Last update:
Thu Aug 1 11:55:41 MDT 2019
T. S. Papatheodorou and
M. E. Jesanis Callocation methods for Volterra
integrodifferential equations with
singular kernels . . . . . . . . . . . . 3--8
Avram Sidi Some aspects of two-point Padé
approximants . . . . . . . . . . . . . . 9--17
J. R. Dormand and
P. J. Prince A family of embedded Runge--Kutta
formulae . . . . . . . . . . . . . . . . 19--26
M. M. Konstantinov and
P. Hr. Petkov and
N. D. Christov Synthesis of linear systems with desired
equivalent form . . . . . . . . . . . . 27--35
P. Forsyth, Jr. and
H. Rasmussen High order perturbation solution of the
electrochemical smoothing problem . . . 37--42
J. Oliver On the application of Newbery's
transformation to the Reinsch polynomial
evaluation scheme . . . . . . . . . . . 43--52
F. Cole Forecasting by exponential smoothing,
the Box and Jenkins procedure and
spectral analysis. A simulation study 53--58
G. H. Behforooz and
N. Papamichael End conditions for interpolatory cubic
splines with unequally spaced knots . . 59--65
Jürgen Garloff and
Klaus-Peter Schwierz A bibliography on interval mathematics 67--79
Edgardo Gerck and
Augusto Brandão d'Oliveira Continued fraction calculation of the
eigenvalues of tridiagonal matrices
arising from the Schroedinger equation 81--82
D. Van Dyck and
R. De Ridder and
J. De Sitter The most storage economical Runge--Kutta
methods for the solution of large
systems of coupled first-order
differential equations . . . . . . . . . 83--85
J. B. Campbell The solution by fast Fourier transforms
of Laplace's equation in a toroidal
region with a rectangular cross-section 89--92
Riaz A. Usmani Smooth spline approximations for the
solution of a boundary value problem
with engineering applications . . . . . 93--98
J. D. Anglesio and
B. A. Troesch High precision results for a two-point
boundary value problem . . . . . . . . . 99--103
William B. Jones and
Arne Magnus Computation of poles of two-point Padé
approximants and their limits . . . . . 105--119
Wojciech Siemaszko Branched continued fractions for double
power series . . . . . . . . . . . . . . 121--125
Hiroshi Niki and
Hideo Sawami and
Tetsuya Ondoh Note on the non-stationary iterative
method for the estimation of the optimum
overrelaxation parameter . . . . . . . . 127--131
Wayne Welsh and
Takeo Ojika Multipoint boundary value problems with
discontinuities. I. Algorithms and
applications . . . . . . . . . . . . . . 133--143
J. Oliver An algorithm for numerical
differentiation of a function of one
real variable . . . . . . . . . . . . . 145--160
Aspi Rustom Wadia Note on the eigensolution of a
homogeneous equation with semi-infinite
domain . . . . . . . . . . . . . . . . . 161--165
Bruno Gabutti On the generalization of a method for
computing Bessel function integrals . . 167--168
Aleksander Jablonski A Monte Carlo algorithm for solving
systems of non-linear equations . . . . 171--175
Thomas E. Price, Jr. The numerical approximation of analytic
functions in the complex domain . . . . 177--182
Wayne Welsh and
Takeo Ojika Multipoint boundary value problems with
discontinuities II. Convergence of the
initial value adjusting method . . . . . 183--187
M. M. Chawla and
C. P. Katti Finite difference methods for a class of
two-point boundary value problems with
mixed boundary conditions . . . . . . . 189--196
C. Pescatore and
R. J. Cole A method for predicting the stability
characteristics of three-term
homogeneous recurrence relations . . . . 197--199
Carol A. Niznik A numerical analysis of two point
boundary value problem algorithms . . . 201--211
Yudell L. Luke Computations of coefficients in the
polynomials of Padé approximations by
solving systems of linear equations . . 213--218
A. R. Mitchell and
D. F. Griffiths Upwinding by Petron--Galerkin methods in
convection--diffusion problems . . . . . 219--228
J. Oliver The selection of interpolation points in
the numerical approximation of second
and third order derivatives . . . . . . 229--239
Charles B. Dunham A Fortran program for discrete nonlinear
Chebyshev approximation . . . . . . . . 241--245
P. R. Graves-Morris A generalised Q.D. algorithm . . . . . . 247--249
A. S. I. Zinober and
E. Huntley The numerical solution of linear
time-dependent partial differential
equations by the Laplace transform and
finite difference approximations . . . . 253--258
A. Bultheel Division algorithms for continued
fractions and the Padé table . . . . . . 259--266
G. den Broeder Between Newton and Cauchy: the diagonal
variable metric method; theory and test
results . . . . . . . . . . . . . . . . 267--273
M. J. Rijckaert Book Review: \booktitleAlgorithmic graph
theory and perfect graphs: Martin C.
Golumbic. New York, Academic Press,
1980, 24 cm $ \times $ 16 cm, 284 pages,
price \$29.50} . . . . . . . . . . . . . 274--274
A. Wambecq Solution of the equations associated
with rational Runge--Kutta methods of
orders up to four . . . . . . . . . . . 275--281
R. Van der Borght A numerical study of non-linear
convection in a compressible medium . . 283--294
A. C. Genz and
A. A. Malik Remarks on Algorithm 006: an adaptive
algorithm for numerical integration over
an $N$-dimensional rectangular region 295--302
P. P. N. de Groen A finite element method with a large
mesh-width for a stiff two-point
boundary value problem . . . . . . . . . 3--15
Sedat Biringen A note on the numerical stability of the
convection--diffusion equation . . . . . 17--20
Layne T. Watson Numerical study of porous channel flow
in a rotating system by a homotopy
method . . . . . . . . . . . . . . . . . 21--26
N. M. Temme On the expansion of confluent
hypergeometric functions in terms of
Bessel functions . . . . . . . . . . . . 27--32
Lawrence F. Shampine Efficient use of implicit formulas with
predictor--corrector error estimate . . 33--35
Avram Sidi A new method for deriving Padé
approximants for some hypergeometric
functions . . . . . . . . . . . . . . . 37--40
Donald Greenspan A new computer approach to the modeling
of atoms, ions and molecules: Part I ---
Hydrogen . . . . . . . . . . . . . . . . 41--49
Edward Neuman Moments and Fourier transforms of
B-splines . . . . . . . . . . . . . . . 51--62
Frank G. Lether Some observations on Gauss--Legendre
quadrature error estimates for analytic
functions . . . . . . . . . . . . . . . 63--66
P. J. Prince and
J. R. Dormand High order embedded Runge--Kutta
formulae . . . . . . . . . . . . . . . . 67--75
Elias A. Lipitakis A normalized algorithm for the solution
of sparse symmetric seven-diagonal
linear systems of semi-bandwidths $M$
and $P$ . . . . . . . . . . . . . . . . 77--84
P. Baratella and
M. Garetto and
G. Vinardi Approximation of the Bessel function $
J_\nu (x) $ by numerical integration . . 87--91
David Benjamin Clegg On Newton's method with a class of
rational functions . . . . . . . . . . . 93--100
N. Papamichael and
A. J. Worsey End conditions for improved cubic spline
derivative approximations . . . . . . . 101--109
U. Anantha Krishnaiah Inverse linear multistep methods for the
numerical solution of initial value
problems of second order differential
equations . . . . . . . . . . . . . . . 111--114
A. Aziz and
T. Y. Na A numerical scheme for unsteady flow of
a viscous fluid between elliptic plates 115--119
Baruch Cahlon Numerical solution of non-linear
Volterra integral equations . . . . . . 121--128
Donald Greenspan A new computer approach to the modelling
of atoms and molecules. Part II. The
oxygen molecule O$_2$ . . . . . . . . . 129--133
R. T. Baumel and
J. L. Gammel and
J. Nuttall Placement of cuts in Padé-like
approximation . . . . . . . . . . . . . 135--140
N. N. Abdelmalek Computer program for the discrete linear
restricted Chebyshev approximation . . . 141--150
J. H. McCabe Two-point Padé approximants and the
quotient difference algorithm . . . . . 151--153
Gary L. Wise and
Neal C. Gallagher A novel approach for the computation of
orthonormal polynomial expansions . . . 157--160
Peter J. Rousseeuw and
Elvezio Ronchetti Influence curves of general statistics 161--166
B. Drachman and
C. I. Chuang A table of two hundred zeros of the
derivative of the modified Bessel
function $ K_n(z) $ and a graph of their
distribution . . . . . . . . . . . . . . 167--171
A. Galperin and
Z. Waksman A separable integer programming problem
equivalent to its continual version . . 173--179
R. C. Y. Chin On the matched asymptotic solution of
the Troesch problem . . . . . . . . . . 181--185
N. Papamichael and
A. J. Worsey A cubic spline method for the solution
of a linear fourth-order two-point
boundary value problem . . . . . . . . . 187--189
P. R. Graves-Morris The convergence of ray sequences of Padé
approximants of Stieltjes functions . . 191--201
Dirk Roose and
Elise De Doncker Automatic integration over a sphere . . 203--224
Günter Meinardus On the sequence of the powers of a given
matrix . . . . . . . . . . . . . . . . . 225--226
L. Graney and
A. A. Richardson The numerical solution of non-linear
partial differential equations by the
method of lines . . . . . . . . . . . . 229--236
Guido Claessens A generalization of the QD algorithm . . 237--247
Jesus S. Dehesa Lanczos method of tridiagonalization,
Jacobi matrices and physics . . . . . . 249--259
G. Avdelas and
D. J. Evans and
A. Hadjidimos Second order Chebyshev semi-iteration in
connection with $p$-parametric E.A.D.I.
schemes . . . . . . . . . . . . . . . . 261--266
Hans U. Gerber and
Marc Goovaerts and
Nelson DePril The Wiener process with drift between a
linear retaining and an absorbing
barrier . . . . . . . . . . . . . . . . 267--269
J. H. McCabe Perron fractions: an algorithm for
computing the Padé table . . . . . . . . 271--275
Joachim Gwinner Bibliography on non-differentiable
optimization and non-smooth analysis . . 277--285
Selim G. Akl On the expected number of optimal and
near-optimal solutions to the Euclidean
travelling salesman problem . . . . . . 287--288
N. I. Ioakimidis One more approach to the computation of
Cauchy principal value integrals . . . . 289--291
H.-M. Hebsaker Conditions for the coefficients of
Runge--Kutta methods for systems of
$n$-th order differential equations . . 3--14
Hiroshi Niki and
Hideo Sawami and
Masatoshi Ikeuchi and
Naotaka Okamoto The alpha interpolation method for the
solution of an eigenvalue problem . . . 15--19
J. D. Day and
D. N. P. Murthy An L( a )-stable fourth order Rosenbrock
method with error estimator . . . . . . 21--27
A. R. Barnett High-precision evaluation of the regular
and irregular Coulomb wavefunctions . . 29--33
A. J. Hughes Hallett Alternative techniques for solving
systems of nonlinear equations . . . . . 35--48
Roch Ouellet A general model for the measurement of
traveller flows . . . . . . . . . . . . 49--50
M. S. Petkovi\'c On an iterative method for simultaneous
inclusion of polynomial complex zeros 51--56
Holger Mettke and
Eckehard Pfeifer and
Edward Neuman Quadratic spline interpolation with
coinciding interpolation and spline
grids . . . . . . . . . . . . . . . . . 57--62
E. Dick Local modal analysis of unsteady
discrete systems with nodal equations of
unequal form . . . . . . . . . . . . . . 63--67
J. Astin Comment ``On the sequence of the powers
of a given matrix'' . . . . . . . . . . 69--69
J. D. Gribble Inner product quadrature formulas exact
on maximal product spaces of functions 73--79
N. I. Ioakimidis On the quadrature methods for the
numerical solution of singular integral
equations . . . . . . . . . . . . . . . 81--86
A. Bignami and
E. Cupini A Monte Carlo method for finite
difference equations of elliptic type in
a multiregion domain . . . . . . . . . . 87--92
Yudell L. Luke A note on evaluation of coefficients in
the polynomials of Padé approximants by
solving systems of linear equations . . 93--99
U. Anantha Krishnaiah Adaptive methods for periodic initial
value problems of second order
differential equations . . . . . . . . . 101--104
T. R. Hopkins On the sensitivity of the coefficients
of Padé approximants with respect to
their defining power series coefficients 105--109
Diego A. Murio On the estimation of the boundary
temperature on a sphere from
measurements at its center . . . . . . . 111--119
F. De Vylder and
M. J. Goovaerts Upper bounds for ruin probabilities in a
new general risk model, by the
martingales method . . . . . . . . . . . 121--126
A. Klein An explicit expression for the
discrete-time fixed-lag smoothing
equation . . . . . . . . . . . . . . . . 127--129
Peter Henrici Pointwise error estimates for
trigonometric interpolation and
conjugation . . . . . . . . . . . . . . 131--132
Charles B. Dunham Weighted discrete nonlinear Chebyshev
approximation . . . . . . . . . . . . . 133--133
M. M. Chawla and
C. P. Katti A new symmetric five-diagonal finite
difference method for computing
eigenvalues of fourth-order two-point
boundary value problems . . . . . . . . 135--136
P. W. Hemker A note on defect correction processes
with an approximate inverse of deficient
rank . . . . . . . . . . . . . . . . . . 137--139
I. C. Rae On Laplacian integrals with singular
kernels . . . . . . . . . . . . . . . . 141--141
Ravi P. Agarwall and
G. Akrivis Boundary value problems occurring in
plate deflection theory . . . . . . . . 145--154
S. Thompson The non-existence of certain $ A_0
$-stable Adams-type correctors . . . . . 155--157
E. A. Hosny and
M. I. Sobhy An algorithm for the calculation of
transfer functions of two variable
systems or networks . . . . . . . . . . 159--164
P. Neittaanmäki and
J. Saranen A modified least squares FE-method for
ideal fluid flow problems . . . . . . . 165--169
Horst Hamacher Optimal cocircuits in regular matroids
and applications . . . . . . . . . . . . 171--177
P. van der Cruyssen Discussion of algorithms for the
computation of generalized continued
fractions . . . . . . . . . . . . . . . 179--186
J. Beirlant and
E. J. Dudewicz and
E. C. van der Meulen Complete statistical ranking of
populations, with tables and
applications . . . . . . . . . . . . . . 187--201
I. Kiessling and
A. Paulik A norm-reducing Jacobi-like algorithm
for the eigenvalues of non-normal
matrices . . . . . . . . . . . . . . . . 203--207
Nobuko Sagara and
Toshio Odanaka and
Tsutomu Arimizu Invariant imbedding and the
identification of aquifer parameters . . 209--212
Hermann Brunner A survey of recent advances in the
numerical treatment of Volterra integral
and integro-differential equations . . . 213--229
M. Lal and
D. Moffatt Picard's successive approximation for
non-linear two-point boundary-value
problems . . . . . . . . . . . . . . . . 233--236
D. J. Evans and
S. O. Okolie The numerical solution of an elliptic
P.D.E. with periodic boundary conditions
in a rectangular region by the spectral
resolution method . . . . . . . . . . . 237--241
Alan C. Lazer and
Anthony W. Leung and
Diego A. Murio Monotone scheme for finite difference
equations concerning steady-state
prey-predator interactions . . . . . . . 243--252
S. Thompson Stiffly stable fourth order Adams-type
methods . . . . . . . . . . . . . . . . 253--256
Hiroshi Niki and
Masatoshi Ikeuchi and
Hideo Sawami On the accelerated iterative method for
estimating the optimum overrelaxation
parameter . . . . . . . . . . . . . . . 257--266
E. Dick Overrelaxation methods for hybrid
systems of first order partial
differential equations . . . . . . . . . 267--273
Allan J. Macleod A comparison of algorithms for
polynomial interpolation . . . . . . . . 275--277
Theodore A. Bickart $F$-stable and $ F[\alpha,
\beta]$-stable integration/interpolation
methods in the solution of retarded
differential-difference equations . . . 279--284
T. S. Papatheodorou Inverses for a class of banded matrices
and applications to piecewise cubic
approximation . . . . . . . . . . . . . 285--288
M. Calvo and
M. Mar Quemada On the stability of rational Runge Kutta
methods . . . . . . . . . . . . . . . . 289--292
M. Deville and
G. Labrosse An algorithm for the evaluation of
multidimensional (direct and inverse)
discrete Chebyshev transforms . . . . . 293--304
P. Hellemans A numerical solution of the Cauchy
problem based on trigonometric
interpolation . . . . . . . . . . . . . 305--306
Anonymous Erratum: ``Optimal cocircuits in regular
matroids and applications'' [J. Comput.
Appl. Math. \bf 8(3) 171--177 (1982)] 308--308
Anonymous Editorial board . . . . . . . . . . . . vi--vi
M. J. Goovaerts and
W. B. Gragg and
L. Wuytack Editorial . . . . . . . . . . . . . . . 1--1
Egon Balas and
Christian Bergthaller Benders's method revisited . . . . . . . 3--12
C. de Boor and
K. Höllig Bivariate box splines and smooth pp
functions on a three direction mesh . . 13--28
K. O. Bowman and
L. R. Shenton Continued fractions and the polygamma
functions . . . . . . . . . . . . . . . 29--39
P. J. van der Houwen and
H. B. de Vries A fourth order ADI method for
semidiscrete parabolic equations . . . . 41--63
M. S. Petkovi\'c and
G. V. Milovanovi\'c A note on some improvements of the
simultaneous methods for determination
of polynomial zeros . . . . . . . . . . 65--69
Martin Hermann The numerical treatment of perturbed
bifurcation problems in ordinary
differential equations . . . . . . . . . 71--80
N. S. Kambo and
R. K. Jain and
Rakesh Goel A fourth order method for $ y'' = f(x,
y, y') $ . . . . . . . . . . . . . . . . 81--90
Anonymous List of algorithms: (Journal CAM,
1975--1982) . . . . . . . . . . . . . . 91--92
Anonymous List of bibliographies: (Journal CAM,
1975--1982) . . . . . . . . . . . . . . 93--93
J. Greydanus and
H. Rasmussen Numerical solution of a Rayleigh--Taylor
instability problem . . . . . . . . . . 97--103
William B. Jones and
Olav Njåstad and
W. J. Thron Two-point Padé expansions for a family of
analytic functions . . . . . . . . . . . 105--123
J. H. McCabe On an asymptotic series and
corresponding continued fraction for a
gamma function ratio . . . . . . . . . . 125--130
Herbert E. Salzer Note on the Do\vcev--Grosswald
asymptotic series for generalized Bessel
polynomials . . . . . . . . . . . . . . 131--135
Wojciech Siemaszko Thiele-type branched continued fractions
for two-variable functions . . . . . . . 137--153
N. Papamichael and
M. K. Warby and
D. M. Hough The determination of the poles of the
mapping function and their use in
numerical conformal mapping . . . . . . 155--166
Elias A. Lipitakis Direct and approximate algorithmic
methods for solving self-adjoint
elliptic PDEs in three-space dimensions 167--176
H. A. Watts Starting step size for an ODE solver . . 177--191
C. R. Garibotti and
F. F. Grinstein Recent results relevant to the
evaluation of infinite series . . . . . 193--200
David W. Kammler A perturbation analysis of the intrinsic
conditioning of an approximate null
vector computed with a SVD . . . . . . . 201--204
Holger Mettke Convex cubic HERMITE-spline
interpolation . . . . . . . . . . . . . 205--211
J. D. Day and
D. N. P. Murthy A comparison of some ODE solvers which
require Jacobian evaluations . . . . . . 213--219
Carla Giordano and
Andrea Laforgia Elementary approximations for zeros of
Bessel functions . . . . . . . . . . . . 221--228
Moody T. Chu An automatic multistep method for
solving stiff initial value problems . . 229--238
M. A. Broom and
T. R. Hopkins Peripheral and ADI hopscotch methods for
two dimensional parabolic and elliptic
equations with a mixed term . . . . . . 239--245
J. F. Mahoney and
B. D. Sivazlian Partial fractions expansion: a review of
computational methodology and efficiency 247--269
Marcel G. de Bruin New convergence results for continued
fractions generated by four-term
recurrence relations . . . . . . . . . . 271--278
Peter J. Rousseeuw Optimal search paths for random
variables . . . . . . . . . . . . . . . 279--286
Elias A. Lipitakis A normalized sparse linear equations
solver . . . . . . . . . . . . . . . . . 287--298
B. S. N. Murty and
Asghar Husain Orthogonality correction in the
conjugate-gradient method . . . . . . . 299--304
Ayse Alaylio\uglu Numerical evaluation of finite Fourier
integrals . . . . . . . . . . . . . . . 305--313
Ravi P. Agarwal Contraction and approximate contraction
with an application to multi-point
boundary value problems . . . . . . . . 315--325
M. F. A. Barakat On the product solutions of
Sturm--Liouville equations with many
parameters in a space of the type $ L_2
$ . . . . . . . . . . . . . . . . . . . 327--331
Marc Prevost Padé-type approximants with orthogonal
generating polynomials . . . . . . . . . 333--346
Paul Sablonniere A new family of Padé-type approximants in
$x$ . . . . . . . . . . . . . . . . . . 347--359
R. K. Jain and
N. S. Kambo and
Rakesh Goel High-order one-step $P$-stable methods
for the numerical integration of
periodic initial value problems . . . . 361--367
Claude Brezinski Recursive interpolation, extrapolation
and projection . . . . . . . . . . . . . 369--376
B. M. Herbst and
S. W. Schoombie and
A. R. Mitchell Equidistributing principles in moving
finite element methods . . . . . . . . . 377--389
Anonymous Author index to volume 9 (1983) . . . . 391--392
Anonymous Editorial Board . . . . . . . . . . . . ii--ii
T. H. C. Chen Asymptotic estimates for the generalized
Fourier coefficients . . . . . . . . . . 1--5
Clark R. Givens and
Chi Yeung Lo Series expansions of solutions of $
u_{xx} + (2 \nu x) u_x + \epsilon^2
u_{tt} = u_t $ . . . . . . . . . . . . . 7--23
Pedro O. Cubillos Integral operators with Green's function
type kernel . . . . . . . . . . . . . . 25--31
B. Neta and
C. H. Ford Families of methods for ordinary
differential equations based on
trigonometric polynomials . . . . . . . 33--38
Hoon Liong Ong Finite element solution to the second
order elliptic problems . . . . . . . . 39--43
Hoon Liong Ong Fast approximate solution of large scale
sparse linear systems . . . . . . . . . 45--54
P. J. van der Houwen and
B. P. Sommeijer Stability in linear multistep methods
for pure delay equations . . . . . . . . 55--63
Christoph Maas A lower bound for the interval number of
a graph . . . . . . . . . . . . . . . . 65--69
A. N. Al-Mutib Stability properties of numerical
methods for solving delay differential
equations . . . . . . . . . . . . . . . 71--79
T. P. Dreyer and
D. M. Murray The numerical solution of the
pre-elimination models of cable
configurations . . . . . . . . . . . . . 81--91
N. Papamichael and
M. K. Warby Pole-type singularities and the
numerical conformal mapping of
doubly-connected domains . . . . . . . . 93--106
P. R. Graves-Morris Symmetrical formulas for rational
interpolants . . . . . . . . . . . . . . 107--111
G. Honig and
U. Hirdes A method for the numerical inversion of
Laplace transforms . . . . . . . . . . . 113--132
Anonymous Errata: J. Compute. Appl. Math. \bf 9:
N. S. Kambo, R. K. Jain and R. Goel, A
fourth order method for $ y'' = f(x, y,
y') $, (1983) 81--90 . . . . . . . . . . 133--133
Anonymous Errata: J. Comput. Appl. Math. \bf 9: H.
E. Salzer, Note on the
Do\vcev--Grosswald asymptotic series for
generalized Bessel polynomials, (1983)
131--135 . . . . . . . . . . . . . . . . 133--133
J. S. Phelps III and
M. J. Funcheon Solutions of a transcendental equation
basic to the study of composite media
heat transfer . . . . . . . . . . . . . 135--139
I. M. Longman Some aspects of the finite moment
problem . . . . . . . . . . . . . . . . 141--146
Masao Fukushima On the convergence of a class of outer
approximation algorithms for convex
programs . . . . . . . . . . . . . . . . 147--156
Nobuko Sagara and
Masao Fukushima A continuation method for solving
separable nonlinear least squares
problems . . . . . . . . . . . . . . . . 157--161
M. M. Chawla and
S. R. Sharma Absolute stability of explicit
Runge--Kutta--Nyström methods for $ y'' =
f(x, y, y') $ . . . . . . . . . . . . . 163--168
G. Sottas Rational Runge--Kutta methods are not
suitable for stiff systems of ODEs . . . 169--174
Robert L. Manicke Unique solutions of systems of
second-order nonlinear two-point
boundary-value problems . . . . . . . . 175--178
H. B. De Vries A comparative study of ADI splitting
methods for parabolic equations in two
space dimensions . . . . . . . . . . . . 179--193
F. A. Howes An analytical treatment of the formation
of one-dimensional steady shock waves in
uniform and diverging ducts . . . . . . 195--201
Ravi P. Agarwal and
Y. M. Chow Iterative methods for a fourth order
boundary value problem . . . . . . . . . 203--217
Michael Eiermann On the convergence of Padé-type
approximants to analytic functions . . . 219--227
K. O. Bowman and
H. K. Lam and
L. R. Shenton Bounds for the expectation of the $k$-th
root of a random variable . . . . . . . 229--244
K. O. Bowman and
H. K. Lam and
L. R. Shenton Bounds for certain integrals . . . . . . 245--254
Wolfgang Dahmen and
Charles A. Micchelli On the optimal approximation rates for
criss-cross finite element spaces . . . 255--273
A. Bellen One-step collocation for delay
differential equations . . . . . . . . . 275--283
A. J. Hughes Hallett Second-order iterations with guaranteed
convergence . . . . . . . . . . . . . . 285--291
M. L. Glasser On some integrals arising in
mathematical physics . . . . . . . . . . 293--299
A. Bultheel Recursive relations for block Hankel and
Toeplitz systems. Part I: Direct
recursions . . . . . . . . . . . . . . . 301--328
A. Bultheel Recursive relations for block Hankel and
Toeplitz systems part II: Dual
recursions . . . . . . . . . . . . . . . 329--354
C. C. Grosjean The orthogonality property of the Lommel
polynomials and a twofold infinity of
relations between Rayleigh's $ \sigma
$-sums . . . . . . . . . . . . . . . . . 355--382
Charles B. Dunham The linear inequality method for
rational approximation with
interpolation . . . . . . . . . . . . . 383--383
Jerry Segercrantz On the existence of conjugate points for
a constrained minimization problem . . . 385--386
Anonymous Author index to volume 10 (1984) . . . . 387--388
Anonymous Master index to volumes 1--10 . . . . . 389--405
Anonymous Editorial Board . . . . . . . . . . . . ii--ii
R. F. Cameron and
S. McKee Product integration methods for
second-kind Abel integral equations . . 1--10
Nader Zamani and
Farhad Nafeiy Finite element formulation of thermal
boundary layers . . . . . . . . . . . . 11--26
V. S. Manoranjan and
A. R. Mitchell and
B. D. Sleeman and
Kuo Pen Yu Bifurcation studies in
reaction--diffusion . . . . . . . . . . 27--38
Elias A. Lipitakis The use of second degree normalized
implicit conjugate gradient methods for
solving large sparse systems of linear
equations . . . . . . . . . . . . . . . 39--48
George A. Baker, Jr. Invariance properties in Hermite--Padé
approximation theory . . . . . . . . . . 49--56
K. O. Bowman and
H. K. Lam and
L. R. Shenton Bounds for integrals using segments . . 57--68
John E. Lavery Local convergence of the method of
pseudolinear equations for quasilinear
elliptic boundary-value problems . . . . 69--82
R. A. Cuninghame-Green and
R. E. Burkard Eigenfunctions and optimal orbits . . . 83--94
Annie Cuyt and
L. Wuytack and
H. Werner On the continuity of the multivariate
Padé operator . . . . . . . . . . . . . . 95--102
A. Bultheel On the ill conditioning of locating
transmission zeros in least squares ARMA
filtering . . . . . . . . . . . . . . . 103--118
Robert Piessens and
Maria Branders Algorithm for the computation of Bessel
function integrals . . . . . . . . . . . 119--137
Charles B. Dunham Stability of the linear inequality
method for rational Chebyshev
approximation . . . . . . . . . . . . . 139--143
J. E. Drummond Convergence speeding, convergence and
summability . . . . . . . . . . . . . . 145--159
S. L. Loi and
A. W. McInnes An algorithm for the quadratic
approximation . . . . . . . . . . . . . 161--174
Lothar Reichel On the determination of boundary
collocation points for solving some
problems for the Laplace operator . . . 175--196
Lawrence F. Shampine and
Lorraine S. Baca Error estimators for stiff differential
equations . . . . . . . . . . . . . . . 197--207
Carol A. Niznik Min-max vs. max-min flow control
algorithms for optimal computer network
capacity assignment . . . . . . . . . . 209--224
G. Adomian Convergent series solution of nonlinear
equations . . . . . . . . . . . . . . . 225--230
M. E. Dyer and
N. Kayal and
J. Walker A branch and bound algorithm for solving
the multiple-choice knapsack problem . . 231--249
Shlomo Breuer and
Gideon Zwas Rectified approximations for the
solution of nonlinear equations . . . . 251--258
M. M. Chawla and
R. Subramanian Regions of absolute stability of
explicit Runge--Kutta--Nyström methods
for $ y'' = f(x, y, y') $ . . . . . . . 259--266
N. I. Ioakimidis A remark on the application of
interpolatory quadrature rules to the
numerical solution of singular integral
equations . . . . . . . . . . . . . . . 267--276
M. M. Chawla and
P. S. Rao A Noumerov-type method with minimal
phase-lag for the integration of second
order periodic initial-value problems 277--281
T. D. Bui and
A. K. Oppenheim and
D. T. Pratt Recent advances in methods for numerical
solution of O.D.E. initial value
problems . . . . . . . . . . . . . . . . 283--296
K. Zi\ketak The Chebyshev approximation of a
rectangular matrix by matrices of
smaller rank as the limit of $
l_p$-approximation . . . . . . . . . . . 297--305
V. S. Manoranjan Bifurcation studies in
reaction--diffusion II . . . . . . . . . 307--314
J. D. Day Run time estimation of the spectral
radius of Jacobians . . . . . . . . . . 315--323
P. J. de Doelder On the Clausen integral $ {\rm Cl}_2
(\Theta) $ and a related integral . . . 325--330
C. C. Grosjean Formulae concerning the computation of
the Clausen integral $ {\rm Cl}_2
(\Theta) $ . . . . . . . . . . . . . . . 331--342
J. A. Shanks On forming the Romberg table . . . . . . 343--351
Ayse Alaylio\uglu and
D. S. Lubinsky and
D. Eyre Product integration of logarithmic
singular integrands based on cubic
splines . . . . . . . . . . . . . . . . 353--366
Willi Freeden Spherical spline interpolation-basic
theory and computational aspects . . . . 367--375
Holger Mettke Convex cubic HERMITE-spline
interpolation . . . . . . . . . . . . . 377--378
G. Adomian On the convergence region for
decomposition solutions . . . . . . . . 379--380
J. D. Day On minimum configuration Rosenbrock
methods . . . . . . . . . . . . . . . . 381--383
Anonymous Author index to volume 11 (1984) . . . . 385--386
F. Broeckx and
M. Goovaerts and
R. Piessens and
L. Wuytack Preface . . . . . . . . . . . . . . . . vii--vii
Anonymous List of invited speakers . . . . . . . . viii--viii
Anonymous List of talks . . . . . . . . . . . . . ix--xiv
O. Axelsson Incomplete block matrix factorization
preconditioning methods. The ultimate
answer? . . . . . . . . . . . . . . . . 3--18
Claude Brezinski Convergence acceleration methods: the
past decade . . . . . . . . . . . . . . 19--36
Jane Cullum and
Ralph A. Willoughby A survey of Lanczos procedures for very
large real `symmetric' eigenvalue
problems . . . . . . . . . . . . . . . . 37--60
Walter Gautschi Orthogonal polynomials --- Constructive
theory and applications . . . . . . . . 61--76
C. W. Gear and
B. Leimkuhler and
G. K. Gupta Automatic integration of Euler--Lagrange
equations with constraints . . . . . . . 77--90
Rolf Jeltsch Stability and accuracy of difference
schemes for hyperbolic problems . . . . 91--108
J. N. Lyness Integrating some infinite oscillating
tails . . . . . . . . . . . . . . . . . 109--117
Masatake Mori Quadrature formulas obtained by variable
transformation and the DE-rule . . . . . 119--130
Ian H. Sloan Lattice methods for multiple integration 131--143
P. J. Van Der Houwen and
B. S. Sommeijer High order difference schemes with
reduced dispersion for hyperbolic
differential equations . . . . . . . . . 145--161
Ren-Hong Wang The dimension and basis of spaces of
multivariate splines . . . . . . . . . . 163--177
T. Yamamoto A unified derivation of several error
bounds for Newton's process . . . . . . 179--191
M. Bozzini and
F. de Tisi and
L. Lenarduzzi Reduced set of leads for
electrocardiography, maintaining
significant information . . . . . . . . 195--206
R. Caluwaerts An automatic procedure for the
calculation of bifurcation points of
integral equations . . . . . . . . . . . 207--215
M. M. Chawla Superstable two-step methods for the
numerical integration of general second
order initial value problems . . . . . . 217--220
Annie A. M. Cuyt A review of multivariate Padé
approximation theory . . . . . . . . . . 221--232
G. R. Dargahi-Noubary On evaluation of the effects of
earthquake and wind on reliability of a
structure . . . . . . . . . . . . . . . 233--237
G. De Mey The auxiliary boundary element method
for time dependent problems . . . . . . 239--245
E. Dick A multigrid method for the
Cauchy--Riemann equations based on
flux-difference splitting and its
extension to the steady Euler equations 247--263
B. Döring On the zeros of Flett's function . . . . 265--270
Ibrahim H. El-Sirafy Two-dimensional flow of a nonstationary
micropolar fluid in the half-plane for
which the shear stresses are given on
the boundary . . . . . . . . . . . . . . 271--276
C. C. Grosjean and
M. J. Goovaerts On the series expansion of certain types
of integral transforms --- Part I . . . 277--298
C. C. Grosjean Theory of recursive generation of
systems of orthogonal polynomials: an
illustrative example . . . . . . . . . . 299--318
A. Hadjidimos Optimum iterative methods for the
solution of singular linear systems
arising from the discretization of
elliptic P.D.E.'s . . . . . . . . . . . 319--329
M. Hatzopoulos and
N. M. Missirlis Advantages for solving linear systems in
an asynchronous environment . . . . . . 331--340
Per Christian Hansen and
Sòren Christiansen An SVD analysis of linear algebraic
equations derived from first kind
integral equations . . . . . . . . . . . 341--357
D. M. Hough Jacobi polynomial solutions of first
kind integral equations for numerical
conformal mapping . . . . . . . . . . . 359--369
Masao Igarashi Practical stopping rule for finding
roots of nonlinear equations . . . . . . 371--380
Masatoshi Ikeuchi and
Michio Sakakihara Boundary elements in steady convective
diffusion problems . . . . . . . . . . . 381--389
S. Joe Collocation methods using piecewise
polynomials for second kind integral
equations . . . . . . . . . . . . . . . 391--400
William B. Jones and
W. J. Thron On the computation of incomplete gamma
functions in the complex domain . . . . 401--417
J. P. Lambert Quasi-Monte Carlo, low discrepancy
sequences, and ergodic transformations 419--423
Dirk P. Laurie Practical error estimation in numerical
integration . . . . . . . . . . . . . . 425--431
M. R. Farmer and
G. Loizou An algorithm for the computation of
zeros of a special class of entire
functions . . . . . . . . . . . . . . . 433--445
I. M. Longman The summation of power series and
Fourier series . . . . . . . . . . . . . 447--457
Christoph Maas Computing and interpreting the adjacency
spectrum of traffic networks . . . . . . 459--466
Alphonse Magnus and
Régis Chauvaux On the discretisation of the double
layer integral operator for surfaces of
revolution . . . . . . . . . . . . . . . 467--473
Olavi Nevanlinna Matrix valued versions of a result of
von Neumann with an application to time
discretization . . . . . . . . . . . . . 475--489
H. Niessner and
M. Ribaut Condition of boundary integral equations
arising from flow computations . . . . . 491--503
C. Potier and
C. Vercken Surface smoothing with finite elements 505--509
E. L. Ortiz and
K.-S. Pun Numerical solution of nonlinear partial
differential equations with the Tau
method . . . . . . . . . . . . . . . . . 511--516
D. Roose An algorithm for the computation of Hopf
bifurcation points in comparison with
other methods . . . . . . . . . . . . . 517--529
W. G. Rudd and
Chien J. Wang and
Wu Peng Efficient integration over polytopes . . 531--540
Paul Sablonniere Composite finite elements of class $ C^k
$ . . . . . . . . . . . . . . . . . . . 541--550
W. F. Smyth Algorithms for the reduction of matrix
bandwidth and profile . . . . . . . . . 551--561
M. N. Spijker Feasibility and contractivity in
implicit Runge--Kutta methods . . . . . 563--578
George Steiner An algorithm for minimizing setups in
precedence constrained scheduling . . . 579--589
Robert L. Sternberg and
Robert B. Grafton and
Donald R. Childs On a numerical minimization problem for
a new class of nonlinear partial
differential equations arising in
nonspherical geometrical optics and
beamforming lenticular antennas . . . . 591--607
N. M. Temme A convolution integral equation solved
by Laplace transformations . . . . . . . 609--613
Walter Van Assche Some results on the asymptotic
distribution of the zeros of orthogonal
polynomials . . . . . . . . . . . . . . 615--623
Frederick P. Wheeler Aspects of the simulation of wave
propagation through a clear turbulent
medium . . . . . . . . . . . . . . . . . 625--633
Seiji Yamada and
Ichi-ann Ohsaki and
Masatoshi Ikeuchi and
Hiroshi Niki Non-adaptive and adaptive SAOR--CG
algorithms . . . . . . . . . . . . . . . 635--650
Zahari Zlatev Mathematical model for studying the
sulphur pollution over Europe . . . . . 651--666
Anonymous Author index to volumes 12 and 13 (1985) 667--668
Lloyd N. Trefethen Preface . . . . . . . . . . . . . . . . 1--6
Rudolf Wegmann An iterative method for conformal
mapping . . . . . . . . . . . . . . . . 7--18
O. Hübner The Newton method for solving the
Theodorsen integral equation . . . . . . 19--30
Martin H. Gutknecht Numerical conformal mapping methods
based on function conjugation . . . . . 31--77
Rudolf Wegmann An iterative method for the conformal
mapping of doubly connected regions . . 79--98
Jean-Paul Berrut A Fredholm integral equation of the
second kind for conformal mapping . . . 99--110
Norberto Kerzman and
Manfred R. Trummer Numerical conformal mapping via the
Szeg\Ho kernel . . . . . . . . . . . . . 111--123
Lothar Reichel A fast method for solving certain
integral equations of the first kind
with application to conformal mapping 125--142
Anita Mayo Rapid methods for the conformal mapping
of multiply connected regions . . . . . 143--153
Hans-Peter Hoidn A reparameterisation method to determine
conformal maps . . . . . . . . . . . . . 155--161
N. Papamichael and
M. K. Warby and
D. M. Hough The treatment of corner and pole-type
singularities in numerical conformal
mapping techniques . . . . . . . . . . . 163--191
M. Hartmann and
G. Opfer Uniform approximation as a numerical
tool for constructing conformal maps . . 193--206
Charles Zemach A conformal map formula for difficult
cases . . . . . . . . . . . . . . . . . 207--215
Roger W. Barnard and
Kent Pearce Rounding corners of gearlike domains and
the omitted area problem . . . . . . . . 217--226
Lloyd N. Trefethen and
Ruth J. Williams Conformal mapping solution of Laplace's
equation on a polygon with oblique
derivative boundary conditions . . . . . 227--249
Alan R. Elcrat and
Lloyd N. Trefethen Classical free-streamline flow over a
polygonal obstacle . . . . . . . . . . . 251--265
Anonymous Subject index . . . . . . . . . . . . . 267--269
Anonymous Editorial Board . . . . . . . . . . . . ifc--ifc
N. I. Ioakimidis A new interpretation of Cauchy type
singular integrals with an application
to singular integral equations . . . . . 271--278
D. M. Sloan Numerical solution of a free boundary
problem by continuation . . . . . . . . 279--288
A. Cuyt Singular rules for the calculation of
non-normal multivariate Padé approximants 289--301
Frank Natterer Efficient evaluation of oversampled
functions . . . . . . . . . . . . . . . 303--309
Amos E. Gera Singular integral equations with a
Cauchy kernel . . . . . . . . . . . . . 311--318
K. S. Kölbig On the integral $ \int^\infty_0 \chi^{v
- 1} (1 + \beta \chi)^{- \lambda } \ln^m
\chi \, d \chi $ . . . . . . . . . . . . 319--344
Nina Bogdanova Bogdanova Orthonormal polynomials in one and two
dimensions: application to calibration
problems in high energy physics . . . . 345--351
J. Garloff On power-boundedness of interval
matrices . . . . . . . . . . . . . . . . 353--360
S. Filippi and
J. Gräf New Runge--Kutta--Nyström formula-pairs
of order 8(7), 9(8), 10(9) and 11(10)
for differential equations of the form $
y'' = f(x, y) $ . . . . . . . . . . . . 361--370
Ravi P. Agarwal and
Riaz A. Usmani Iterative methods for solving right
focal point boundary value problems . . 371--390
Krzysztof C. Kiwiel An aggregate subgradient method for
nonsmooth and nonconvex minimization . . 391--400
A. Bultheel and
M. Van Barel Padé techniques for model reduction in
linear system theory: a survey . . . . . 401--438
Paul Levrie Pringsheim's theorem for generalized
continued fractions . . . . . . . . . . 439--445
Jon Rokne A simple method for computing the values
of the derivatives of a rational
function . . . . . . . . . . . . . . . . 447--449
M. M. Chawla and
S. McKee Convergence of linear multistep methods
with multiple roots . . . . . . . . . . 451--454
U. Ananthakrishnaiah A class of two-step $P$-stable methods
for the accurate integration of second
order periodic initial value problems 455--459
J. A. Belward An exponential version of Filon's rule 461--466
M. M. Chawla A new class of explicit two-step fourth
order methods for $ y'' = f(t, y) $ with
extended intervals of periodicity . . . 467--470
Anonymous Book Review: \booktitleDefect Correction
Methods. Theory and Applications: edited
by K. Böhmer and H. J. Stetter,
(Springer, Wien, 1984) 243 pages; price:
68.00 DM . . . . . . . . . . . . . . . . 471--471
Anonymous Book Review: \booktitleStability of
Runge--Kutta Methods for Stiff Nonlinear
Differential Equations: by K. Dekker and
J. G. Verwer (North-Holland, Amsterdam,
1984) 308 pages; price: 36.50 US\$} . . 471--471
Anonymous Book Review: \booktitleApproximation
Theory and Spline Functions: edited by
S. P. Singh, J. W. H. Burry and B.
Watson, (Reidel, Dordrecht, 1983) 485
pages; price: 69,50 US\$} . . . . . . . 471--472
Anonymous Author index to volume 14 (1986) . . . . 473--474
Anonymous Editorial board . . . . . . . . . . . . iv--iv
G. Avdelas and
A. Leontitsis A method for the improvement of the
convergence rates of stationary
iterative schemes for the solution of
complex linear systems . . . . . . . . . 1--11
M. S. Petkovi\'c and
L. V. Stefanovi\'c On some improvements of square root
iteration for polynomial complex zeros 13--25
G. W. Forbes Truncation and manipulation of
multivariate power series . . . . . . . 27--36
G. W. Forbes Automation of the manipulation of
multivariate power series . . . . . . . 37--58
L. Reichel and
P. Chapman Edge waves by boundary collocation . . . 59--73
Andrea Laforgia Inequalities for Bessel functions . . . 75--81
L. Wille and
P. Phariseau On the computation of a certain class of
Hill determinants . . . . . . . . . . . 83--91
Koichi Niijima An error analysis for a difference
scheme of exponential type applied to a
nonlinear singular perturbation problem
without turning points . . . . . . . . . 93--101
Donald Greenspan A mathematical curiosity in estimating
the radius of the first ring electrons
of an arbitrary atom . . . . . . . . . . 103--108
Tomaz Slivnik and
Gabrijel Tomsic A numerical method for the solution of
two-parameter eigenvalue problems . . . 109--115
D. Lee A note on bivariate box splines on a
$k$-direction mesh . . . . . . . . . . . 117--122
M. R. Crisci The tau method with perturbation term
depending on the differential operator 123--136
J. Natvig and
B. Nour-Omid and
B. N. Parlett Effect of the CYBER 205 on the choice of
method for solving the eigenvalue
problem $ (A - \lambda M) x = 0 $ . . . 137--159
P. Dierckx An algorithm for fitting data over a
circle using tensor product splines . . 161--173
S. T. S. Al-Hassani and
M. Can and
E. J. Watson A second order approximation to
nonlinear circuit equations as applied
to high energy electrical discharge
processes . . . . . . . . . . . . . . . 175--189
U. Langer and
W. Queck On the convergence factor of Uzawa's
algorithm . . . . . . . . . . . . . . . 191--202
J. R. Dormand and
P. J. Prince A reconsideration of some embedded
Runge--Kutta formulae . . . . . . . . . 203--211
M. M. Chawla and
Beny Neta Families of two-step fourth order
$P$-stable methods for second order
differential equations . . . . . . . . . 213--223
Lisa Jacobsen and
Haakon Waadeland Even and odd parts of limit periodic
continued fractions . . . . . . . . . . 225--233
F. Lambert and
M. Musette Solitons from a direct point of view:
padeons . . . . . . . . . . . . . . . . 235--249
M. M. Chawla and
P. N. Shivakumar A finite difference method for a class
of two-point boundary value problems
over a semi-infinite range . . . . . . . 251--256
Rolf Jeltsch A proof of the order barrier for upwind
schemes by Dahlquist's second barrier 257--259
E. H. Twizell Phase-lag analysis for a family of
two-step methods for second order
periodic initial value problems . . . . 261--263
Jürgen Garloff Continuation of two previous
bibliographies on interval mathematics 265--265
K. S. Kölbig On the integral $ \int_0^\infty \chi^{ v
- 1} (1 + \beta \chi)^{- \lambda } \ln^m
\chi \, d \chi $ . . . . . . . . . . . . 267--267
Avi Lin High-order three-point schemes for
boundary value problems. II: nonlinear
problems . . . . . . . . . . . . . . . . 269--282
Mohan K. Kadalbajoo and
K. Santhana Raman Cubic spline solutions of boundary value
problems over infinite intervals . . . . 283--291
Lawrence F. Shampine Solution of structured non-stiff ODEs 293--300
Hermann Brunner High-order methods for the numerical
solution of Volterra
integro-differential equations . . . . . 301--309
José Mário Martínez and
Raimundo J. B. De Sampaio Parallel and sequential Kaczmarz methods
for solving underdetermined nonlinear
equations . . . . . . . . . . . . . . . 311--321
N. I. Ioakimidis Determination of poles of sectionally
meromorphic functions . . . . . . . . . 323--327
M. M. Chawla and
P. S. Rao A Noumerov-type method with minimal
phase-lag for the integration of second
order periodic initial-value problems.
II: explicit method . . . . . . . . . . 329--337
G. J. Makinson and
A. A. Shah An iterative solution method for solving
sparse nonsymmetric linear systems . . . 339--352
Guanrong Chen and
Charles K. Chui Design of near-optimal linear digital
tracking filters with colored input . . 353--370
J. C. Eilbeck and
V. S. Manoranjan A comparison of basis functions for the
pseudo-spectral method for a model
reaction--diffusion problem . . . . . . 371--378
G. Adomian and
R. Rach The noisy convergence phenomena in
decomposition method solutions . . . . . 379--381
A. R. D. van Slijpe Random walks on the triangular prism and
other vertex-transitive graphs . . . . . 383--394
R. Caluwaerts A new direct method for the numerical
calculation of a swallowtail . . . . . . 395--396
Gerd Ronning On the curvature of the trigamma
function . . . . . . . . . . . . . . . . 397--399
Anonymous Author index to volume 15 (1986) . . . . 401--402
Anonymous Editorial Board . . . . . . . . . . . . vi--vi
William B. Gragg The $ Q R $ algorithm for unitary
Hessenberg matrices . . . . . . . . . . 1--8
John Carroll Exponentially fitted one-step methods
for the numerical solution of the scalar
Riccati equation . . . . . . . . . . . . 9--25
Jennifer A. Dixon Generalized reducible quadrature methods
for Volterra integral and
integro-differential equations . . . . . 27--42
Wayne R. Dyksen A tensor product generalized ADI method
for elliptic problems on cylindrical
domains with holes . . . . . . . . . . . 43--58
Newton R. Santos and
Odelar L. Linhares Convergence of Chebyshev semi-iterative
methods . . . . . . . . . . . . . . . . 59--68
P. Wilders The modified equation as a model of
local errors in convective schemes . . . 69--77
Reinhard Farwig Multivariate interpolation of
arbitrarily spaced data by moving least
squares methods . . . . . . . . . . . . 79--93
T. J. Ypma Relaxed Newton-like methods for stiff
differential systems . . . . . . . . . . 95--103
Y. Z. Boutros and
M. B. Abd-el-Malek and
S. Z. Masoud Linearized solution of a flow over a
nonuniform bottom . . . . . . . . . . . 105--116
Donald Greenspan An elementary algebraic method for
approximating average radii of first and
second ring electrons . . . . . . . . . 117--134
Young Jack Lee and
Edward J. Dudewicz On selecting the best contender . . . . 135--143
Wolfgang Dahmen Subdivision algorithms converge
quadratically . . . . . . . . . . . . . 145--158
H. Rasmussen and
S. D. Salhani Unsteady interface between two fluids in
a porous medium . . . . . . . . . . . . 159--167
JoséMário Martinez Solving systems of nonlinear equations
by means of an accelerated successive
orthogonal projections method . . . . . 169--179
Martin H. Gutknecht The evaluation of the conjugate function
of a periodic spline on a uniform mesh 181--201
P. J. van der Houwen and
B. P. Sommeijer Reduction of dispersion in hyperbolic
difference schemes by adapting the space
discretization . . . . . . . . . . . . . 203--214
Chung-Yuan Huang and
Stephen R. Kennon and
George S. Dulikravich Generalized nonlinear minimal residual
(GNLMR) method for iterative algorithms 215--232
M. M. Chawla and
P. S. Rao and
Beny Neta Two-step fourth-order $P$-stable methods
with phase-lag of order six for $ y'' =
f(t, y)$ . . . . . . . . . . . . . . . . 233--236
John Michael McNamee Comparison of spline and Lagrangian
interpolation . . . . . . . . . . . . . 237--240
John B. Kioustelidis Bounds for positive roots of polynomials 241--244
John Michael McNamee Some comments on a paper by Macleod on
Lagrangian interpolation . . . . . . . . 245--246
J. D. Day A minimum configuration fourth-order
nonautonomous explicit Rosenbrock method
for nonstiff differential equations . . 247--250
Martin H. Gutknecht and
Edward B. Saff A de Montessus-type theorem for CF
approximation . . . . . . . . . . . . . 251--254
Alan Genz and
David K. Kahaner The numerical evaluation of certain
multivariate normal integrals . . . . . 255--258
C. C. Grosjean The weight functions, generating
functions and miscellaneous properties
of the sequences of orthogonal
polynomials of the second kind
associated with the Jacobi and the
Gegenbauer polynomials . . . . . . . . . 259--307
Richard Thrasher and
Kamy Sepehrnoori On equidistributing principles in moving
finite element methods . . . . . . . . . 309--318
Fouad Khouzam Stiffly stable Adams-type methods . . . 319--331
Anthony W. Leung and
Diego A. Murio Accelerated monotone scheme for finite
difference equations concerning
steady-state prey-predator interactions 333--341
Nobuko Sagara and
Masao Fukushima A new predictor--corrector method for
solving unconstrained minimization
problems . . . . . . . . . . . . . . . . 343--354
A. Golbabai Finite amplitude axisymmetric convection
between rigid rotating planes . . . . . 355--369
S. Clement Cooper and
Arne Magnus and
J. H. McCabe On the non-normal two-point Padé table 371--380
O. Hübner On the fast solution of a linear system
arising in numerical conformal mapping 381--386
Muhammad Aslam Noor and
S. I. A. Tirmizi Numerical methods for unilateral
problems . . . . . . . . . . . . . . . . 387--395
Anonymous Author index to volume 16 (1986) . . . . 397--398
Anonymous Newsletter on computational and applied
mathematics: Vol. 2, nr. 3, November
1986 applied mathematics . . . . . . . . P1, 1--14
Anonymous Editorial board . . . . . . . . . . . . ii--ii
Masatake Mori and
Robert Piessens Preface . . . . . . . . . . . . . . . . 1--1
Masao Iri and
Sigeiti Moriguti and
Yoshimitsu Takasawa On a certain quadrature formula . . . . 3--20
Takemitsu Hasegawa and
Tatsuo Torii Indefinite integration of oscillatory
functions by the Chebyshev series
expansion . . . . . . . . . . . . . . . 21--29
Philip Rabinowitz Numerical integration in the presence of
an interior singularity . . . . . . . . 31--41
Philip Rabinowitz On the convergence of closed
interpolatory integration rules based on
the zeros of Gegenbauer polynomials . . 43--46
Masaaki Sugihara Methods of numerical integration of
oscillatory functions by the DE-formula
with the Richardson extrapolation . . . 47--68
Hermann Engels and
Bernd Anton Merschen Some properties of dual quadrature
formulae . . . . . . . . . . . . . . . . 69--77
Arnold Knopfmacher and
D. S. Lubinsky Mean convergence of Lagrange
interpolation for Freud's weights with
application to product integration rules 79--103
Avram Sidi Extrapolation methods for divergent
oscillatory infinite integrals that are
defined in the sense of summability . . 105--114
F. G. Lether Quadrature rules for approximating
semi-integrals and semiderivatives . . . 115--129
J. N. Lyness and
Elise De Doncker-Kapenga On quadrature error expansions. Part I 131--149
Patrick Keast Cubature formulas for the surface of the
sphere . . . . . . . . . . . . . . . . . 151--172
Ronald Cools and
Ann Haegemans Construction of fully symmetric cubature
formulae of degree $ 4 k - 3 $ for fully
symmetric planar regions . . . . . . . . 173--180
I. H. Sloan and
T. R. Osborn Multiple integration over bounded and
unbounded regions . . . . . . . . . . . 181--196
Masaaki Sugihara Method of good matrices for
multi-dimensional numerical integrations
--- an extension of the method of good
lattice points . . . . . . . . . . . . . 197--213
David K. Kahaner and
Ottis W. Rechard TWODQD an adaptive routine for
two-dimensional integration . . . . . . 215--234
Anonymous Subject index . . . . . . . . . . . . . 235--236
Ayse Alaylio\uglu and
D. S. Lubinsky A product quadrature algorithm by
Hermite interpolation . . . . . . . . . 237--269
Ravi P. Agarwal Existence-uniqueness and iterative
methods for third-order boundary value
problems . . . . . . . . . . . . . . . . 271--289
M. O. Rodrigues Cadete A note on piecewise blending function
interpolation applied to networks of
curves in $ R^3 $ . . . . . . . . . . . 291--298
E. H. Twizell and
S. I. A. Tirmizi Multiderivative methods for non-linear
second-order boundary value problems . . 299--307
Jon Rokne Rational circular complex centered forms 309--327
G. Mühlbach and
L. Reimers Linear extrapolation by rational
functions, exponentials and logarithmic
functions . . . . . . . . . . . . . . . 329--344
I. M. Snyman A variational method applied to a linear
hyperbolic initial boundary value
problem . . . . . . . . . . . . . . . . 345--354
E. K. Ifantis and
P. D. Siafarikas and
C. B. Kouris Upper bounds for the first zeros of
Bessel functions . . . . . . . . . . . . 355--358
M. M. Chawla A fourth-order finite difference method
based on uniform mesh for singular
two-point boundary-value problems . . . 359--364
M. M. Chawla and
P. S. Rao An explicit sixth-order method with
phase-lag of order eight for $ y'' =
f(t, y) $ . . . . . . . . . . . . . . . 365--368
A. Cuyt The Euler--Minding series for branched
continued fractions . . . . . . . . . . 369--373
M. Meneguette A note on bordered isoclinal matrices 375--377
Anonymous Author index to volume 17 (1987) . . . . 379--379
Anonymous Newsletter on computational and applied
mathematics . . . . . . . . . . . . . . N1
Anonymous Institutional reports and doctoral
theses . . . . . . . . . . . . . . . . . N2--N4
Anonymous Announcements of conferences . . . . . . N4--N16
Anonymous Editorial Board . . . . . . . . . . . . viii--viii
D. P. Laurie Preface . . . . . . . . . . . . . . . . 1--1
L. F. Shampine Control of step size and order in
extrapolation codes . . . . . . . . . . 3--16
T. J. Ypma Efficient estimation of sparse Jacobian
matrices by differences . . . . . . . . 17--28
George A. Baker, Jr. and
D. S. Lubinsky Convergence theorems for rows of
differential and algebraic Hermite--Padé
approximations . . . . . . . . . . . . . 29--52
Barbara Kok and
Tunc Geveci Galerkin methods for the time dependent
incompressible elasticity equations . . 53--69
A. J. Maeder and
S. A. Wynton Some parallel methods for polynomial
root-finding . . . . . . . . . . . . . . 71--81
Daniel M. Murray The relationship between terminal state
constraints and penalties for the
discrete-time LQP problem associated
with the adjustment of accelerometer
data . . . . . . . . . . . . . . . . . . 83--91
C. H. Rohwer Fast one-sided approximation with spline
functions . . . . . . . . . . . . . . . 93--105
J. M. De Villiers and
C. H. Rohwer Optimal local spline interpolants . . . 107--119
M. L. Baart and
R. J. Y. McLeod Rational curves and isoparametric
transformations . . . . . . . . . . . . 121--128
V. I. Fabrikant Electrostatic problem of several
arbitrarily charged unequal coaxial
disks . . . . . . . . . . . . . . . . . 129--147
Timothy N. Phillips Relaxation schemes for spectral
multigrid methods . . . . . . . . . . . 149--162
Eugene O'Riordan and
Martin Stynes A uniform finite element method for a
conservative singularly perturbed
problem . . . . . . . . . . . . . . . . 163--174
I. Gladwell and
L. F. Shampine and
R. W. Brankin Automatic selection of the initial step
size for an ODE solver . . . . . . . . . 175--192
John P. Coleman Polynomial approximations in the complex
plane . . . . . . . . . . . . . . . . . 193--211
J. Steinberg Computation of expansion coefficients in
a singular harmonic problem . . . . . . 213--220
M. Krízek and
P. Neittaanmäki On a global superconvergence of the
gradient of linear triangular elements 221--233
L. Pretorius and
D. Eyre Spline-Gauss rules and the Nyström method
for solving integral equations in
quantum scattering . . . . . . . . . . . 235--247
H. A. van der Vorst An iterative solution method for solving
$ f(A) x = b $, using Krylov subspace
information obtained for the symmetric
positive definite matrix $A$ . . . . . . 249--263
M. Piñar and
V. Ramírez Matrix interpretation of formal
orthogonal polynomials for non-definite
functionals . . . . . . . . . . . . . . 265--277
Stephen F. Chang and
William J. Kennedy Error-free computer solution of certain
systems of linear equations . . . . . . 279--287
Jennifer A. Dixon A nonlinear weakly singular Volterra
integro-differential equation arising
from a reaction--diffusion study in a
small cell . . . . . . . . . . . . . . . 289--305
Lucio Tunes Dos Santos A parallel subgradient projections
method for the convex feasibility
problem . . . . . . . . . . . . . . . . 307--320
Jochen W. Schmidt and
Walter Hess Quadratic and related exponential
splines in shape preserving
interpolation . . . . . . . . . . . . . 321--329
C. Phillips and
J. L. Mohamed and
L. M. Delves Evaluation of the residual vector in
global element calculations . . . . . . 331--346
Gerd H. Klein Fitting simple non-tensor-product
splines to scattered noisy data on
Euclidean $d$-space . . . . . . . . . . 347--352
W. Hoffmann Solving linear systems on a vector
computer . . . . . . . . . . . . . . . . 353--367
K. S. Kölbig On the integral $ \int^1_0 x^{\nu - 1}
(1 - x)^{- \lambda } \ln^m x \, d x $ 369--394
R. B. Saxena and
H. C. Tripathi (0, 2, 3) and (0, 1, 3) interpolation by
six degree splines . . . . . . . . . . . 395--401
Anonymous Author index to volume 18 (1987) . . . . 403--404
Anonymous Editorial Board . . . . . . . . . . . . ii--ii
C. Brezinski Preface . . . . . . . . . . . . . . . . 1--1
Annie Cuyt A bibliography of the works of Prof. Dr.
H. Werner . . . . . . . . . . . . . . . 3--8
André Draux The epsilon algorithm in a
non-commutative algebra . . . . . . . . 9--21
Alphonse P. Magnus Toeplitz matrix techniques and
convergence of complex weight Padé
approximants . . . . . . . . . . . . . . 23--38
A. Iserles and
S. P. Nòrsett Bi-orthogonality and zeros of
transformed polynomials . . . . . . . . 39--45
A. Iserles and
E. B. Saff Bi-orthogonality in rational
approximation . . . . . . . . . . . . . 47--54
Paul Sablonniere Convergence acceleration of logarithmic
fixed point sequences . . . . . . . . . 55--60
Hans Wallin The divergence problem for multipoint
Padé approximants of meromorphic
functions . . . . . . . . . . . . . . . 61--65
C. Brezinski Successive modifications of limit
periodic continued fractions . . . . . . 67--74
C. Brezinski and
A. Lembarki The linear convergence of limit periodic
continued fractions . . . . . . . . . . 75--77
E. Hendriksen The strong Hamburger moment problem and
self-adjoint operators in Hilbert space 79--88
Marc Prevost Calculation of poles of meromorphic
functions with $q$-$d$, $r$-$s$ and $
\epsilon $-algorithms. Acceleration of
these processes . . . . . . . . . . . . 89--98
Stefan Paszkowski Recurrence relations in Padé--Hermite
approximation . . . . . . . . . . . . . 99--107
A. Lembarki Acceleration of limit periodic continued
fractions by the $ T_{+ M} $
transformation . . . . . . . . . . . . . 109--116
Jet Wimp and
Bob Kline and
Andrew Galardi and
David Colton Some preliminary observations on an
algorithm for the computation of moment
integrals . . . . . . . . . . . . . . . 117--124
M. Gasca and
E. Lebrón Elimination techniques and interpolation 125--132
Concepción González Concepción On the $A$-acceptability of Padé-type
approximants to the exponential with a
single pole . . . . . . . . . . . . . . 133--140
J. Van Iseghem Vector orthogonal relations. Vector $ Q
D $-algorithm . . . . . . . . . . . . . 141--150
Pablo González-Vera On certain applications of two-point Padé
type approximants with a single pole . . 151--160
Haakon Waadeland Derivatives of continued fractions with
applications to hypergeometric functions 161--169
Lisa Jacobsen General correspondence for continued
fractions . . . . . . . . . . . . . . . 171--177
Anonymous Newsletter on computational and applied
mathematics . . . . . . . . . . . . . . N1--N9
M. W. Smiley A numerical study of spontaneous
bifurcation . . . . . . . . . . . . . . 179--188
Bruno Gabutti and
Paolo Lepora A novel approach for the determination
of asymptotic expansions of certain
oscillatory integrals . . . . . . . . . 189--206
Donald Greenspan Analytical and numerical studies in
deterministic modeling of the states of
ions and atoms . . . . . . . . . . . . . 207--222
J. Soler On cubature with a minimal number of
lines . . . . . . . . . . . . . . . . . 223--230
Balder Von Hohenbalken and
Bruce L. Clarke and
James E. Lewis Least distance methods for the frame of
homogeneous equation systems . . . . . . 231--241
Dorothea A. Klip Completeness of zero curve tracing for
analytic functions . . . . . . . . . . . 243--259
Fernanda Patrício and
Paula Oliveira Multiderivative variable stepsize
variable formula methods . . . . . . . . 261--267
G. R. Dargahi-Noubary Classification of Gaussian random
processes using a simple linear
discriminant and its application to
seismic differentiation . . . . . . . . 269--277
Patrick Bonckaert On the size of the domain of
linearization in Hartman's theorem . . . 279--282
C. Dew. Van Siclen Estimating atomic 1s orbital radii . . . 283--286
L. L. Campbell Asymptotic value of a multidimensional
normal probability integral . . . . . . 287--292
Per Christian Hansen Detection of near-singularity in
Cholesky and $ L D L^T $ factorizations 293--299
M. W. Smiley Low-dimensional qualitative and
numerical approximation of bifurcation
in a semilinear elliptic problem . . . . 301--312
Sabine Van Huffel and
Joos Vandewalle and
Ann Haegemans An efficient and reliable algorithm for
computing the singular subspace of a
matrix, associated with its smallest
singular values . . . . . . . . . . . . 313--330
A. Sri Ranga Convergence properties of a class of $
\hat {J} $-fractions . . . . . . . . . . 331--342
Nobuko Sagara and
Masao Fukushima An efficient predictor--corrector method
for solving nonlinear equations . . . . 343--349
A. S. Deakin and
H. Rasmussen A generalized moment representation of
two free boundary problems . . . . . . . 351--361
Thomas K. Delillo On some relations among numerical
conformal mapping methods . . . . . . . 363--377
M. M. Chawla and
P. N. Shivakumar On the existence of solutions of a class
of singular nonlinear two-point boundary
value problems . . . . . . . . . . . . . 379--388
Thomas E. Price, Jr. Pointwise error estimates for
interpolation . . . . . . . . . . . . . 389--393
B. P. Sommeijer A note on a diagonally implicit
Runge--Kutta--Nyström method . . . . . . 395--399
Anonymous Author index to volume 19 (1987) . . . . 401--402
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
M. Goovaerts and
L. Wuytack Preface . . . . . . . . . . . . . . . . 1--1
C. T. H. Baker and
M. S. Derakhshan FFT techniques in the numerical solution
of convolution equations . . . . . . . . 5--24
Michel Crouzeix On multistep approximation of semigroups
in Banach spaces . . . . . . . . . . . . 25--35
A. Hadjidimos A survey of the iterative methods for
the solution of linear systems by
extrapolation, relaxation and other
techniques . . . . . . . . . . . . . . . 37--51
Peter J. Rousseeuw Silhouettes: a graphical aid to the
interpretation and validation of cluster
analysis . . . . . . . . . . . . . . . . 53--65
J. F. B. M. Kraaijevanger and
H. W. J. Lenferink and
M. N. Spijker Stepsize restrictions for stability in
the numerical solution of ordinary and
partial differential equations . . . . . 67--81
Zahari Zlatev A survey of the advances in the
exploitation of the sparsity in the
solution of large problems . . . . . . . 83--105
S. Amini An iterative method for the boundary
element solution of the exterior
acoustic problem . . . . . . . . . . . . 109--117
J. P. C. Blanc On a numerical method for calculating
state probabilities for queueing systems
with more than one waiting line . . . . 119--125
JoséE. Castillo and
Stanly Steinberg and
Patrick J. Roache Mathematical aspects of variational grid
generation II . . . . . . . . . . . . . 127--135
John P. Coleman Complex polynomial approximation by the
Lanczos $ \tau $-method: Dawson's
integral . . . . . . . . . . . . . . . . 137--151
Ronald Cools and
Ann Haegemans Automatic computation of knots and
weights of cubature formulae for
circular symmetric planar regions . . . 153--158
Filomena Dias D'Almeida and
Maria João Rodrigues Is the iterative refinement of
eigenelements an expensive technique? 159--166
M. R. Da Silva Numerical treatment of differential
equations with the $ \tau $-method . . . 167--173
P. De Groen and
B. De Moor The fit of a sum of exponentials to
noisy data . . . . . . . . . . . . . . . 175--187
M. O. Deville and
E. H. Mund and
A. T. Patera Iterative solution of isoparametric
spectral element equations by low-order
finite element preconditioning . . . . . 189--197
E. Dick Elliptic solution techniques for Euler
and Navier--Stokes equations in steady
flow . . . . . . . . . . . . . . . . . . 199--209
V. Fack and
G. Vanden Berghe and
H. E. De Meyer Some finite difference methods for
computing eigenvalues and eigenvectors
of special two-point boundary value
problems . . . . . . . . . . . . . . . . 211--217
Louis Fishman and
Stephen C. Wales Phase space methods and path
integration: the analysis and
computation of scalar wave equations . . 219--238
John A. Ford and
Adel F. Saadallah On the construction of minimisation
methods of quasi-Newton type . . . . . . 239--246
M. Gregus, Jr. and
Yu. Yu. Lobanov and
O. V. Sidorova and
E. P. Zhidkov On the deterministic computation of
functional integrals in application to
quantum mechanical problems . . . . . . 247--256
J.-Fr. Hake The numerical solution of PDE problems
with standard software packages . . . . 257--265
W. H. Hundsdorfer A note on monotonicity of a Rosenbrock
method . . . . . . . . . . . . . . . . . 267--273
H. L. Janssen Recursive construction of a sequence of
solutions to homogeneous linear partial
differential equations with constant
coefficients . . . . . . . . . . . . . . 275--287
R. Kaas and
M. J. Goovaerts A new method for deriving bounds for
integrals with respect to measures
allowed to vary under conical and
integral constraints . . . . . . . . . . 289--297
Dorothea A. Klip An analytic approach to the solution of
non-linear equations . . . . . . . . . . 299--306
M. Z. Liu and
K. Dekker and
M. N. Spijker Suitability of Runge--Kutta methods . . 307--315
C. Wayne Mastin Implicit finite difference methods on
composite grids . . . . . . . . . . . . 317--323
Takemoto Mitsui A modified version of Urabe's implicit
single-step method . . . . . . . . . . . 325--332
Igor Moret and
Pierpaolo Omari Iterative solution of integral equations
by a quasi-Newton method . . . . . . . . 333--340
Mitsuhiro T. Nakao Superconvergence of the gradient of
Galerkin approximations for elliptic
problems . . . . . . . . . . . . . . . . 341--348
N. Papamichael and
C. A. Kokkinos and
M. K. Warby Numerical techniques for conformal
mapping onto a rectangle . . . . . . . . 349--358
N. Papamichael and
M. J. Soares Cubic and quintic spline-on-spline
interpolation . . . . . . . . . . . . . 359--366
L. Rottiers and
G. De Mey Eigenfunction expansion versus the
boundary element method for thermal
problems in microelectronics . . . . . . 367--372
K. Ruotsalainen On the boundary element method with mesh
refinement on curves with corners . . . 373--378
J. Spoelstra and
D. J. Van Wyk A method of solution for a non-linear
diffusion model and for computing the
parameters in the model . . . . . . . . 379--385
Masaaki Sugihara A class of functions for which the
trapezoidal rule gives the exact value
of integral over the infinite interval 387--392
J. H. M. Ten Thije Boonkkamp The odd-even hopscotch pressure
correction scheme for the incompressible
Navier--Stokes equations . . . . . . . . 393--402
Haakon Waadeland Linear approximations to continued
fractions $ K(z_n / 1) $ . . . . . . . . 403--415
Anonymous List of invited talks . . . . . . . . . 417--417
Anonymous List of talks . . . . . . . . . . . . . 418--421
Anonymous Author index to volume 20 (1987) . . . . 423--424
Anonymous Institutional reports and doctoral
theses . . . . . . . . . . . . . . . . . n1--n11
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Jiang Song A finite element method for equations of
one-dimensional nonlinear
thermoelasticity . . . . . . . . . . . . 1--16
A. H. J. Cloot and
B. M. Herbst Analytical instability of the
Klein--Gordon equation . . . . . . . . . 17--26
V. Ch Venkaiah and
S. K. Sen Computing a matrix symmetrizer exactly
using modified multiple modulus residue
arithmetic . . . . . . . . . . . . . . . 27--40
Angelika Bunse-Gerstner and
William B. Gragg Singular value decompositions of complex
symmetric matrices . . . . . . . . . . . 41--54
Uwe Tempelmeier A new proof of the cross-rule for the $
\epsilon $-algorithm based on
Schur-complements . . . . . . . . . . . 55--61
Wolfgang Volk The iterated Galerkin method for linear
integro-differential equations . . . . . 63--74
Tetsuro Yamamoto On the method of tangent hyperbolas in
Banach spaces . . . . . . . . . . . . . 75--86
Ulf Torsten Ehrenmark A three-point formula for numerical
quadrature of oscillatory integrals with
variable frequency . . . . . . . . . . . 87--99
Lisa Jacobsen Remarks to a definition of convergence
acceleration illustrated by means of
continued fractions $ K(a_n 1) $ where $
a_n \to 0 $ . . . . . . . . . . . . . . 101--110
Lin Chao Lu and
Yan Wang A variable transformation method for
solving linear absolute-value
objective-function problems with linear
constraints . . . . . . . . . . . . . . 111--113
Charles B. Dunham Approximation with one (or few)
parameters nonlinear . . . . . . . . . . 115--118
Guido Walz Computing the matrix exponential and
other matrix functions . . . . . . . . . 119--123
B. C. Soh Fourier series of B-splines . . . . . . 125--127
Andreas Karageorghis A note on the Chebyshev coefficients of
the general order derivative of an
infinitely differentiable function . . . 129--132
Marc Prevost Stieltjes- and Geronimus-type
polynomials . . . . . . . . . . . . . . 133--144
Annie Cuyt and
Brigitte Verdonk Multivariate reciprocal differences for
branched Thiele continued fraction
expansions . . . . . . . . . . . . . . . 145--160
Xiang Xinmin Spectral method for solving the system
of equations of
Schrödinger--Klein--Gordon field . . . . 161--171
T. N. Phillips and
A. R. Davies On semi-infinite spectral elements for
Poisson problems with re-entrant
boundary singularities . . . . . . . . . 173--188
M. M. Chawla and
R. Subramanian and
H. L. Sathi A fourth-order spline method for
singular two-point boundary-value
problems . . . . . . . . . . . . . . . . 189--202
M. Van Veldhuizen On the numerical approximation of the
rotation number . . . . . . . . . . . . 203--212
Robert L. Sternberg and
Robert B. Grafton On a numerical minimization problem for
a new class of nonlinear partial
differential equations arising in
nonspherical geometrical optics and
beamforming lenticular antennas II . . . 213--222
Ravi P. Agarwal Monotone convergence of iterative
methods for $ (n, p) $ and $ (p, n) $
boundary value problems . . . . . . . . 223--230
N. I. Ioakimidis The successive approximations method for
the airfoil equation . . . . . . . . . . 231--238
J. M. McNamee A comparison of methods for terminating
polynomial iterations . . . . . . . . . 239--244
E. K. Ifantis and
P. D. Siafarikas Bounds for the first positive zero of a
mixed Bessel function . . . . . . . . . 245--249
Iickho Song A recursive formula for even order
harmonic series . . . . . . . . . . . . 251--256
Ryszard Klempous and
Jerzy Kotowski and
Jan Nikodem and
Marek Olesiak and
Jedrzej Ulasiewicz Some models for water distribution
systems . . . . . . . . . . . . . . . . 257--269
André Draux On the non-normal Padé table in a
non-commutative algebra . . . . . . . . 271--288
Mary Jeanne Ng-Stynes and
Eugene O'Riordan and
Martin Stynes Numerical methods for time-dependent
convection--diffusion equations . . . . 289--310
C. C. Grosjean and
M. J. Goovaerts The analytical evaluation of
one-dimensional Gaussian path-integrals 311--331
Sabine Van Huffel and
Joos Vandewalle The partial total least squares
algorithm . . . . . . . . . . . . . . . 333--341
Marcel G. De Bruin Simultaneous partial Padé approximants 343--355
R. W. Brankin and
I. Gladwell and
L. F. Shampine Starting BDF and Adams codes at optimal
order . . . . . . . . . . . . . . . . . 357--368
Peter J. M. van Laarhoven and
Ton A. C. M. Kalker On the computation of Lauricella
functions of the fourth kind . . . . . . 369--375
Rakesh K. Sharma Numerical solutions to radial form of
transistor equations . . . . . . . . . . 377--381
Andreas Karageorghis A note on the Chebyshev coefficients of
the moments of the general order
derivative of an infinitely
differentiable function . . . . . . . . 383--386
Anonymous Author index to volume 21 (1988) . . . . 387--388
Anonymous Newsletter on Computational and Applied
Mathematics . . . . . . . . . . . . . . N1--N11
Anonymous Editorial board . . . . . . . . . . . . iv--v
S. Balasundaram and
P. K. Bhattacharyya A mixed finite-element method for
fourth-order elliptic problems with
variable coefficients . . . . . . . . . 1--24
Diego A. Murio Parameter selection by discrete
mollification and the numerical solution
of the inverse heat conduction problem 25--34
Avram Sidi and
Jacob Bridger Convergence and stability analyses for
some vector extrapolation methods in the
presence of defective iteration matrices 35--61
Gary K. Rockswold Implementation of $ \alpha $-type
multistep methods for stiff differential
equations . . . . . . . . . . . . . . . 63--69
Avram Sidi Extrapolation vs. projection methods for
linear systems of equations . . . . . . 71--88
Paolo Costantini An algorithm for computing
shape-preserving interpolating splines
of arbitrary degree . . . . . . . . . . 89--136
John P. Coleman Characterisation of a class of
$P$-stable methods for differential
equations of second order . . . . . . . 137--141
Åke E. Andersson and
J. Casti and
Peter Leth Christiansen and
Anders Karlqvist Emerging paradigms in applied
mathematical modelling --- an
introduction . . . . . . . . . . . . . . 143--181
George J. Klir The future of information, computer, and
systems sciences . . . . . . . . . . . . 183--195
H. Haken Synergetics and computers . . . . . . . 197--202
Jean-Pierre Aubin and
Karl Sigmund Permanence and viability . . . . . . . . 203--209
Robert Rosen Complexity and information . . . . . . . 211--218
Eric Kostlan Complexity theory of numerical linear
algebra . . . . . . . . . . . . . . . . 219--230
Donald G. Saari On the types of information and
mechanism design . . . . . . . . . . . . 231--242
R. T. Rockafellar Optimization: a case for the development
of new mathematical concepts . . . . . . 243--255
Philip E. Gill and
Walter Murray and
Michael A. Saunders and
Margaret H. Wright Recent developments in constrained
optimization . . . . . . . . . . . . . . 257--270
Jan R. Eriksson The simultaneous two-step entropy model 271--283
Norman J. Zabusky Computational synergetics: visualization
and vortex dynamics . . . . . . . . . . 285--295
J. C. Eilbeck and
P. S. Lomdahl and
A. C. Scott Biomolecular dynamics by computer
analysis . . . . . . . . . . . . . . . . 297--299
J. Casti Engineering control systems and
computing in the 90s . . . . . . . . . . 301--314
Tönu Puu Catastrophe theory applied to the
refraction of traffic . . . . . . . . . 315--318
Åke E. Andersson and
Wei-Bin Zhang Decision centralization and
decentralization in a dynamic economic
system . . . . . . . . . . . . . . . . . 319--337
Anna Nagurney and
Jay Aronson A general dynamic spatial price
equilibrium model: formulation,
solution, and computational results . . 339--357
Wolfgang Weidlich Stochastic migration theory and
migratory phase transitions . . . . . . 359--368
Tönu Puu Structural stability as a modeling
instrument in spatial economics . . . . 369--379
Anonymous Author index to volume 22 (1988) . . . . 381--381
Anonymous Newsletter on computational and applied
mathematics . . . . . . . . . . . . . . N1
Anonymous Institutional reports and doctoral
theses . . . . . . . . . . . . . . . . . N2--N4
Anonymous Announcements of conferences . . . . . . N5--N8
Anonymous Editorial board . . . . . . . . . . . . ii--iii
M. M. Chawla and
R. Subramanian A new fourth-order cubic spline method
for second-order nonlinear two-point
boundary-value problems . . . . . . . . 1--10
Balder Von Hohenbalken An algorithm for set operations on
nonconvex polygons (with an application
to census tracts) . . . . . . . . . . . 11--24
Andrea Laforgia and
Silvana Sismondi Monotonicity results and inequalities
for the gamma and error functions . . . 25--33
J. Panovsky and
D. L. Richardson A family of implicit Chebyshev methods
for the numerical integration of
second-order differential equations . . 35--51
B. S. Dobronec Two-sided solution of ODEs via a
posteriori error estimates . . . . . . . 53--61
P. R. Graves-Morris and
E. B. Saff Row convergence theorems for generalised
inverse vector-valued Padé approximants 63--85
E. Hairer and
Ch. Lubich and
M. Schlichte Fast numerical solution of weakly
singular Volterra integral equations . . 87--98
G. Adomian and
R. Rach Evaluation of integrals by decomposition 99--101
E. Thandapani and
K. Balachandran and
G. Balasubramanian Series solutions of some nonlinear
differential equations . . . . . . . . . 103--107
Andrzej S. Kozek and
Anna Trzmielak-Stanislawska On dependence of MR- and MM-algorithms
upon the value of switching control
variable CTR . . . . . . . . . . . . . . 109--115
Per Christian Hansen The $2$-norm of random matrices . . . . 117--120
R. K. Jain and
Rakesh Goel Superstable single-step methods for
second-order initial-value problems . . 121--125
Lothar Afflerbach and
Holger Grothe The lattice structure of pseudo-random
vectors generated by matrix generators 127--131
Roland Hunt Single-level multigrid . . . . . . . . . 133--139
Yoshihiro Tanaka and
Masao Fukushima and
Toshihide Ibaraki A globally convergent SQP method for
semi-infinite nonlinear optimization . . 141--153
J. A. Snyman A parameter-free multiplier method for
constrained minimization problems . . . 155--168
Yu Yu Feng and
Jernej Kozak An approach to the interpolation of
nonuniformly spaced data . . . . . . . . 169--178
John Gill Compositions of analytic functions of
the form $ F_n(z) = F_{n - 1}(f_n(z)) $,
$ f_n(z) \to f(z) $ . . . . . . . . . . 179--184
G. R. Dargahi-Noubary A parametric solution for simple
stress-strength model of failure with an
application . . . . . . . . . . . . . . 185--197
C. C. Grosjean A general formula for the calculation of
Gaussian path-integrals in two and three
Euclidean dimensions . . . . . . . . . . 199--234
Diego A. Murio and
Jorge R. Paloschi Combined mollification-future
temperatures procedure for solution of
inverse heat conduction problem . . . . 235--244
\Dbar\hckudotang \Dbariñh Áng and
Fritz Keinert and
Frank Stenger A nonlinear two-phase Stefan problem
with melting point gradient: a
constructive approach . . . . . . . . . 245--255
Franz Rendl On the Euclidean assignment problem . . 257--265
D. J. Evans and
C. Li On the convergence of the SAOR method
and the error bounds for its
acceleration . . . . . . . . . . . . . . 267--279
Maria Rosaria Capobianco A method for the numerical resolution of
Abel-type integral equations of the
first kind . . . . . . . . . . . . . . . 281--304
G. K. Kulev and
D. D. Bainov Second method of Lyapunov and comparison
principle for systems with impulse
effect . . . . . . . . . . . . . . . . . 305--321
Rudolf Wegmann Discrete Riemann--Hilbert problems,
interpolation of simply closed curves,
and numerical conformal mapping . . . . 323--352
P. S. Simeonov and
D. D. Bainov Exponential stability of the solutions
of the initial-value problem for systems
with impulse effect . . . . . . . . . . 353--365
Paul Dierckx and
Paul Suetens and
Dirk Vandermeulen An algorithm for surface reconstruction
from planar contours using smoothing
splines . . . . . . . . . . . . . . . . 367--388
Paul Nelson Adomian's method of decomposition:
critical review and examples of failure 389--393
G. Adomian Propagation in dissipative or dispersive
media . . . . . . . . . . . . . . . . . 395--396
Anonymous Author index . . . . . . . . . . . . . . 397--398
Apostolos Hadjidimos Preface . . . . . . . . . . . . . . . . 1--2
Jiaoxun Kuang and
Jun Ji A survey of AOR and TOR methods . . . . 3--12
Ulrike Meier and
Ahmed Sameh The behavior of conjugate gradient
algorithms on a multivector processor
with a hierarchical memory . . . . . . . 13--32
Kang C. Jea and
David M. Young On the effectiveness of adaptive
Chebyshev acceleration for solving
systems of linear equations . . . . . . 33--54
O. Axelsson and
B. Polman Block preconditioning and domain
decomposition methods. II . . . . . . . 55--72
Henk A. van der Vorst and
Kees Dekker Conjugate gradient type methods and
preconditioning . . . . . . . . . . . . 73--87
Youcef Saad Preconditioning techniques for
nonsymmetric and indefinite linear
systems . . . . . . . . . . . . . . . . 89--105
Gerhard Maess Projection methods solving rectangular
systems of linear equations . . . . . . 107--119
David R. Kincaid and
David M. Young A brief review of the ITPACK project . . 121--127
Garry Rodrigue and
Richard Varga Convergence rate estimates for iterative
solutions of the biharmonic equation . . 129--146
A. K. Yeyios An extension of the accelerated
overrelaxation (AOR) theory for linear
systems with Hermitian matrix . . . . . 147--151
Yvan Notay Polynomial acceleration of iterative
schemes associated with subproper
splittings . . . . . . . . . . . . . . . 153--167
Paul E. Saylor Leapfrog variants of iterative methods
for linear algebraic equations . . . . . 169--193
D. L. Harrar II and
J. M. Ortega Optimum $m$-step SSOR preconditioning 195--198
P. N. Shivakumar and
J. J. Williams An iterative method with truncation for
infinite linear systems . . . . . . . . 199--207
Yiannis G. Saridakis An algorithmic approach for the analysis
of extrapolated iterative schemes
applied to least-squares problems . . . 209--225
Radim Blaheta A multilevel method with overcorrection
by aggregation for solving discrete
elliptic problems . . . . . . . . . . . 227--239
P. G. Fisher and
A. J. Hughes Hallett Iterative techniques for solving
simultaneous equation systems: a view
from the economics literature . . . . . 241--255
Lothar Berg Iterative solution of simultaneous
equations . . . . . . . . . . . . . . . 257--264
E. F. Kaasschieter Preconditioned conjugate gradients for
solving singular systems . . . . . . . . 265--275
Ichi-ann Ohsaki and
Hiroshi Niki The accelerated SAOR method for large
linear systems . . . . . . . . . . . . . 277--291
P. L. Schuck and
H. Rasmussen Numerical solution of a heated
subsidence mound problem in a porous
medium . . . . . . . . . . . . . . . . . 293--318
Rakesh K. Sharma Iterative solutions to boundary-value
differential equations involving
reflection of the argument . . . . . . . 319--326
M. Madalena Martins Extended convergence regions for the AOR
method . . . . . . . . . . . . . . . . . 327--336
G. Behforooz and
N. Papamichael Overconvergence properties of quintic
interpolatory splines . . . . . . . . . 337--347
V. U. Aihie and
G. A. Evans The tanh transformation for double
integrals with singularities --- a
progressive rule . . . . . . . . . . . . 349--354
K. Surla and
M. Stojanovi\'c Solving singularly perturbed
boundary-value problems by spline in
tension . . . . . . . . . . . . . . . . 355--363
Masao Iri and
Takashi Tsuchiya and
Mamoru Hoshi Automatic computation of partial
derivatives and rounding error estimates
with applications to large-scale systems
of nonlinear equations . . . . . . . . . 365--392
R. K. Jain Sixth-order superstable two-step methods
for second-order initial-value problems 393--397
K. Balachandran and
E. Thandapani and
G. Balasubramanian Approximate solutions of a nonlinear
differential equation . . . . . . . . . 399--402
Paul Levrie and
Adhemar Bultheel A note on two convergence acceleration
methods for ordinary continued fractions 403--409
Anonymous Author index . . . . . . . . . . . . . . 411--412
P. Dierckx and
R. Piessens Vol. 4, nr. 3, November 1988 . . . . . . N1
Adhemar Bultheel Book Review: \booktitleNotes on logic
and set theory: P. T. Johnstone,
Cambridge University press, Cambridge,
1987, pp., Price: \$34.5 H/b (ISBN:
0-521-33502-7), \$12.95 P/b (ISBN:
0-521-33692-9) . . . . . . . . . . . . . N2
A. Bultheel Book Review: \booktitleNumerical
methods: D. Greenspan (University of
Texas at Arlington, U.S.A.), P. Rózsa
(Technical University of Budapest,
Hungary), Colloquia Mathematica
Societatis Janos Bolyai, vol 50
North-Holland, Elsevier Science
Publishers, Amsterdam, 1988, 688 pp.,
Price: US \$223.75 / Dfl. 425.00, ISBN
0-444-70209-1} . . . . . . . . . . . . . N2
Anonymous Book Review: \booktitleOperator methods
for optimal control problems: Sung J.
Lee (ed.) Lecture Notes in pure and
applied mathematics vol. 108, Marcel
dekker, Inc., New York, Basel, 1987, 344
pp., Price: \$79.50 (U.S. and Canada),
\$95.25 (all other countries), ISBN:
0-8247-7811-1 . . . . . . . . . . . . . N3
A. Bultheel Book Review: \booktitleDigitale filter:
Hamming R. W. Informationstechnologie
VCH Verlagsgesellschaft, Weinheim, F. R.
Germany, 1987, 275 pp., Price: DM 64,
ISBN 3-527-26463-9 . . . . . . . . . . . N3
Jan Goossenaerts Book Review: \booktitleFoundations and
applications of Montague grammar; part
1: philosophy, framework, computer
science: T. M. V. Janssen, CWI Tract 19,
Centre for Mathematics and Computer
Science, Amsterdam, The Netherlands,
1986, 205 pp., Price: Dfl. 31.30, ISBN:
90-6196-292-7 . . . . . . . . . . . . . N3--N4
Jan Goossenaerts Book Review: \booktitleThe ecology of
computation: B. A. Huberman (ed.)
Studies in Computer Science and
Artificial Intelligence 2,
North-Holland, Amsterdam, New York,
Oxford, Tokyo, 1988, 342 pp., Price: US
\$84.25 / Dfl. 160.00, ISBN:
0-444-70375-6} . . . . . . . . . . . . . N4--N5
P. Levrie Book Review: \booktitleOn functions and
functional equations: J. Smíal, Adam
Hilger, Bristol and Philadelphia 1988,
155 pp., Price: UK 12.50 Pounds, ISBN
0-85274-418-8 . . . . . . . . . . . . . N5
Anonymous Call for papers . . . . . . . . . . . . N5--N6
Anonymous International course on computational
geometry . . . . . . . . . . . . . . . . N6--N8
Anonymous Editorial board . . . . . . . . . . . . ii--iii
John Carroll A composite integration scheme for the
numerical solution of systems of
ordinary differential equations . . . . 1--13
Lucio Torelli Stability of numerical methods for delay
differential equations . . . . . . . . . 15--26
Paula De Oliveira Some simple characterizations of
contractivity regions . . . . . . . . . 27--32
Jeannette Van Iseghem Convergence of the vector $ Q D
$-algorithm. Zeros of vector orthogonal
polynomials . . . . . . . . . . . . . . 33--46
J. Greydanus and
H. Rasmussen On the solution of a generalized Stefan
problem . . . . . . . . . . . . . . . . 47--60
Shlomo Breuer Polynomial iterations of $r$-th order
for the extraction of $k$-th roots . . . 61--68
D. S. Meek and
D. J. Walton The use of Cornu spirals in drawing
planar curves of controlled curvature 69--78
B. Bertram On the product integration method for
solving singular integral equations in
scattering theory . . . . . . . . . . . 79--92
Paul Levrie Pringsheim's theorem revisited . . . . . 93--104
A. Ronveaux and
F. Marcellan Co-recursive orthogonal polynomials and
fourth-order differential equation . . . 105--109
Sabine Van Huffel The extended classical total least
squares algorithm . . . . . . . . . . . 111--119
L. R. Shenton and
A. W. Kemp An $S$-fraction and $ \ln^2 (1 + x)$ . . 121--124
A. Lembarki On a Khovanskii transformation for
continued fractions . . . . . . . . . . 125--131
Ulla Miekkala Dynamic iteration methods applied to
linear DAE systems . . . . . . . . . . . 133--151
A. T. Chronopoulos and
C. W. Gear $s$-step iterative methods for symmetric
linear systems . . . . . . . . . . . . . 153--168
Charles K. Chui and
Harvey Diamond and
Louise Raphael Shape-preserving quasi-interpolation and
interpolation by box spline surfaces . . 169--198
Walter Gautschi and
Sotorios E. Notaris Gauss--Kronrod quadrature formulae for
weight functions of Bernstein--Szeg\Ho
type . . . . . . . . . . . . . . . . . . 199--224
Turgut Özis A novel variation of the coordinate
transformation method with perturbation
technique for diffusion-controlled
moving boundary problems . . . . . . . . 225--235
Christian Lécot Low discrepancy sequences for solving
the Boltzmann equation . . . . . . . . . 237--249
Anonymous Newsletter on computational and applied
mathematics . . . . . . . . . . . . . . N1--N18
Annamaria Palamara Orsi Nested quadrature rules for Cauchy
principal value integrals . . . . . . . 251--266
Peiqing Li and
A. G. Ramm Numerical recovery of the layered medium
from the surface data . . . . . . . . . 267--276
C.-S. Chien Secondary bifurcations in the buckling
problem . . . . . . . . . . . . . . . . 277--287
Bernard Bialecki Sinc-type approximations in $ H^1 $-norm
with applications to boundary value
problems . . . . . . . . . . . . . . . . 289--303
Fabio A. Milner $ L^\infty $-error estimates for linear
elasticity problems . . . . . . . . . . 305--313
N. I. Ioakimidis Location of boundary contours and
discontinuity arcs, of known shape and
conditions, of analytic functions by
using contour integrals . . . . . . . . 315--326
Jarle Berntsen Practical error estimation in adaptive
multidimensional quadrature routines . . 327--340
Alfredo Bellen and
Marino Zennaro Parallel algorithms for initial-value
problems for difference and differential
equations . . . . . . . . . . . . . . . 341--350
Lucas Jódar and
Antonio Hervás An algorithm for solving coupled
differential matrix systems:
approximations, convergence and upper
error bounds . . . . . . . . . . . . . . 351--362
A. R. Mitchell and
S. W. Schoombie Nonlinear diffusion and stable period 2
solutions of a discrete
reaction--diffusion model . . . . . . . 363--372
W. Solak On quadrature formulas with end
corrections . . . . . . . . . . . . . . 373--377
Francisco Pérez-Acosta An algorithm for the computation of the
derivatives of a quotient . . . . . . . 379--385
Anonymous Author index to volume 25 (1989) . . . . 387--388
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Hans D. Mittelmann and
Dirk Roose Preface . . . . . . . . . . . . . . . . 1--2
E. L. Allgower and
C.-S. Chien and
K. Georg Large sparse continuation problems . . . 3--21
Erich Miersemann and
Hans D. Mittelmann Continuation for parametrized nonlinear
variational inequalities . . . . . . . . 23--34
Ronald H. W. Hoppe and
Hans D. Mittelmann A multi-grid continuation strategy for
parameter-dependent variational
inequalities . . . . . . . . . . . . . . 35--46
W. M. Coughran, Jr. and
M. R. Pinto and
R. K. Smith Continuation methods in semiconductor
device simulation . . . . . . . . . . . 47--65
Randolph E. Bank and
Hans D. Mittelmann Stepsize selection in continuation
procedures and damped Newton's method 67--77
Chris Budd Symmetry breaking and semilinear
elliptic equations . . . . . . . . . . . 79--96
Michael Dellnitz and
Bodo Werner Computational methods for bifurcation
problems with symmetries-with special
attention to steady state and Hopf
bifurcation points . . . . . . . . . . . 97--123
A. Spence and
K. A. Cliffe and
A. D. Jepson A note on the calculation of paths of
Hopf bifurcations . . . . . . . . . . . 125--131
Andreas Griewank and
George W. Reddien Computation of cusp singularities for
operator equations and their
discretizations . . . . . . . . . . . . 133--153
Eusebius J. Doedel and
Mark J. Friedman Numerical computation of heteroclinic
orbits . . . . . . . . . . . . . . . . . 155--170
Bart De Dier and
Dirk Roose and
Paul Van Rompay Interaction between fold and Hopf curves
leads to new bifurcation phenomena . . . 171--186
Christian Kaas-Petersen Bi-periodicity in an isothermal
autocatalytic reaction--diffusion system 187--198
E. Lindtner and
A. Steindl and
H. Troger Generic one-parameter bifurcations in
the motion of a simple robot . . . . . . 199--218
Maharaja C. Pandian A partial upwind difference scheme for
nonlinear parabolic equations . . . . . 219--233
William B. Gearhart and
Mathew Koshy Acceleration schemes for the method of
alternating projections . . . . . . . . 235--249
B. C. Soh On the degree of approximation to
periodic functions by a trigonometric
spline convolution operator . . . . . . 251--255
Robert Beauwens and
Renaud Wilmet Conditioning analysis of positive
definite matrices by approximate
factorizations . . . . . . . . . . . . . 257--269
M. N. Abdel-Malek and
S. N. Hanna and
M. B. Abd-El-Malek Approximate solution for gravity flow
under a Tainter gate . . . . . . . . . . 271--279
A. Zochowski and
P. Holnicki Interactive method of variational grid
generation . . . . . . . . . . . . . . . 281--287
Tomasz Szulc Criteria for the nonsingularity of
partitioned matrices . . . . . . . . . . 289--295
M. Gasca and
J. J. Martínez and
G. Mühlbach Computation of rational interpolants
with prescribed poles . . . . . . . . . 297--309
J.-Fr. Hake and
W. Homberg Linear algebra software on IBM and CRAY
computers . . . . . . . . . . . . . . . 311--325
S. Joe The generation of lattice points for
numerical multiple integration . . . . . 327--331
Jürgen Eichenauer-Herrmann and
Jürgen Lehn Minimax estimators for the location
parameter of a noncentral exponential
distribution when the parameter space is
bounded . . . . . . . . . . . . . . . . 333--337
S. Filippi and
U. Buchacker Stepsize control for delay differential
equations using a pair of formulae . . . 339--343
R. Vulanovi\'c Finite-difference schemes for
quasilinear singular perturbation
problems . . . . . . . . . . . . . . . . 345--365
L. R. Shenton and
A. W. Kemp An $S$-fraction and $ \ln^2 (1 + x)$ . . 367--370
A. K. Yeyios A necessary condition for the
convergence of the accelerated
overrelaxation (AOR) method . . . . . . 371--373
G. Adomian Comments on a ``counterexample'' to
decomposition . . . . . . . . . . . . . 375--376
Anonymous Author index to volume 26 (1989) . . . . 377--378
Anonymous Book Review: \booktitleProceedings of
the international symposium on numerical
analysis: O. Celebi and B. Karasö (Eds.)
1989 Middle East Technical University,
350 pp., Price: $ \approx $ 5 U.S.\$ +
mailing costs, ISBN 975-429-007-5} . . . N2
E. Van Gestel Book Review: \booktitleProgram
correctness over abstract data types,
with error-state semantics: J. V. Tucker
and J. I. Zucker, CWI Monographs, Vol.
6, North-Holland, Amsterdam, 1988, 212
pages, Price: U.S. \$58.00\slash Dfl.
110.00, ISBN 0-444-70340-3} . . . . . . N2
Anonymous Institutional reports and doctoral
theses . . . . . . . . . . . . . . . . . N3--N5
Anonymous Announcement of conferences . . . . . . N6--N11
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
Anonymous Preface . . . . . . . . . . . . . . . . ix--x
M. H. C. Paardekooper A quadratically convergent parallel
Jacobi process for diagonally dominant
matrices with distinct eigenvalues . . . 3--16
J.-P. Charlier and
P. van Dooren A Jacobi-like algorithm for computing
the generalized Schur form of a regular
pencil . . . . . . . . . . . . . . . . . 17--36
L. Magnus Ewerbring and
Franklin T. Luk Canonical correlations and generalized
SVD: Applications and new algorithms . . 37--52
Jean-Marc Delosme and
Ilse C. F. Ipsen From Bareiss' algorithm to the stable
computation of partial correlations . . 53--91
Ömer E\ugecio\uglu and
Çetin K. Koc and
Alan J. Laub A recursive doubling algorithm for
solution of tridiagonal systems on
hypercube multiprocessors . . . . . . . 95--108
C.-T. Pan and
R. J. Plemmons Least squares modifications with inverse
factorizations: Parallel implications 109--127
Alan George and
Michael Heath and
Joseph Liu and
Esmond Ng Solution of sparse positive definite
systems on a hypercube . . . . . . . . . 129--156
I. Babuska and
H. C. Elman Some aspects of parallel implementation
of the finite-element method on message
passing architectures . . . . . . . . . 157--187
Michael Berry and
Ahmed Sameh An overview of parallel algorithms for
the singular value and symmetric
eigenvalue problems . . . . . . . . . . 191--213
Jack J. Dongarra and
Danny C. Sorensen and
Sven J. Hammarling Block reduction of matrices to condensed
forms for eigenvalue computations . . . 215--227
Iain S. Duff Multiprocessing a sparse matrix code on
the Alliant FX/8 . . . . . . . . . . . . 229--239
Paul N. Swarztrauber and
Roland A. Sweet Vector and parallel methods for the
direct solution of Poisson's equation 241--263
Herman Te Riele and
Walter Lioen and
Dik Winter Factoring with the quadratic sieve on
large vector computers . . . . . . . . . 267--278
W. Schönauer and
R. Weiß Efficient vectorizable PDE solvers . . . 279--297
O. Axelsson and
V. Eijkhout Vectorizable preconditioners for
elliptic difference equations in three
space dimensions . . . . . . . . . . . . 299--321
J. J. F. M. Schlichting and
H. A. van der Vorst Solving $3$D block bidiagonal linear
systems on vector computers . . . . . . 323--330
M. B. Suleiman and
C. W. Gear Treating a single, stiff, second-order
ODE directly . . . . . . . . . . . . . . 331--348
M. Spivack and
B. J. Uscinski The split-step solution in random wave
propagation . . . . . . . . . . . . . . 349--361
W. A. Essah and
L. M. Delves The numerical solution of first kind
integral equations . . . . . . . . . . . 363--387
Norm Eggert and
John Lund The trapezoidal rule for analytic
functions of rapid decrease . . . . . . 389--406
Alexander P. Morgan and
Andrew Sommese and
Layne T. Watson Mathematical reduction of a heart dipole
model . . . . . . . . . . . . . . . . . 407--410
P. J. Van Der Houwen and
B. P. Sommeijer and
P. A. Van Mourik Note on explicit parallel multistep
Runge--Kutta methods . . . . . . . . . . 411--420
W. Hoffmann An estimate for the spectral norm of the
inverse of a matrix with the
Gauss--Jordan algorithm . . . . . . . . 421--428
Anonymous Erratum: Gauss--Kronrod quadrature
formulae for weight functions of
Bernstein--Szeg\Ho type: Journal of
Computational and Applied Mathematics
\bf 25 (2) (1989) 199--224 . . . . . . . 429--429
Anonymous Author Index to Volume 27 (1989) . . . . 431--432
Anonymous Editorial Board . . . . . . . . . . . . ii--iii
F. Broeckx and
M. J. Goovaerts and
R. Piessens and
L. Wuytack Preface . . . . . . . . . . . . . . . . 1--1
Hermann Brunner The numerical treatment of Volterra
integro-differential equations with
unbounded delay . . . . . . . . . . . . 5--23
Werner Liniger A quasi-direct fast Poisson solver for
general regions . . . . . . . . . . . . 25--47
Li Ta-tsien A class of non-local boundary value
problems for partial differential
equations and its applications in
numerical analysis . . . . . . . . . . . 49--62
N. Papamichael Numerical conformal mapping onto a
rectangle with applications to the
solution of Laplacian problems . . . . . 63--83
Philip Rabinowitz Product integration based on
Hermite--Fejér interpolation . . . . . . 85--101
Mina B. Abd-el-Malek and
Sarwat N. Hanna Approximate solution of a flow over a
ramp for large Froude number . . . . . . 105--117
J. M. Barry and
J. P. Pollard and
E. W. Wachspress A method of parallel iteration . . . . . 119--127
Lutgarde Beernaert and
Dirk Roose Efficiency results for Gaussian
elimination on the iPSC/2 hypercube . . 129--143
Helmut Brass and
Klaus-Jürgen Förster Error bounds for quadrature formulas
near Gaussian quadrature . . . . . . . . 145--154
P. P. N. de Groen and
M. van Veldhuizen A stabilized Galerkin method for
convection dominated diffusion problems 155--162
Marino de Luca and
Antonino Maugeri Quasi-variational inequalities and
applications to the traffic equilibrium
problem: discussion of a paradox . . . . 163--171
Erik Dick Multigrid acceleration of a
flux-difference splitting method for
steady Euler equations . . . . . . . . . 173--180
Herbert Fischer Automatic differentiation of
characterizing sequences . . . . . . . . 181--185
J. A. Ford and
R.-A. Ghandhari On the use of function-values in
unconstrained optimisation . . . . . . . 187--198
Lisa Jacobsen and
Haakon Waadeland When does $ f(z) $ have a regular
$C$-fraction expansion or a normal Padé
table? . . . . . . . . . . . . . . . . . 199--206
H. Janssen and
R. Van Dooren A one-step integration routine for
normal differential systems, based on
Gauss--Legendre quadrature . . . . . . . 207--217
D. K. Kahaner and
W. F. Lawkins and
S. Thompson On the use of rootfinding ODE software
for the solution of a common problem in
nonlinear dynamical systems . . . . . . 219--230
Ayse Kiper Some recurrence relations and their
parallel evaluation using nested
recurrent product form algorithm . . . . 231--235
Ryszard Klempous and
Jerzy Kotowski and
Mieczyslaw Kuliszewski The linearized version of an algorithm
for the mixed norms problem . . . . . . 237--247
Arnold Knopfmacher and
John Knopfmacher Inverse polynomial expansions of Laurent
series, II . . . . . . . . . . . . . . . 249--257
Peter Köhler Estimates for Sard's best formulas for
linear functionals on $ C^S[a, b] $ . . 259--267
Jenn Hua Lee and
Shi Nine Yang Shape preserving and shape control with
interpolating Bézier curves . . . . . . . 269--280
Li Shoufu Stability and $B$-convergence of general
linear methods . . . . . . . . . . . . . 281--296
F. Mampaey A numerical technique to increase the
stability of the ADI method in
solidification simulation . . . . . . . 297--308
P. Marzulli and
G. Gheri Estimation of the global discretization
error in shooting methods for linear
boundary value problems . . . . . . . . 309--314
Tsuyako Miyakoda Iterative methods for multiple zeros of
a polynomial by clustering . . . . . . . 315--326
Mu Mu Global classical solutions to
initial-boundary value problems for the
potential vorticity equation . . . . . . 327--338
K. Ruotsalainen and
J. Saranen On the collocation method for a
nonlinear boundary integral equation . . 339--348
György Sonnevend Applications of the notion of analytic
center in approximation (estimation)
problems . . . . . . . . . . . . . . . . 349--358
J. Spoelstra The modelling of oil agglomeration of
coal fines . . . . . . . . . . . . . . . 359--366
Hiroshi Sugiura and
Tetsuya Sakurai On the construction of high-order
integration formulae for the adaptive
quadrature method . . . . . . . . . . . 367--381
Münevver Tezer On the numerical evaluation of an
oscillating infinite series . . . . . . 383--390
G. Vanden Berghe and
V. Fack and
H. E. De Meyer Numerical methods for solving radial
Schrödinger equations . . . . . . . . . . 391--401
Changhui Wu and
Song Wang Domain decomposition technique for the
continuity equations of semiconductor
device models . . . . . . . . . . . . . 403--412
Anonymous List of invited talks . . . . . . . . . 413--413
Anonymous List of papers presented at the congress 414--417
Anonymous Author index to volume 28 (1989) . . . . 419--420
Anonymous Newsletter on computational and applied
mathematics: Vol. 5, nr. 3, November
1989 . . . . . . . . . . . . . . . . . . N1--N13