Last update:
Thu Oct 18 13:04:02 MDT 2007
E. Stiefel Über diskrete und lineare
Tschebyscheff-Approximationen. (German)
[On Discrete and Linear Chebyshev
Approximations] . . . . . . . . . . . . 1--28
Alston S. Householder and
Friedrich L. Bauer On Certain Methods for Expanding the
Characteristic Polynomial . . . . . . . 29--37
M. Weisfeld Orthogonal polynomials in several
variables . . . . . . . . . . . . . . . 38--40
A. J. Perlis and
K. Samelson Report on the algorithmic language ALGOL
by the ACM committee on programming
languages and the GAMM committee on
programming . . . . . . . . . . . . . . 41--60
Lothar Collatz and
J. Schroeder Einschließen der Lösungen von
Randwertaufgaben. (German) [Bracketing
Solutions to Boundary Value Problems] 61--72
W. Dueck Eine Fehlerabschätzung zum
Einzelschrittverfahren bei linearen
Gleichungssystemen. (German) [An Error
Bound for the Independent Step Method in
Linear Equation Systems] . . . . . . . . 73--77
Erwin Kreyszig and
John Todd The radius of univalence of the error
function . . . . . . . . . . . . . . . . 78--89
Stig Comet Über die Anwendung von Binärmodellen in
der Theorie der Charaktere der
symmetrischen Gruppen. (German) [On the
use of the Binary Model in the Theory of
Characters of Symmetric Groups] . . . . 90--109
A. Walther and
H. Schappert Numerische Behandlung des
Gelenkvierecks. (German) [Numerical
Treatment of General Quadrilaterals] . . 110--120
Harvey Cohn Numerical study of the representation of
a totally positive quadratic integer as
the sum of quadratic integral squares 121--134
G. Bertram Verschärfung einer Fehlerabschätzung zum
Ritz-Galerkinschen Verfahren von Kryloff
für Randwertaufgaben. (German)
[Tightening of an Error Bound for the
Ritz-Galerkin Method for Krylov Boundary
Value Problems] . . . . . . . . . . . . 135--141
P. Wynn On the propagation of error in certain
non-linear algorithms . . . . . . . . . 142--149
J. H. Wilkinson The evaluation of the zeros of
ill-conditioned polynomials. I . . . . . 150--166
J. H. Wilkinson The evaluation of the zeros of
ill-conditioned polynomials. II . . . . 167--180
E. Stiefel Note on Jordan elimination, linear
programming and Tchebyscheff
approximation . . . . . . . . . . . . . 1--17
W. Wetterling Zum Einschließungssatz von
Kryloff-Bogoliubov für allgemeine
Eigenwertaufgaben bei gewöhnlichen
Differentialgleichungen. (German) [An
enclosure theorem of Kryloff-Bogoliubov
for ordinary eigenvalue problems in
ordinary differential equations] . . . . 18--21
Tosio Kato Estimation of Iterated Matrices, with
Application to the von Neumann Condition 22--29
T. E. Hull and
W. A. J. Luxemburg Numerical methods and existence theorems
for ordinary differential equations . . 30--41
F. L. Bauer and
A. S. Householder Moments and Characteristic Roots . . . . 42--53
G. Bertram Berichtigung zu meinen Arbeit
,,Verschärfung einer Fehlerabschätzung
\ldots [Num. Math. \bf 1, 135--141
(1959)]. (German) [Correction to my
Paper ``Tightening of an Error Bound
\ldots''] . . . . . . . . . . . . . . . 54--54
A. S. Householder and
F. L. Bauer On Certain Iterative Methods for Solving
Linear Systems . . . . . . . . . . . . . 55--59
N. J. Lehmann Eine Fehlerabschätzung zum Ritzschen
Verfahren für inhomogene
Randwertaufgaben. (German) [An Error
Bound for the Ritz Method for
Inhomogeneous Boundary Value Problems] 60--66
Robert L. Causey and
Peter Henrici Convergence of approximate eigenvectors
in Jacobi methods . . . . . . . . . . . 67--78
W. Börsch-Supan Bemerkungen zur Fehlerabschätzung beim
Ritz-Galerkin-Verfahren nach Krylow.
(German) [Remark on the Error Bounds of
the Ritz-Galerkin Method of Krylov] . . 79--83
J. H. Halton On the efficiency of certain
quasi-random sequences of points in
evaluating multi-dimensional integrals 84--90
Jim Douglas A numerical method for the solution of a
parabolic system . . . . . . . . . . . . 91--98
L. Veidinger On the numerical determination of the
best approximations in the Chebyshev
sense . . . . . . . . . . . . . . . . . 99--105
Peter Naur and
J. W. Backus and
F. L. Bauer and
J. Green and
C. Katz and
J. MacCarthy and
A. J. Perlis and
H. Rutishauser and
K. Samelson and
B. Vauquois and
J. H. Wegstein and
A. van Wijngaarden and
M. Woodger Report on the algorithmic language Algol
60 . . . . . . . . . . . . . . . . . . . 106--136
F. L. Bauer and
C. T. Fike Norms and Exclusion Theorems . . . . . . 137--141
H. Machly and
C. Witzgall Tschebyscheff-Approximationen in kleinen
Intervallen. I. (German) [Chebyshev
Approximations in Small Intervals. I] 142--150
Peter Wynn Über einen Interpolations-Algorithmus und
gewisse andere Formeln, die in der
Theorie der Interpolation durch
rationale Funktionen bestehen. (German)
[On interpolation algorithms and certain
other formulas existing in the
interpolations theory by rational
functions] . . . . . . . . . . . . . . . 151--182
H. Brakhage Über die numerische Behandlung von
Integralgleichungen nach der
Quadraturformelmethode. (German) [On the
Numerical Treatment of Integral
Equations for the Quadrature Formula
Method] . . . . . . . . . . . . . . . . 183--196
J. H. Halton Berichtigung: ``On the efficiency of
certain quasi-random sequences of points
in evaluating multi-dimensional
integrals'' [Num. Math. \bf 2, 84--90
(1960)]. (German) [Correction] . . . . . 196--196
C. W. Clenshaw and
A. R. Curtis A method for numerical integration on an
automatic computer . . . . . . . . . . . 197--205
C. G. Esseen Über die asymptotisch beste Approximation
stetiger Funktionen mit Hilfe von
Bernstein-Polynomen. (German) [On the
Asymptotically Best Approximation of
Continuous Functions with the Aid of
Berstein Polynomials] . . . . . . . . . 206--213
Herbert E. Salzer Optimal points for numerical
differentiation . . . . . . . . . . . . 214--227
Wilhelm Magnus and
Leon Kotin The zeros of the Hankel function as a
function of its order . . . . . . . . . 228--244
Rudolf F. Albrecht Approximation to the solution of partial
differential-equations by the solution
of ordinary differential-equations . . . 245--262
Heinz Rutishauser Bemerkungen zur numerischen Integration
gewöhnlicher Differentialgleichungen
$n$-ter Ordnung. (German) [Remark on the
Numerical Integration of $n$-th Order
Ordinary Differential Equations] . . . . 263--279
J. Neubüser Untersuchungen des Untergruppenverbandes
endlicher Gruppen auf einer
programmgesteuerten elektronischen
Dualmaschine. (German) [Investigation of
Subroup Units of Finite Groups with a
Programmable Electronic Dual Machine] 280--292
H. Machly and
C. Witzgall Tschebyscheff-Approximationen in kleinen
Intervallen. II: Stetigkeitssätze für
gebrochen rationale Approximationen.
(German) [Chebyshev Approximations in
Small Intervals. II. Stability
Conditions for Broken Rational
Approximations] . . . . . . . . . . . . 293--307
F. L. Bauer and
A. S. Householder Some inequalities involving the
Euclidean condition of a matrix . . . . 308--311
E. W. Dijkstra Recursive programming . . . . . . . . . 312--318
J. H. Wilkinson Error Analysis of Floating-Point
Computation . . . . . . . . . . . . . . 319--340
N. J. Lehmann Das inhomogene natürliche Randwertproblem
und Fehlerabschätzungen für
Näherungslösungen. (German) [The
Inhomogeneous Natural Boundary Value
Problem and Error Bounds for Approximate
Solution] . . . . . . . . . . . . . . . 1--29
Friedrich Wilhelm Schaefke Ein Verfahren zur Berechnung des
charakteristischen Exponenten der
Mathieuschen Differentialgleichung. I.
(German) [A Method for Calculation of
Characteristic Exponents of the Mathiew
Differential Equation. I] . . . . . . . 30--38
Johann Schröder Fehlerabschätzung mit Rechenanlagen bei
gewönlichen Differentialgleichungen
erster Ordnung. (German) [Computational
error bounds for first-order ordinary
differential equations] . . . . . . . . 39--61
A. Schönhage Fehlerfortpflanzung bei Interpolation.
(German) [Error Transmission in
Interpolation] . . . . . . . . . . . . . 62--71
E. W. Cheney and
H. L. Loeb Two new algorithms for rational
approximation . . . . . . . . . . . . . 72--75
Yudell L. Luke The radius of univalence of the function
exp $z^2 \int_0^z$ exp $(-t^2) dt$ . . . 76--78
E. Karst Faktorenzerlegung Mersennescher Zahlen
mittels programmgesteuerter Rechengeräte.
(German) [Factorization of Mersenne
Numbers with Programmable Computers] . . 79--86
Göran Kjellberg On the successive over-relaxation method
for cyclic operators . . . . . . . . . . 87--91
J. Douglas, Jr. Alternating direction iteration for
mildly nonlinear elliptic difference
equations . . . . . . . . . . . . . . . 92--98
Lothar Collatz Monotonie und Extremalprinzipien beim
Newtonschen Verfahren. (German)
[Monotonicty and Extremal Principles of
Newton Methods] . . . . . . . . . . . . 99--106
P. C. Sikkema Der Wert einiger Konstanten in der
Theorie der Approximation mit
Bernstein-Polynomen.. (German) [The
Value of Some Constants in the
Approximation Theory for Bernstein
Polynomials] . . . . . . . . . . . . . . 107--116
F. L. Bauer A further generalization of the
Kantorovic inequality . . . . . . . . . 117--119
Herbert E. Salzer Some extensions of Bairstow's method . . 120--124
Johann Schröder Verbesserung einer Fehlerabschätzung für
gewöhnliche Differentialgleichungen
erster Ordnung. (German) [Improvement of
error bounds for first-order ordinary
differential equations] . . . . . . . . 125--130
Rudolf Albrecht and
Wolfram Ulrich Ein Differenzenverfahren zur
näherungsweisen Lösung des
Anfangswertproblems für Systeme
halblinearer partieller
Differentialgleichungen. 1. Ordnung.
(German) [A Difference Equation for
Approximate Solution of Initial Value
Problems for Half-Linear Partial
Differential Equations. 1. Order] . . . 131--146
Gene H. Golub and
Richard S. Varga Chebyshev Semi-Iterative Methods,
Successive Overrelaxation Iterative
Methods, and Second Order Richardson
Iterative Methods. I . . . . . . . . . . 147--156
Gene H. Golub and
Richard S. Varga Chebyshev Semi-Iterative Methods,
Successive Overrelaxation Iterative
Methods, and Second Order Richardson
Iterative Methods. II . . . . . . . . . 157--168
L. C. Hsu Note on the numerical integration of
periodic functions and of partially
periodic functions . . . . . . . . . . . 169--173
H. Brakhage Zur Fehlerabschätzung für die numerische
Eigenwertbestimmung bei
Integralgleichungen. (German) [Toward
Error Bounds for Numerical Eigenvalue
Determination in Integral Equations] . . 174--179
J. Descloux Dégénérescence dans les approximations de
Tschebyscheff linéaires et discr\`etes.
(French) [Degeneration in Linear and
Discrete Chebyshev Approximations] . . . 180--187
J. Albrecht Fehlerabschätzungen bei
Relaxationsverfahren zur numerischen
Auflösung linearer Gleichungssysteme.
(German) [Error Bounds for the
Relaxation Method for Numerical Solution
of Linear Equation Systems] . . . . . . 188--201
M. Blum A stagewise parameter estimation
procedure for correlated data . . . . . 202--208
Stefan Bergman and
John G. Herriot Application of the method of the kernel
function for solving boundary- value
problems . . . . . . . . . . . . . . . . 209--225
Peter Läuchli Jordan-Elimination und Ausgleichung nach
kleinsten Quadraten. (German) [Jordan
elimination and balancing using least
squares] . . . . . . . . . . . . . . . . 226--240
F. L. Bauer and
A. S. Householder Absolute norms and characteristic roots 241--246
H. Fisser Some tests applied to pseudo-random
numbers generated by v. Hörner's rule . . 247--249
H. Felsch Programmierung der Restklassenabzählung
einer Gruppe nach Untergruppen. (German)
[Programming of Residue Classes of a
Group via its Subgroups] . . . . . . . . 250--256
F. L. Bauer and
J. Stoer and
C. Witzgall Absolute and Monotonic Norms . . . . . . 257--264
F. W. Schaefke and
R. Ebert and
H. Groh Ein Verfahren zur Berechnung des
charakteristischen Exponenten der
Mathieuschen Differentialgleichung. II.
(German) [A Method for Calculation of
Characteristic Exponents of the Mathiew
Differential Equation. II] . . . . . . . 1--7
P. Wynn A comparison technique for the numerical
transformation of slowly convergent
series based on the use of rational
functions . . . . . . . . . . . . . . . 8--14
Hans Schneider and
W. Gilbert Strang Comparison Theorems for Supremum Norms 15--20
P. Treuenfels Schranken für Lösungen von
Randwertaufgaben. (German) [Bounds for
Solution of Boundary Value Problems] . . 21--23
Peter Henrici Bounds for Iterates, Inverses, Spectral
Variation and Fields of Values of
Non-Normal Matrices . . . . . . . . . . 24--39
Jim Douglas, Jr. Alternating direction methods for three
space variables . . . . . . . . . . . . 41--63
F. W. Schäfke and
H. Groh Zur Berechnung der Eigenwerte der
Mathieuschen Differentialgleichung.
(German) [Toward Computation of
Eigenvalues of the Mathieu Differential
Equation] . . . . . . . . . . . . . . . 64--67
R. D. Richtmyer and
Marjorie Devaney and
N. Metropolis Continued fraction expansions of
algebraic numbers . . . . . . . . . . . 68--84
E. Frank On continued fraction expansions for
binomial quadratic surds . . . . . . . . 85--95
J. Douglas, Jr. and
B. F. Jones, Jr. Numerical methods for
integrodifferential equations of
parabolic and hyperbolic types . . . . . 96--102
F. L. Bauer On the field of values subordinate to a
norm . . . . . . . . . . . . . . . . . . 103--113
Betty Jane Stone Best Possible Ratios of Certain Matrix
Norms . . . . . . . . . . . . . . . . . 114--116
Walter Gautschi On Inverses of Vandermonde and Confluent
Vandermonde Matrices . . . . . . . . . . 117--123
E. W. Cheney and
H. L. Loeb On rational Chebyshev approximation . . 124--127
Frank Harary A graph theoretic approach to matrix
inversion by partitioning . . . . . . . 128--135
Hirofumi Morimoto Stability in the wave equation coupled
with heat flow . . . . . . . . . . . . . 136--145
A. A. Goldstein Cauchy's method of minimization . . . . 146--150
Wolfgang Lindenberg Über eine Darstellung von
Gruppenelementen in digitalen
Rechenautomaten. (German) [On a
representation of group elements in
computers] . . . . . . . . . . . . . . . 151--153
Helmut Werner Ein Satz über diskete
Tschebyscheff-Approximation bei
gebrochen linearer Funktionen. (German)
[A proposition on the discrete Chebyshev
approximation of broken linear
functions] . . . . . . . . . . . . . . . 154--157
J. Stoer and
C. Witzgall Transformations by Diagonal Matrices in
a Normed Space . . . . . . . . . . . . . 158--171
C. Pearcy On convergence of alternating direction
procedures . . . . . . . . . . . . . . . 172--176
R. C. Buck Stochastic ascent . . . . . . . . . . . 177--186
J. Greenstadt Some numerical experiments in
triangularizing matrices . . . . . . . . 187--195
J. Albrecht Fehlerschranken und
Konvergenzbeschleunigung bei einer
monotonen oder alternierenden
Iterationsfolge. (German) [Error Bounds
and Convergence Acceleration with a
Monotone or Alternating Iteration
Sequence] . . . . . . . . . . . . . . . 196--208
T. S. Chow and
H. W. Milnes Solution of Laplace's equation by
boundary contraction over regions of
irregular shape . . . . . . . . . . . . 209--225
W. Uhlmann Über den Fehler bei Differenzenverfahren
für die Poissonsche
Differentialgleichung. (German) [On the
Bound of Difference Method for Poisson
Differential Equation] . . . . . . . . . 226--237
J. F. Benders Partitioning procedures for solving
mixed-variables programming problems . . 238--252
R. F. Albrecht and
W. Urich Numerical treatment of the initial value
problem for systems of quasilinear
partial differential equations of first
order . . . . . . . . . . . . . . . . . 253--261
Johannes C. C. Nitsche Über die Abhängigkeit der
Tschebyscheffschen Approximierenden
einer differenzierbaren Funktion vom
Intervall. (German) [On the relation of
Chebyshev approximations for a
differentiable interval function] . . . 262--276
Seymour V. Parter Stability, convergence, and
pseudo-stability of finite-difference
equations for an over-determined problem 277--292
Seymour V. Parter An observation on the numerical solution
of difference equations and a theorem of
Szegö . . . . . . . . . . . . . . . . . . 293--295
J. H. Wilkinson Note on the quadratic convergence of the
cyclic Jacobi process . . . . . . . . . 296--300
Jim Douglas, Jr. A correction to my paper ``Alternating
direction iteration for mildly nonlinear
elliptic difference equations'' . . . . 301--302
Evelyn Frank On continued fraction expansion for
binomial quadratic surds. II . . . . . . 303--309
Friedrich Wilhelm Schäfke and
Helmut Groh Zur Berechnung der Eigenwerte der
Sphäroiddifferentialgleichung. (German)
[On the Calculation of the Eigenvalues
of the Spheroidal Differential Equation] 310--312
J. H. Bramble and
B. E. Hubbard On the formulation of finite difference
analogues of the Dirichlet problem for
Poisson's equation . . . . . . . . . . . 313--327
Walter L. Wilson, Jr. $d$-minimal surfaces spanning polygons
in $E_n$ by solving a linear system . . 328--329
L. C. Hsu On the numerical integration of
non-periodic functions of several
variables . . . . . . . . . . . . . . . 330--335
C. Brenner and
J. L. Brenner The popularity of small integers as
primitive roots . . . . . . . . . . . . 336--342
Chandler Davis The norm of the Schur product operation 343--344
T. J. Rivlin Polynomials of best uniform
approximation to certain rational
functions . . . . . . . . . . . . . . . 345--349
Marvin Marcus An inequality connecting the
$P$-condition number and the determinant 350--353
J. H. Wilkinson Householder's method for symmetric
matrices . . . . . . . . . . . . . . . . 354--361
J. H. Wilkinson Calculation of the eigenvalues of a
symmetric tridiagonal matrix by the
method of bisection . . . . . . . . . . 362--367
J. H. Wilkinson Calculation of the eigenvectors of a
symmetric tridiagonal matrix by inverse
iteration . . . . . . . . . . . . . . . 368--376
R. Zurmühl Bemerkungen zum Verfahren von
Hessenberg. (German) [Remark on a Method
of Hessenberg] . . . . . . . . . . . . . 377--380
H. E. Salzer Equally-weighted formulas for numerical
differentiation . . . . . . . . . . . . 381--392
Klaus Wohlfahrt Über die Berechnung der
Periodenverhältnisse elliptischer
Gebilde. (German) [On the Calculation of
the Relationship of the Periods of
Elliptic Structures] . . . . . . . . . . 393--397
H. Nagler On a property of simplex tableaux in the
transportation problem . . . . . . . . . 398--402
C. W. Clenshaw and
G. F. Miller and
M. Woodger Algorithms for special functions. I . . 403--419
P. Naur and
J. W. Backus and
F. L. Bauer and
J. Green and
C. Katz and
J. McCarthy and
A. J. Perlis and
H. Rutishauser and
K. Samelson and
B. Vauquois and
J. H. Wegstein and
A. van Wijngaarden and
M. Woodger Revised report on the algorithmic
language ALGOL 60 . . . . . . . . . . . 420--453
G. Neubauer Eine empirische Untersuchung zur
Mertensschen Funktion. (German) [An
Empirical Investigation of the Merten
Function] . . . . . . . . . . . . . . . 1--13
G. Meinardus Über eine Verallgemeinerung einer
Ungleichung von L. V. Kantorowitsch.
(German) [On a Generalization of an
Inequation of L. V. Kantorowitsch] . . . 14--23
H-O. Kreiss Über implizite Differenzmethoden für
partielle Differentialgleichungen.
(German) [On Implicit Difference Methods
for Partial Differential Equations] . . 24--47
H. Rutishauser Ausdehnung des Rombergschen Prinzips.
(German) [Extension of the Romberg
Principle] . . . . . . . . . . . . . . . 48--54
R. Sauer Differenzenverfahren für hyperbolische
Anfangswertprobleme bei mehr als zwei
unabhängigen Veränderlichen mit Hilfe von
Nebencharakteristiken. (German)
[Difference Method for Hyperbolic
Initial Value Problems in More than Two
Independent Variables with the Aid of
Secondary Characteristics] . . . . . . . 55--67
Georg Aumann Über den Vergleichsfaktor bei linearen
Approximationsproblemen. (German) [On
the Comparison Factor for Linear
Approximation Problems] . . . . . . . . 68--72
F. L. Bauer Optimally Scaled Matrices . . . . . . . 73--87
G. W. Struble Orthogonal polynomials: Variable-signed
weight functions . . . . . . . . . . . . 88--94
H. Rutishauser Stabile Sonderfälle des
Quotienten-Differenzen-Algorithmus.
(German) [Stable Special Cases of the
Quotient-Difference Algorithm] . . . . . 95--112
E. Frank On continued expansions for binomial
quadratic surds. III . . . . . . . . . . 113--117
D. G. Aronson On the stability of certain finite
difference approximations to parabolic
systems of differential equations . . . 118--137
J. P. Imhof On the method for numerical integration
of Clenshaw and Curtis . . . . . . . . . 138--141
N. Gastinel Sur-decomposition de normes générales et
procédés iteratifs. (French) [Super
Decomposition of Generalized Norms and
Iterative Procedures] . . . . . . . . . 142--151
M. S. Lynn Some infra-max bounds for the spectral
radii of splittings of ${H}$-matrices 152--174
J. Douglas, Jr. and
C. M. Pearcy On convergence of alternating direction
procedures in the presence of singular
operators . . . . . . . . . . . . . . . 175--184
J. Descloux Bounds for the spectral norm of
functions of matrices . . . . . . . . . 185--190
T. Ginsburg The conjugate gradient method . . . . . 191--200
T. I. Seidman On the stability of certain difference
schemes . . . . . . . . . . . . . . . . 201--210
James M. Ortega An Error Analysis of Householder's
Method for the Symmetric Eigenvalue
Problem . . . . . . . . . . . . . . . . 211--225
G. Haemmerlin Über ableitungsfreie Schranken für
Quadraturfehler. (German) [On
Derivative-Free Bounds for Quadrature
Error] . . . . . . . . . . . . . . . . . 226--233
A. S. Householder and
J. A. Carpenter The singular values of involutory and of
idempotent matrices . . . . . . . . . . 234--237
A. Weinstein On the Sturm-Liouville theory and the
eigenvalues of intermediate problems . . 238--245
N. J. Lehmann Optimale Eigenwerteinschliessungen.
(German) [Optimal Eigenvalue Inclusion] 246--272
H. Rutishauser and
H. R. Schwarz The $LR$ transformation method for
symmetric matrices . . . . . . . . . . . 273--289
D. G. Aronson A Correction to the Paper ``On the
stability of certain finite difference
approximations to parabolic systems of
differential equations'' [Num. Math. \bf
5, 118--137 (1963)] . . . . . . . . . . 290--290
D. J. Hofsommer and
R. van de Riet On the numerical calculation of elliptic
integrals of the first and second kind
and the elliptic functions of Jacobi . . 291--302
A. Schönhage Optimale Punkte für Differentiation und
Integration. (German) [Optimal Points
for Differentiation and Integration] . . 303--331
P. Wynn Note on a converging factor for a
certain continued fraction . . . . . . . 332--352
Willi Toernig Über Differenzverfahren in
Rechteckgittern zur numerischen Lösung
quasilinearer hyperbolischer
Differentialgleichungen. (German) [On
the Difference Method in Rectangular
Grid for the Numerical Solution of
Quasilinear Hyperbolic Differential
Equations] . . . . . . . . . . . . . . . 353--370
J. Stoer Duality in nonlinear programming and the
minimax theorem . . . . . . . . . . . . 371--379
W. Börsch-Supan A Posteriori Error Bounds for the Zeros
of Polynomials . . . . . . . . . . . . . 380--398
H. J. Stetter Maximum bounds for the solutions of
initial value problems for partial
difference equations . . . . . . . . . . 399--424
Walter Gautschi On Inverses of Vandermonde and Confluent
Vandermonde Matrices. II . . . . . . . . 425--430
R. Zurmühl Zur angenäherten ganzrationalen
Tschebyscheff-Approximation mit Hilfe
trigonometrischer Interpolation.
(German) [Toward Approximate Fairly
Rational Chebyshev Approximation with
the Aid of Trigonometric Interpolation] 1--5
R. Bulirsch Bemerkungen zur Romberg-Integration.
(German) [Remark on Romberg Integration] 6--16
J. Eve The evaluation of polynomials . . . . . 17--21
P. Wynn General purpose vector epsilon algorithm
ALGOL procedures . . . . . . . . . . . . 22--36
G. Strang Accurate partial difference methods. II:
Non-linear problems . . . . . . . . . . 37--46
A. A. Goldstein and
R. B. Kripke Mathematical Programming by Minimizing
Differentiable Functions . . . . . . . . 47--48
J. H. Bennett Integral equation methods for transport
problems. Some numerical results . . . . 49--54
J. Stoer Über einen Dualitätssatz der nichtlinearen
Programmierung. (German) [On a duality
theorem of nonlinear programming] . . . 55--58
T. Tsuda and
T. Kiyono Application of the Monte Carlo method to
systems of nonlinear algebraic equations 59--67
H. E. Salzer Divided differences for functions of two
variables for irregularly spaces
arguments . . . . . . . . . . . . . . . 68--77
Jochen W. Schmidt Ausgangsvektoren für monotone Iterationen
bei linearen Gleichungsystemen. (German)
[Starting vectors for monotone
iterations of linear equation systems] 78--88
J. Patry and
J. Keller Zur Berechnung des Fehlerintegrals.
(German) [Toward the Computation of
Error Integrals] . . . . . . . . . . . . 89--97
A. W. Marshall and
I. Olkin Inclusion theorems for eigenvalues from
probability inequalities . . . . . . . . 98--102
Bernard R. Kripke Best approximation with respect to
nearby norms . . . . . . . . . . . . . . 103--105
L. A. Hageman and
R. S. Varga Block iterative methods for cyclically
reduced matrix equations . . . . . . . . 106--119
B. R. Heap and
M. S. Lynn The index of primitivity of a
non-negative matrix . . . . . . . . . . 120--141
G. J. Tee An application of $p$-cyclic matrices,
for solving periodic parabolic problems 142--159
L. Bittner Über ein mehrstufiges Iterationsverfahren
zur Lösung von linearen Gleichungen.
(German) [On a More Layered Iteration
Method for Solution of Linear Equations] 161--180
J. E. Gunn The numerical solution of $\nabla\cdot
a\nabla u = f$ by a semi-explicit
alternating-direction iterative
technique . . . . . . . . . . . . . . . 181--184
R. Lynch and
J. Rice and
D. Thomas Direct solution of partial difference
equations by tensor product methods . . 185--199
D. Suschowk Difference analogues of Green's
identities for grids in $R^n$ . . . . . 200--210
F. Briones On the alternants appearing in
Chebyshev's best approximation problem 211--223
Rainer Ansorge Zur Struktur gewisser
Konvergenzkriterien bei der numerischen
Lösung von Anfangswertaufgaben. (German)
[On the structure of some convergence
criteria for numerical solving of
certain initial value problems] . . . . 224--234
B. Boehm Functions whose best rational Chebyshev
approximation are polynomials . . . . . 235--242
J. E. Gunn On the two-stage iterative method of
Douglas for mildly non-linear elliptic
difference equations . . . . . . . . . . 243--249
J. B. Rosen Primal partition programming for block
diagonal matrices . . . . . . . . . . . 250--260
D. C. Handscomb Remarks on a Monte Carlo integration
method . . . . . . . . . . . . . . . . . 261--268
C. G. Broyden Some generalisations of the theory of
successive over-relaxation . . . . . . . 269--284
A. Mitchell and
G. Fairweather Improved forms of the alternating
direction methods of Douglas, Peaceman,
and Rachford for solving parabolic and
elliptic equations . . . . . . . . . . . 285--292
Ch.L. Lawson Characteristic properties of the
segmented rational minmax approximation
problem . . . . . . . . . . . . . . . . 293--301
J. Stoer On the characterization of least upper
bound norms in matrix space . . . . . . 302--314
H. Wilf Exactness conditions in numerical
quadrature . . . . . . . . . . . . . . . 315--319
Siegfried Filippi Angenäherte Tschebyscheff-Approximation
einer Stammfunktion des Verfahrens von
Clenshaw und Curtis. (German) [Chebyshev
Approximation of a Primitive Function of
the Clenshaw-Curtis Methods] . . . . . . 320--328
A. G. Azpeitia and
D. J. Dickinson A decision rule in the simplex method
that avoids cycling . . . . . . . . . . 329--331
A. Schneider Bemerkungen zur numerischen
Differentiation. (German) [Remark on
numerical differentiation] . . . . . . . 332--334
M. Buchmann A condition for uniform Jordanization of
a family of triangular matrices . . . . 335--345
B. R. Heap and
M. S. Lynn A graph-theoretic algorithm for the
solution of a linear Diophantine problem
of Frobenius . . . . . . . . . . . . . . 346--354
N. Nirschl and
H. Schneider The Bauer fields of values of a matrix 355--365
R. S. Varga On smallest isolated Gerschgorin disks
for eigenvalues . . . . . . . . . . . . 366--376
P. Lancaster On eigenvalues of matrices dependent on
a parameter . . . . . . . . . . . . . . 377--387
P. Lancaster Algorithms for lambda-matrices . . . . . 388--394
H. J. Weinitschke Über eine Klasse von Iterationsverfahren.
(German) [On a Class of Iteration
Methods] . . . . . . . . . . . . . . . . 395--404
W. Oettli and
W. Prager Compatibility of Approximate Solution of
Linear Equations With Given Error Bounds
for Coefficients and Right-Hand Sides 405--409
L. Gerhards and
W. Lindenberg Ein Verfahren zur Berechnung des
vollständigen Untergruppenverbandes
endlicher Gruppen auf Dualmaschinen.
(German) [A Method for Calculation of
the Complete Collection of Subgroups of
Finite Groups from Dual Machines] . . . 1--10
H. Schneider Positive operators and an inertia
theorem . . . . . . . . . . . . . . . . 11--17
H. J. Stetter Asymptotic expansions for the error of
discretization algorithms for non-
linear functional equations . . . . . . 18--31
Dietrich Braess Monotone Iterationsfolgen bei
Gleichungssystemen mit fehlerhaften
Koeffizienten und
Iterationsbeschleunigung. (German)
[Monotone Iteration Sequences for
Equation Systems with Coefficients
Having Errors, and Iteration
Acceleration] . . . . . . . . . . . . . 32--41
S. Bergmann and
John G. Herriot Numerical solution of boundary-value
problems by the method of integral
operators . . . . . . . . . . . . . . . 42--65
J. S. Maybee Some structural theorems for partial
difference operators . . . . . . . . . . 66--72
G. W. Hedstrom The near-stability of the Lax-Wendroff
method . . . . . . . . . . . . . . . . . 73--77
R. Bulirsch Numerical calculation of elliptic
integrals and elliptic functions . . . . 78--90
K. Miller Numerical analogs to the Schwarz
alternating procedure . . . . . . . . . 91--103
N. Metropolis Algorithms in unnormalized arithmetic.
I: Recurrence relations . . . . . . . . 104--112
S. V. Parter Mildly nonlinear elliptic partial
differential equations and their
numerical solution. I . . . . . . . . . 113--128
D. Greenspan and
S. V. Parter Mildly nonlinear elliptic partial
differential equations and their
numerical solution. II . . . . . . . . . 129--146
D. Marsal Eine Verallgemeinerung der Summenformel
von Euler und ihre Anwendung auf
ausgewählte Probleme der numerischen
Integration. (German) [A Generalization
of Euler's Summation Formula and its Use
for Selected Problems of Numerical
Integration] . . . . . . . . . . . . . . 147--154
M. R. Osborne A note on the numerical solution of a
periodic parabolic problem . . . . . . . 155--158
A. L. Roark and
G. M. Wing A method for computing the eigenvalues
of certain integral equations . . . . . 159--170
J. Todd On smallest isolated Gerschgorin disks
for eigenvalues . . . . . . . . . . . . 170--175
Bruno Brosowski Über die Eindeutigkeit der rationalen
Tschebyscheff-Approximationen. (German)
[On the uniqueness of rational Chebyshev
approximations] . . . . . . . . . . . . 176--186
B. Parlett Convergence of the $QR$ algorithm . . . 187--193
G. F. Miller Algorithms for special functions. II . . 194--196
A. M. Garsia Some bounds on best uniform linear
approximation . . . . . . . . . . . . . 197--205
G. H. Golub Numerical Methods for Solving Linear
Least Squares Problems . . . . . . . . . 206--216
J. M. Bennett Triangular factors of modified matrices 217--221
H. P. Kuenzi and
H. Tzschach The duoplex-algorithm . . . . . . . . . 222--225
B. R. Heap and
M. S. Lynn On a linear Diophantine problem of
Frobenius: an improved algorithm . . . . 226--231
Guenther Haemmerlin Über ableitungsfreie Schranken für
Quadraturfehler. II: Ergänzungen und
Möglichkeiten zur Verbesserung. (German)
[On constraints without derivatives for
quadrature errors. II: Completions and
possibilities to improve] . . . . . . . 232--237
J. A. Cochran The zeros of Hankel functions as
functions of their order . . . . . . . . 238--250
J. Focke Über die Multiplikativität von
Matrizennormen. (German) [On the
Multiplicability of Matrix Norms] . . . 251--254
N. Gastinel Propriétés de certains ensembles normes de
matrices. (French) [Properties of
Certain Matrix Norm Ensembles] . . . . . 255--260
W. P. Timlake An extension of the ${\Sigma}^2$
procedure . . . . . . . . . . . . . . . 261--268
Peter A. Businger and
Gene H. Golub Linear Least Squares Solutions by
Householder Transformations . . . . . . 269--276
Manfred Reimer Eine Fehlerabschätzung für lineare
Differenzenverfahren. (German) [An error
bound for linear difference methods] . . 277--285
H. Greenspan and
W. Hafner and
M. Ribaric On varying stepsize in numerical
integration of first order differential
equations . . . . . . . . . . . . . . . 286--291
T. L. Hayden Continued fraction approximation to
functions . . . . . . . . . . . . . . . 292--309
G. Nemeth Chebyshev expansions for Fresnel
integrals . . . . . . . . . . . . . . . 310--312
V. Klee A class of linear programming problems
requiring a large number of iterations 313--321
A. Ralston Rational Chebyshev approximation by
Remes' algorithms . . . . . . . . . . . 322--330
F. L. Bauer An elementary proof of the Hopf
inequality for positive operators . . . 331--337
F. L. Bauer Elimination with Weighted Row
Combinations for Solving Linear
Equations and Least Squares Problems . . 338--352
R. Bulrisch Numerical calculation of elliptic
integrals and elliptic functions. II . . 353--354
R. S. Martin and
J. H. Wilkinson Symmetric Decomposition of Positive
Definite Band Matrices . . . . . . . . . 355--361
R. S. Martin and
G. Peters and
J. H. Wilkinson Symmetric Decomposition of a Positive
Definite Matrix . . . . . . . . . . . . 362--383
R. E. Barnhill Complex quadratures with remainders of
minimum norm . . . . . . . . . . . . . . 384--390
A. A. Goldstein On Newton's method . . . . . . . . . . . 391--393
A. L. Roark and
L. F. Shampine On paper of Roark and Wing . . . . . . . 394--395
Bruno Brosowski Über Extremalsignaturen linearer Polynome
in $n$ Veränderlichen. (German) [On the
extremal signature of linear polynomials
in $n$ variables] . . . . . . . . . . . 396--405
F. J. Smith Quadrature methods based on the
Clenshaw-Curtis method of integration 406--411
H. B. Keller On the accuracy of finite difference
approximations to the eigenvalues of
differential and integral operators . . 412--419
S. M. Shah and
P. Suryanarayana Approximation of continuous functions by
power series with polynomial
coefficients . . . . . . . . . . . . . . 420--425
John R. Rice On the Conditioning of Polynomial and
Rational Forms . . . . . . . . . . . . . 426--435
R. Bulirsch and
J. Stoer Numerical treatment of ordinary
differential equations by extrapolation
methods . . . . . . . . . . . . . . . . 1--13
J. Legras Résolution numérique des grands syst\`emes
différentiels linéaires. (French)
[Numerical Solution of Large Systems of
Linear Differentials] . . . . . . . . . 14--28
B. Dejon Stronger than uniform convergence of
multistep difference methods . . . . . . 29--41
N. J. Lehmann Zur Verwendung optimaler
Eigenwerteingrenzungen bei der Lösung
symmetrischer Matrizenaufgaben. (German)
[On the Use of Optimal Eigenvalue
Enclosure for the Solution of Symmetric
Matrix Problems] . . . . . . . . . . . . 42--55
Bui Trong Lieu and
P. Huard La méthode des centres dans un espace
topologique. (French) [The Method of
Centers in a Topological Space] . . . . 56--67
F. W. Schaefke and
D. Schmidt Ein Verfahren zur Berechnung des
charakteristischen Exponenten der
Mathieuschen Differentialgleichung. III.
(German) [A Method for Computation of
the Characteristic Exponent of Mathieu'
Differential Equation. III] . . . . . . 68--71
Dennis J. Mueller Householder's Method for Complex
Matrices and Hermitian Matrices . . . . 72--92
Roland Bulirsch and
Josef Stoer Asymptotic upper and lower bounds for
results of extrapolation methods . . . . 93--104
Jochen W. Schmidt Asymptotische Einschließung bei
konvergenzbeschleunigenden Verfahren.
(German) [Asymptotic bounds for
convergence accelerating methods] . . . 105--113
B. R. Heap Random matrices and graphs . . . . . . . 114--122
Boro Döring Inverse Interpolation bei den speziellen
Funktionen der mathematischen Physik.
(German) [Inverse interpolation in the
special functions of mathematical
physics] . . . . . . . . . . . . . . . . 123--136
A. R. Gourlay and
A. R. Mitchell Alternating direction methods for
hyperbolic systems . . . . . . . . . . . 137--149
F. Stenger Bounds on the error of Gauss-type
quadratures . . . . . . . . . . . . . . 150--160
M. N. Spijker Convergence and stability of
step-by-step methods for the numerical
solution of initial-value problems . . . 161--177
Rainer Ansorge Zur Frage der Verallgemeinerung des
Äquivalenzsatzes von Lax. (German) [On
the Question of Generalization of the
Lax Equivalence Principles] . . . . . . 178--185
O. B. Widlund Stability of parabolic difference
schemes in the maximum norm . . . . . . 186--202
R. S. Martin and
G. Peters and
J. H. Wilkinson Iterative Refinement of the Solution of
a Positive Definite System of Equations 203--216
H. J. Bowdler and
R. S. Martin and
G. Peters and
J. H. Wilkinson Solution of Real and Complex Systems of
Linear Equations . . . . . . . . . . . . 217--234
H. J. Stetter Numerical approximation of
Fourier-transforms . . . . . . . . . . . 235--249
J. D. Lambert and
B. Shaw A generalisation of multistep methods
for ordinary differential equations . . 250--263
P. Wynn Upon systems of recursions which obtain
among the quotients of the Padé table . . 264--269
K. G. Guderley and
P. J. Nikolai Reduction of two-point boundary value
problems in a vector space to initial
value problems by projection . . . . . . 270--289
I. O. Kerner Ein Gesamtschrittverfahren zur
Berechnung der Nullstellen von
Polynomen. (German) [A Complete Step
Method for the Computation of Zeros of
Polynomials] . . . . . . . . . . . . . . 290--294
I. Barrodale and
A. Young Algorithms for best $L_1$ and $L_\infty$
linear approximations on a discrete set 295--306
C. G. Broyden and
F. Ford An algorithm for the solution of certain
kinds of linear equations . . . . . . . 307--323
T. Yamamoto A computational method for the dominant
root of a nonnegative irreducible matrix 324--333
G. Haemmerlin Zur Abschätzung von Quadraturfehlern für
analytische Funktionen. (German) [On
Bounds for Quadrature Error for Analytic
Funktions] . . . . . . . . . . . . . . . 334--344
J. Meinguet Methods for estimating the remainder in
linear rules of approximation.
Application to the Romberg algorithm . . 345--366
A. R. Gourlay and
A. R. Mitchell A stable implicit difference method for
hyperbolic systems in two space
variables . . . . . . . . . . . . . . . 367--375
V. Pereyra On improving an approximate solution of
a functional equation by deferred
corrections . . . . . . . . . . . . . . 376--391
R. Gorenflo and
Y. Kovetz Solution of an Abel-type integral
equation in the presence of noise by
quadratic programming . . . . . . . . . 392--406
W. S. Rudert and
H. G. Lill Über Partitionen und ein lineares
diophantisches Problem. (German) [On
partitions and a linear Diophantine
problem] . . . . . . . . . . . . . . . . 407--411
J. Ponstein Splitting certain eigenvalue/eigenvector
problems . . . . . . . . . . . . . . . . 412--421
W. W. Clendenin A method for numerical calculation of
Fourier integrals . . . . . . . . . . . 422--436
T. A. Porsching Diagonal similarity transformations
which isolate Gerschgorin disks . . . . 437--443
B. W. Ninham Generalised functions and divergent
integrals . . . . . . . . . . . . . . . 444--457
J. N. Lyness and
C. B. Moler Van der Monde Systems and Numerical
Differentiation . . . . . . . . . . . . 458--464
W. B. Gragg and
A. S. Householder On a Theorem of König . . . . . . . . . . 465--468
H. Rutishauser The Jacobi method for real symmetric
matrices . . . . . . . . . . . . . . . . 1--10
H. P. M. van Kempen On the convergence of the classical
Jacobi method for real symmetric
matrices with non-distinct eigenvalues 11--18
H. P. M. van Kempen On the quadratic convergence of the
special cyclic Jacobi method . . . . . . 19--22
L. B. Rall Convergence of the Newton process to
multiple solutions . . . . . . . . . . . 23--37
A. H. Stroud Some approximative integration formulas
of degree $3$ for an $n$-dimensional
simplex . . . . . . . . . . . . . . . . 38--45
A. S. Householder Separation theorems for normalizable
matrices . . . . . . . . . . . . . . . . 46--50
M. L. Buchanan and
B. N. Parlett The uniform convergence of matrix powers 51--54
P. Lancaster Error analysis for the Newton-Raphson
method . . . . . . . . . . . . . . . . . 55--68
K. Nickel Über die Notwendigkeit einer
Fehlerschranken-Arithmetik für
Rechenautomaten. (German) [On the Need
for Interval Arithmetic on Computers] 69--79
K. Nickel Die numerische Berechnung der Wurzeln
eines Polynoms. (German) [The Numerical
Computation of Polynomial Roots] . . . . 80--98
J. W. Daniel Correcting approximations to multiple
roots of polynomials . . . . . . . . . . 99--102
H. Rutishauser Bestimmung der Eigenwerte orthogonaler
Matrizen. (German) [Determination of the
Eigenvalues of Orthogonal Matrices] . . 104--108
M. Fiedler Matrix inequalities . . . . . . . . . . 109--119
P. Henrici and
P. Pfluger Truncation error estimates for Stieltjes
fractions . . . . . . . . . . . . . . . 120--138
G. H. Golub and
J. H. Wilkinson Note on the Iterative Refinement of
Least Squares Solution . . . . . . . . . 139--148
Johann Schröder Operator-Ungleichungen und ihre
numerische Anwendung bei
Randwertaufgaben. (German) [Operator
inequalities and their numerical use in
boundary value problems] . . . . . . . . 149--162
M. Fiedler and
S. V. Ptak Some generalizations of positive
definiteness and monotonicity . . . . . 163--172
F. L. Bauer Inclusion sets for roots of polynomials 173--176
W. J. Cody and
J. Stoer Rational Chebyshev approximations using
interpolation . . . . . . . . . . . . . 177--188
F. Robert Recherche d'une $M$-matrice parmi les
minorantes d'un opérateur linéaire.
(French) [Search for an $M$-Matrix among
the Minorants of a Linear Operator] . . 189--199
F. Stenger Error bounds for the evaluation of
integrals by repeated Gauss-type
formulae . . . . . . . . . . . . . . . . 200--213
B. Penkov and
B. Sendov Hausdorffsche Metrik und
Approximationen. (German) [Hausdorff
Metric and Approximations] . . . . . . . 214--226
V. Klee A comparison of primal and dual methods
of linear programming . . . . . . . . . 227--235
James H. Bramble A second order finite difference analog
of the first biharmonic boundary value
problem . . . . . . . . . . . . . . . . 236--249
G. T. Symm An integral equation method in conformal
mapping . . . . . . . . . . . . . . . . 250--258
W. W. Bradbury and
R. Fletcher New Iterative Methods for Solution of
the Eigenproblem . . . . . . . . . . . . 259--267
B. Dejon Addendum to ``stronger than uniform
convergence of multistep difference
methods'' . . . . . . . . . . . . . . . 268--270
R. Bulirsch and
J. Stoer Numerical quadrature by extrapolation 271--278
R. S. Martin and
J. H. Wilkinson Solution of Symmetric and Unsymmetric
Band Equations and the Calculation of
Eigenvectors of Band Matrices . . . . . 279--301
P. Hofmann Asymptotic expansions of the
discretization error of boundary value
problems of the Laplace equation in
rectangular domains . . . . . . . . . . 302--322
J. Oliver Relative error propagation in the
recursive solution of linear recurrence
relations . . . . . . . . . . . . . . . 323--340
M. Urabe Numerical solution of multi-point
boundary value problems in Chebyshev
series. Theory of the method . . . . . . 341--366
B. Shaw Some multistep formulae for special high
order ordinary differential equations 367--378
R. Bulrisch Numerical calculation of the sine,
cosine and Fresnel integrals . . . . . . 380--385
R. S. Martin W. Barth and
J. H. Wilkinson Calculation of the Eigenvalues of a
Symmetric Tridiagonal matrix by the
Method of Bisection . . . . . . . . . . 386--393
P. G. Ciarlet and
M. H. Schultz and
R. S. Varga Numerical methods of high-order accuracy
for nonlinear boundary value problems.
I: One dimensional problem . . . . . . . 394--430
E. Merzrath Direct solution of partial difference
equations . . . . . . . . . . . . . . . 431--436
R. M. Redheffer Bemerkungen über
Differentialungleichungen bei abzählbaren
Ausnahmemengen. (German) [Remark on
Differential Equations for Countable
Sets] . . . . . . . . . . . . . . . . . 437--445
W. R. Hodgkins On the relation between dynamic
relaxation and semi-iterative matrix
methods . . . . . . . . . . . . . . . . 446--451
Dieter Gaier and
John Todd On the rate of convergence of optimal
ADI processes . . . . . . . . . . . . . 452--459
A. H. Stroud Some fifth degree integration formulas
for symmetric regions II . . . . . . . . 460--468
N. Metropolis and
M. L. Stein and
P. R. Stein Stable states of a non-linear
transformation . . . . . . . . . . . . . 1--19
D. Eisen The equivalence of stability and
convergence for finite difference
schemes with singular coefficients . . . 20--29
D. Gries Characterizations of certain classes of
norms . . . . . . . . . . . . . . . . . 30--41
Jochen W. Schmidt and
Hartmut Dressel Fehlerabschätzungen bei
Polynomgleichungen mit dem Fixpunktsatz
von Brouwer. (German) [Error estimates
by polynomial equations with Brouwer's
fixed point estimate] . . . . . . . . . 42--50
Bruno Brosowski and
Henry L. Loeb Zur Eindeutigkeit der rationalen
Tschebyscheff-Approximation an stetig
differenzierbare Funktionen. (German)
[On the uniqueness of rational Chebyshev
approximation of continuous
differentiable functions] . . . . . . . 51--55
G. Fairweather and
A. R. Gourlay and
A. R. Mitchell Some high accuracy difference with a
splitting operator for equations of
parabolic and elliptic type . . . . . . 56--66
P. Keast and
A. R. Mitchell Finite difference solution of the third
boundary problem in elliptic and
parabolic equations . . . . . . . . . . 67--75
M. R. Osborne The numerical solution of a periodic
parabolic problem subject to a nonlinear
boundary condition . . . . . . . . . . . 76--79
W. Walter Bemerkungen zu Iterationsverfahren bei
linearen Gleichungssystemen. (German)
[Remark on Iteration Method for Linear
Equation Systems] . . . . . . . . . . . 80--85
L. D. Pyle A generalized inverse
$\epsilon$-algorithm for constructing
intersection projection matrices, with
applications . . . . . . . . . . . . . . 86--102
S. L. Mehndiratta Symmetry and self-duality in nonlinear
programming . . . . . . . . . . . . . . 103--109
T. Tsuda and
K. Ichida and
T. Kiyono Monte Carlo path-integral calculations
for two-point boundary-value problems 110--116
K. E. Atkinson The solution of non-unique linear
integral equations . . . . . . . . . . . 117--124
J. W. Daniel Convergence of the Conjugate Gradient
Method with Computationally Convenient
Modifications . . . . . . . . . . . . . 125--131
J. F. Maitre Norme composée et norme associée généralisée
d'une matrice. (French) [Composed and
Associative Generalized Matrix Norm] . . 132--141
G. Loizou Bounds for the inequality of Wielandt 142--146
C. B. Dunham Transformed rational Chebyshev
approximation . . . . . . . . . . . . . 147--152
L. Elsner and
R. M. Redheffer Remarks on band matrices . . . . . . . . 153--161
B. Parlett Correction to convergence of the QR
algorithm . . . . . . . . . . . . . . . 163--164
C. W. Cryer On the calculation of the largest
eigenvalue of an integral equation . . . 165--176
C. H. Reinsch Smoothing by spline functions . . . . . 177--183
A. A. Goldstein and
J. F. Price An effective algorithm for minimization 184--189
P. J. Laurent Théor\`emes de caractérisation d'une
meilleure approximation dans un espace
norme et généralisation de l'algorithme de
Remes. (French) [Theorems for
Characterizing the Best Approximation in
a Normed Space and Generalization of the
Remes Algorithm] . . . . . . . . . . . . 190--208
Rainer Ansorge Konvergenz von Mehrschrittverfahren zur
Lösung halblinearer Anfangswertaufgaben.
(German) [Convergence of a multistep
method for solution of half-linear
initial-value problems] . . . . . . . . 209--219
E. Bohl Nichtlineare Aufgaben in halbgeordneten
Räumen. (German) [Nonlinear problems in
half-ordered spaces] . . . . . . . . . . 220--231
R. A. Smith The condition numbers of the matrix
eigenvalue problem . . . . . . . . . . . 232--240
H. Kadner Die numerische Behandlung von
Integralgleichungen nach der
Kollokationsmethode. (German) [The
numerical treatment of integral
equations in the collocation method] . . 241--260
N. J. Lehmann Fehlerschranken für Näherungslösungen bei
Differentialgleichungen. (German) [Error
bounds for approximate solutions of
differential equations] . . . . . . . . 261--288
H. Werner and
J. Stoer and
W. Bommas Rational Chebyshev approximation . . . . 289--306
G. J. Cooper and
E. Gal Single step methods for linear
differential equations . . . . . . . . . 307--315
Victor Pereyra Iterated deferred corrections for
nonlinear operator equations . . . . . . 316--323
J. T. Ryan A sieve method for classifying composite
numbers . . . . . . . . . . . . . . . . 324--326
J. McNamee and
F. Stenger Construction of fully symmetric
numerical integration formulas . . . . . 327--344
M. H. Schultz and
R. S. Varga L-splines . . . . . . . . . . . . . . . 345--369
J. Meinguet Optimal approximation and error bounds
in seminormed spaces . . . . . . . . . . 370--388
J. J. H. Miller On power-bounded operators and operators
satisfying a resolvent condition . . . . 389--396
D. Eisen On the numerical solution of $u_t =
u\sb{rr} +{2\over r} u_r$ . . . . . . . 397--409
Peter Förster Existenzaussagen und Fehlerabschätzungen
bei gewissen nichtlinearen
Randwertaufgaben mit gewöhnlichen
Differentialgleichungen. (German)
[Existence statement and error bounds
for certain nonlinear boundary value
problems with ordinary differential
equations] . . . . . . . . . . . . . . . 410--422
Hanns-Jörg Stoss Ein Verfahren zur Berechnung des
charakteristischen Exponenten der
Differentialgleichung $y'' + (\lambda +
2\lambda1cos\chi + 2\lambda 2 cos 2\chi)
y = 0$. (German) [A procedure for the
computation of the characteristic
exponent of the differential equation
$y'' + (\lambda + 2\lambda1cos\chi +
2\lambda 2 cos 2\chi) y = 0$] . . . . . 423--436
George T. Symm Numerical mapping of exterior domains 437--445
John D. Dixon High speed computation of group
characters . . . . . . . . . . . . . . . 446--450
M. Menzel and
N. Metropolis Algorithms in unnormalized arithmetic
II. Unrestricted polynomial evaluation 451--462
P. J. Eberlein and
J. Boothroyd Solution to the Eigenproblem by a Norm
Reducing Jacobi Type Method . . . . . . 1--12
G. T. McAllister A priori bounds on difference quotients
of solutions to some linear uniformly
elliptic difference equations . . . . . 13--37
P. M. Anselone and
L. B. Rall The solution of characteristic
value-vector problems by Newton's method 38--45
S. Heller On the uniform positivity of a certain
finite difference matrix . . . . . . . . 46--52
Jochen W. Schmidt Asymptotische Einschließung bei
konvergenzbeschleunigenden Verfahren.
II. (German) [Asymptotic enclosure with
convergence acceleration method. II] . . 53--56
G. E. Forsythe On the asymptotic directions of the
$s$-dimensional optimum gradient method 57--76
M. S. Lynn and
W. P. Timlake The numerical solution of singular
integral equations of potential theory 77--98
R. S. Martin and
J. H. Wilkinson Reduction of the Symmetric Eigenproblem
$Ax = \lambda Bx$ and Related Problems
to Standard Form . . . . . . . . . . . . 99--110
V. Pereyra Iterated deferred corrections for
nonlinear boundary value problems . . . 111--125
A. S. Householder Moments and characteristic roots. II . . 126--128
L. Bittner Abschätzungen bei Variationsmethoden mit
Hilfe von Dualitätssätzen. I. (German)
[Bounds of the Variational Method with
the Aid of the Duality Principle. I] . . 129--143
H. N. Müller Zur Eindeutigkeit bei der linearen
Approximation im allgemeinen sowie
Tschebyscheffschen Fall. (German) [On
the Uniqueness of the Linear
Approximation in General as Well as
Chebyshev Cases] . . . . . . . . . . . . 144--150
W. Werner Numerical solution of systems of
quasilinear hyperbolic differential
equations by means of the method of
nebencharacteristics in combination with
extrapolation methods . . . . . . . . . 151--169
H. Kempfert On sign determinations in real algebraic
number fields . . . . . . . . . . . . . 170--174
N. Apostolatos and
U. Kulisch and
R. Krawczyk and
B. Lortz and
K. Nickel and
H. W. Wippermann The algorithmic language Triplex-ALGOL
60 . . . . . . . . . . . . . . . . . . . 175--180
R. S. Martin and
C. Reinsch and
J. H. Wilkinson Householder's tridiagonalization of a
symmetric matrix . . . . . . . . . . . . 181--195
V. Thomee and
B. Westergren Elliptic difference equations and
interior regularity . . . . . . . . . . 196--210
T. Yamamoto On the eigenvalues of compact operators
in a Hilbert space . . . . . . . . . . . 211--219
Werner Krabs Lineare Optimierung in halbgeordneten
Vektorräumen. (German) [Linear
Optimization in Half-Ordered Vector
Spaces] . . . . . . . . . . . . . . . . 220--231
G. Birkhoff and
M. H. Schultz and
R. S. Varga Piecewise Hermite interpolation in one
and two variables with applications to
partial differential equations . . . . . 232--256
R. De Meersman The method of Garabedian . . . . . . . . 257--263
C. Reinsch and
F. L. Bauer Rational $QR$ Transformation with Newton
Shift for Symmetric Tridiagonal Matrices 264--272
A. H. Stroud Some seventh degree integration formulas
for the surface of an $n$-sphere . . . . 273--276
V. Felsch and
J. Neubüser Über ein Programm zu Berechnung der
Automorphismengruppe einer endlichen
Gruppe. (German) [On a Program for
Computation of the Automorphism Group of
a Finite Group] . . . . . . . . . . . . 277--292
H. J. Bowdler and
R. S. Martin and
C. Reinsch and
J. H. Wilkinson The $QR$ and $LR$ Algorithms for
Symmetric Matrices . . . . . . . . . . . 293--306
H. Kschwendt Convergence limits in the Monte Carlo
theory of integral equations . . . . . . 307--314
George Polya Graeffe's method for eigenvalues . . . . 315--319
H. I. Medley and
R. S. Varga On Smallest Isolated Gerschgorin Disks
for Eigenvalues. II . . . . . . . . . . 320--323
J. E. Dennis, Jr. On Newton-like methods . . . . . . . . . 324--330
P. G. Ciarlet and
M. H. Schultz and
R. S. Varga Numerical methods of high-order accuracy
for nonlinear boundary value problems.
II: Nonlinear boundary conditions . . . 331--345
Joachim A. Nitsche Ein Kriterium für die Quasi-Optimalität
des Titzschen Verfahrens. (German) [A
Criterion for the Quasi-Optimality of
Titzche Methods] . . . . . . . . . . . . 346--348
J. Oliver The numerical solution of linear
recurrence relations . . . . . . . . . . 349--360
Helen I. Medley and
Richard S. Varga On Smallest Isolated Gerschgorin Disks
for Eigenvalues. III . . . . . . . . . . 361--369
William B. Gragg Truncation error bounds for
$g$-fractions . . . . . . . . . . . . . 370--379
Wolfgang Wendland Die Behandlung von Randwertaufgaben im
$R_3$ mit Hilfe von Einfach- und
Doppelschichtpotentialen. (German) [The
treatment of boundary-value problems in
${R}_3$ by simple and double blocking
layer potentials] . . . . . . . . . . . 380--404
Albert Bode Matrizielle untere Schranken linearer
Abbildungen und $M$-Matrizen. (German)
[Matrix lower bounds of linear
transformations and ${M}$ Matrices] . .
W. L. Wood On an explicit numerical method for
solving the biharmonic equation . . . . 413--426
Hansgeorg Jeggle Zur Diskretisierung einer Klasse
Fredholmscher Integralgleichungen mit
singulãrem Wert der Ordnung $1$. (German)
[On the discretisation of a class of
Fredholm integral equations with
singular values of order $1$] . . . . . 427--443
U. Kulisch Über reguläre Zerlegungen von Matrizen und
einige Anwendungen. (German) [On Regular
Dismantlings of Stencils and Some
Applications] . . . . . . . . . . . . . 444--449
U. Eckhardt Einige Eigenschaften Wilfscher
Quadraturformeln. (German) [Some
Eigenvalues of the Wilf Quadrature
Formula] . . . . . . . . . . . . . . . . 1--7
C. B. Dunham Transformed rational Chebyshev
approximation. II . . . . . . . . . . . 8--10
J. M. Watt Consistency, Convergence and Stability
of General Discretizations of the
Initial Value Problem . . . . . . . . . 11--22
R. H. Moore Approximations to nonlinear operator
equations and Newton's method . . . . . 23--34
K. P. Hadeler Newton-Verfahren für inverse
Eigenwertaufgaben. (German) [Newton
Method for Inverse Eigenvalue Problems] 35--39
T. Pomentale On discrete rational least squares
approximation . . . . . . . . . . . . . 40--46
C. G. Broyden Some aspects of consistent ordering . . 47--56
Bruno Brosowski and
Josef Stoer Zur rationalen
Tschebyscheff-Approximation
differenzierbarer und analytischer
Funktionen. (German) [On a rational
Chebyshev approximation of
differentiable and analytic functions] 57--65
P. M. Anselone and
P. J. Laurent A general method for the construction of
interpolating or smoothing
spline-functions . . . . . . . . . . . . 66--82
A. W. Marshall and
I. Olkin Scaling of matrices to achieve specified
row and column sums . . . . . . . . . . 83--90
F. L. Bauer Fields of values and Gershgorin disks 91--95
C. Zenger On convexity properties of the Bauer
field of values of a matrix . . . . . . 96--105
J. F. Ma\^\itre Sur une classe de normes et l'analyse a
posteriori d'un syst\`eme linéaire.
(French) [On a Class of Norms and the A
Posteriori Analysis of a Linear System ] 106--110
A. Ghizzetti Procedure for constructing quadrature
formulae on infinite intervals . . . . . 111--119
P. G. Ciarlet and
M. H. Schultz and
R. S. Varga Numerical methods of high-order accuracy
for nonlinear boundary value problems.
III: Eigenvalue problems . . . . . . . . 120--133
R. J. B. Wets and
C. Witzgall Towards an algebraic characterization of
convex polyhedral cones . . . . . . . . 134--138
H. J. Stetter Instability and non-monotonicity
phenomena in discretizations to boundary
value problems . . . . . . . . . . . . . 139--145
J. Stoer Lower bounds of matrices . . . . . . . . 146--158
L. Neckermann and
P. O. Runck Über Approximationseigenschaften
differenzierter Lagrangescher
Interpolationspolynome mit Jacobischen
Abszissen. (German) [On Approximate
Eigenvalues of Differentiated Lagrangian
Interpolation Polynomials with Jacobian
Abscissas] . . . . . . . . . . . . . . . 159--169
A. L. Roark and
L. F. Shampine On the eigenproblem for displacement
integral equations . . . . . . . . . . . 170--179
A. R. Gourlay and
A. R. Mitchell High accuracy A.D.I. methods for
parabolic equations with variable
coefficients . . . . . . . . . . . . . . 180--185
K. M. Brown and
J. E. Dennis, Jr. On Newton-Like Iteration Functions:
General Convergence Theorems and a
Specific Algorithm . . . . . . . . . . . 186--191
M. Atteia Fonctions `spline' définies sur un
ensemble convexe. (French) [Spline
Functions Defined on a Convex Set] . . . 192--210
Peter Forster Bemerkungen zum Iterationsverfahren von
Schulz zur Bestimmung der Inversen einer
Matrix. (German) [Remarks on Schulz's
iterative method for computing the
inverse of a matrix] . . . . . . . . . . 211--214
M. J. M. Bernal and
J. H. Verner On Generalizations of the Theory of
Consistent Orderings for Successive
Over-Relaxation Methods . . . . . . . . 215--222
H. O. Kreiss On the numerical solution of the
spherically symmetric diffusion equation 223--225
M. Manav and
J. Nedoma Finding all vertices of a convex
polyhedron . . . . . . . . . . . . . . . 226--229
W. J. Cody Corrigendum: ``Rational Chebyshev
approximations using interpolation'' . . 230--230
H. R. Schwarz Tridiagonalization of a symmetric band
matrix . . . . . . . . . . . . . . . . . 231--241
W. J. Cody and
W. Fraser and
J. F. Hart Rational Chebyshev approximation using
linear equations . . . . . . . . . . . . 242--251
J. N. Lyness The calculation of Stieltjes integral 252--265
P. G. Ciarlet and
M. H. Schultz and
R. S. Varga Numerical methods of high-order accuracy
for nonlinear boundary value problems.
IV: Periodic boundary conditions . . . . 266--279
M. R. Osborne The numerical solution of a periodic
parabolic problem subject to a nonlinear
boundary condition. II . . . . . . . . . 280--287
A. R. G. Heesterman Special simplex algorithm for
multi-sector problems . . . . . . . . . 288--306
W. Walter Die Linienmethode bei nichtlinearen
parabolischen Differentialgleichungen.
(German) [The Line Method for Nonlinear
Parabolic Differential Equations] . . . 307--321
P. Keast The third boundary value problem for
elliptic equations . . . . . . . . . . . 322--326
S. Karamardian Existence of solutions of certain
systems of nonlinear inequalities . . . 327--334
C. W. Cryer Pivot Size in Gaussian Elimination . . . 335--345
P. A. Businger Matrices Which Can Be Optimally Scaled 346--348
R. S. Martin and
J. H. Wilkinson Similarity Reduction of a General Matrix
to Hessenberg Form . . . . . . . . . . . 349--368
R. S. Martin and
J. H. Wilkinson The Modified $LR$ Algorithm for Complex
Hessenberg Matrices . . . . . . . . . . 369--376
R. S. Martin and
J. H. Wilkinson The Implicit $QL$ Algorithm . . . . . . 377--383
R. E. Barnhill Asymptotic properties of minimum norm
and optimal quadratures . . . . . . . . 384--393
M. Zlamal On the finite element method . . . . . . 394--409
L. F. Shampine Error bounds and variational methods for
nonlinear boundary value problems . . . 410--415
M. Fraser and
N. Metropolis Algorithms in unnormalized arithmetic.
III: Matrix inversion . . . . . . . . . 416--428
G. Loizou On matrices with a checkerboard sign
distribution . . . . . . . . . . . . . . 429--430
H. Noltemeier and
M. Ost Zum Auswahlproblem. (German) [On the
Selection Problem] . . . . . . . . . . . 431--434
J.-J. Goël Construction of basic functions for
numerical utilisation of Ritz's method 435--447
F. L. Bauer Remarks on Optimally Scaled Matrices . . 1--3
H. Rutishauser Computational aspects of F. L. Bauer's
simultaneous iteration method . . . . . 4--13
J. H. Verner The Order of Some Implicit Runge-Kutta
Methods . . . . . . . . . . . . . . . . 14--23
J. H. Verner Einschließungssaätze bei nichtlinearen
gewönlichen Randwertaufgaben und
erzwungene Schwingungen. (German)
[Enclosure Principles for Nonlinear
Ordinary Boundary Value Problems and
Forced Vibrations] . . . . . . . . . . . 24--38
H. Ade Iterationsverfahren höherer Ordnung in
Banach-Räumen. (German) [Iteration
Methods of Higher-Order in Banach
Spaces] . . . . . . . . . . . . . . . . 39--50
P. G. Ciarlet and
M. H. Schultz and
R. S. Varga Numerical methods of high-order accuracy
for nonlinear boundary value problems.
V: Monotone Operator Theory . . . . . . 51--77
Frank Natterer Einschließungen für die großen Eigenwerte
gewönlicher Differentialgleichungen
zweiter und vierter Ordnung. (German)
[Bounds for the large eigenvalues of
second- and fourth-order ordinary
differential equations] . . . . . . . . 78--93
D. Ehresmann Zur Abschätzung des
Bestapproximationsfehlers bei der
Approximation differenzierbarer
Funktionen durch Polynome. (German)
[Toward Approximation of Best
Approximation Errors for the
Approximation of Differentiable
Functions by Polynomials] . . . . . . . 94--100
J. H. Bramble On the convergence of difference
approximations to weak solutions of
Dirichlet's problem . . . . . . . . . . 101--111
H. Werner and
Dietrich Braess Über den Zusammenhang von Interpolation
und diskreter $T$-Approximation mit
rationalen Funktionen. (German) [On the
Coherence of Interpolation and Discrete
$T$ Approximation with Rational
Functions] . . . . . . . . . . . . . . . 112--128
R. S. Anderssen The numerical solution of parabolic
differential equations using variational
methods . . . . . . . . . . . . . . . . 129--145
V. P. Sreedharan Solutions of overdetermined linear
equations which minimize error in an
abstract norm . . . . . . . . . . . . . 146--151
J. E. Osborn A note on a perturbation theorem for the
matrix eigenvalue problem . . . . . . . 152--153
E. Stiefel and
D. G. Bettis Stabilization of Cowell's method . . . . 154--175
D. P. Squier One-step methods for ordinary
differential equations . . . . . . . . . 176--179
F. M. Perrin and
H. S. Price and
R. S. Varga On higher-order numerical methods for
nonlinear two-point boundary value
problems . . . . . . . . . . . . . . . . 180--198
M. R. Osborne and
G. A. Watson On estimating best approximations of
functions defined by differential
equations . . . . . . . . . . . . . . . 199--206
I. Marek On the row sum criterion and the
convergence of some iterative processes 207--216
Rainer Ansorge Konvergenz von Differenzenverfahren für
quasilineare Anfangswertaufgaben.
(German) [Convergence of Difference
Methods for Quasilinear Initial Value
Problems] . . . . . . . . . . . . . . . 217--225
Erich Bohl Über Fehlerabschätzungen bei nichtlinearen
Operatorgleichungen. (German) [On Error
Bounds for Nonlinear Operator Equations] 226--237
L. W. Johnson Uniform approximation of vector-valued
functions . . . . . . . . . . . . . . . 238--244
L. Elsner Bemerkung zu einer Arbeit von Marshall
und Olkin. (German) [Remark on a paper
of Marshall and Olkin] . . . . . . . . . 245--246
M. V. Pattabhiraman and
P. Lancaster Spectral properties of a polynomial
operator . . . . . . . . . . . . . . . . 247--259
Joachim A. Nitsche Verfahren von Ritz und
Spline-Interpolation bei
Sturm-Liouville-Randwertproblemen.
(German) [Ritz methods and spline
interpolation of Sturm-Liouville
boundary value problems] . . . . . . . . 260--265
R. Bulirsch An extension of the
Bartky-transformation to incomplete
elliptic integrals of the third kind . . 266--284
K. P. Hadeler Einige Anwendungen mehrparametriger
Eigenwertaufgaben. (German) [Some Uses
of Extra Parametrized Eigenvalue
Problems] . . . . . . . . . . . . . . . 285--292
B. N. Parlett and
C. Reinsch Balancing a matrix for calculation of
eigenvalues and eigenvectors . . . . . . 293--304
R. Bulirsch Numerical calculation of elliptic
integrals and elliptic functions. III 305--315
J. W. Rainey On comparatively stable
tridiagonalization methods . . . . . . . 316--322
P. Razelos On the accuracy of the analog solution
of heat conduction problems involving
Newtonian cooling . . . . . . . . . . . 323--333
J. Nitsche Interpolation in Sobolevschen
Funktionenräumen. (German) [Interpolation
in Sobolev function spaces] . . . . . . 334--343
H. Dirschmid Bemerkungen zu einer Arbeit von G. Polya
zur Bestimmung der Nullstellen ganzer
Funktionen. (German) [Comment on a work
by G. Polya for Determining Zeros of
Real Functions] . . . . . . . . . . . . 344--348
J. Soukup A method for finding the roots of a
polynomial . . . . . . . . . . . . . . . 349--353
V. Strassen Gaussian Elimination is Not Optimal . . 354--356
J. Davis and
J. J. Jacoby Numerical integration of linear integral
equations with mild discontinuity . . . 357--361
G. W. Stewart Accelerating the orthogonal iteration
for the eigenvectors of a Hermitian
matrix . . . . . . . . . . . . . . . . . 362--376
P. J. Taylor A generalisation of systematic
relaxation methods for consistently
ordered matrices . . . . . . . . . . . . 377--395
A. Hadjidimos On some high accuracy difference schemes
for solving elliptic equations . . . . . 396--403
Erwin H. Bareiss Numerical Solution of Linear Equations
with Toeplitz and Vector Toeplitz
Matrices . . . . . . . . . . . . . . . . 404--424
N. K. Nichols and
L. Fox Generalised consistent ordering and the
optimum successive overrelaxation factor 425--433
Frank Natterer Numerische Behandlung singulärer
Sturm-Liouville-Probleme. (German)
[Numerical treatment of singular
Sturm-Liouville problems] . . . . . . . 434--447
G. T. Symm Conformal mapping of doubly-connected
domains . . . . . . . . . . . . . . . . 448--457
G. W. Stewart Some iterations for factoring a
polynomial . . . . . . . . . . . . . . . 458--471
J. N. Lyness and
C. B. Moler Generalized Romberg methods for
integrals of derivatives . . . . . . . . 1--13
A. van der Sluis Condition Numbers and Equilibration of
Matrices . . . . . . . . . . . . . . . . 14--23
K. H. Hoffman Zur Theorie der nichtlinearen
Tschebyscheff-Approximation mit
Nebenbedingungen. (German) [Toward a
Theory of Nonlinear Chebyshev
Approximation with Constraints] . . . . 24--41
M. Zlamal On some finite element procedures for
solving second order boundary value
problems . . . . . . . . . . . . . . . . 42--48
Ivo Marek and
Richard S. Varga Nested bounds for the spectral radius 49--70
G. D. Taylor Approximation by functions having
restricted ranges: Equality case . . . . 71--78
A. van Wijngaarden and
B. J. Mailloux and
J. E. L. Peck and
C. H. A. Koster Report on the Algorithmic Language ALGOL
68 . . . . . . . . . . . . . . . . . . . 79--218
R. S. Martin and
G. Peters and
J. H. Wilkinson The $QR$ Algorithm for real Hessenberg
matrices . . . . . . . . . . . . . . . . 219--231
P. Eberlein Solution to the complex eigenproblem by
a norm reducing Jacobi type method . . . 232--245
A. van der Sluis Stability of Solutions of Linear
Algebraic Systems . . . . . . . . . . . 246--251
M. A. Jenkins and
J. F. Traub A three-stage variable-shift iteration
for polynomial zeros and its relation to
generalized Rayleigh iteration . . . . . 252--263
W. E. Bosarge, Jr. and
P. L. Falb Infinite dimensional multipoint methods
and the solution of two point boundary
value problems . . . . . . . . . . . . . 264--286
W. Börsch-Supan Residuenabschätzung für
Polynom-Nullstellen mittels
Lagrange-Interpolation. (German)
[Residue Bounds for Polynomial Zeros
through Lagrange Interpolation] . . . . 287--296
C. Davis On a theorem of Yamamoto . . . . . . . . 297--298
A. Schönhage Mehrdimensionale Romberg-Integration.
(German) [Multidimensional Romberg
Integration] . . . . . . . . . . . . . . 299--304
Richard B. Barrar and
Henry L. Loeb On the convergence in measure of
non-linear Chebyshev approximations . . 305--312
K. Lode Zum neuen Norm Entwurf DIN 1333
Abbrechen und Runden von Dezimalzahlen.
(German) [Toward a New Standard Design
DIN 1333 Calculation and Rounding in
Decimal Numbers] . . . . . . . . . . . . 313--316
J. Christiansen Numerical solution of ordinary
simultaneous differential equations of
the $1$st order using a method for
automatic step change . . . . . . . . . 317--324
Tomasz Pietrzykowski The potential method for conditional
maxima in the locally compact metric
spaces . . . . . . . . . . . . . . . . . 325--329
R. B. Guenther and
E. L. Roetman Newton-Cotes formulae in $n$-dimensions 330--345
F. Natterer Schranken für die Eigenwerte gewöhnlicher
Differentialgleichungen durch
Spline-Approximation. (German) [Bounds
for the Eigenvalue of Ordinary
Differential Equations by Spline
Approximation] . . . . . . . . . . . . . 346--354
P. Jamet On the convergence of finite-difference
approximations to one-dimensional
singular boundary-value problems . . . . 355--378
W. Fair and
Y. L. Luke Padé approximations to the operator
exponential . . . . . . . . . . . . . . 379--382
K. H. Hoffmann Nichtlineare Tschebyscheff-Approximation
mit Nebenbedingungen: Anwendungen.
(German) [Nonlinear Chebyshev
Approximation with Constraints: Use] . . 383--393
M. Zlamal A finite element procedure of the second
order of accuracy . . . . . . . . . . . 394--402
G. H. Golub and
C. Reinsch Singular Value Decomposition and Least
Squares Solutions . . . . . . . . . . . 403--420
J. M. Shah Two-dimensional polynomial splines . . . 1--14
Rolf Dieter Grigorieff Die Konvergenz des Rand- und
Eigenwertproblems linearer gewöhnlicher
Differenzengleichungen. (German) [The
convergence of boundary- and eigenvalue
problems of linear difference equations] 15--48
H. Rund The reduction of certain boundary
problems to variational problems by
means of transversality conditions . . . 49--56
A. Ruhe Properties of a matrix with a very
ill-conditioned eigenproblem . . . . . . 57--60
Hanns-Jörg Stoß Monotonie-Eigenschaften bei
Differentialungleichungen über
nichtkompaktem Grundbereich. (German)
[Monotone Eigenvalues of Differential
Equations over Noncompact Fields] . . . 61--73
A. van der Sluis Condition, Equilibration and Pivoting in
Linear Algebraic Systems . . . . . . . . 74--86
P. G. Ciarlet and
F. Natterer and
R. S. Varga Numerical methods of high-order accuracy
for singular nonlinear boundary value
problems . . . . . . . . . . . . . . . . 87--99
J. Schroeder Proving inverse-positivity of linear
operators by reduction . . . . . . . . . 100--108
F. W. Schaefke Zum Anwendungsbereich einiger
Iterationsverfahren. (German) [On the
Application of an Iteration Scheme] . . 109--121
W. Wetterling Definitheitsbedingungen für relative
Extrema bei Optimierungs- und
Approximationsaufgaben. (German)
[Definiteness Conditions for Relative
Extrema in Optimization and
Approximation Problems] . . . . . . . . 122--136
P. J. Laurent and
Pham-Dinh-Tuan Global approximation of a compact set by
elements of a convex set in a normed
space . . . . . . . . . . . . . . . . . 137--150
M. Urabe An implicit one-step method of
high-order accuracy for the numerical
integration of ordinary differential
equations . . . . . . . . . . . . . . . 151--164
H. Ehlich and
W. Haussmann Konvergenz mehrdimensionaler
Interpolation. (German) [Convergence of
Multidimensional Interpolation] . . . . 165--174
Boro Döring Das Tschebyscheff-Verfahren in
Banach-Räumen. (German) [Chebyshev's
method in Banach spaces] . . . . . . . . 175--195
Rolf Dieter Grigorieff Über die Koerzitivität gewönlicher
Differenzenoperatoren und die Konvergenz
von Mehrschrittverfahren. (German) [On
the coerciveness of ordinary difference
operators and the convergence of
multistep methods] . . . . . . . . . . . 196--218
H. H. Schaefer Eine Abschätzung der nichttrivialen
Eigenwerte stochastischer Matrizen.
(German) [An Approximation of Nontrivial
Eigenvalues of Stochastic Matrices] . . 219--223
J. Nitsche Zur Konvergenz von Näherungsverfahren
bezüglich verschiedener Normen. (German)
[On the convergence of approximation
processes with respect to various norms] 224--228
E. Martensen Zur Restglieddartstellung der
Gregoryschen Quadraturformel ungerader
Ordnung. (German) [On the representation
of the remainder of the Gregory
quadrature formula of an odd series] . . 229--233
J. Miklosko Asymptotic properties and the
convergence of numerical quadratures . . 234--249
A. van der Sluis Upperbounds for roots of polynomials . . 250--262
Jochen W. Schmidt and
K. Vetters Ableitsungfreie Verfahren für
nichtlineare Optimierungsprobleme.
(German) [Lossless method for nonlinear
optimization problem] . . . . . . . . . 263--282
A. Zenisek Interpolation polynomials on the
triangle . . . . . . . . . . . . . . . . 283--296
F. W. Stallmann Numerical solution of integral equations 297--305
G. W. Stewart On Samelson's iteration for factoring
polynomials . . . . . . . . . . . . . . 306--314
C. T. H. Baker The error in polynomial interpolation 315--319
E. Rakotch and
J. Steinberg Error estimate for the numerical
solution of Fredholm's integral equation 320--328
K. Graf Finck von Finckenstein Potenzbeschränktheit und Wertebereich
einer Matrix. (German) [Potency
Limitation and Ranges of a Matrix] . . . 329--332
J. N. Lyness and
B. J. J. McHugh On the remainder term in the
$N$-dimensional Euler Maclaurin
expansion . . . . . . . . . . . . . . . 333--344
G. N. de Oliveira Note on an inverse characteristic value
problem . . . . . . . . . . . . . . . . 345--347
D. Marsal Eingabelung der Lösungen von
Integralgleichungen. (German)
[Bifurcation of solutions of integral
equations] . . . . . . . . . . . . . . . 348--350
O. L. Mangasarian A convergent splitting of matrices . . . 351--353
H. A. Luther and
H. G. Sierra On the optimal choice of fourth-order
Runge-Kutta formulas . . . . . . . . . . 354--358
T. R. Lucas A generalization of $L$-splines . . . . 359--370
J. Descloux On the numerical integration of the heat
equation . . . . . . . . . . . . . . . . 371--381
R. B. Barrar and
Henry L. Loeb On the Remez algorithm for non-linear
families . . . . . . . . . . . . . . . . 382--391
G. Lamprecht Über die Abhängigkeit der Fehlerfunktion
bei der rationale $L_p$-Approximation
von den Koeffizienten des Nennerpolynoms
bei minimalem Zählerpolynom. (German) [On
the relation between the error function
with rational $L_p$ approximation and
the coefficients of the denominator
polynomial with minimum numerator
polynomial] . . . . . . . . . . . . . . 392--403
J. Hertling Approximation of piecewise continuous
functions by a modification of piecewise
Hermite interpolation . . . . . . . . . 404--414
G. Zettl Ein Verfahren zum Minimieren einer
Funktion bei eingeschränktem
Variationsbereich der Parameter.
(German) [A method for the minimization
of a function by a limited variation of
parameters] . . . . . . . . . . . . . . 415--432
J. W. Jerome Linear self-adjoint multipoint boundary
value problems and related approximation
schemes . . . . . . . . . . . . . . . . 433--449
A. Dubrulle A short note on the implicit $QL$
algorithm for symmetric tridiagonal
matrices . . . . . . . . . . . . . . . . 450--450
J. L. Howland and
J. A. Senez A constructive method for the solution
of the stability problem . . . . . . . . 1--7
G. Marsaglia Regularities in congruential random
number generators . . . . . . . . . . . 8--10
G. Cenacchi and
A. de Matteis Pseudo-random numbers for comparative
Monte Carlo calculations . . . . . . . . 11--15
J. H. Rowland and
J. A. O'Donnell Some bounds for the deviation and
interpolation points in Chebyshev
approximation . . . . . . . . . . . . . 16--21
R. L. Johnston and
B. T. Smith Calculation of best isolated Gerschgorin
discs . . . . . . . . . . . . . . . . . 22--31
L. Bittner Some representation theorems for
functions and sets and their application
to nonlinear programming . . . . . . . . 32--51
J. W. Daniel A simple, global, complementary
variational principle . . . . . . . . . 52--57
R. Cranley and
T. N. L. Patterson A regression method for the Monte Carlo
evaluation of multidimensional integrals 58--72
E. Deutsch Matricial norms . . . . . . . . . . . . 73--84
R. S. Martin and
C. Reinsch and
J. H. Wilkinson The $QR$ algorithm for band symmetric
matrices . . . . . . . . . . . . . . . . 85--92
P. Jamet and
P. Lascaux and
P. A. Raviart Une méthode de résolution numérique des
équations de Navier-Stokes. (French) [A
method of numerical solution of the
Navier-Stokes equations] . . . . . . . . 93--114
P. G. Ciarlet and
R. S. Varga Discrete variational Green's function 115--128
D. Gaier Saturation bei Spline-Approximation und
Quadratur. (German) [Saturation in
spline approximation and quadrature] . . 129--140
A. S. Householder and
R. S. Varga and
J. H. Wilkinson A note on Gerschgorin's inclusion
theorem for eigenvalues of matrices . . 141--144
R. P. Brent Error Analysis of Algorithms for Matrix
Multiplication and Triangular
Decomposition Using Winograd's Identity 145--156
E. L. Allgower Criteria for positive definiteness of
some band matrices . . . . . . . . . . . 157--162
C. Lebaud L'Algorithm double $QR$ avec $<<$shift$>>$.
(French) [The double $QR$ algorithm with
`shift'] . . . . . . . . . . . . . . . . 163--180
G. Peters and
J. H. Wilkinson Eigenvectors of Real and Complex
Matrices by $LR$ and $QR$
Triangularization . . . . . . . . . . . 181--204
H. Rutishauser Simultaneous iteration method for
symmetric matrices . . . . . . . . . . . 205--223
F. N. Fritsch On the number of nodes in self-contained
integration formulas of degree two for
compact planar regions . . . . . . . . . 224--230
T. S. Chow and
H. W. Milnes Numerical solution of Laplace equation
for annular region . . . . . . . . . . . 231--242
A. Bacopoulos On approximation by sums of Chebyshev
norms . . . . . . . . . . . . . . . . . 243--247
G. H. Meyer On a free interface problem for linear
ordinary differential equations and the
one-phase Stefan problem . . . . . . . . 248--267
A. R. Curtis An eighth order Runge-Kutta process with
eleven function evaluations per step . . 268--277
E. M. Ferreira and
J. Sesma Zeros of the modified Hankel function 278--284
L. Bittner Abschätzungen bei Variationsmethoden mit
Hilfe von Dualitätssätzen. II. (German)
[Bounds of the Variational Method with
the Aid of the Duality Principle. II] 285--303
Alfred Carasso Long-range numerical solution of mildly
non-linear parabolic equations . . . . . 304--321
I. Babu\vska Error-bounds for finite element method 322--333
K. M. Brown and
W. B. Gearhart Deflation techniques for the calculation
of further solutions of a nonlinear
system . . . . . . . . . . . . . . . . . 334--342
I. J. Good and
R. A. Gaskins The centroid method of numerical
integration . . . . . . . . . . . . . . 343--359
P. A. Businger Monitoring the numerical stability of
Gaussian elimination . . . . . . . . . . 360--361
J. H. Bramble and
S. R. Hilbert Bounds for a class of linear functionals
with applications to Hermite
interpolation . . . . . . . . . . . . . 362--369
M. M. Chawla Estimating errors of numerical
approximation for analytic functions . . 370--374
A. S. Householder Generalizations of an algorithm of
Sebastião e Silva . . . . . . . . . . . . 375--382
H. Götze and
F. L. Bauer Robert Sauer, geb. 16.9.1898 -- gest.
22.8.1970. (German) Robert Sauer, born
16.9.1898 -- died 22.8.1970 . . . . . . I--II
N. S. Kambo Error bounds for the Lobatto and Radau
quadrature formulas . . . . . . . . . . 383--388
R. Kreß Ein ableitungsfreies Restglied für die
trigonometrische Interpolation
periodischer analytischer Funktionen.
(German) [A derivative-free residue for
the trigonometric interpolation of
periodic analytic functions] . . . . . . 389--396
W. W. Clendenin A method for numerical quadrature over
an infinite interval using
systematically increasing mesh size . . 397--407
David M. Young A bound for the optimum relaxation
factor for the successive overrelaxation
method . . . . . . . . . . . . . . . . . 408--413
R. H. Bartels A stabilization of the simplex method 414--434
H. I. Medley A note on a paper of Johnston and
Smith's concerning best isolated
Gerschgorin disks . . . . . . . . . . . 435--441
T. Kiyono and
M. Shimasaki Boundary contraction solution of the
Neumann and mixed boundary value
problems of the Laplace equation . . . . 442--450
C. H. Reinsch Smoothing by spline functions. II . . . 451--454
R. B. Leipnik Rapidly convergent recursive solution of
quadratic operator equations . . . . . . 1--16
J. Oliver The efficiency of extrapolation methods
for numerical integration . . . . . . . 17--32
G. Alefeld Anwendungen Des Fixpunktsatzes Für
Pseudometrische Räume In Der
Intervallrechnung. (German) [Application
of the fixed point theorem for
pseudo-metric space to interval
computation] . . . . . . . . . . . . . . 33--39
J. H. Rowland Inequalities for the interpolation
points in Chebyshev approximation by
polynomials . . . . . . . . . . . . . . 40--44
V. Thomee Convergence near plane boundaries of
some elliptic difference schemes . . . . 45--53
A. L. Roark On the eigenproblem for convolution
integral equations . . . . . . . . . . . 54--61
A. N. Willson, Jr. A useful generalization of the $P_0$
matrix concept . . . . . . . . . . . . . 62--70
N. Gastinel Sur l'extension de normes sur des
alg\`ebres de matrices. (French) [On the
Extension of Norms on Matrix Algebras] 71--83
P. G. Ciarlet and
C. Wagschal Multipoint Taylor formulas and
applications to the finite element
method . . . . . . . . . . . . . . . . . 84--100
U. Dieter and
J. Ahrens An exact determination of serial
correlations of pseudo-random numbers 101--123
W. L. Miranker Difference schemes with best possible
truncation error . . . . . . . . . . . . 124--142
I. Kupka Simulation reeller Arithmetik und
reeller Funktionen in endlichen Mengen.
(German) [Simulation of real arithmetic
and real functions in finite sets] . . . 143--152
C. Brezinski Études sur les $\epsilon$- et
$\rho$-algorithmes. (French) [Studies on
$\epsilon$ and $\rho$-algorithms] . . . 153--162
A. Brauer A remark on the paper of H. H. Schaefer,
``Abschätzung der nichttrivialen
Eigenwerte stochastischer Matrizen'' . . 163--165
B. Knauer Untere Schranken für die Eigenwerte
positiv-definiter, selbstadjungierter
Operatoren. (German) [Lower Bounds for
the Eigenvalues of Positive Definite
Selfadjoint Operators] . . . . . . . . . 166--171
Manfred Reimer Untersuchungen über das Wachstrum von
Potenzreihenabschnitten mit Anwendungen
für das Hornerschema. (German)
[Investigations of the growth of
segments of polynomials with
applications to Horner's scheme] . . . . 172--178
T. J. Dekker and
J. F. Traub An analysis of the shifted $LR$
algorithm . . . . . . . . . . . . . . . 179--188
M. H. C. Paardekooper An eigenvalue algorithm for
skew-symmetric matrices . . . . . . . . 189--202
Kunio Tanabe Projection Method for Solving a Singular
System of Linear Equations and its
Applications . . . . . . . . . . . . . . 203--214
L. Wuytack A new technique for rational
extrapolation to the limit . . . . . . . 215--221
N. Gastinel Sur le calcul des produits de matrices.
(French) [Calculation of the product of
matrices] . . . . . . . . . . . . . . . 222--229
J. R. Kuttler A finite-difference approximation for
the eigenvalues of the clamped plate . . 230--238
R. S. Anderssen A stability analysis for the extended
Kantorovich method applied to the
torsion problem . . . . . . . . . . . . 239--246
S. Bergman and
J. G. Herriot Computation of a class of subsonic flow
patterns . . . . . . . . . . . . . . . . 247--252
J. W. Burgmeier and
R. D. Russell and
L. F. Shampine Integral equations with transform
kernels and the eigenproblem KCx= lambda
x . . . . . . . . . . . . . . . . . . . 253--267
W. E. Bosarge, Jr. Iterative continuation and the solution
of nonlinear two-point boundary value
problems . . . . . . . . . . . . . . . . 268--283
N. L. Schryer Newton's method for convex nonlinear
elliptic boundary value problems . . . . 284--300
A. Hadjidimos The numerical solution of a model
problem biharmonic equation by using
extrapolated alternating direction
implicit methods . . . . . . . . . . . . 301--317
F. Chatelin-Laborde Perturbation d'une matrice hermitienne
ou normale. (French) [Perturbation
theory for Hermitian (normal) matrix] 318--337
J. Robert Approximations des espace d'Orlicz et
applications. (French) [Approximations
of Orlicz spaces and their applications] 338--356
D. Braess Chebyshev approximation by spline
functions with free knots . . . . . . . 357--366
B. L. Hulme Piecewise polynomial Taylor methods for
initial value problems . . . . . . . . . 367--381
Takashi Noda Note on the Computation of the Maximal
Eigenvalue of a Non-Negative Irreducible
Matrix . . . . . . . . . . . . . . . . . 382--386
V. P. Sreedharan Least squares algorithms for finding
solutions of overdetermined linear
equations which minimize error in an
abstract norm . . . . . . . . . . . . . 387--401
Frank Natterer Schranken für die Norm der Greenschen
Funktion gewöhnlicher
Differentialoperatoren. (German) [Bounds
for the Norm of the Green's Function of
Ordinary Differential Operators ] . . . 402--408
G. R. Joubert Explicit difference approximations of
the one-dimensional diffusion equation,
using a smoothing technique . . . . . . 409--430
U. Kulisch An axiomatic approach to rounded
computations . . . . . . . . . . . . . . 1--17
G. R. Joubert Explicit Difference Approximations of Du
Fort--Frankel Type for the
One-Dimensional Diffusion Equation . . . 18--25
G. W. Stewart On a companion operator for analytic
functions . . . . . . . . . . . . . . . 26--43
G. Galimberti and
V. Pereyra Solving Confluent Vandermonde Systems of
Hermite Type . . . . . . . . . . . . . . 44--60
S. Hoshino and
K. Ichida Solution of partial differential
equations by a modified random walk . . 61--72
M. N. Spijker On the structure of error estimates for
finite-difference methods . . . . . . . 73--100
J. Hertling Numerical treatment of singular integral
equations by interpolation methods . . . 101--112
Eugen Schäfer Ein Konstruktionsverfahren bei
allgemeiner linearer Approximation.
(German) [A construction method for
general linear approximation] . . . . . 113--126
P. Spellucci Double precision approximations to the
elementary functions using
Jacobi-fractions . . . . . . . . . . . . 127--143
H. E. Salzer Formulas for best extrapolation . . . . 144--153
Mordechai Lewin On exponents of primitive matrices . . . 154--161
G. J. Cooper Error bounds for numerical solutions of
ordinary differential equations . . . . 162--170
R. E. Carlson and
C. A. Hall Ritz approximations to two-dimensional
boundary value problems . . . . . . . . 171--181
E. Deutsch and
C. Zenger Inclusion domains for the eigenvalues of
stochastic matrices . . . . . . . . . . 182--192
T. Pomentale A class of iterative methods for
holomorphic functions . . . . . . . . . 193--203
I. Troch Über die Stabilität der Ruhelage bei
Differentialgleichungen mit
quasihomogenen rechten Seiten. (German)
[On the steady-state stability of
differential equations with
quasi-homogeneous right sides] . . . . . 204--212
A. Auslender Méthodes numériques pour la décomposition
et la minimisation de fonctions non
différentiables. (French) [Numerical
methods for the decomposition and
minimisation of non-differentiable
functions] . . . . . . . . . . . . . . . 213--223
T. J. Dekker A Floating-Point Technique for Extending
the Available Precision . . . . . . . . 224--242
P. M. Prenter Piecewise $L$-splines . . . . . . . . . 243--253
John J. Cannon Computing the ideal structure of finite
semigroups . . . . . . . . . . . . . . . 254--266
B. Einarsson Numerical treatment of
integro-differential equations with a
certain maximum property . . . . . . . . 267--288
K. M. Brown and
J. E. Dennis, Jr. Derivative free analogues of the
Levenberg-Marquardt and Gauss algorithms
for nonlinear least squares
approximation . . . . . . . . . . . . . 289--298
R. F. King Tangent methods for nonlinear equations 298--304
I. Gargantini and
P. Henrici Circular arithmetic and the
determination of polynomial zeros . . . 305--320
G. P. Barker Monotone norms . . . . . . . . . . . . . 321--326
T. Tsuda Numerical differentiation of functions
of very many variables . . . . . . . . . 327--335
N. L. Schryer Solution of monotone nonlinear elliptic
boundary value problems . . . . . . . . 336--344
R. D. Riess and
L. W. Johnson Error estimates for Clenshaw-Curtis
quadrature . . . . . . . . . . . . . . . 345--353
O. Hubner Zweiparametrige Überrelaxation. (German)
[Two parameter overrelaxation] . . . . . 354--366
T. Pietrzykowski A generalization of the potential method
for conditional maxima on the Banach,
reflexive spaces . . . . . . . . . . . . 367--372
W. Gautschi Attenuation factors in practical Fourier
analysis . . . . . . . . . . . . . . . . 373--400
J. Rokne Newton's method under mild
differentiability conditions with error
analysis . . . . . . . . . . . . . . . . 401--412
K. P. Hadeler Bemerkungen zum Gradientenverfahren.
(German) [Remarks on gradient methods] 413--422
Helmut Werner Eine faktorisierung der bei der
rationalen Interpolation auftretenden
Matrizen. (German) [A factorization of
matrices occurring in rational
interpolation] . . . . . . . . . . . . . 423--431
R. A. Sack A fully stable rational version of the
$QR$ algorithm for tridiagonal matrices 432--441
R. Weiss and
R. S. Anderssen A product integration method for a class
of singular first kind Volterra
equations . . . . . . . . . . . . . . . 442--456
W. L. Morris Inclusion theorems for a section of a
matrix . . . . . . . . . . . . . . . . . 457--464
R. A. Sack and
A. F. Donovan An algorithm for Gaussian quadrature
given modified moments . . . . . . . . . 465--478
R. D. Russell and
L. F. Shampine A collocation method for boundary value
problems . . . . . . . . . . . . . . . . 1--28
H. Amann Über die nährungswise Lösung nichtlinearer
Integralgleichungen. (German) [On the
approximate solution of nonlinear
integral equations] . . . . . . . . . . 29--45
R. Askey Positivity of the Cotes numbers for some
Jacobi abscissas . . . . . . . . . . . . 46--48
A. van der Sluis The remainder term in quadrature
formulae . . . . . . . . . . . . . . . . 49--55
G. Alefeld and
J. Herzberger Nullstelleneinschliessung Mit Dem
Newton-Verfahren Ohne Invertierung Von
Intervallmatrizen. (German) [Including
zeros of nonlinear equations by the
Newton method without inverting interval
matrices] . . . . . . . . . . . . . . . 56--64
T. Lyche Chebyshevian multistep methods for
ordinary differential equations . . . . 65--75
J. L. Brenner and
J. de Pillis Partitioned matrices and Seidel
convergence . . . . . . . . . . . . . . 76--80
Gilbert Strang Approximation in the finite element
method . . . . . . . . . . . . . . . . . 81--98
J. J. Blair Error bounds for the solution of
nonlinear two-point boundary value
problems by Galerkin's method . . . . . 99--109
M. P. Carroll Simultaneous $L_1$ approximation of a
compact set of real-valued functions . . 110--115
H. Antes Splinefunktionen bei der Lösung von
Integralgleichungen. (German) [On the
solution of integral equations with
spline functions] . . . . . . . . . . . 116--126
G. Fix and
N. Nassif On finite element approximations to
time-dependent problems . . . . . . . . 127--135
G. Tissier Interpolation \`a plusieurs variables
sur la sph\`ere. (French) [Interpolation
with several variables on the sphere] 136--145
M. v. Golitschek On the convergence of interpolating
periodic spline functions of high degree 146--154
J. G. Pierce and
R. S. Varga Higher order convergence results for the
Rayleigh-Ritz method applied to
eigenvalue problems. II. Improved error
bounds for eigenfunctions . . . . . . . 155--169
R. B. Kellogg On compiles eigenvalues of $M$ and $P$
matrices . . . . . . . . . . . . . . . . 170--175
J. H. Wilkinson Note on matrices with a very
ill-conditioned eigenproblem . . . . . . 176--178
Dieter Gaier Ermittlung des konformen Moduls von
Vierecken mit Differenzenmethoden.
(German) [Determination of the conformal
modules of quadrilaterals by difference
methods] . . . . . . . . . . . . . . . . 179--194
W. A. Beyer and
M. S. Waterman Ergodic computations with continued
fractions and Jacobi's algorithm . . . . 195--205
P. Lancaster A note on sub-multiplicative norms . . . 206--208
Christoph Zenger A comparison of some bounds for the
nontrivial eigenvalues of stochastic
matrices . . . . . . . . . . . . . . . . 209--211
J. Steinberg Numerical solution of Volterra integral
equation . . . . . . . . . . . . . . . . 212--217
K. G. Guderley and
C. L. Keller A basic theorem in the computation of
ellipsoidal error bounds . . . . . . . . 218--229
H. Engels Über Konvergenzkriterien für numerische
Differentiationsverfahren. (German) [On
convergence criteria for numerical
differentiation procedures] . . . . . . 230--237
R. L. Johnston and
D. D. Olesky On the computation of inclusion regions
for partitioned matrices . . . . . . . . 238--247
K. Atkinson The numerical solution of Fredholm
integral equations of the second kind
with singular kernels . . . . . . . . . 248--259
K. P. Hadeler Bemerkungen zu einer Arbeit von W.
Wetterling über positive Operatoren.
(German) [Remarks on a work by W.
Wetterling on positive operators] . . . 260--265
J. W. Dailey and
J. G. Pierce Error bounds for the Galerkin method
applied to singular and nonsingular
boundary value problems . . . . . . . . 266--282
D. A. Field and
W. B. Jones A priori estimates for truncation
error of continued fractions $K(1/b_n)$ 283--302
F. Robert and
J. F. Maitre Normes et algorithmes associés \`a une
découpe de matrice (Itération du principe
de Gauss-Seidel). (French) [Norms and
algorithms associated with a splitting
of matrix (Iteration of the Gauss-Seidel
principle)] . . . . . . . . . . . . . . 303--325
F. Melkes Reduced piecewise bivariate Hermite
interpolations . . . . . . . . . . . . . 326--340
S. M. Robinson Extension of Newton's method to
nonlinear functions with values in a
cone . . . . . . . . . . . . . . . . . . 341--347
B. Bereanu On the convergence of Cartesian
multidimensional quadrature formulae . . 348--350
E. Gekeler Über mehrstufige Iterationsverfahren und
die Lösung der Hammersteinschen
Gleichung. (German) [On several stage
iterative methods and the solution of
the Hammerstein equations] . . . . . . . 351--360
G. A. Kemper Linear multistep methods for a class of
functional differential equations . . . 361--372
D. F. Paget and
D. Elliott An algorithm for the numerical
evaluation of certain Cauchy principal
value integrals . . . . . . . . . . . . 373--385
H. Brown and
J. Neubüser and
H. Zassenhaus On integral groups. I: The reducible
case . . . . . . . . . . . . . . . . . . 386--399
M. Pichat Correction d'une Somme en Arithmétique
\`a Virgule Flottante. (French)
[Correction of a Sum in Floating-Point
Arithmetic] . . . . . . . . . . . . . . 400--406
Peter Forster Die diskrete Greensche Funktion und
Fehlerabschätzungen zum
Galerkin-Verfahren. (German) [Discrete
variational Green's function and error
bounds for Galerkin approximations] . . 407--418
D. B. Hunter Some Gauss-type formulae for the
evaluation of Cauchy principal values of
integrals . . . . . . . . . . . . . . . 419--424
W. Miller On the stability of finite numerical
procedures . . . . . . . . . . . . . . . 425--432
R. Meyer-Spasche A constructive method of solving the
Lyapunov equation for complex matrices 433--438
P. Saint-Pierre Sur la convergence numérique de
différentes méthodes de décomposition pour
une class de probl\`emes elliptiques.
(French) [On the numerical convergence
of different methods of decomposition
for a class of elliptic problems] . . . 439--449
Ivo Babu\vska and
Michael B. Rosenzweig A finite element scheme for domains with
corners . . . . . . . . . . . . . . . . 1--21
H. Brown and
J. Neubüser and
H. Zassenhaus On integral groups. II: The irreducible
case . . . . . . . . . . . . . . . . . . 22--31
Gerhard Schmeisser Optimale Quadraturformeln mit
semidefiniten Kernen. (German) [Optimal
Quadrature Formulas with Semidefinite
Kernels] . . . . . . . . . . . . . . . . 32--53
G. Cenacchi and
A. De Matteis Quasi-random sequences by power residues 54--63
Claude Brezinski Conditions d'application et de
convergence de procédés d'extrapolation.
(French) [Application and convergence
conditions for some extrapolation
processes] . . . . . . . . . . . . . . . 64--79
Veikko Seppaelae A note on the theory of limit processes
for solving finite equations . . . . . . 80--86
R. Kreß Zur numerischen Integration periodischer
Funktionen nach der Rechteckregel.
(German) [On the numerical integration
of periodic functions by the trapezoidal
rule] . . . . . . . . . . . . . . . . . 87--92
W. J. Kammerer and
R. S. Varga On Asymptotically Best Norms for Powers
of Operators . . . . . . . . . . . . . . 93--98
L. Mansfield On the variational characterization and
convergence of bivariate splines . . . . 99--114
M. Golomb and
R. A. Tapia The metric gradient in normed linear
spaces . . . . . . . . . . . . . . . . . 115--124
R. Kreß On general Hermite trigonometric
interpolation . . . . . . . . . . . . . 125--138
M. Gutknecht A posteriori error bounds for the zeros
of a polynomial . . . . . . . . . . . . 139--148
P. J. van der Houwen Explicit Runge-Kutta formulas with
increased stability boundaries . . . . . 149--164
C. Carasso Étude de l'algorithme de Rém\`es en
l'absence de condition de Haar. (French)
[Study of the Remes-algorithm without
the Haar condition] . . . . . . . . . . 165--178
Ivo Babu\vska The finite element method with
Lagrangian multipliers . . . . . . . . . 179--192
F. Chatelin Approximation du spectre d'un opérateur
linéare: application aux opérateurs
differentiels elliptiques non
autoadjoints. (French) [Approximation of
the spectrum of a linear operator:
application to nonselfadjoint
differential elliptic operators] . . . . 193--204
A. S. Householder Postscript to: ``Generalizations of an
algorithm of Sebastiao e Silva'' . . . . 205--207
A. I. Schiop Stability of Ritz procedure for
nonlinear two-point boundary value
problem . . . . . . . . . . . . . . . . 208--212
J. Douglas, Jr. and
T. Dupont Galerkin methods for parabolic equations
with nonlinear boundary conditions . . . 213--237
V. Strassen Die Berechnungskomplexität von
elementarsymmetrischen Funktionen und
von Interpolationskoeffizienten.
(German) [The computational complexity
of elementary symmetric functions and
interpolation coefficients] . . . . . . 238--251
R. S. Varga and
B. W. Levinger On Minimal Gerschgorin Sets for Families
of Norms . . . . . . . . . . . . . . . . 252--256
T. R. Lucas and
G. W. Reddien A high order projection method for
nonlinear two point boundary value
problems . . . . . . . . . . . . . . . . 257--270
E. Rakotch Numerical solution of Volterra integral
equations . . . . . . . . . . . . . . . 271--279
Rainer Ansorge $f$-Konvergenz und $f$-Stetigkeit von
Operatorenfolgen auf metrischen Räumen.
(German) [$f$-Convergence and
$f$-Stability of Operator Sequences in
Metric Spaces] . . . . . . . . . . . . . 280--287
Colin W. Cryer The numerical solution of boundary value
problems for second order functional
differential equations by finite
differences . . . . . . . . . . . . . . 288--299
Rene van Dooren Numerical computation of forced
oscillations in coupled Duffing
equations . . . . . . . . . . . . . . . 300--311
G. Alefeld Über konvergente Zerlegungen von
Matrizen. (German) [On Convergent
Splittings of Matrices] . . . . . . . . 312--316
Franz Locher Zur Struktur von Quadraturformeln.
(German) [On the Structure of Quadrature
Formulas] . . . . . . . . . . . . . . . 317--326
Richard Brent and
Shmuel Winograd and
Philip Wolfe Optimal iterative processes for
root-finding . . . . . . . . . . . . . . 327--341
Paula P. Chan Singular splines . . . . . . . . . . . . 342--349
Gideon Zwas On two step Lax-Wendroff methods in
several dimensions . . . . . . . . . . . 350--355
A. Sachs Iterationsverfahren für monotone, nicht
notwendig Lipschitz-beschränkte
Operatoren im Hilbert-Raum. (German)
[Iteration Method for Monotone
Not-Necessarily Lipschitz-Limited
Operators in Hilbert Space] . . . . . . 356--363
R. Meyer-Spasche A method of solving the
stability-problem for complex matrices 364--371
Karl Finck von Finckenstein and
Karl-Ulrich von Hagenow Konvergenz eines Differenzenverfahrens
für quasilineare parabolische
Anfangs-Randwertprobleme in
Zylindersymmetrie. (German) [Convergence
of a Difference Method for Quasilinear
Parabolic Initial-Boundary Value
Problems in Cylindrical Symmetry] . . . 372--376
T. Tsuda Numerical integration of functions of
very many variables . . . . . . . . . . 377--391
David R. Kincaid A Class of Norms of Iterative Methods
for Solving Systems of Linear Equations 392--408
A. Schönhage Unitäre Transformationen großer Matrizen.
(German) [Unitary Transformation of
Large Matrices] . . . . . . . . . . . . 409--417
Luc Wuytack An algorithm for rational interpolation
similar to the $qd$-algorithm . . . . . 418--424
A. Feldstein and
R. Goodman Numerical solution of ordinary and
retarded differential equations with
discontinuous derivatives . . . . . . . 1--13
T. Strom Monotonicity and error bounds in schemes
of Romberg type for the computation of
$f^{(n)}(0)$ by central differences and
extrapolation . . . . . . . . . . . . . 14--21
Frank de Hoog and
Richard Weiss On the solution of Volterra integral
equations of the first kind . . . . . . 22--32
M. Delchambre De l'avantage des méthodes aux différences
modifiées de Stiefel-Bettis pour la
résolution d'équations différentielles du
second ordre perturbées. (French) [The
advantage of modified Stiefel-Bettis
difference methods for the solution of
perturbed second order differential
equations] . . . . . . . . . . . . . . . 33--36
H. J. de Vries On the eigenproblem for normal matrices 37--42
C. Johnson On the convergence of a mixed
finite-element method for plate bending
problems . . . . . . . . . . . . . . . . 43--62
Philip M. Anselone and
Joel Davis Perturbations of best approximation
problems . . . . . . . . . . . . . . . . 63--69
E. Martensen Darstellung und Entwicklung des
Restgliedes der Gregoryschen
Quadraturformel mit Hilfe von
Spline-Funktionen. (German)
[Representation and development of the
remainder term of Gregory's quadrature
formula using spline functions] . . . . 70--80
W. Niethammer Ein numerisches Verfahren zur
analytischen Fortsetzung. (German) [A
numerical method for analytical
continuation] . . . . . . . . . . . . . 81--92
H. I. Medley A note on $G$-generating families and
isolated Gerschgorin disks . . . . . . . 93--95
J. Chandra and
P. W. Davis On the approximation of periodic
solutions of equations with bounded
nonlinearities . . . . . . . . . . . . . 96--108
W. J. Gordon and
C. A. Hall Transfinite element methods:
blending-function interpolation over
arbitrary curved element domains . . . . 109--129
Åke Björck and
Tommy Elfving Algorithms for Confluent Vandermonde
Systems . . . . . . . . . . . . . . . . 130--137
G. M. Nielson Bivariate spline functions and the
approximation of linear functionals . . 138--160
D. Braess and
K. P. Hadeler Simultaneous inclusion of the zeros of a
polynomial . . . . . . . . . . . . . . . 161--165
Robert Schaback Konstruktion und algebraische
Eigenschaften von
$M$-Spline-Interpolierenden. (German)
[Construction and algebraic properties
of $M$ spline interpolation] . . . . . . 166--180
Daniel Wulbert A note on polynomial splines with free
knots . . . . . . . . . . . . . . . . . 181--184
D. B. Hunter The numerical evaluation of Cauchy
principal values of integrals by Romberg
integration . . . . . . . . . . . . . . 185--192
G. W. Reddien Projection methods and singular two
point boundary value problems . . . . . 193--205
Hidetosi Takahasi and
Masatake Mori Quadrature formulas obtained by variable
transformation . . . . . . . . . . . . . 206--219
H. Esser and
K. Scherer Eine Bemerkungen zur Konvergenz
Hermitischer Interpolationsprozesse.
(German) [Convergence of Hermite
interpolation processes] . . . . . . . . 220--222
B. N. Parlett Présentation géométrique des méthodes de
calcul des valeurs propres. (French)
[Geometric presentation of methods for
calculation of eigenvalues] . . . . . . 223--233
H. Neunzert and
J. Wick Die Theorie der asymptotischen
Verteilung und die numerische Lösung von
Integrodifferentialgleichungen. (German)
[The theory of asymptotic distribution
and the numerical solution of
integrodifferential equations] . . . . . 234--243
P. Lesaint Finite element methods for symmetric
hyperbolic equations . . . . . . . . . . 244--255
E. Pittnauer Numerische Polynomapproximation mit
Knotenpolynomen. (German) [Numerical
polynomial approximation by knot
polynomials] . . . . . . . . . . . . . . 256--263
W. Sautter Schwankungsbereiche linearer
Optimierungsaufgaben. (German)
[Perturbation analysis of linear
programming problems] . . . . . . . . . 264--269
Jim Douglas, Jr. and
Todd Dupont Superconvergence for Galerkin methods
for the two point boundary problem via
local projections . . . . . . . . . . . 270--278
E. L. Allgower Exact inverses of certain band matrices 279--284
G. W. Stewart Conjugate direction methods for solving
systems of linear equations . . . . . . 285--297
E. Mittermayer Eine Iterationsmethode zur
mehrdimensionalen gleichmäßigen
Approximation bei gegebener Näherung.
(German) [An iterative method for the
more dimensional uniform approximation
by given nearness] . . . . . . . . . . . 298--302
R. Jeltsch Integration of iterated integrals by
multistep methods . . . . . . . . . . . 303--316
R. Scott Finite element convergence for singular
data . . . . . . . . . . . . . . . . . . 317--327
B. Gustafsson A numerical method for solving singular
boundary value problems . . . . . . . . 328--344
Alan E. Berger $L^2$ error estimates for finite
elements with interpolated boundary
conditions . . . . . . . . . . . . . . . 345--349
Klaus Kansy Elementare Fehlerdarstellung für
Ableitungen bei der
Hermite-Interpolation. (German)
[Elementary error representation for
derivatives by Hermite interpolation] 350--354
R. Goodman and
A. Feldstein Round-off error for retarded ordinary
differential equations: a priori bounds
and estimates . . . . . . . . . . . . . 355--372
M. Shimasaki and
T. Kiyono Numerical solution of integral equations
in Chebyshev series . . . . . . . . . . 373--380
J. W. Daniel Newton's method for nonlinear
inequalities . . . . . . . . . . . . . . 381--387
A. N. Beavers, Jr. and
E. D. Denman A Computational Method for Eigenvalues
and Eigenvectors of a Matrix with Real
Eigenvalues . . . . . . . . . . . . . . 389--396
H. Braß Eine Fehlerabschätzung zum
Quadratureverfahren von Clenshaw und
Curtis. (German) [An error estimation of
the quadrature method of Clenshaw and
Curtis] . . . . . . . . . . . . . . . . 397--403
W. Gautschi On the condition of algebraic equations 405--424
L. Elsner A remark on simultaneous inclusions of
the zeros of a polynomial by
Gershgorin's theorem . . . . . . . . . . 425--427
G. Rodrigue A gradient method for the matrix
eigenvalue problem $Ax = \lambda Bx$ . . 1--16
Kendall Atkinson Iterative variants of the Nyström method
for the numerical solution of integral
equations . . . . . . . . . . . . . . . 17--31
G. W. Stewart Some iterations for factoring a
polynomial. II: A generalization of the
secant method . . . . . . . . . . . . . 33--36
J. Schröder and
U. Trottenberg Reduktionsverfahren für
DIfferenzengleichungen bie
Randwertaufgaben. I. (German) [Reduction
method for difference equations for
boundary value problems. I] . . . . . . 37--68
Gerhard Kreisselmeier and
Dietrich Suschowk Ein Algorithmus zur zyklisch invarianten
Zerlegung eines endlich-dimensionalen
Vektorraums bezüglich einer linearen
Selbstabbildung. (German) [An Algorithm
for the Cyclic Invariant Decompositions
of a Finite-Dimensional Vector Space
with Respect to Linear Endomorphism] . . 69--74
C. A. Micchelli and
W. L. Miranker Asymptotically optimal approximation in
fractional Sobolev spaces and the
numerical solution of differential
equations . . . . . . . . . . . . . . . 75--87
L. Mansfield Higher order compatible triangular
finite elements . . . . . . . . . . . . 89--97
J. Douglas, Jr. and
T. Dupont Galerkin approximations for the two
point boundary problem using continuous,
piecewise polynomial spaces . . . . . . 99--109
K. Menke Bestimmung von Näherungen für die konforme
Abbildung mit Hilfe von stationären
Punksystemen. (German) [Determination of
the best approximation for conformal
mapping with help of stationary point
system] . . . . . . . . . . . . . . . . 111--117
R. B. Barrar and
Henry L. Loeb Analytic extended monosplines . . . . . 119--125
F. Geistbeck and
A. Sachs Optimale Fehlerabschätzungen mit dualen
Funktionalen bei semilinearen
Randwertaufgaben gewöhnlicher
Differentialgleichungen. (German)
[Optimal error estimations with dual
functionals for boundary value problems
of ordinary semilinear differential
equations] . . . . . . . . . . . . . . . 127--136
Bruno Brosowski and
K.-H. Hoffmann Eine Variationsungleichung und
Anwendungen. (German) [A variational
inequality and its application] . . . . 137--147
Frank Natterer and
B. Werner Eine Erweiterung des Maximumsprinzips für
den Laplaceschen Operator. (German) [An
extension of the maximum principle for
the Laplace operator] . . . . . . . . . 149--155
R. S. Anderssen and
P. Bloomfield Numerical differentiation procedures for
non-exact data . . . . . . . . . . . . . 157--182
A. M. Erisman and
J. K. Reid Monitoring the Stability of the
Triangular Factorization of a Sparse
Matrix . . . . . . . . . . . . . . . . . 183--186
W. Knauff and
R. Kreß Optimale Approximation linearer
Funktionale auf periodischen Funktionen.
(German) [Optimal approximation of
linear functionals on periodic
functions] . . . . . . . . . . . . . . . 187--205
M. M. Chawla and
V. Kaul Optimal rules with polynomial precision
for Hilbert spaces possessing
reproducing kernel functions . . . . . . 207--218
D. Braess Rationale Interpolation, Normalität und
Monosplines. (German) [Rational
interpolation, normality and
monosplines] . . . . . . . . . . . . . . 219--232
W. R. Richert Zur Fehlerabschätzung für
Eigenwertaufgaben vom Typ $(\lambda^2 I
- \lambda A-B)x=0$. (German) [Error
bounds construction for eigenvalue
distances of the problem $(\lambda^2 I -
\lambda A-B)x=0$] . . . . . . . . . . . 233--239
W. J. Kammerer and
G. W. Reddien and
R. S. Varga Quadratic Interpolatory Splines . . . . 241--259
M. Makela and
O. Nevanlinna and
H. Sipila On the concepts of convergence,
consistency, and stability in connection
with some numerical methods . . . . . . 261--274
W. R. Richert On the handling of eigenvalue problems
with the parameter of nonlinear form . . 275--287
P. Deuflhard A modified Newton method for the
solution of ill-conditioned systems of
nonlinear equations with application to
multiple shooting . . . . . . . . . . . 289--315
M. M. Chawla and
T. R. Ramakrishnan Numerical evaluation of integrals of
periodic functions with Cauchy and
Poisson type kernels . . . . . . . . . . 317--323
L. S. Jennings and
M. R. Osborne A Direct Error Analysis for Least
Squares . . . . . . . . . . . . . . . . 325--332
P. Kall Approximations to stochastic programs
with complete fixed recourse . . . . . . 333--339
H. T. Kung On computing reciprocals of power series 341--348
Kunio Tanabe Characterization of linear stationary
iterative processes for solving a
singular system of linear equations . . 349--359
Jorma Rissanen Solution of linear equations with Hankel
and Toeplitz matrices . . . . . . . . . 361--366
L. R. Abrahamsson and
H. B. Keller and
H. O. Kreiss Difference approximations for singular
perturbations of systems of ordinary
differential equations . . . . . . . . . 367--391
P. H. Astor and
C. S. Duris Discrete $L$-splines . . . . . . . . . . 393--402
P. P. Chan A monotone operator method for the
solution of Fredholm integral equations 403--408
R. Hettich Kriterien zweiter Ordnung für lokal beste
Approximationen. (German) [Second-order
conditions for locally best
approximations] . . . . . . . . . . . . 409--417
J. Wimp Toeplitz arrays, linear sequence
transformations and orthogonal
polynomials . . . . . . . . . . . . . . 1--17
F. Pecka On equally weighted quadratures . . . . 19--22
A. Voigt Line method approximations to the Cauchy
problem for nonlinear parabolic
differential equations . . . . . . . . . 23--36
M. S. Mock Solution of a nonlinear two point
boundary value problem . . . . . . . . . 37--46
Y.-M. J. Demoulin and
Y. M. Chen An iteration method for studying the
bifurcation of solutions of the
nonlinear equations, $L(\lambda)u+
\epsilon R( \lambda,u)=0$ . . . . . . . 47--61
M. La Porte and
J. Vignes Étude Statistique des Erreurs Dans
l'Arithmétique des Ordinateurs;
Application au Contrôle des Résultats
d'Algorithmes Numériques. (French)
[Statistical Study of Errors in Computer
Arithmetic: Application to the Control
of the Results of Numerical Algorithms] 63--72
M. La Porte and
J. Vignes Méthode Numérique de Détection de la
Singularité d'Une Matrice. (French)
[Numerical method of detection of matrix
singularity] . . . . . . . . . . . . . . 73--81
Paul Morel Sur le probl\`eme inverse des valeurs
propres. (French) [On the Inverse
Eigenvalue Problem] . . . . . . . . . . 83--94
B. Herz Zerfallende Tridiagonalematrizen und
aneinandergesetzte Sturmsche Ketten.
(German) [Decomposable tridiagonal
matrices and contiguous Sturm sequences] 95--98
R. A. Nicolaides On a Geometrical Aspect of SOR and the
Theory of Consistent Ordering for
Positive Definite Matrices . . . . . . . 99--104
R. B. Barrar and
Henry L. Loeb and
Helmut Werner On the existence of optimal integration
formulas for analytic functions . . . . 105--117
R. D. Russell Collocation for systems of boundary
value problems . . . . . . . . . . . . . 119--133
H. R. Schwarz The method of coordinate overrelaxation
for $(A- \lambda B)x=0$ . . . . . . . . 135--151
J. T. King New error bounds for the penalty method
and extrapolation . . . . . . . . . . . 153--165
E. Gekeler On the convergence of the von Neumann
difference approximation to hyperbolic
initial boundary value problems . . . . 167--174
G. Kedem and
S. K. Zaremba A table of good lattice points in three
dimensions . . . . . . . . . . . . . . . 175--180
G. Schuller On the order of convergence of certain
quasi-Newton methods . . . . . . . . . . 181--192
J. Douglas, Jr. and
T. Dupont and
L. Wahlbin The stability in $L^q$ of the
$L^2$-projection into finite element
function spaces . . . . . . . . . . . . 193--197
F. de Hoog and
R. Weiss Implicit Runge-Kutta methods for second
kind Volterra integral equations . . . . 199--213
F. Chatelin and
M. J. Lemordant La méthode de Rayleigh-Ritz appliquée \`a
des opérateurs différentielles elliptiques
--- ordres de convergence des éléments
propres. (French) [The Rayleigh-Ritz
method applied to elliptic differential
operators --- orders of convergence of
proper elements] . . . . . . . . . . . . 215--222
D. A. Sanchez An iteration scheme for boundary
value/alternative problems . . . . . . . 223--230
K. S. Thomas On the approximate solution of operator
equations . . . . . . . . . . . . . . . 231--239
A. van der Sluis Stability of the Solutions of Linear
Least Squares Problems . . . . . . . . . 241--254
Y. Vitek A bound connected with primitive
matrices . . . . . . . . . . . . . . . . 255--260
V. Pereyra and
E. G. Sewell Mesh selection for discrete solution of
boundary problems in ordinary
differential equations . . . . . . . . . 261--268
G. Fairweather and
J. P. Johnson On the extrapolation of Galerkin methods
for parabolic problems . . . . . . . . . 269--287
L. Wahlbin Error estimates for a Galerkin method
for a class of model equations for long
waves . . . . . . . . . . . . . . . . . 289--303
A. I. Schiop On the stability of the Ritz procedure
for nonlinear problems . . . . . . . . . 305--310
D. Elliott and
D. F. Paget On the convergence of a quadrature rule
for evaluating certain Cauchy principal
value integrals . . . . . . . . . . . . 311--319
Manfred Reimer Auswertungsverfahren für Polynome in
mehreren Variablen. (German) [Evaluation
schemes for polynomials in more than one
variable] . . . . . . . . . . . . . . . 321--336
Walter Gautschi Norm Estimates for Inverses of
Vandermonde Matrices . . . . . . . . . . 337--347
J. C. Lafon Base tensorielle de matrices de Hankel
(ou de Toeplitz): Applications. (French)
[Tensorial bases of Hankel (or Toeplitz)
matrices Applications] . . . . . . . . . 349--361
C. Brezinski Forme confluente de
l'$\varepsilon$-algorithme topologique.
(French) [Confluent form of the
topological $\varepsilon$-algorithm] . . 363--370
S. F. McCormick An iterative procedure for the solution
of constrained nonlinear equations with
application to optimization problems . . 371--385
Frank Natterer Das Differenzenverfahren für singuläre
Rand-Eigenwertaufgaben gewönlicher
Differentialgleichungen. (German) [The
difference method for singular
boundary/eigenvalues of ordinary
differential equations] . . . . . . . . 387--409
O. H. Hald On a Newton-Moser type method . . . . . 411--426
E. Pittnauer Eine Aussage über Alternanten. (German)
[A proposition on alternants] . . . . . 427--432
J. Schroder Upper and lower bounds for solutions of
generalized two-point boundary value
problems . . . . . . . . . . . . . . . . 433--457
Walter Gautschi Optimally Conditioned Vandermonde
Matrices . . . . . . . . . . . . . . . . 1--12
K. Salkauskas On weight functions for Chebyshev
quadrature . . . . . . . . . . . . . . . 13--18
H. Greenberg An algorithm for determining redundant
inequalities and all solutions to convex
polyhedra . . . . . . . . . . . . . . . 19--26
B. J. Omodei and
R. S. Anderssen Stability of the Rayleigh-Ritz procedure
for nonlinear two-point boundary value
problems . . . . . . . . . . . . . . . . 27--38
M. La Porte and
J. Vignes Evaluation de l'incertitude sur la
solution d'un syst\`eme linéaire.
(French) [Evaluation of the uncertainty
in the solution of a linear system] . . 39--47
E. Deutsch On matrix norms and logarithmic norms 49--51
M. S. Mock A global a posteriori error estimate for
quasilinear elliptic problems . . . . . 53--61
E. Deutsch and
C. Zenger On Bauer's generalized Gershgorin discs 63--70
T. Yamamoto On the distribution of errors in the
iterative solution of a system of linear
equations . . . . . . . . . . . . . . . 71--79
C. J. Henrich On the numerical evaluation of a sum
involving binomial coefficients . . . . 81--83
G. W. Stewart The convergence of the method of
conjugate gradients at isolated extreme
points of the spectrum . . . . . . . . . 85--93
R. A. Nicolaides On the local convergence of certain two
step iterative procedures . . . . . . . 95--101
F. Brezzi Sur la méthode des éléments finis hybrides
pour le probl\`eme biharmonique.
(French) [On Hybrid Finite Element
Methods for the Biharmonic Problem] . . 103--131
M. Davies and
B. Dawson On the global convergence of Halley's
iteration formula . . . . . . . . . . . 133--135
W. Hofmann Monotoniesätze für hyperbolische
Anfangswertaufgaben und Einschließung von
Lösungen. (German) [Monotonicity theorems
for hyperbolic initial value problems
and solution enclosure] . . . . . . . . 137--149
J. H. Lightbourne, III and
R. H. Martin, Jr. Projection seminorms and the field of
values of linear operators . . . . . . . 151--161
A. Pinkus Asymptotic minimum norm quadrature
formulae . . . . . . . . . . . . . . . . 163--175
C. Schneider Vereinfachte Rekursionen zur
Richardson-Extrapolation in
Spezialfällen. (German) [Simplified
recursions for Richardson extrapolation
in special cases] . . . . . . . . . . . 177--184
M. E. Rose Weak-element approximations to elliptic
differential equations . . . . . . . . . 185--204
H. R. Kutt The numerical evaluation of principal
value integrals by finite-part
integration . . . . . . . . . . . . . . 205--210
F. Kiluchi On a finite element scheme based on the
discrete Kirchhoff assumption . . . . . 211--231
U. Hornung Euler method for neutral
functional-differential equation . . . . 233--240
S. Pruess High order approximations to
Sturm-Liouville eigenvalues . . . . . . 241--247
U. Marcowitz Fehlerabschätzung bei Anfangswertaufgaben
für Systeme von gewönlichen
Differentialgleichungen mit Anwendungen
auf das REENTRY-Problem. (German) [Error
estimation in initial value problems for
systems of ordinary differential
equations with an application to the
REENTRY problem] . . . . . . . . . . . . 249--275
G. G. L. Meyer A systematic approach to the synthesis
of algorithms . . . . . . . . . . . . . 277--289
Richard J. Hanson and
James L. Phillips An adaptive numerical method for solving
linear Fredholm integral equations of
the first kind . . . . . . . . . . . . . 291--307
C. Gunther Zweidimensionale Quadraturformeln von
Grad 7 mit 14 Punkten. (German) [Two
dimensional quadrature formulae of
degree seven with fourteen common zeros] 309--316
H. Voss Projectionsverfahren für Randwertaufgaben
mit nichtlinearen Randbedingungen.
(German) [Projection methods for
boundary value problems with nonlinear
boundary conditions] . . . . . . . . . . 317--329
W. Busch and
R. Esser and
W. Hackbusch and
U. Herrmann Extrapolation applied to the method of
characteristics for a first order system
of two partial differential equations.
I. The initial value problem . . . . . . 331--353
Rolf Dieter Grigorieff Diskrete Approximation von
Eigenwertproblemen. I. Qualitative
Konvergenz. (German) [Discrete
approximation of the eigenvalue problem.
I. Qualitative convergence] . . . . . . 355--374
A. Demmler and
C. Reinsch Oscillation matrices with spline
smoothing . . . . . . . . . . . . . . . 375--382
G. Wahba Smoothing noisy data with spline
functions . . . . . . . . . . . . . . . 383--393
T. Tsuda Nonlinear interpolation of functions of
very many variables . . . . . . . . . . 395--414
Rolf Dieter Grigorieff Diskrete Approximation von
Eigenwertproblemen. II.
Konvergenzordnung. (German) [Discrete
approximation of eigenvalue problems.
II. Convergence order] . . . . . . . . . 415--433
P. Wesseling An asymptotic expansion for product
integration applied to Cauchy principal
value integrals . . . . . . . . . . . . 435--442
K. Schumacher Iterative Optimierungsverfahren, die
unter schwachen Voraussetzungen
konvergien. (German) [Iterative
optimisation, convergence under weak
assumptions] . . . . . . . . . . . . . . 443--456
E. B. Saff and
R. S. Varga On the zeros and poles of Padé
approximants to $e^z$ . . . . . . . . . 1--14
W. Forst Zur Optimalität interpolatorischer
Quadraturformeln periodischer
Funktionen. (German) [Optimal formulas
of interpolatory type for the quadrature
of periodic functions] . . . . . . . . . 15--21
F. Stenger Computing the topological degree of a
mapping in $R^n$ . . . . . . . . . . . . 23--38
S. P. Norsett $C$-polynomials for rational
approximation to the exponential
function . . . . . . . . . . . . . . . . 39--56
A. Spence On the convergence of the Nyström method
for the integral equation eigenvalue
problem . . . . . . . . . . . . . . . . 57--66
Frank Natterer Uber die punktweise Konvergenz Finiter
Elemente. (German) [On the pointwise
convergence of finite elements] . . . . 67--77
Rolf Dieter Grigorieff Diskrete Approximation von
Eigenwerteproblemen. III. Asymptotische
Entwicklungen. (German) [Discrete
approximation of eigenvalue-problems.
III. Asymptotic expansions] . . . . . . 79--97
P. Midy An improved calculation of the general
elliptic integral of the second kind in
the neighbourhood of x=0 . . . . . . . . 99--101
Peter Linz Convergence of a discretization method
for integro-differential equations . . . 103--107
R. Hettich Kriterien erster und zweiter Ordnung für
lokal beste Approximationen bei
Problemen mit Nebenbedingungen. (German)
[On first and second order conditions
for locally best approximations for
constraint problems] . . . . . . . . . . 109--122
G. W. Stewart Simultaneous iteration for computing
invariant subspaces of non-Hermitian
matrices . . . . . . . . . . . . . . . . 123--136
G. W. Stewart The economical storage of plane
rotations . . . . . . . . . . . . . . . 137--138
A. Haegemans and
R. Piessens Construction of cubature formulas of
degree eleven for symmetric planar
regions, using orthogonal polynomials 139--148
W. Knauff and
R. Kreß Optimale Approximation mit
Nebenbedingungen an lineare Funktionale
auf periodischen Funktionen. (German)
[Optimal approximation with side
conditions to linear functionals on
periodic functions] . . . . . . . . . . 149--152
R. J. Plemmons Regular Splittings and the Discrete
Neumann Problem . . . . . . . . . . . . 153--161
R. W. Thatcher The use of infinite grid refinements at
singularities in the solution of
Laplace's equation . . . . . . . . . . . 163--178
K. Veselic A convergent Jacobi method for solving
the eigenproblem of arbitrary real
matrices . . . . . . . . . . . . . . . . 179--184
H. M. Möller Kubaturformeln mit minimaler Knotenzahl.
(German) [Minimum-point cubature
formulas] . . . . . . . . . . . . . . . 185--200
T. Küpper Einschließungsenaussagen für gewönliche
Differentialoperatoren. (German)
[Range-domain implications for ordinary
differential operators] . . . . . . . . 201--214
R. E. Barnhill and
J. A. Gregory Sard kernel theorems on triangular
domains with application to finite
element error bounds . . . . . . . . . . 215--229
I. H. Sloan Error analysis for a class of
degenerate-kernel methods . . . . . . . 231--238
K. Jetter Optimale Quadraturformeln mit
semidefiniten Peano-Kernen. (German)
[Optimal integration formulas with
semidefinite Peano-kernels] . . . . . . 239--249
R. B. Barrar and
Henry L. Loeb Multiple zeros and applications to
optimal linear functionals . . . . . . . 251--262
J. A. Nitsche Der Einfluß von Randsingularitäten beim
Ritzschen Verfahren. (German) [Solution
effects of the Ritz method] . . . . . . 263--278
V. Ptak The rate of convergence of Newton's
process . . . . . . . . . . . . . . . . 279--285
D. Elliott and
D. F. Paget On the convergence of a quadrature rule
for evaluating certain Cauchy principal
value integrals: an addendum . . . . . . 287--289
G. Alefeld and
R. S. Varga Zur Konvergenz des symmetrischen
Relaxationsverfahren. (German) [On the
convergence of the symmetric SOR method] 291--295
U. Trottenberg Lösung linearer gewönlicher
Randwertaufgaben 4. Ordnung mit Hilfe
von Aufspaltungen. (German) [Solving
linear ordinary boundary value problems
of the fourth order by means of
splittings] . . . . . . . . . . . . . . 297--306
E. B. Saff and
A. Schönhage and
R. S. Varga Geometric convergence to $e^z$ by
rational functions with real poles . . . 307--322
Robert A. LaBudde and
Donald Greenspan Energy and momentum conserving methods
of arbitrary order for the numerical
integration of equations of motion. I.
Motion of a single particle . . . . . . 323--346
P. J. Anderson and
G. Loizou A Jacobi type method for complex
symmetric matrices . . . . . . . . . . . 347--363
Soon Park Chung Generalization and acceleration of an
algorithm of Sebastiao e Silva and its
duals . . . . . . . . . . . . . . . . . 365--377
M. M. Chawla and
V. Kaul Optimal rules with polynomial precision
for Hilbert spaces possessing
reproducing kernel functions. II. Error
bounds . . . . . . . . . . . . . . . . . 379--382
E. Hairer and
G. Wanner A theory for Nyström methods . . . . . . 383--400
R. E. Barnhill and
J. A. Gregory Interpolation remainder theory from
Taylor expansions on triangles . . . . . 401--408
R. Frank The method of iterated defect-correction
and its application to two-point
boundary value problems. I . . . . . . . 409--419
M. Omladic and
S. Pahor and
A. Suhadolc On a new type of quadrature formulas . . 421--426
G. W. Reddien and
L. L. Schumaker On a collocation method for singular two
point boundary value problems . . . . . 427--432
J. Baumeister Über die Extremaleigenschaft
nichtlinearer interpolierender Splines.
(German) [On the extremal property of
nonlinear interpolating splines] . . . . 433--445
L. Cromme Eine Klasse von Verfahren zur Ermittlung
bester nichtlinearer
Tschebyscheff-Approximationen. (German)
[A class of numerical procedures for
finding best nonlinear Chebyshev
approximations] . . . . . . . . . . . . 447--459
T. Yamamoto On the distribution of errors in the
iterative solution of a system of linear
equations. II . . . . . . . . . . . . . 461--463
Robert A. LaBudde and
Donald Greenspan Energy and momentum conserving methods
of arbitrary order for the numerical
integration of equations of motion. II.
Motion of a system of particles . . . . 1--16
H. Linden Obere Schranken für Eigenwerte von
Eigenwertaufgaben der Form $(\lambda^2 -
\lambda A - B)x = 0$. (German) [Upper
bounds for eigenvalues of quadratic
eigenvalue problems] . . . . . . . . . . 17--26
J.-P. Eckmann On the computation of the Galois group
over the quotient field of $C(\lambda)$ 27--37
V. Girault A combined finite element and Marker and
Cell method for solving Navier-Stokes
equations . . . . . . . . . . . . . . . 39--59
R. M. M. Mattheij and
A. van der Sluis Error estimates for Miller's algorithm 61--78
C. Johnson On finite element methods for plasticity
problems . . . . . . . . . . . . . . . . 79--84
J. Haslinger and
I. Hlavacek A mixed finite element method close to
the equilibrium model . . . . . . . . . 85--97
B. D. Saunders and
H. Schneider A symmetric numerical range for matrices 99--105
M. A. Noor and
J. R. Whiteman Error bounds for finite element
solutions of mildly nonlinear elliptic
boundary value problems . . . . . . . . 107--116
W. B. Jones and
W. J. Thron Truncation error analysis by means of
approximant systems and inclusion
regions . . . . . . . . . . . . . . . . 117--154
J. C. Cavendish and
W. J. Gordon and
C. A. Hall Ritz-Galerkin approximations in blending
function spaces . . . . . . . . . . . . 155--178
D. H. Anderson and
M. R. Osborne Discrete, linear approximation problems
in polyhedral norms . . . . . . . . . . 179--189
C. A. Micchelli and
T. J. Rivlin and
S. Winograd The optimal recovery of smooth functions 191--200
D. Pallaschke Optimale Differentiations- und
Integrationsformeln in $C_0[a,b]$.
(German) [Optimal differentiation and
integration formulae in $C_0(a,b)$] . . 201--210
E. B. Saff and
R. S. Varga and
W.-C. Ni Geometric convergence of rational
approximations to $e^{z}$ in infinite
sectors . . . . . . . . . . . . . . . . 211--225
E. B. Saff and
R. S. Varga Erratum: ``On the zeros and poles of Padé
approximants to $e^z$'' . . . . . . . . 226--226
E. B. Saff and
A. Schönhage and
R. S. Varga Errata: ``Geometric convergence to $e^z$
by rational functions with real poles'' 226--226
J. H. Cerutti and
S. V. Parter Collocation methods for parabolic
partial differential equations in one
space dimension . . . . . . . . . . . . 227--254
T. Miyoshi A mixed finite element method for the
solution of the von Karman equations . . 255--269
M. N. Spijker On the possibility of two-sided error
bounds in the numerical solution of
initial value problems . . . . . . . . . 271--300
F. Stummel Weak stability and weak discrete
convergence of continuous mappings . . . 301--315
I. Gargantini Parallel Laguerre iterations: the
complex case . . . . . . . . . . . . . . 317--323
M. Mignotte Note sur la méthode Bernoulli. (French)
[A note on Bernoulli's method] . . . . . 325--326
P. Deuflhard and
H.-J. Pesch and
P. Rentrop A modified continuation method for the
numerical solution of nonlinear
two-point boundary value problems by
shooting techniques . . . . . . . . . . 327--343
E. B. Saff and
R. S. Varga On the sharpness of theorems concerning
zero-free regions for certain sequences
of polynomials . . . . . . . . . . . . . 345--354
B. Kacewicz An integral-interpolation iterative
method for the solution of scalar
equations . . . . . . . . . . . . . . . 355--365
M. S. Mock Explicit finite element schemes for
first order symmetric hyperbolic systems 367--378
K. Taubert Differenzverfahren für Schwingungen mit
trockener und zäher Reibung und für
Regelungssysteme. (German) [A finite
difference method in forced vibrations
with combined viscous and Coulomb
damping and in feedback control systems] 379--395
M. van Veldhuizen A refinement process for collocation
approximations . . . . . . . . . . . . . 397--407
G. Alefeld Zur Konvergenz des
Peaceman-Rachford-Verfahrens. (German)
[On the convergence of the
Peaceman-Rachford iterative method] . . 409--419
J. Sprekels Existenz und erste Einschließung
positiver Lösungen bei superlinearen
Randwertaufgaben zweiter Ordnung.
(German) [Existence and first bounds of
positive solutions of superlinear
second-order boundary value problems] 421--428
J. Schröder and
U. Trottenberg and
H. Reutersberg Reduktionsverfahren für
DIfferenzengleichungen bie
Randwertaufgaben. II. (German) [Solving
difference equations for boundary value
problems by reduction methods. II] . . . 429--459
B. A. Chartres and
R. S. Stepleman Convergence of linear multistep methods
for differential equations with
discontinuities . . . . . . . . . . . . 1--10
P. Hallet and
J. P. Hennart and
E. H. Mund A Galerkin method with modified
piecewise polynomials for solving a
second-order boundary value problem . . 11--20
P. E. Zadunaisky On the estimation of errors propagated
in the numerical integration of ordinary
differential equations . . . . . . . . . 21--39
T. N. L. Patterson On high precision methods for the
evaluation of Fourier integrals with
finite and infinite limits . . . . . . . 41--52
E. Wagenfuhrer Ein Verfahren höherer Konvergenzordnung
zur Berechnung des charakteristischen
Exponenten der Mathieuschen
Differentialgleichung. (German) [A
method of high order convergence for
calculating the characteristic exponent
of Mathieu's differential equation] . . 53--65
K. Veselic Some convergent Jacobi-like procedures
for diagonalising $J$-symmetric matrices 67--75
G. Claessens A new algorithm for oscillatory rational
interpolation . . . . . . . . . . . . . 77--83
J. Matthys A-stable linear multistep methods for
Volterra integro-differential equations 85--94
James R. Bunch and
Linda Kaufman and
Beresford N. Parlett Decomposition of a Symmetric Matrix . . 95--109
T. Küpper Pointwise lower and upper bounds for
eigenfunctions of ordinary differential
operators . . . . . . . . . . . . . . . 111--119
E. Hansen and
M. Patrick Estimating the multiplicity of a root 121--131
F. Robert Autour du théor\`eme de Stein-Rosenberg.
(French) [More about the Stein-Rosenberg
theorem] . . . . . . . . . . . . . . . . 133--141
J. G. Verwer On generalized linear multistep methods
with zero-parasitic roots and an
adaptive principal root . . . . . . . . 143--155
B. E. White On optimal extreme-discrepancy point
sets in the square . . . . . . . . . . . 157--164
J. R. Cash A note on the iterative solution of
recurrence relations . . . . . . . . . . 165--170
U. Welck Ein stabiles Schichtenverfahren für
allgemeine lineare
Evolutionsgleichungen. (German) [A
stable line method for general linear
evolution equations] . . . . . . . . . . 171--178
H.-P. Blatt Rationale Tschebyscheff-Approximation
über unbeschränkten Intervallen. (German)
[Rational Chebyshev approximation on
unbounded intervals] . . . . . . . . . . 179--190
H.-P. Blatt Zur Stetigkeit rationaler
T-Approximationen über unbeschränkten
Intervallen. (German) [Continuity of
best rational approximations on
unbounded intervals] . . . . . . . . . . 191--202
F. Cordellier Particular rules for the vector
$\epsilon$-algorithm . . . . . . . . . . 203--207
L. M. Delves On the optimum choice of weight
functions in a class of variational
calculations . . . . . . . . . . . . . . 209--218
M. Bain and
L. M. Delves The convergence rates of expansions in
Jacobi polynomials . . . . . . . . . . . 219--225
J. Lorenz Zur Inversmonotonie diskreter Probleme.
(German) [On the monotone kind-property
of discrete problems] . . . . . . . . . 227--238
E. K. Ifantis and
C. B. Kouris Lower bounds for the zeros of analytic
functions . . . . . . . . . . . . . . . 239--247
O. H. Hald Discrete inverse Sturm-Liouville
problems. I. Uniqueness for symmetric
potentials . . . . . . . . . . . . . . . 249--256
Eldon Hansen and
Merrell Patrick A family of root finding methods . . . . 257--269
J. C. P. Bus Convergence of Newton-like methods for
solving systems of nonlinear equations 271--281
E. Hairer Méthodes de Nyström pour l'équation
différentielle $y''=f(x,y)$. (French)
[Nyström methods for the differential
equation $y''=f(x,y)$] . . . . . . . . . 283--300
W. H. Ling and
H. W. McLaughlin and
M. L. Smith A computational procedure for the
approximation of random functions . . . 301--305
J. Meinguet and
J. Descloux An operator-theoretical approach to
error estimation . . . . . . . . . . . . 307--326
O. Widlund On best error bounds for approximation
by piecewise polynomial functions . . . 327--338
K. Witsch Konvergenzaussagen für
Projectionsverfahren bei linearen
Operatoren. (German) [Convergence of
projection methods for linear operators] 339--354
G. Schmeisser A representation for the remainder of
the Maclaurin quadrature formula . . . . 355--358
J. G. Verwer $S$-stability properties for generalized
Runge-Kutta methods . . . . . . . . . . 359--370
V. Conrad and
Y. Wallach A faster SSOR algorithm . . . . . . . . 371--372
H. Wo\'zniakowski Numerical Stability for Solving
Nonlinear Equations . . . . . . . . . . 373--390
C. R. Johnson Locally compatible generalized matrix
norms . . . . . . . . . . . . . . . . . 391--394
A. Paulik Zur existenz optimaler Quadraturformeln
mit freien Knoten bei Integration
analytischer Funktionen. (German) [On
the existence of optimal integration
formulas with free nodes for analytic
functions] . . . . . . . . . . . . . . . 395--405
R. Frank The method of iterated defect-correction
and its application to two-point
boundary value problems. II . . . . . . 407--420
D. Pallaschke Konvergenz optimaler
Differentiationsformeln. (German)
[Convergence of optimal differentiation
formulas] . . . . . . . . . . . . . . . 421--426
R. V. M. Zahar A mathematical analysis of Miller's
algorithm . . . . . . . . . . . . . . . 427--447
H.-J. Diekhoff and
P. Lory and
H. J. Oberle and
H.-J. Pesch and
P. Rentrop and
R. Seydel Comparing routines for the numerical
solution of initial value problems of
ordinary differential equations in
multiple shooting . . . . . . . . . . . 449--469
R. Haverkamp Sturm-Liouville-Probleme mit schwach
singulären Koeffizientenfunktionen. Teil
I. Eigenwertproblem. (German) [Weak
singular Sturm-Liouville problems. I.
Eigenvalue problem] . . . . . . . . . . 471--484
Carl de Boor and
Allan Pinkus A Backward Error Analysis for Totally
Positive Linear Systems . . . . . . . . 485--490
B. F. Sherman A counterexample to Greenberg's
algorithm for solving linear
inequalities . . . . . . . . . . . . . . 491--492
O. Axelsson Error estimates for Galerkin methods for
quasilinear parabolic and elliptic
differential equations in divergence
form . . . . . . . . . . . . . . . . . . 1--14
J. Rappaz Approximation of the spectrum of a
non-compact operator given by the
magnetohydrodynamic stability of a
plasma . . . . . . . . . . . . . . . . . 15--24
Göran Starius Constructing orthogonal curvilinear
meshes by solving initial value problems 25--48
H. Engels Eine Familie interpolatorischer
Quadraturformeln mit ableitungsfreien
Fehlerschranken. (German) [A family of
quadrature formulas having error bounds
without derivatives] . . . . . . . . . . 49--58
Walter Gautschi and
Giovanni Monegato On optimal Chebyshev-type quadratures 59--67
H. Esser Stabilitätsungleichung für
Diskretisierungen von Randwertaufgaben
gewönlicher Differentialgleichungen.
(German) [Stability inequalities for
discretizations of boundary value
problems in ordinary differential
equations] . . . . . . . . . . . . . . . 69--100
L. Cromme Numerische Methoden zur Behandlung
einiger Problemklassen der nichtlinearen
Tschebyscheff-Approximation mit
Nebenbedingungen. (German) [Numerical
methods for constrained nonlinear
Chebyshev approximation] . . . . . . . . 101--117
E. B. Saff and
R. S. Varga Erratum: ``On the sharpness of theorems
concerning zero-free regions for certain
sequences of polynomials'' (Numer. Math.
\bf 26 (1976), no. 4, 345--354) . . . . 119--119
Anonymous Alston S. Householder award
(1977)---final notice . . . . . . . . . 120--120
W. Hackbusch Extrapolation applied to certain
discretization methods solving the
initial value problem for hyperbolic
differential equations . . . . . . . . . 121--142
D. H. Anderson and
M. R. Osborne Discrete, nonlinear approximation
problems in polyhedral norms . . . . . . 143--156
D. H. Anderson and
M. R. Osborne Discrete, nonlinear approximation
problems in polyhedral norms: a
Levenberg-like algorithm . . . . . . . . 157--170
W. F. Langford Numerical solution of bifurcation
problems for ordinary differential
equations . . . . . . . . . . . . . . . 171--190
H. Wo\'zniakowski Numerical Stability of the Chebyshev
Method for the Solution of Large Linear
Systems . . . . . . . . . . . . . . . . 191--209
Lieuwe Sytse de Jong Towards a Formal Definition of Numerical
Stability . . . . . . . . . . . . . . . 211--219
Achiya Dax and
S. Kaniel Pivoting Techniques for Symmetric
Gaussian Elimination . . . . . . . . . . 221--241
G. Starius Composite mesh difference methods for
elliptic boundary value problems . . . . 243--258
G. J. Fix and
M. E. Gurtin On patched variational principles with
application to elliptic and mixed
elliptic-hyperbolic problems . . . . . . 259--271
V. Klee and
P. van den Driessche Linear algorithms for testing the sign
stability of a matrix and for finding
$Z$-matrix matchings an acyclic graphs 273--285
L. P. Mavrides Optimisation under nonnegativity
constraints . . . . . . . . . . . . . . 287--293
M. Atteia Évaluation de l'erreur dans la méthode des
éléments finis. (French) [Error in the
finite elements method] . . . . . . . . 295--306
T. A. Manteuffel The Tchebychev iteration for
nonsymmetric linear systems . . . . . . 307--327
Frank Natterer Regularisierung schlecht gestellter
Probleme durch Projectionsverfahren.
(German) [Regularization of ill-posed
problems by projection methods] . . . . 329--341
J. Stoer On the relation between quadratic
termination and convergence properties
of minimization algorithms. I. Theory 343--366
P. Baptist and
J. Stoer On the relation between quadratic
termination and convergence properties
of minimisation algorithms. II.
Applications . . . . . . . . . . . . . . 367--391
R. M. Redheffer Fehlerabschätzung bei nichtlinearer
Differentialgleichungen mit Hilfe
linearer Differentialgleichungen.
(German) [Error estimation in nonlinear
problems by use of a family of linear
differential inequalities] . . . . . . . 393--405
J. L. Gout Estimation de l'erreur d'interpolation
d'Hermite dans ${\bf R}^n$. (French)
[Estimation of the Hermite interpolation
error in ${\bf R}^n$] . . . . . . . . . 407--429
F. Brezzi and
W. W. Hager and
P. A. Raviart Error estimates for the finite element
solution of variational inequalities. I.
Primal theory . . . . . . . . . . . . . 431--443
O. Nevanlinna On the behaviour of global errors at
infinity in the numerical integration of
stable initial value problems . . . . . 445--454
W. Hackbusch Extrapolation to the limit for numerical
solutions of hyperbolic equations . . . 455--474
M. van Veldhuizen A Note on Partial Pivoting and Gaussian
Elimination . . . . . . . . . . . . . . 1--10
J. Scheurle Ein selektives
Projektions-Iterationsverfahren und
Anwendungen auf Verzweigungsprobleme.
(German) [A selective
projection-iteration method and
bifurcation] . . . . . . . . . . . . . . 11--35
W. Miller Roundoff analysis and sparse data . . . 37--43
F. J. Drexler Eine Methode zur Berechnung sämtlicher
Lösungen von Polynomgleichungssystemen.
(German) [A method for computing all
solutions of systems of polynomial
equations] . . . . . . . . . . . . . . . 45--58
B. Sydow Error estimates for Gaussian quadrature
formulae . . . . . . . . . . . . . . . . 59--64
U. von Welck Stabile Merhschichtverfahren für
parabolische Evolutionsgleichungen.
(German) [Stable multi-line methods for
evolution equations of parabolic type] 65--82
R. W. Owens An algorithm for best approximate
solutions of Ax=b with a smooth strictly
convex norm . . . . . . . . . . . . . . 83--91
K. Glashoff and
E. Sachs On theoretical and numerical aspects of
the bang-bang-principle . . . . . . . . 93--113
Nai-Kuan Tsao Newton interpolation is efficient for
approximation of linear functionals . . 115--122
D. Braess Über die Einzugsbereiche der Nullstellen
von Polynomen beim Newton-Verfahren.
(German) [On the regions of attraction
when computing the roots of polynomials
with the Newton-method] . . . . . . . . 123--132
A. Spence Error bounds and estimates for
eigenvalues of integral equations . . . 133--147
J. Hartung A stable interior penalty method for
convex extremal problems . . . . . . . . 149--158
William G. Kolata Approximation in variationally posed
eigenvalue problems . . . . . . . . . . 159--171
C. Brezinski Convergence acceleration of some
sequences by the $\epsilon$-algorithm 173--177
L. Cromme Strong uniqueness: a far-reaching
criterion for the convergence analysis
of iterative procedures . . . . . . . . 179--193
K. Kilberth Iterative Berechnung mehrfacher Lösungen
von Hammersteinschen
Integralgleichungen. (German) [Iterative
calculation of multiple solutions of
Hammerstein integral equations] . . . . 195--207
Wulf-Jürgen Beyn Zur Stabilität von Differenzenverfahren
für Systeme linearer gewöhnlicher
Randwertaufgaben. (German) [On the
stability of difference approximations
to systems of linear ordinary boundary
value problems] . . . . . . . . . . . . 209--226
G. Claessens A useful identity for the rational
Hermite interpolation table . . . . . . 227--231
T. Morita Calculation of the complete elliptic
integrals with complex modulus . . . . . 233--236
E. L. Allgower and
S. F. McCormick Newton's method with mesh refinements
for numerical solution of nonlinear
two-point boundary value problems . . . 237--260
D. A. Field Error bounds for continued fractions
$K(1/b_n)$ . . . . . . . . . . . . . . . 261--267
E. Turkel Extrapolation methods for dynamic
partial differential equations . . . . . 269--285
D. S. Henderson and
A. Wassyng A new method for the solution of Ax=b 287--289
T. A. Porsching Error estimates for MAC-like
approximations to the linear
Navier-Stokes equations . . . . . . . . 291--306
A. S. L. Shieh On the convergence of the conjugate
gradient method for singular capacitance
matrix equations from the Neumann
problem of the Poisson equation . . . . 307--327
G. H. Meyer The method of lines for Poisson's
equation with nonlinear or free boundary
conditions . . . . . . . . . . . . . . . 329--344
F. Stenger Optimal convergence of minimum norm
approximations in $H_p$ . . . . . . . . 345--362
E. Spedicato and
J. Greenstadt On some classes of variationally derived
quasi-Newton methods for systems of
nonlinear algebraic equations . . . . . 363--380
P. Albrecht On the order of composite multistep
methods for ordinary differential
equations . . . . . . . . . . . . . . . 381--396
C. W. Mastin and
J. F. Thompson Transformation of three-dimensional
regions onto rectangular regions by
elliptic systems . . . . . . . . . . . . 397--407
E. Hairer On the order of iterated defect
correction --- an algebraic proof . . . 409--424
Hans J. Stetter The defect correction principle and
discretization methods . . . . . . . . . 425--443
Walter Gautschi On inverses of Vandermonde and confluent
Vandermonde matrices. III . . . . . . . 445--450
H.-D. Mittelmann On the approximate solution of nonlinear
variational inequalities . . . . . . . . 451--462
J. H. Wilkinson The Alston S. Householder Award . . . . 463--463
J. W. Lee and
P. M. Prenter An analysis of the numerical solution of
Fredholm integral equations of the first
kind . . . . . . . . . . . . . . . . . . 1--23
R. Jeltsch On the stability properties of Brown's
multistep multiderivative methods . . . 25--38
H. Potempa Modifizierte Restgliedabschätzungen für
Quadraturformeln. (German) [Modified
estimates for quadrature errors] . . . . 39--50
J. N. Lyness and
P. Keast On $p$-generator fully symmetric
quadrature rules . . . . . . . . . . . . 51--63
R. Menzel and
H. Schwetlick Zur Lösung parameterabhängiger
nichtlinearer Gleichungen mit singulären
Jacobi-Matrizen. (German) [On solving
nonlinear equations depending on a real
parameter in case of singular Jacobians] 65--79
Frank Natterer Numerical inversion of the Radon
transform . . . . . . . . . . . . . . . 81--91
Tassilo Küpper Einschließungsaussagen bei
Differentialoperatoren zweiter Ordnung
durch punktweise Ungleichungen. (German)
[Range-domain implications for second
order differential operators using
pointwise inequalities] . . . . . . . . 93--101
C. Johnson and
B. Mercier Some equilibrium finite element methods
for two-dimensional elasticity problems 103--116
H. Brunner Discretization of Volterra integral
equations of the first kind. II . . . . 117--136
W. Forst Zur Interpolation und Integration
differenzierbarer periodischer
Funktionaleng. (German) [On
interpolation and integration of
differentiable periodic functions] . . . 137--147
R. Brombeer Über optimale Quadraturformeln mit freien
Knoten zu Hilberträumen periodischer
Funktionen. (German) [On optimal
quadrature formulae with free nodes for
Hilbert-spaces of periodic functions] 149--164
Werner Sautter Fehleranalyse für die Gauß-Elimination zur
Berechnung der Lösung minimaler Länge.
(German) [Error Analysis of Gauss
Elimination for the Best Least Squares
Problem] . . . . . . . . . . . . . . . . 165--184
Kristian Witsch Numerische Quadratur bei
Projektionsverfahren. (German)
[Numerical quadrature in projection
methods] . . . . . . . . . . . . . . . . 185--206
R. Wolf Asymptotische Entwicklungen für
Eigenwerte und Eigenvektoren bei der
Approximation parameternichtlinearer
Eigenwertaufgaben. (German) [Asymptotic
expansions for eigenvalues and
eigenvectors in the approximation of
eigenvalue problems depending
nonlinearly on a parameter] . . . . . . 207--226
Paul Sablonni\`ere Bases de type Schauder de $C[0,1]$ et
formules de quadrature associ\`ees.
(French) [Bases of Schauder type in
$C[0,1]$ and associated quadrature
formulas] . . . . . . . . . . . . . . . 227--240
E. B. Saff and
R. S. Varga On the zeros and poles of Padé
approximants to $e^z$. III . . . . . . . 241--266
M. van Veldhuizen Higher order methods for a singularly
perturbed problem . . . . . . . . . . . 267--279
Jack Graves and
P. M. Prenter Numerical iterative filters applied to
first kind Fredholm integral equations 281--299
H. Wo\'zniakowski Round-off error analysis of iterations
for large linear systems . . . . . . . . 301--314
C. Zenger and
H. Gietl Improved difference schemes for the
Dirichlet problem of Poisson's equation
in the neighbourhood of corners . . . . 315--332
Kristian Witsch Projektive Newton-Verfahren bei
elliptischen Randwertaufgaben. (German)
[Projective Newton methods for elliptic
boundary value problems] . . . . . . . . 333--347
H. Braß Monotonie bei den Quadratureverfahren
von Gauß und Newton-Cotes. (German)
[Monotony in the quadrature rules of
Gauss and Newton-Cotes] . . . . . . . . 349--354
I. J. Good and
T. N. Tideman Integration over a simplex, truncated
cubes, and Eulerian numbers . . . . . . 355--367
E. Gekeler A-priori error estimates of Galerkin
backward differentiation methods in
time-inhomogeneous parabolic problems 369--383
J. R. Cash High order methods for the numerical
integration of ordinary differential
equations . . . . . . . . . . . . . . . 385--409
G. J. Cooper and
F. C. P. Whitworth Liapunov functions and error bounds for
approximate solutions of ordinary
differential equations . . . . . . . . . 411--414
I. H. Sloan and
W. E. Smith Product-integration with the
Clenshaw-Curtis and related
points-convergence properties . . . . . 415--428
Andrew Majda and
Stanley Osher A systematic approach for correcting
nonlinear instabilities --- the
Lax-Wendroff scheme for scalar
conservation laws . . . . . . . . . . . 429--452
R. Wegmann Ein Iterationsverfahren zur konformen
Abbildung. (German) [An iterative method
in conformal mapping] . . . . . . . . . 453--466
Franco Brezzi and
William W. Hager and
P.-A. A. Raviart Error estimates for the finite element
solution of variational inequalities.
II. Mixed methods . . . . . . . . . . . 1--16
David Belogus and
Nadav Liron DCR2: an improved algorithm for
$\ell_{\infty}$ rational approximation
on intervals . . . . . . . . . . . . . . 17--29
James R. Bunch and
Christopher P. Nielsen and
Danny C. Sorensen Rank One Modification of the Symmetric
Eigenproblem . . . . . . . . . . . . . . 31--48
Randolph E. Bank Efficient algorithms for solving tensor
product finite element equations . . . . 49--61
Gerard R. Richter Superconvergence of piecewise polynomial
Galerkin approximations, for Fredholm
integral equations of the second kind 63--70
I. C. Simpson Numerical integration over a
semi-infinite interval, using the
lognormal distribution . . . . . . . . . 71--76
R. Schultz Ein Abstiegsverfahren für
Approximationsaufgaben in normierten
Räumen. (German) [A descent method for
approximation problems in normed spaces] 77--95
G. Mühlbach The general Neville-Aitken-algorithm and
some applications . . . . . . . . . . . 97--110
James R. Bunch and
Christopher P. Nielsen Updating the Singular Value
Decomposition . . . . . . . . . . . . . 111--129
Reinhold Mannshardt One-step methods of any order for
ordinary differential equations with
discontinuous right-hand sides . . . . . 131--152
M. A. Wolfe Extended iterative methods for the
solution of operator equations . . . . . 153--174
Zahari Zlatev Stability properties of variable
stepsize variable formula methods . . . 175--182
Thomas A. Manteuffel Adaptive procedure for estimating
parameters for the nonsymmetric
Tchebychev iteration . . . . . . . . . . 183--208
Kristian Witsch Projektive Newton-Verfahren und
Anwendungen auf nichtlineare
Randwertaufgaben. (German) [Projective
Newton methods and applications to
nonlinear boundary value problems] . . . 209--230
E. K. Blum and
P. B. Geltner Numerical solution of
eigentuple-eigenvector problems in
Hilbert spaces by a gradient method . . 231--246
E. K. Blum and
A. R. Curtis A convergent gradient method for matrix
eigenvector-eigentuple problems . . . . 247--263
M. Neumann and
R. J. Plemmons Convergent Nonnegative Matrices and
Iterative Methods for Consistent Linear
Systems . . . . . . . . . . . . . . . . 265--279
Hans Joachim Schmid On cubature formulae with a minimal
number of knots . . . . . . . . . . . . 281--297
M. Davies and
B. Dawson An automatic search procedure for
finding real zeros . . . . . . . . . . . 299--312
Jochen W. Schmidt Einschließung inverser Elemente durch
Fixpunktverfahren. (German) [Enclosing
of inverse elements by fixed-points
methods] . . . . . . . . . . . . . . . . 313--320
Jochen Werner Über die globale Konvergenz von
Variable-Metrik-Verfahren mit
nicht-exakter Schrittweitenbestimmung.
(German) [On the global convergence of
variable metric algorithms without exact
line searches] . . . . . . . . . . . . . 321--334
Robert Beauwens Factorization iterative methods,
${M}$-operators and ${H}$-operators . . 335--357
P. Rentrop A Taylor series method for the numerical
solution of two-point boundary value
problems . . . . . . . . . . . . . . . . 359--375
Peter Craven and
Grace Wahba Smoothing noisy data with spline
functions. Estimating the correct degree
of smoothing by the method of
generalized cross-validation . . . . . . 377--403
A. S. L. Shieh Fast Poisson solvers on general
two-dimensional regions for the
Dirichlet problem . . . . . . . . . . . 405--429
K. Schittkowski and
J. Stoer A Factorization Method for the Solution
of Constrained Linear Least Squares
Problems Allowing Subsequent Data
Changes . . . . . . . . . . . . . . . . 431--463
Syvert P. Nòrsett and
Arne Wolfbrandt Order conditions for Rosenbrock type
methods . . . . . . . . . . . . . . . . 1--15
Helmut Weber Numerische Behandlung von
Verzweigungsproblemen bei gewöhnlichen
Differentialgleichungen. (German)
[Numerical treatment of bifurcation
problems for ordinary differential
equations] . . . . . . . . . . . . . . . 17--29
E. Wagenführer and
H. Lang Berechnung des charakteristischen
Exponenten der endlichen Hillschen
Differentialgleichung durch numerische
Integration. (German) [On calculating
the characteristic exponent of the
finite Hill differential equation by
numerical integration] . . . . . . . . . 31--50
Rüdiger Seydel Numerical computation of branch points
in ordinary differential equations . . . 51--68
Kurt Georg On the convergence of an inverse
iteration method for nonlinear elliptic
eigenvalue problems . . . . . . . . . . 69--74
Michel Crouzeix Sur la ${B}$-stabilité des méthodes de
Runge-Kutta. (French) [On the
${B}$-stability of Runge-Kutta Methods] 75--82
Wolfgang Hackbusch On the fast solutions of nonlinear
elliptic equations . . . . . . . . . . . 83--95
Hermann Schomberg Monotonically convergent iterative
methods for nonlinear systems of
equations . . . . . . . . . . . . . . . 97--104
V. Conrad and
Y. Wallach Alternating methods for sets of linear
equations . . . . . . . . . . . . . . . 105--108
Baker Kearfott An efficient degree-computation method
for a generalized method of bisection 109--127
Glenn R. Luecke A numerical procedure for computing the
Moore-Penrose inverse . . . . . . . . . 129--137
Alastair Spence Error bounds and estimates for
eigenvalues of integral equations. II 139--146
H. N. Mülthei Splineapproximationen von beliebigem
Defekt zur numerischen Lösung gewöhnlicher
Differentialgleichungen. I. (German)
[Spline approximations of arbitrary
defect for the numerical solution of
ordinary differential equations. I] . . 147--157
P. Van der Cruyssen A reformulation of Olver's algorithm for
the numerical solution of second-order
linear difference equations . . . . . . 159--166
Rolf Jeltsch ${A}_{0}$-stability and stiff stability
of Brown's multistep multiderivative
methods . . . . . . . . . . . . . . . . 167--181
P. Midy and
Y. Yakovlev An extrapolation method for the
quadrature of functions with
singularities in the vicinity of the
interval of integration . . . . . . . . 183--196
Alexander Voigt The method of lines for nonlinear
parabolic differential equations with
mixed derivatives . . . . . . . . . . . 197--207
S. Kesavan La méthode de Kikuchi appliquée aux
équations de von Kármán. (French)
[Kikuchi's Method Applied to von Kármán's
Equations] . . . . . . . . . . . . . . . 209--232
Françoise Chatelin Sur les bornes d'erreur a posteriori
pour les éléments propres d'opérateurs
linéaires. (French) [On the a posteriori
error bounds for the proper elements of
linear operators] . . . . . . . . . . . 233--246
D. Apprato and
R. Arcangéli and
J. L. Gout Sur les éléments finis rationnels de
Wachspress. (French) [On the finite
rational elements of Wachspress] . . . . 247--270
M. Razzaghi A computational solution for a matrix
Riccati differential equation . . . . . 271--279
Eugen Schäfer Fehlerabschätzungen für Eigenwertnäherungen
nach der Ersatzkernmethode bei
Integralgleichungen. (German) [Error
estimates for eigenvalues of integral
equations computed by approximate kernel
methods] . . . . . . . . . . . . . . . . 281--290
M. E. A. El Tom On best cubature formulas and spline
interpolation . . . . . . . . . . . . . 291--306
Zdzis\law Jackiewicz Convergence of multistep methods for
Volterra functional differential
equations . . . . . . . . . . . . . . . 307--332
Wilhelm Werner Über ein Verfahren der Ordnung
$1+\sqrt{2}$ zur Nullstellenbestimmung.
(German) [On a method of order
$1+\sqrt{2}$ for determining zeros] . . 333--342
Heinrich N. Mülthei Splineapproximationen von beliebigem
Defekt zur numerischen Lösung gewöhnlicher
Differentialgleichungen. II. (German)
[Spline approximations of arbitrary
defect for the numerical solution of
ordinary differential equations] . . . . 343--358
Soon Park Chung An algorithm for the zeros of
transcendental functions . . . . . . . . 359--371
E. Hairer Unconditionally stable methods for
second order differential equations . . 373--379
Jürgen Sprekels and
Heinrich Voss Pointwise inclusions of fixed points by
finite-dimensional iteration schemes . . 381--392
G. Mühlbach The general recurrence relation for
divided differences and the general
Newton-interpolation-algorithm with
applications to trigonometric
interpolation . . . . . . . . . . . . . 393--408
Nai Kuan Tsao Error analysis of splitting algorithms
for polynomials . . . . . . . . . . . . 409--421
Gerhard Opfer New extremal properties for constructing
conformal mappings . . . . . . . . . . . 423--429
Frank Natterer On the inversion of the attenuated Radon
transform . . . . . . . . . . . . . . . 431--438
Jerry M. Wolfe On the convergence of an algorithm for
discrete $L_p$ approximation . . . . . . 439--459
Patrick Chenin Une représentation intégrale de l'erreur
d'interpolation. (French) [An integral
representation of interpolation error] 461--479
F. L. Bauer and
G. H. Golub and
A. S. Householder and
K. Samelson Eduard L. Stiefel: 4/21/1909--11/27/1978 480--481
B. C. Carlson Computing elliptic integrals by
duplication . . . . . . . . . . . . . . 1--16
Günther Hämmerlin and
Larry L. Schumaker Error bounds for the approximation of
Green's kernels by splines . . . . . . . 17--22
Rolf Rannacher Nonconforming finite element methods for
eigenvalue problems in linear plate
theory . . . . . . . . . . . . . . . . . 23--42
Alfred Louis Acceleration of convergence for finite
element solutions of the Poisson
equation . . . . . . . . . . . . . . . . 43--53
Peter Kaps and
Peter Rentrop Generalized Runge-Kutta methods of order
four with stepsize control for stiff
ordinary differential equations . . . . 55--68
Pavel Chocholaty and
L'udomír \vSlahor A numerical method to boundary value
problems for second order delay
differential equations . . . . . . . . . 69--75
Wilhelm Hock Asymptotic expansions for multistep
methods applied to nonlinear Volterra
integral equations of the second kind 77--100
D. L. Barrow and
P. W. Smith Efficient $L_2$ approximation by splines 101--114
P. Deuflhard A stepsize control for continuation
methods and its special application to
multiple shooting techniques . . . . . . 115--146
Martin Stynes A simplification of Stenger's
topological degree formula . . . . . . . 147--155
K. Veseli\'c On a class of Jacobi-like procedures for
diagonalizing arbitrary real matrices 157--172
K. Veseli\'c On a new class of elementary matrices 173--180
A. Greenbaum Comparison of splittings used with the
conjugate gradient algorithm . . . . . . 181--193
Kazuo Ishihara On the mixed finite element
approximation for the buckling of plates 195--210
M. Bercovier and
O. Pironneau Error estimates for finite element
method solution of the Stokes problem in
the primitive variables . . . . . . . . 211--224
Peter Henrici Barycentric formulas for interpolating
trigonometric polynomials and their
conjugates . . . . . . . . . . . . . . . 225--234
V. Girault and
P. A. Raviart An analysis of a mixed finite element
method for the Navier-Stokes equations 235--271
Juhani Pitkäranta Boundary subspaces for the finite
element method with Lagrange multipliers 273--289
J. W. Mooney and
H. Voss and
B. Werner The dependence of critical parameter
bounds on the monotonicity of a Newton
sequence . . . . . . . . . . . . . . . . 291--301
Rita Meyer-Spasche A note on the approximation of mildly
nonlinear Dirichlet problems by finite
differences . . . . . . . . . . . . . . 303--313
David Carlson and
Biswa Nath Datta On the effective computation of the
inertia of a non-Hermitian matrix . . . 315--322
Herbert Arndt Lösung von gewöhnlichen
Differentialgleichungen mit
nichtlinearen Splines. (German)
[Solution of ordinary differential
equations with nonlinear splines] . . . 323--338
Rüdiger Seydel Numerical computation of branch points
in nonlinear equations . . . . . . . . . 339--352
T. R. Hopkins and
D. E. Roberts Kufarev's method for determining the
Schwarz-Christoffel parameters . . . . . 353--365
M. Amara and
J. M. Thomas Equilibrium finite elements for the
linear elastic problem . . . . . . . . . 367--383
John B. Kioustelidis A derivative-free transformation
preserving the order of convergence of
iteration methods in case of multiple
zeros . . . . . . . . . . . . . . . . . 385--389
George J. Miel Unified error analysis for Newton-type
methods . . . . . . . . . . . . . . . . 391--396
R. Glowinski and
O. Pironneau On a mixed finite element approximation
of the Stokes problem. I. Convergence of
the approximate solutions . . . . . . . 397--424
K. Veseli\'c and
H. J. Wenzel A quadratically convergent Jacobi-like
method for real matrices with complex
eigenvalues . . . . . . . . . . . . . . 425--435
S. W. Ellacott On the approximate conformal mapping of
multiply connected domains . . . . . . . 437--446
I. Babu\vska and
R. B. Kellogg and
J. Pitkäranta Direct and inverse error estimates for
finite elements with mesh refinements 447--471
D. M. Greig and
M. A. Abd-el-Naby Iterative solutions of nonlinear initial
value differential equations in
Chebyshev series using Lie series . . . 1--13
F. Utreras Diaz Sur le choix du param\`etre d'ajustement
dans le lissage par fonctions spline.
(French) [On the choice of the
adjustment parameter in smoothing by
spline functions] . . . . . . . . . . . 15--28
Jürgen Sprekels Exact bounds for the solution branches
of nonlinear eigenvalue problems . . . . 29--40
I. Babu\vska and
J. Osborn Analysis of finite element methods for
second order boundary value problems
using mesh dependent norms . . . . . . . 41--62
Florian-A. Potra and
Vlastimil Pták Sharp error bounds for Newton's process 63--72
H. Mokhtar-Kharroubi Sur la convergence théorique de la méthode
du gradient réduit généralisé. (French) [On
the theoretical convergence of the
reduced generalized gradient method] . . 73--85
D. M. Greig and
M. A. Abd-el-Naby A series method for solving nonlinear
two-point boundary value problems . . . 87--98
F. Locher Dividierte Differenzen und Monotonie von
Quadraturformeln. (German) [Divided
differences and monotony of quadrature
formulas] . . . . . . . . . . . . . . . 99--109
Erich Bohl Chord techniques and Newton's method for
discrete bifurcation problems . . . . . 111--124
Günther Hämmerlin and
Larry L. Schumaker Procedures for kernel approximation and
solution of Fredholm integral equations
of the second kind . . . . . . . . . . . 125--141
Heinrich N. Mülthei Splineapproximationen von beliebigem
Defekt zur numerischen Lösung gewöhnlicher
Differentialgleichungen. III. (German)
[Spline approximations of arbitrary
defect for the numerical solution of
ordinary differential equations. III] 143--154
W. J. Thron and
H. Waadeland Accelerating convergence of limit
periodic continued fractions
${K}(a_{n}/1)$ . . . . . . . . . . . . . 155--170
Harry Yserentant Die Mehrstellenformeln für den
Laplaceoperator. (German) [The Hermitian
formulas for Laplace's operator] . . . . 171--187
Tetsuro Yamamoto Error bounds for computed eigenvalues
and eigenvectors . . . . . . . . . . . . 189--199
Bernd Schulzendorff Reguläre Zerlegungen und Berechnung des
Spektralradius nichtnegativer Matrizen.
(German) [Regular splittings and
computation of the spectral radius of
nonnegative matrices] . . . . . . . . . 201--216
Susanne Dittrich and
Wolfgang Hackbusch A method of characteristics solving the
initial-boundary value problem of a
hyperbolic differential equation of
second order . . . . . . . . . . . . . . 217--234
J. R. Cash On the integration of stiff systems of
O.D.E.s using extended backward
differentiation formulae . . . . . . . . 235--246
Eldon Hansen Global optimization using interval
analysis --- the multi-dimensional case 247--270
Wilhelm Niethammer Numerical application of Euler's series
transformation and its generalizations 271--283
Michael Crandall and
Andrew Majda The method of fractional steps for
conservation laws . . . . . . . . . . . 285--314
Luis Contesse B. Une caractérisation compl\`ete des minima
locaux en programmation quadratique.
(French) [A complete characterization of
local minima in quadratic programming] 315--332
Jean-Paul Delahaye Algorithmes pour suites non
convergentes. (French) [Algorithms for
nonconvergent sequences] . . . . . . . . 333--347
Harold Greenberg An algorithm for a linear Diophantine
equation and a problem of Frobenius . . 349--352
P. Nelson, Jr. and
H. D. Victory, Jr. Convergence of two-dimensional Nyström
discrete-ordinates in solving the linear
transport equation . . . . . . . . . . . 353--370
J. R. Cash A note on the numerical solution of
linear recurrence relations . . . . . . 371--386
Ian H. Sloan and
William E. Smith Product integration with the
Clenshaw-Curtis points: implementation
and error estimates . . . . . . . . . . 387--401
J. P. Milaszewicz A generalization of the Stein-Rosenberg
theorem to Banach spaces . . . . . . . . 403--409
Peter Jochum The numerical solution of the inverse
Stefan problem . . . . . . . . . . . . . 411--429
D. Meyer and
K. Veseli\'c On some new inclusion theorems for the
eigenvalues of partitioned matrices . . 431--437
Krisorn Jittorntrum and
M. R. Osborne Strong uniqueness and second-order
convergence in nonlinear discrete
approximation . . . . . . . . . . . . . 439--455
K. P. Hadeler Effective computation of periodic orbits
and bifurcation diagrams in delay
equations . . . . . . . . . . . . . . . 457--467
Tommy Elfving Block-iterative methods for consistent
and inconsistent linear equations . . . 1--12
A. K. Aziz and
M. Schneider and
A. Werschulz A finite element method for the Tricomi
problem . . . . . . . . . . . . . . . . 13--20
J. Christiansen and
R. D. Russell Deferred corrections using uncentered
end formulas . . . . . . . . . . . . . . 21--33
Claus Schneider Produktintegration mit
nicht-äquidistanten Stützstellen. (German)
[Product integration with
non-equidistant knots] . . . . . . . . . 35--43
Manfred von Golitschek An algorithm for scaling matrices and
computing the minimum cycle mean in a
digraph . . . . . . . . . . . . . . . . 45--55
E. Hairer Unconditionally stable explicit methods
for parabolic equations . . . . . . . . 57--68
Michael Neumann and
Richard S. Varga On the sharpness of some upper bounds
for the spectral radii of S.O.R.
iteration matrices . . . . . . . . . . . 69--79
P. Rentrop An algorithm for the computation of the
exponential spline . . . . . . . . . . . 81--93
A. O. Griewank Starlike domains of convergence for
Newton's method at singularities . . . . 95--111
H. J. Symm and
J. H. Wilkinson Realistic error bounds for a simple
eigenvalue and its associated
eigenvector . . . . . . . . . . . . . . 113--126
Garth A. Baker and
Vassilios A. Dougalis and
Steven M. Serbin An approximation theorem for
second-order evolution equations . . . . 127--142
Marie-Noëlle Le Roux Méthodes multipas pour des équations
paraboliques non linéaires. (French)
[Multipass methods for nonlinear
parabolic equations] . . . . . . . . . . 143--162
Masatake Mori Analytic representations suitable for
numerical computation of some special
functions . . . . . . . . . . . . . . . 163--174
C. Brezinski A general extrapolation algorithm . . . 175--187
Gerhard Opfer Conformal mappings onto prescribed
regions via optimization techniques . . 189--200
Jutta Weisel Numerische Ermittlung quasikonformer
Abbildungen mit finiten Elementen.
(German) [Numerical determination of
quasiconformal mappings by finite
elements] . . . . . . . . . . . . . . . 201--222
Fridrich Sloboda A generalized conjugate gradient
algorithm for minimization . . . . . . . 223--230
Peter Lory Enlarging the domain of convergence for
multiple shooting by the homotopy method 231--240
Göran Starius On composite mesh difference methods for
hyperbolic differential equations . . . 241--255
Michel Crouzeix Une méthode multipas implicite-explicite
pour l'approximation des équations
d'évolution paraboliques. (French) [A
multipass explicit-implicit method for
the approximation of parabolic
evolutionary equations] . . . . . . . . 257--276
Hans-Detlef D. Mittelmann On the efficient solution of nonlinear
finite element equations. I . . . . . . 277--291
Klaus Ritter On the rate of superlinear convergence
of a class of variable metric methods 293--313
J.-C. Nédélec Mixed finite elements in ${\bf R}^{3}$ 315--341
K. Glashoff and
H. Kreth Vorzeichenstabile Differenzenverfahren
für parabolische Anfangsrandwertaufgaben.
(German) [Sign-stability in difference
schemes for parabolic initial-boundary
value problems] . . . . . . . . . . . . 343--354
D. J. Hartfiel Concerning the Solution Set of $Ax = b$
where $P \le A \le Q$ and $p \le b \le
q$ . . . . . . . . . . . . . . . . . . . 355--359
Joseph M. Lambert An alternative computational method for
the approximation of random functions 361--368
I. Deák Three digit accurate multiple normal
probabilities . . . . . . . . . . . . . 369--380
P. Le Tallec A mixed finite element approximation of
the Navier-Stokes equations . . . . . . 381--404
E. Wagenführer Die Determinantenmethode zur Berechnung
des charakteristischen Exponenten der
endlichen Hillschen
Differentialgleichung. (German) [On the
determinantal method for calculating the
characteristic exponent of the finite
Hill differential equation] . . . . . . 405--420
R. M. M. Mattheij Characterizations of dominant and
dominated solutions of linear recursions 421--442
J. P. Delahaye and
B. Germain-Bonne Résultats négatifs en accélération de la
convergence. (French) [Negative results
in convergence acceleration] . . . . . . 443--457
Qun Lin and
Jia Quan Liu Extrapolation method for Fredholm
integral equations with non-smooth
kernels . . . . . . . . . . . . . . . . 459--464
Henning Esser and
Klaus Niederdrenk Nichtäquidistante Diskretisierungen von
Randwertaufgaben. (German) [Nonuniform
discretizations of boundary value
problems in ODE] . . . . . . . . . . . . 465--478
F. Brezzi and
J. Rappaz and
P. A. Raviart Finite-dimensional approximation of
nonlinear problems. I. Branches of
nonsingular solutions . . . . . . . . . 1--25
F. Aleixo Oliveira Collocation and residual correction . . 27--31
P. Lesaint and
M. Zlámal Convergence of the nonconforming Wilson
element for arbitrary quadrilateral
meshes . . . . . . . . . . . . . . . . . 33--52
Alkiviadis G. Akritas An implementation of Vincent's theorem 53--62
Dario Bini and
Grazia Lotti Stability of Fast Algorithms for Matrix
Multiplication . . . . . . . . . . . . . 63--72
Hans Wilhelm Alt Numerical solution of steady-state
porous flow free boundary problems . . . 73--98
Herbert Arndt Ein verallgemeinerter
Kettenbruch-Algorithmus zur rationalen
Hermite-Interpolation. (German) [A
generalized continued fraction algorithm
for rational Hermite interpolation] . . 99--107
H. Götze and
F. L. Bauer Klaus Samelson: geb. 21.12.1918, gest.
25.5.1980 (German) [Klaus Samelson: born
21.12.1981, died 25.5.1980] . . . . . . 109--109
P. R. Graves-Morris and
T. R. Hopkins Reliable rational interpolation . . . . 111--128
Jean Duchon and
Raoul Robert and
Patrick Witomski Probl\`eme de Dirichlet dans l'image
bilipschitzienne d'un demi-espace.
(French) [The Dirichlet Problem in the
bi-Lipschitz image of a Half-Space] . . 129--149
Karl Scherer On optimal global error bounds obtained
by scaled local error estimates . . . . 151--176
J. J. M. Cuppen A Divide and Conquer Method for the
Symmetric Tridiagonal Eigenproblem . . . 177--195
H. Weber Numerical computation of the Fourier
transform using Laguerre functions and
the fast Fourier transform . . . . . . . 197--209
Hermann König and
Diethard Pallaschke On Khachian's algorithm and minimal
ellipsoids . . . . . . . . . . . . . . . 211--223
Manfred Dobrowolski A mixed finite element method for
solving the nonstationary Stokes
equation . . . . . . . . . . . . . . . . 225--236
Elias A. Lipitakis and
David J. Evans The rate of convergence of an
approximate matrix factorization
semi-direct method . . . . . . . . . . . 237--251
J. R. Cash On the design of high order
exponentially fitted formulae for the
numerical integration of stiff systems 253--266
Kazuo Ishihara A finite element lumped mass scheme for
solving eigenvalue problems of circular
arches . . . . . . . . . . . . . . . . . 267--290
Walter Gander Least squares with a quadratic
constraint . . . . . . . . . . . . . . . 291--307
Jaroslav Kautský Matrices related to interpolatory
quadratures . . . . . . . . . . . . . . 309--318
W. H. Hundsdorfer and
M. N. Spijker A note on $B$-stability of Runge-Kutta
methods . . . . . . . . . . . . . . . . 319--331
Florian-A. Potra and
Vlastimil Pták A generalization of regula falsi . . . . 333--346
Hermann Brunner and
Syvert P. Nòrsett Superconvergence of collocation methods
for Volterra and Abel integral equations
of the second kind . . . . . . . . . . . 347--358
J. Bräuninger A variable metric algorithm for
unconstrained minimization without
evaluation of derivatives . . . . . . . 359--373
Hans-Detlef D. Mittelmann On the efficient solution of nonlinear
finite element equations. II.
Bound-constrained problems . . . . . . . 375--387
Ronald H. W. Hoppe A penalty method for the approximate
solution of stationary Maxwell equations 389--403
Martin H. Gutknecht Solving Theodorsen's integral equation
for conformal maps with the fast Fourier
transform and various nonlinear
iterative methods . . . . . . . . . . . 405--429
E. Hairer Order conditions for numerical methods
for partitioned ordinary differential
equations . . . . . . . . . . . . . . . 431--445
D. F. Paget The numerical evaluation of Hadamard
finite-part integrals . . . . . . . . . 447--453
H. Evéquoz and
Y. Jaccard A nonconforming finite element method to
compute the spectrum of an operator
relative to the stability of a plasma in
toroidal geometry . . . . . . . . . . . 455--465
F. Brezzi and
J. Rappaz and
P. A. Raviart Finite-dimensional approximation of
nonlinear problems. II. Limit points . . 1--28
G. J. Fix and
M. D. Gunzburger and
R. A. Nicolaides On mixed finite element methods for
first-order elliptic systems . . . . . . 29--48
Katrina Bogues and
Corbett R. Morrow and
Thomas N. L. Patterson An implementation of the method of
Ermakov and Zolotukhin for
multidimensional integration and
interpolation . . . . . . . . . . . . . 49--60
Rolf Jeltsch and
Olavi Nevanlinna Stability of explicit time
discretizations for solving initial
value problems . . . . . . . . . . . . . 61--91
F. M. Larkin Root finding by divided differences . . 93--104
Noboru Kikuchi Convergence of a penalty-finite element
approximation for an obstacle problem 105--120
Lois Mansfield Finite element methods for nonlinear
shell analysis . . . . . . . . . . . . . 121--131
D. M. Hough and
N. Papamichael The use of splines and singular
functions in an integral equation method
for conformal mapping . . . . . . . . . 133--147
P. Van der Cruyssen A continued fraction algorithm . . . . . 149--156
Zahari Zlatev Zero-stability properties of the
three-ordinate variable stepsize
variable formula methods . . . . . . . . 157--166
Klaus Böhmer Discrete Newton methods and iterated
defect corrections . . . . . . . . . . . 167--192
M. Bozzini and
L. Lenarduzzi Approximation of multivariable functions
with respect to random points less than
$2^{k}$, $k$ dimension of space . . . . 193--203
P. J. van der Houwen and
H. J. J. te Riele Backward differentiation type formulas
for Volterra integral equations of the
second kind . . . . . . . . . . . . . . 205--217
H. Koßmann Differenzenverfahren zur Berechnung
periodischer Lösungen von hyperbolischen
Differentialgleichungen. (German)
[Finite difference methods for the
computation of periodic solutions of
hyperbolic differential equations] . . . 219--233
H. J. Oberle and
H. J. Pesch Numerical treatment of delay
differential equations by Hermite
interpolation . . . . . . . . . . . . . 235--255
Ivo Babu\vska and
Milo R. Dorr Error estimates for the combined $h$ and
$p$ versions of the finite element
method . . . . . . . . . . . . . . . . . 257--277
R. E. Bank and
D. J. Rose Global approximate Newton methods . . . 279--295
Lloyd N. Trefethen Rational Chebyshev approximation on the
unit disk . . . . . . . . . . . . . . . 297--320
Yvon Maday and
Alfio Quarteroni Legendre and Chebyshev spectral
approximations of Burgers' equation . . 321--332
P. Neittaanmäki and
J. Saranen On finite element approximation of the
gradient for solution of Poisson
equation . . . . . . . . . . . . . . . . 333--337
G. Mühlbach An algorithmic approach to
Hermite-Birkhoff interpolation . . . . . 339--347
Friedrich W. Biegler-König A Newton iteration process for inverse
eigenvalue problems . . . . . . . . . . 349--354
J. R. Cash High order $P$-stable formulae for the
numerical integration of periodic
initial value problems . . . . . . . . . 355--370
H. Braß and
G. Schmeisser Error estimates for interpolatory
quadrature formulae . . . . . . . . . . 371--386
Dietrich Braess The contraction number of a multigrid
method for solving the Poisson equation 387--404
Douglas N. Arnold Discretization by finite elements of a
model parameter dependent problem . . . 405--421
Lois Mansfield On the multigrid solution of finite
element equations with isoparametric
elements . . . . . . . . . . . . . . . . 423--432
Jean-Claude Paumier Une méthode numérique pour le calcul des
points de retournement. Application \`a
un probl\`eme aux limites non-linéaire.
I. Étude théorique et expérimentation de la
méthode. (French) [A numerical method for
the calculation of turning points.
Application to a problem at nonlinear
limits. I. Theoretical and experimental
study of the method] . . . . . . . . . . 433--444
Jean-Claude Paumier Une méthode numérique pour le calcul des
points de retournement. Application \`a
un probl\`eme aux limites non-linéaire.
II. Analyse numérique d'un probl\`eme aux
limites non-linéaire. (French) [A
numerical method for the calculation of
turning points. Application to a problem
at non-linear limits. II. Numerical
analysis of a problem at nonlinear
limits.] . . . . . . . . . . . . . . . . 445--452
Martin Stynes On the construction of sufficient
refinements for computation of
topological degree . . . . . . . . . . . 453--462
F. Brezzi and
J. Rappaz and
P. A. Raviart Finite dimensional approximation of
nonlinear problems. III. Simple
bifurcation points . . . . . . . . . . . 1--30
S. Pissanetzky and
F. G. Basombrío On the numerical errors in one-step
algorithms for time dependent problems 31--37
Dimitri M. Fage The indicatrix method in free boundary
problems . . . . . . . . . . . . . . . . 39--52
J. P. Milaszewicz On fixed point linear equations . . . . 53--59
C. I. Goldstein The finite element method with
nonuniform mesh sizes applied to the
exterior Helmholtz problem . . . . . . . 61--82
Klaus Schittkowski The nonlinear programming method of
Wilson, Han, and Powell with an
augmented Lagrangian type line search
function. I. Convergence analysis . . . 83--114
Klaus Schittkowski The nonlinear programming method of
Wilson, Han, and Powell with an
augmented Lagrangian type line search
function. II. An efficient
implementation with linear least squares
subproblems . . . . . . . . . . . . . . 115--127
Jürgen Fischer An algorithm for discrete linear $L_p$
approximation . . . . . . . . . . . . . 129--139
R. Reemtsen and
C. J. Lozano An approximation technique for the
numerical solution of a Stefan problem 141--154
Wilhelm Hock An extrapolation method with step size
control for nonlinear Volterra integral
equations . . . . . . . . . . . . . . . 155--178
Richard S. Varga and
Da Yong Cai On the ${LU}$ factorization of
${M}$-matrices . . . . . . . . . . . . . 179--192
S. P. Nòrsett and
G. Wanner Perturbed collocation and Runge-Kutta
methods . . . . . . . . . . . . . . . . 193--208
Andrzej Stachurski Superlinear convergence of symmetric
Huang's class of methods . . . . . . . . 209--218
Helmut Kleinmichel Quasi-Newton-Verfahren vom Rang-Eins-Typ
zur Lösung unrestringierter
Minimierungsprobleme. I. Verfahren und
grundlegende Eigenschaften. (German)
[Quasi-Newton methods of rank-one type
for the solution of unconstrained
minimization problems. I. Methods and
general properties] . . . . . . . . . . 219--228
Helmut Kleinmichel Quasi-Newton-Verfahren vom Rang-Eins-Typ
zur Lösung unrestringierter
Minimierungsprobleme. II.
$n$-Schritt-quadratische Konvergenz für
Restart-Varianten. (German)
[Quasi-Newton methods of rank-one-type
for the solution of unconstrained
minimization problems. II. $n$-step
quadratic convergence for restart
variants] . . . . . . . . . . . . . . . 229--244
E. Dollinger Ein linear konvergentes zyklisches
jacobiähnliches Verfahren für beliebige
reelle Matrizen. (German) [A linear
convergent cyclic Jacobi-like method for
arbitrary real matrices] . . . . . . . . 245--253
Dimitri M. Fage The indicatrix method. II . . . . . . . 255--261
Ian H. Sloan Analysis of general quadrature methods
for integral equations of the second
kind . . . . . . . . . . . . . . . . . . 263--278
P. Kaps and
G. Wanner A study of Rosenbrock-type methods of
high order . . . . . . . . . . . . . . . 279--298
Avram Sidi An algorithm for a special case of a
generalization of the Richardson
extrapolation process . . . . . . . . . 299--307
O. Pironneau On the transport-diffusion algorithm and
its applications to the Navier-Stokes
equations . . . . . . . . . . . . . . . 309--332
Jerry W. Lewis Inversion of Tridiagonal Matrices . . . 333--345
Kazuo Murota and
Masao Iri Parameter tuning and repeated
application of the IMT-type
transformation in numerical quadrature 347--363
P. Le Tallec Existence and approximation results for
nonlinear mixed problems: application to
incompressible finite elasticity . . . . 365--382
Wilhelm Werner Some supplementary results on the
$1+\sqrt{2}$ order method for the
solution of nonlinear equations . . . . 383--392
Viorel Arn\uautu Approximation of optimal distributed
control problems governed by variational
inequalities . . . . . . . . . . . . . . 393--416
D. J. Evans and
J. Shanehchi and
C. C. Rick A modified bisection algorithm for the
determination of the eigenvalues of a
symmetric tridiagonal matrix . . . . . . 417--419
Klaus-Jürgen Förster Bemerkungen zur optimalen
Tschebyscheff-Typ Quadratur. (German)
[Remarks on optimal Chebyshev-type
quadratures] . . . . . . . . . . . . . . 421--425
Florian-A. A. Potra An error analysis for the secant method 427--445
Miente Bakker A note on ${C}^\circ$ Galerkin methods
for two-point boundary problems . . . . 447--453
Gerd Pönisch and
Hubert Schwetlick Ein lokal überlinear konvergentes
Verfahren zur Bestimmung von
Rückkehrpunkten implizit definierter
Raumkurven. (German) [A locally
superlinearly convergent method for
computing turning points of implicitly
defined space curves] . . . . . . . . . 455--465
Eckart Gekeler On the stability of backward
differentiation methods . . . . . . . . 467--471
M. Gasca and
J. I. Maeztu On Lagrange and Hermite interpolation in
${\bf R}^{k}$ . . . . . . . . . . . . . 1--14
C. Bernardi Approximation of Hopf bifurcation . . . 15--37
Houde Han The numerical solutions of interface
problems by infinite element method . . 39--50
Maksymilian Dryja A capacitance matrix method for
Dirichlet problem on polygon region . . 51--64
M. von Golitschek Optimal cycles in double weighted graphs
and approximation of bivariate functions
by univariate ones . . . . . . . . . . . 65--84
A. J. Geurts A Contribution to the Theory of
Condition . . . . . . . . . . . . . . . 85--96
J.-C. Nédélec Éléments finis mixtes incompressibles pour
l'équation de Stokes dans ${\bf R}^{3}$.
(French) [Incompressible mixed finite
elements for the Stokes equation in
${\bf R}^{3}$] . . . . . . . . . . . . . 97--112
G. Alefeld On the convergence of the symmetric SOR
method for matrices with red-black
ordering . . . . . . . . . . . . . . . . 113--117
A. Griewank and
Ph. L. Toint Partitioned variable metric updates for
large structured optimization problems 119--137
H. Van de Vel The Haar condition and multiplicity of
zeros . . . . . . . . . . . . . . . . . 139--153
R. Jeltsch and
O. Nevanlinna Erratum: ``Stability of explicit time
discretizations for solving initial
value problems'' [Numer. Math. \bf 37
(1981), no. 1, 61--91 and MR 82g:65042] 155--155
James E. Shirey Minimization of extended quadratic
functions . . . . . . . . . . . . . . . 157--161
G. Alefeld Zur Konvergenz eines Verfahrens von D.
J. Evans zur iterativen Verbesserung
einer Näherung für die inverse Matrix.
(German) [On the convergence of D. J.
Evans' implicit matrix inversion
process] . . . . . . . . . . . . . . . . 163--173
Hang Chin Lai and
Pou Yah Wu Error bounds of Newton type process on
Banach spaces . . . . . . . . . . . . . 175--193
Otto Hübner Über die Anzahl der Lösungen der diskreten
Theodorsen-Gleichung. (German) [On the
number of solutions of the discrete
Theodorsen equation] . . . . . . . . . . 195--204
C. Canuto and
Y. Maday and
A. Quarteroni Analysis of the combined finite element
and Fourier interpolation . . . . . . . 205--220
Zdzis\law Jackiewicz Adams methods for neutral
functional-differential equations . . . 221--230
G. Greaves An algorithm for the Hausdorff moment
problem . . . . . . . . . . . . . . . . 231--238
Alexander Shapiro Optimally Scaled Matrices, Necessary and
Sufficient Conditions . . . . . . . . . 239--245
E. Hairer Constructive characterization of
${A}$-stable approximations to ${\rm
exp}(z)$ and its connection with
algebraically stable Runge-Kutta methods 247--258
J. N. Lyness and
Luigi Gatteschi On quasidegree quadrature rules . . . . 259--267
D. Braess and
E. Zehnder On the numerical treatment of a small
divisor problem . . . . . . . . . . . . 269--292
R. Schaback Fehlerabschätzungen für Koeffizienten von
Exponentialsummen und Polynomen.
(German) [Error estimates for
coefficients of exponential sums and
polynomials] . . . . . . . . . . . . . . 293--307
Moshe Israeli and
Marius Ungarish Improvement of numerical solution of
boundary layer problems by incorporation
of asymptotic approximations . . . . . . 309--324
Mouhamed Nabih El Tarazi Some convergence results for
asynchronous algorithms. (French) [Des
résultats de convergence des algorithmes
asynchrones] . . . . . . . . . . . . . . 325--340
M. M. Chawla and
C. P. Katti Finite difference methods and their
convergence for a class of singular
two-point boundary value problems . . . 341--350
R. Wong Quadrature formulas for oscillatory
integral transforms . . . . . . . . . . 351--360
V. Hari On the global convergence of the
Eberlein method for real matrices . . . 361--369
Laure Reinhart On the numerical analysis of the von
Kármán equations: mixed finite element
approximation and continuation
techniques . . . . . . . . . . . . . . . 371--404
K. Sikorski Optimal quadrature algorithms in
${H}_{p}$ spaces . . . . . . . . . . . . 405--410
Gerhard Opfer Solving complex approximation problems
by semiinfinite-finite optimization
techniques: A study of convergence . . . 411--420
Martin Kütz Monotony in interpolatory quadratures 421--428
A. Griewank and
Ph. L. Toint Local convergence analysis for
partitioned quasi-Newton updates . . . . 429--448
H. N. Mülthei Maximale Konvergenzordnung bei der
numerischen Lösung von
Anfangswertproblemen mit Splines.
(German) [Maximal order of convergence
in the numerical solution of initial
value problems with splines] . . . . . . 449--463
M. Bernadou and
Y. Ducatel Approximation of general arch problems
by straight beam elements (elasticity) 1--29
Moshe Levin Optimal quadrature formula of Markov's
and Locher's type with weight function 31--37
Annie A. M. Cuyt The $\varepsilon$-algorithm and
multivariate Padé-approximants . . . . . 39--46
Wolfgang Rath Fast Givens Rotations for Orthogonal
Similarity Transformations . . . . . . . 47--56
R. E. Funderlic and
M. Neumann and
R. J. Plemmons $LU$ Decompositions of Generalized
Diagonally Dominant Matrices . . . . . . 57--69
H. P. Dikshit and
P. Powar Discrete cubic spline interpolation . . 71--78
B. Döhler Ein neues Gradientenverfahren zur
simultanen Berechnung der kleinsten oder
größten Eigenwerte des allgemeinen
Eigenwertproblems. (German) [A new
gradient method for the simultaneous
calculation of the smallest or largest
eigenvalues of the general eigenvalue
problem] . . . . . . . . . . . . . . . . 79--91
Wolfgang Seewald Quotienten-Differenzen-Algorithmus:
Beweis der Regeln von Rutishauser.
(German) [Quotient-difference algorithm:
proof of Rutishauser's rule] . . . . . .