  . . . . . . . . . . . . . . . 37--62
              William G. Kolata   Eigenvalue approximation by the finite
                                  element method: the method of Lagrange
                                  multipliers  . . . . . . . . . . . . . . 63--76
 Julio César Díaz   A collocation-Galerkin method for
                                  Poisson's equation on rectangular
                                  regions  . . . . . . . . . . . . . . . . 77--84
                  Frank Stenger   A ``sinc-Galerkin'' method of solution
                                  of boundary value problems . . . . . . . 85--109
                   Peter Alfeld   Inverse linear multistep methods for the
                                  numerical solution of initial value
                                  problems of ordinary differential
                                  equations  . . . . . . . . . . . . . . . 111--124
                G. K. Gupta and   
                  C. S. Wallace   A new step-size changing technique for
                                  multistep methods  . . . . . . . . . . . 125--138
            Darrell Schmidt and   
             Kenneth L. Wiggins   Minimax approximate solutions of linear
                                  boundary value problems  . . . . . . . . 139--148
                    Jane Cullum   The effective choice of the smoothing
                                  norm in regularization . . . . . . . . . 149--170
                    C. C. Paige   Computer Solution and Perturbation
                                  Analysis of Generalized Linear Least
                                  Squares Problems . . . . . . . . . . . . 171--183
           Paul N. Swarztrauber   A Parallel Algorithm for Solving General
                                  Tridiagonal Equations  . . . . . . . . . 185--199
              John L. Donaldson   Minkowski reduction of integral matrices 201--216
              B. N. Parlett and   
                    D. S. Scott   The Lánczos Algorithm with Selective
                                  Orthogonalization  . . . . . . . . . . . 217--238
                    D. S. Scott   How to Make the Lánczos Algorithm
                                  Converge Slowly  . . . . . . . . . . . . 239--247
                   J. N. Lyness   A Bench Mark Experiment for Minimization
                                  Algorithms . . . . . . . . . . . . . . . 249--264
                   J. N. Lyness   The affine scale invariance of
                                  minimization algorithms  . . . . . . . . 265--287
        Ronald D. Armstrong and   
               James P. Godfrey   Two Linear Programming Algorithms for
                                  the Linear Discrete $ L_+1 $ Norm
                                  Problem  . . . . . . . . . . . . . . . . 289--300
              David Elliott and   
                    D. F. Paget   Gauss type quadrature rules for Cauchy
                                  principal value integrals  . . . . . . . 301--309
               Stuart R. Keller   On the Surface Area of the Ellipsoid . . 310--314
                     Avram Sidi   Convergence properties of some nonlinear
                                  sequence transformations . . . . . . . . 315--326
              Siegfried M. Rump   Polynomial Minimum Root Separation . . . 327--336
                   J. R. Philip   Note on the Kelvin Phase Functions . . . 337--341
                Walter Gautschi   The Condition of Polynomials in Power
                                  Form . . . . . . . . . . . . . . . . . . 343--352
               N. L. Balazs and   
                H. C. Pauli and   
                 O. B. Dabbousi   Tables of Weyl fractional integrals for
                                  the Airy function  . . . . . . . . . . . 353--358
                    Harvey Cohn   Dyadotropic Polynomials. II  . . . . . . 359--367
             H. C. Williams and   
                     P. A. Buhr   Calculation of the Regulator of $
                                  {Q}(\sqrt {D}) $ by use of the Nearest
                                  Integer Continued Fraction Algorithm . . 369--381
             R. E. Crandall and   
                     M. A. Penk   A Search for Large Twin Prime Pairs  . . 383--388
            Vincent G. Cioffari   The Euclidean condition in pure cubic
                                  and complex quartic fields . . . . . . . 389--398
                 Carl Pomerance   The Prime Number Graph . . . . . . . . . 399--408
                    Shoji Kyuno   An Inductive Algorithm to Construct
                                  Finite Lattices  . . . . . . . . . . . . 409--421
                   S. Conde and   
                    S. L. Kalla   The $ \nu $-zeros of $ {J}_{- \nu }(x)$  423--426
                   David M. Gay   Corrigenda: ``Modifying singular values:
                                  existence of solutions to systems of
                                  nonlinear equations having a possibly
                                  singular Jacobian matrix'' (Math. Comp.
                                  \bf 31 (1977), no. 140, 962--973)  . . . 432--433
                  Reijo Ernvall   Corrigenda: ``Cyclotomic invariants and
                                  $E$-irregular primes'' (Math. Comp. 32
                                  (1978), no. 142, 617--629) by Ernvall
                                  and T. Metsänkylä  . . . . . . . . . . . . 433--433

Mathematics of Computation
Volume 33, Number 146, April, 1979

               I. Babu\vska and   
               W. C. Rheinboldt   Analysis of Optimal Finite-Element
                                  Meshes in $ {R}^1 $  . . . . . . . . . . 435--463
               A. H. Schatz and   
                  L. B. Wahlbin   Maximum Norm Estimates in the Finite
                                  Element Method on Plane Polygonal
                                  Domains. Part 2, Refinements . . . . . . 465--492
                Mitchell Luskin   Convergence of a finite element method
                                  for the approximation of normal modes of
                                  the oceans . . . . . . . . . . . . . . . 493--519
             Trond Steihaug and   
                Arne Wolfbrandt   An attempt to avoid exact Jacobian and
                                  nonlinear equations in the numerical
                                  solution of stiff differential equations 521--534
                   Peter Alfeld   An improved version of the reduction to
                                  scalar CDS method for the numerical
                                  solution of separably stiff initial
                                  value problems . . . . . . . . . . . . . 535--539
               G. J. Cooper and   
                       A. Sayfy   Semiexplicit $A$-Stable Runge--Kutta
                                  Methods  . . . . . . . . . . . . . . . . 541--556
                    J. M. Varah   On the efficient implementation of
                                  implicit Runge--Kutta methods  . . . . . 557--561
          Vassilios A. Dougalis   Multistep-Galerkin methods for
                                  hyperbolic equations . . . . . . . . . . 563--584
               Michael Ghil and   
               Ramesh Balgovind   A Fast Cauchy--Riemann Solver  . . . . . 585--635
               R. Leonard Brown   Stability of sequences generated by
                                  nonlinear differential systems . . . . . 637--645
              R. C. Y. Chin and   
             G. W. Hedstrom and   
                 K. E. Karlsson   A simplified Galerkin method for
                                  hyperbolic equations . . . . . . . . . . 647--658
                  U. Ascher and   
            J. Christiansen and   
                  R. D. Russell   A collocation solver for mixed order
                                  systems of boundary value problems . . . 659--679
                      Axel Ruhe   Implementation Aspects of Band Lánczos
                                  Algorithms for Computation of
                                  Eigenvalues of Large Sparse Symmetric
                                  Matrices . . . . . . . . . . . . . . . . 680--687
                     C. H. Yang   Hadamard matrices, finite sequences, and
                                  polynomials defined on the unit circle   688--693
       Sven-Åke Gustafson   On Stable Calculation of Linear
                                  Functionals  . . . . . . . . . . . . . . 694--704
             Charles J. Gladwin   Quadrature rule methods for Volterra
                                  integral equations of the first kind . . 705--716
                  Martin Stynes   On faster convergence of the bisection
                                  method for certain triangles . . . . . . 717--721
             Krzysztof Sikorski   A three-dimensional analogue to the
                                  method of bisections for solving
                                  nonlinear equations  . . . . . . . . . . 722--738
                  James L. Blue   A Legendre Polynomial Integral . . . . . 739--741
                Walter Gautschi   On the preceding paper ``A Legendre
                                  polynomial integral'' by James L. Blue   742--743
          Henry C. Thacher, Jr.   New Backward Recurrences for Bessel
                                  Functions  . . . . . . . . . . . . . . . 744--764
             A. G. Petschek and   
           R. E. Williamson and   
              W. J. Krauser and   
                    P. C. White   Monte Carlo functional expansion
                                  calculation of free molecular flows  . . 765--777
                  Robert Morris   The Dilogarithm Function of a Real
                                  Argument . . . . . . . . . . . . . . . . 778--787
               John Detrich and   
                 Robert W. Conn   Finite sum evaluation of the Gauss
                                  hypergeometric function in an important
                                  special case . . . . . . . . . . . . . . 788--791
                  M. L. Glasser   A Note on the Integral $ \int^\infty_0
                                  t^{2 \alpha - 1}(1 + t^2)^{1 - \alpha -
                                  \beta } {J}_\nu (x \sqrt {1 + t^2}) d t
                                  $  . . . . . . . . . . . . . . . . . . . 792--793
           Ch. A. Charalambides   Bernoulli related polynomials and
                                  numbers  . . . . . . . . . . . . . . . . 794--804
                  P. Lambin and   
                 J. P. Vigneron   Tables for the Gaussian Computation of $
                                  \int^\infty_0 x^\alpha e^{-x}f(x) d x $
                                  for Values of $ \alpha $ Varying
                                  Continuously Between $ - 1 $ and $ + 1 $ 805--811
                 John McKay and   
              Kiang Chuen Young   The Nonabelian Simple Groups $ {G} $, $
                                  {|G|} < 10^6$---Minimal Generating Pairs  812--814
                    J. S. Frame   The Hankel power sum matrix inverse and
                                  the Bernoulli continued fraction . . . . 815--826
            Ronald J. Evans and   
              Jay Roderick Hill   The Cyclotomic Numbers of Order Sixteen  827--835
             F. Diaz y Diaz and   
              Daniel Shanks and   
                 H. C. Williams   Quadratic Fields With $3$-Rank Equal to
                                  $4$  . . . . . . . . . . . . . . . . . . 836--840
             H. G. Kopetzky and   
                     W. Schwarz   Two conjectures of B. R. Santos
                                  concerning totitives . . . . . . . . . . 841--844
                   H. J. Godwin   Corrigenda: ``A note on congruent
                                  numbers'' (Math. Comp. \bf 32 (1978),
                                  no. 141, 293--295) . . . . . . . . . . . 847--847
                  C. M. Lee and   
               F. D. K. Roberts   Corrigenda: ``A comparison of algorithms
                                  for rational $ l_{\infty } $
                                  approximation'' (Math. Comp. 27 (1973),
                                  111--121)  . . . . . . . . . . . . . . . 847--847
                 H. C. Williams   Errata: ``Certain pure cubic fields with
                                  class-number one'' [Math. Comp. \bf 31
                                  (1977), no. 138, 578--580, MR \bf 55
                                  #5578] . . . . . . . . . . . . . . . . . 847--848

Mathematics of Computation
Volume 33, Number 147, July, 1979

          Dianne P. O'Leary and   
                   Olof Widlund   Capacitance matrix methods for the
                                  Helmholtz equation on general
                                  three-dimensional regions  . . . . . . . 849--879
               Louis W. Ehrlich   A Marching Technique for Nonseparable
                                  Equations  . . . . . . . . . . . . . . . 881--890
                 P. Lesaint and   
                  P. A. Raviart   Finite element collocation methods for
                                  first-order systems  . . . . . . . . . . 891--918
      Marie-Noëlle Le Roux   Semidiscretization in Time for Parabolic
                                  Problems . . . . . . . . . . . . . . . . 919--931
               R. A. Nicolaides   On some theoretical and practical
                                  aspects of multigrid methods . . . . . . 933--952
       Sukumar Chakravarthy and   
                  Dale Anderson   Numerical Conformal Mapping  . . . . . . 953--969
                      T. D. Bui   A Note on the Rosenbrock Procedure . . . 971--975
              David G. Korn and   
        Jules J. Lambiotte, Jr.   Computing the Fast Fourier Transform on
                                  a vector computer  . . . . . . . . . . . 977--992
                G. Monegato and   
                   J. N. Lyness   On the numerical evaluation of a
                                  particular singular two-dimensional
                                  integral . . . . . . . . . . . . . . . . 993--1002
               Elise de Doncker   New Euler--Maclaurin expansions and
                                  their application to quadrature over the
                                  $s$-dimensional simplex  . . . . . . . . 1003--1018
            Roland Kusterer and   
                 Manfred Reimer   Stable Evaluation of Polynomials in Time
                                  $ \log n $ . . . . . . . . . . . . . . . 1019--1031
       Stanley E. Babb, Jr. and   
                 James W. Cafky   Operational evaluation of certain
                                  infinite Bessel function integrals . . . 1033--1039
           Robert L. Pexton and   
                Arno D. Steiger   Degenerate roots of three transcendental
                                  equations involving spherical Bessel
                                  functions  . . . . . . . . . . . . . . . 1041--1048
                  Bruno Gabutti   On high precision methods for computing
                                  integrals involving Bessel functions . . 1049--1057
                Henry E. Fettis   An asymptotic expansion for the upper
                                  percentage points of the $
                                  \chi^2$-distribution . . . . . . . . . . 1059--1064
                John F. Monahan   Extensions of von Neumann's method for
                                  generating random variables  . . . . . . 1065--1069
                 Dan Zwillinger   A Goldbach Conjecture Using Twin Primes  1071--1071
        Samuel S. Wagstaff, Jr.   Greatest of the least primes in
                                  arithmetic progressions having a given
                                  modulus  . . . . . . . . . . . . . . . . 1073--1080
             J. C. Lagarias and   
                  A. M. Odlyzko   On computing Artin $ {L}$-functions in
                                  the critical strip . . . . . . . . . . . 1081--1095
        Samuel S. Wagstaff, Jr.   Solution of Nathanson's exponential
                                  congruence . . . . . . . . . . . . . . . 1097--1100
               Brendan D. McKay   Transitive Graphs With Fewer Than Twenty
                                  Vertices . . . . . . . . . . . . . . . . 1101--1121

Mathematics of Computation
Volume 33, Number 148, October, 1979

           Richard E. Ewing and   
                Richard S. Falk   Numerical approximation of a Cauchy
                                  problem for a parabolic partial
                                  differential equation  . . . . . . . . . 1125--1144
             Saul Abarbanel and   
                 David Gottlieb   Stability of two-dimensional initial
                                  boundary value problems using leap-frog
                                  type schemes . . . . . . . . . . . . . . 1145--1155
              Tsutomu Ikeda and   
              Tomoyasu Nakagawa   On the SHASTA FCT Algorithm for the
                                  Equation $ \frac {\partial \rho }
                                  {\partial t} + \frac {\partial
                                  }{\partial x}(\upsilon (\rho) \rho) = 0
                                  $  . . . . . . . . . . . . . . . . . . . 1157--1169
                     David Hoff   A finite difference scheme for a system
                                  of two conservation laws with artificial
                                  viscosity  . . . . . . . . . . . . . . . 1171--1193
                   Peter Alfeld   A special class of explicit linear
                                  multistep methods as basic methods for
                                  the correction in the dominant space
                                  technique  . . . . . . . . . . . . . . . 1195--1212
          Wolf-Jürgen Beyn   The exact order of convergence for
                                  finite difference approximations to
                                  ordinary boundary value problems . . . . 1213--1228
                Robert D. Skeel   Equivalent Forms of Multistep Formulas   1229--1250
                    G. K. Gupta   A polynomial representation of hybrid
                                  methods for solving ordinary
                                  differential equations . . . . . . . . . 1251--1256
            R. S. Stepleman and   
                 N. D. Winarsky   Adaptive Numerical Differentiation . . . 1257--1264
                  Fred T. Krogh   Recurrence relations for computing with
                                  modified divided differences . . . . . . 1265--1271
                  Steven Pruess   Alternatives to the Exponential Spline
                                  in Tension . . . . . . . . . . . . . . . 1273--1281
                  Stephen Demko   On Bounding $ \| A^{-1} \|_\infty $ for
                                  Banded $A$ . . . . . . . . . . . . . . . 1283--1288
          Dianne P. O'Leary and   
              G. W. Stewart and   
           James S. Vandergraft   Estimating the Largest Eigenvalue of a
                                  Positive Definite Matrix . . . . . . . . 1289--1292
               Dominique Dumont   A combinatorial interpretation for the
                                  Schett recurrence on the Jacobian
                                  elliptic functions . . . . . . . . . . . 1293--1297
                K. V. Leung and   
              S. S. Ghaderpanah   An application of the finite element
                                  approximation method to find the complex
                                  zeros of the modified Bessel function $
                                  {K}_n(z) $ . . . . . . . . . . . . . . . 1299--1306
                    Harvey Cohn   Cyclic-Sixteen Class Fields for $ {Q}( -
                                  p)^{1 / 2} $ by Modular Arithmetic . . . 1307--1316
             H. C. Williams and   
                  Daniel Shanks   A Note on Class-Number One in Pure Cubic
                                  Fields . . . . . . . . . . . . . . . . . 1317--1320
               William W. Adams   On a relationship between the
                                  convergents of the nearest integer and
                                  regular continued fractions  . . . . . . 1321--1331
                 Robert Baillie   New Primes of the Form $ k \cdot 2^n + 1
                                  $  . . . . . . . . . . . . . . . . . . . 1333--1336
             H. C. Williams and   
                        E. Seah   Some Primes of the Form $ (a^n - 1) / (a
                                  - 1) $ . . . . . . . . . . . . . . . . . 1337--1342
             Emil Grosswald and   
               Peter Hagis, Jr.   Arithmetic Progressions Consisting Only
                                  of Primes  . . . . . . . . . . . . . . . 1343--1352
           Joseph L. Gerver and   
               L. Thomas Ramsey   Sets of Integers With No Long Arithmetic
                                  Progressions Generated by the Greedy
                                  Algorithm  . . . . . . . . . . . . . . . 1353--1359
               Richard P. Brent   On the zeros of the Riemann zeta
                                  function in the critical strip . . . . . 1361--1372


Mathematics of Computation
Volume 65, Number 213, January, 1996

                W. A. Beyer and   
                     W. W. Wood   Corrigenda: ``The lattice structure of
                                  multiplicative congruential
                                  pseudo-random vectors'' [Math. Comp. \bf
                                  25 (1971), 345--363, MR \bf 46 #8373] by
                                  W. A. Beyer, R. B. Roof, and Dorothy
                                  Williamson . . . . . . . . . . . . . . . 445--446