Last update:
Thu Apr 11 09:52:27 MDT 2024
M. J. Lighthill Group velocity . . . . . . . . . . . . . 1--28
K. Stewartson On magnetic boundary layers . . . . . . 29--41
D. J. Daley and
D. G. Kendall Stochastic rumours . . . . . . . . . . . 42--55
D. R. Bland On shock structure in a solid . . . . . 56--75
L. S. D. Morley A variational method of solution for
problems in plane elasticity . . . . . . 76--100
E. Varley and
E. Cumberbatch Non-linear theory of wave-front
propagation . . . . . . . . . . . . . . 101--112
Charles L. Dolph and
John M. Richardson A note on variational principles for
unsteady compressible flows in one
dimension . . . . . . . . . . . . . . . 113--117
M. Honda Stream-function co-ordinates in
rotational flow and an analysis of the
flow in shock layer. I. Two-dimensional
flow . . . . . . . . . . . . . . . . . . 127--148
T. R. Faulkner Diffraction of an electromagnetic
plane-wave by a metallic strip . . . . . 149--163
C. W. Clenshaw and
J. G. Hayes Curve and surface fitting . . . . . . . 164--183
P. B. Chapman Weak cylindrical implosions . . . . . . 184--197
D. E. Newland Energy sharing in the random vibration
of non-linearly coupled modes . . . . . 199--207
D. S. Jones Some remarks on Hilbert transforms . . . 226--240
G. D. Crapper Steady magnetogasdynamic flow past a
source . . . . . . . . . . . . . . . . . 241--257
G. Fairweather and
A. R. Mitchell A high accuracy alternating direction
method for the wave equation . . . . . . 309--316
W. E. Williams Integral equation formulation of Oseen
flow problems . . . . . . . . . . . . . 339--347
J. Watson On the existence of solutions for a
class of rotating disc flows and the
convergence of a successive
approximation scheme . . . . . . . . . . 348--371
Nicholas Chako Asymptotic expansions of double and
multiple integrals occurring in
diffraction theory . . . . . . . . . . . 372--422
E. Cumberbatch and
E. Varley Generalized self-similar flows . . . . . 1--11
P. Chadwick The initial stages of cooling of a
non-homogeneous sphere . . . . . . . . . 29--39
C. G. Broyden An alternative derivation of simplex
method . . . . . . . . . . . . . . . . . 40--54
D. J. Evans Simplified implicit methods for the
finite difference solution of parabolic
and hyperbolic partial differential
equations . . . . . . . . . . . . . . . 76--96
J. Gilder A class of pencils of matrices . . . . . 126--132
E. Varley and
E. Cumberbatch Non-linear, high frequency sound waves 133--143
B. Granoff and
R. M. Lewis Asymptotic solution of hyperbolic
systems with constant coefficients . . . 144--156
W. E. Williams Electromagnetic diffraction in an
anisotropic medium . . . . . . . . . . . 186--196
D. S. Jones Fourier transforms and the method of
stationary phase . . . . . . . . . . . . 197--222
J. E. F. Williams Radiation from a dipole distribution in
inhomogeneous convective motion . . . . 223--227
M. J. D. Powell and
J. Swann Weighted uniform sampling --- a Monte
Carlo technique for reducing variance 228--236
G. R. Walsh The fourth necessary condition in an
optimal rocket trajectory . . . . . . . 237--247
R. E. Herbert Stability of elastic bodies subjected to
body and pressure forces with
specialization to thin shells . . . . . 248--265
E. L. Albasiny and
W. A. Day Some best-possible error bounds in
deformation theory . . . . . . . . . . . 266--272
J. Gilder Errata: A class of pencils of matrices 283--283
G. Eason The displacement produced in an elastic
half-space by a suddenly applied surface
force . . . . . . . . . . . . . . . . . 299--326
D. R. Bland Finite elastodynamics . . . . . . . . . 327--342
J. Genin and
J. S. Maybee A stability theorem for a class of
damped dynamic systems and some
applications . . . . . . . . . . . . . . 343--357
E. T. Copson and
P. Keast On a boundary-value problem for the
equation of heat . . . . . . . . . . . . 358--363
D. Q. Mayne Recent approaches to the control of
stochastic processes . . . . . . . . . . 46--59
L. G. Chambers A comparison of two variational methods 166--168
Kathleen M. Urwin Perturbation solutions of the
Whittaker-Hill equation . . . . . . . . 169--180
G. E. Hunt The transport equation of radiative
transfer in a three-dimensional space
with anisotropic scattering . . . . . . 181--192
J. C. Gittins A generalization of a result in linear
programming . . . . . . . . . . . . . . 193--201
J. K. Aggarwal Amplitude bounds on periodic and
aperiodic oscillations: Second-order
systems . . . . . . . . . . . . . . . . 202--215
L. Rubenfeld and
J. Bazer Diffraction by an anisotropic disk,
perfectly conducting along equiangular
spirals . . . . . . . . . . . . . . . . 216--244
R. E. Meyer On the approximation of double limits by
single limits and the Kaplun extension
theorem . . . . . . . . . . . . . . . . 245--249
R. S. Scorer Local instability in curved flow . . . . 250--265
Jack K. Cohen and
Robert M. Lewis A ray method for the asymptotic solution
of the diffusion equation . . . . . . . 266--290
B. D. Sleeman The low-frequency scalar Dirichlet
scattering by a general ellipsoid . . . 291--312
J. Brindley Thermal convection in horizontal fluid
layers . . . . . . . . . . . . . . . . . 313--343
James S. W. Wong On the global asymptotic stability of $
(p(t)x^\prime)^\prime + q(t)x^{2n - 1} =
0 $ . . . . . . . . . . . . . . . . . . 403--405
M. J. Lighthill Mathematics in control . . . . . . . . . 1--19
M. D. Savage A method for determining linear
solutions in magnetohydrodynamics . . . 20--32
S. Barnett and
C. Storey Some Applications of the Lyapunov Matrix
Equation . . . . . . . . . . . . . . . . 33--42
B. D. Sleeman On parabolic cylinder functions . . . . 106--112
A. Erdélyi Two-variable expansions for singular
perturbations . . . . . . . . . . . . . 113--119
John Heading Wave propagation governed by an infinite
number of transition points . . . . . . 123--139
E. L. Albasiny and
W. A. Day The numerical solution of linear
one-dimensional parabolic problems by
the method of moments . . . . . . . . . 140--162
M. D. A. Cooley and
M. E. O'Neil On the slow rotation of a sphere about a
diameter parallel to a nearby plane wall 163--173
R. Grimshaw Propagation of surface waves at high
frequencies . . . . . . . . . . . . . . 174--193
I. G. Cameron and
G. C. Scorgie Dynamics of intense underground
explosions . . . . . . . . . . . . . . . 194--222
A. A. Anis and
A. S. T. El-Naggar The storage-stationary distribution in
the case of two streams . . . . . . . . 223--231
P. J. Barratt Scattering of plane harmonic waves in an
infinite elastic solid by an arbitrary
configuration of two-dimensional
obstacles . . . . . . . . . . . . . . . 233--249
P. A. Goodinson and
R. A. Newing Einstein--Maxwell fields with non-zero
charge-current distribution . . . . . . 270--275
R. Datko The asymptotic stability of a class of
second order differential equations . . 276--281
H. C. Levey and
J. J. Mahony Resonance in almost linear systems . . . 282--294
D. J. Evans The use of pre-conditioning in iterative
methods for solving linear equations
with symmetric positive definite
matrices . . . . . . . . . . . . . . . . 295--314
R. A. Waldron The integration of Bessel functions . . 315--319
I. M. Longman On the numerical inversion of the
Laplace transform of a discontinuous
original . . . . . . . . . . . . . . . . 320--328
Debasis Mitra The irreducible representations of $ 2 p
$-pole linear Lagrangian systems . . . . 329--338
J. Oliver Inherent instability in systems of first
order linear differential equations . . 399--409
J. K. Cohen and
D. L. Hector Edge 'diffraction' for the diffusion
equation . . . . . . . . . . . . . . . . 1--18
M. Cotsaftis On stability of motion . . . . . . . . . 19--54
E. L. Albasiny and
W. A. Day The forced motion of an extensible
mooring cable . . . . . . . . . . . . . 55--71
P. A. Goodinson and
R. A. Newing Einstein--Maxwell null fields with
non-zero current distribution . . . . . 72--90
H. E. Doran and
V. T. Buchwald The half-plane with an edge crack in
plane elastostatics . . . . . . . . . . 91--112
Daljit S. Ahluwalia and
Robert M. Lewis Diffraction of progressing waves by a
screen . . . . . . . . . . . . . . . . . 113--139
P. Currie and
M. Hayes Longitudinal and transverse waves in
finite elastic strain. Hadamard and
Green materials . . . . . . . . . . . . 140--161
R. Fletcher A technique for orthogonalization . . . 162--166
R. M. Blowers On the response of an elastic solid to
droplet impact . . . . . . . . . . . . . 167--193
Ben Noble and
M. Hussain A variational method for inclusion and
indentation problems . . . . . . . . . . 194--205
S. N. Brown and
K. Stewartson Flow near the apex of a plane delta wing 206--216
S. H. Smith The reflection of surface waves by two
parallel vertical barriers . . . . . . . 217--229
I. Grattan-Guinness Joseph Fourier and the revolution in
mathematical physics . . . . . . . . . . 230--253
J. C. Henderson and
E. A. W. Maunder A problem in applied topology: On the
selection of cycles for the flexibility
analysis of skeletal structures . . . . 254--269
S. H. Advani Wave propagation in an infinite plate 271--282
P. Chadwick and
A. F. Johnson Torsional oscillations of a rigid convex
inclusion embedded in an elastic solid 283--307
R. Collins and
A. Wragg The solution of a statistical decision
problem with moving boundaries by the
image method . . . . . . . . . . . . . . 308--317
R. F. Churchhouse and
S. T. E. Muir Continued fractions, algebraic numbers
and modular invariants . . . . . . . . . 318--328
Roland A. Sweet Properties of a semi-discrete
approximation to the beam equation . . . 329--339
L. Fox and
R. Sankar Boundary singularities in linear
elliptic differential equations . . . . 340--350
H. E. Doran The wedge with a symmetric crack at the
vertex in plane elastostatics . . . . . 363--372
N. Fox Low temperature effects and generalized
thermoelasticity . . . . . . . . . . . . 373--386
J. M. Fitz-Gerald and
J. A. McGeough Mathematical theory of electrochemical
machining. I: Anodic smoothing . . . . . 387--408
J. M. Fitz-Gerald and
J. A. McGeough and
L. McL. Marsh Mathematical theory of electrochemical
machining. II: Anodic shaping . . . . . 409--421
N. Anderson and
A. M. Arthurs and
P. D. Robinson Pairs of complementary variational
principles . . . . . . . . . . . . . . . 422--431
B. D. Sleeman On diffraction at short wavelengths by a
prolate spheroid . . . . . . . . . . . . 432--442
L. Rubenfeld and
J. Bazer Errata and addenda: ``Diffraction by an
anisotropic disk, perfectly conducting
along equiangular spirals'' . . . . . . ??
A. R. Gourlay On Chebychev acceleration procedures for
alternating direction iterative methods 1--11
Robert E. O'Malley, Jr. A non-linear singular perturbation
problem arising in the study of chemical
flow reactors . . . . . . . . . . . . . 12--20
F. W. G. Warren A method for finding bounds for complex
eigenvalues of second order systems . . 21--26
W. Hill and
P. R. Wallis The application of the theory of games
to mine countermeasures tactics . . . . 27--41
J. S. Asvestas and
R. E. Kleinman Low frequency scattering by spheroids
and disks. I: Dirichlet problem for a
prolate spheroid . . . . . . . . . . . . 42--56
J. S. Asvestas and
R. E. Kleinman Low frequency scattering by spheroids
and disks. II: Neumann problem for a
prolate spheroid . . . . . . . . . . . . 57--75
C. G. Broyden The convergence of a class of
double-rank minimization algorithms. I:
General considerations . . . . . . . . . 76--90
J. A. Shercliff A note on the envelope construction for
group velocity in dispersive,
anisotropic wave systems . . . . . . . . 91--95
J. A. Shercliff On flow past bodies in aligned magnetic
fields . . . . . . . . . . . . . . . . . 96--101
D. A. MacDonald Solution of the incompressible boundary
layer equations via the
Galerkin-Kantorovich technique . . . . . 115--130
P. Whittle and
P. A. Gait Reduction of a class of stochastic
control problems . . . . . . . . . . . . 131--140
A. M. J. Davis Waves in the presence of an infinite
dock with gap . . . . . . . . . . . . . 141--156
J. S. Asvestas and
R. E. Kleinman Low frequency scattering by spheroids
and disks. III: Oblate spheroids and
disks . . . . . . . . . . . . . . . . . 157--163
A. J. M. Spencer The static theory of finite elasticity 164--200
E. A. Marshall The dynamic plane deformation of a rigid
perfectly-plastic slab . . . . . . . . . 201--211
P. A. Goodinson and
R. A. Newing Einstein--Maxwell fields in the presence
of matter and pressure . . . . . . . . . 212--221
C. G. Broyden The convergence of a class of
double-rank minimization algorithms, II:
The new algorithm . . . . . . . . . . . 222--231
A. Hadjidimos Solving the four-dimensional Laplace's
equation by using extrapolated
alternating direction implicit methods 232--240
A. A. Anis and
S. S. Daoud A continuous reservoir storage problem
involving two streams . . . . . . . . . 241--249
R. T. Waechter The initial structure of wing-body
interaction in supersonic flow . . . . . 310--318
F. G. Leppington On the radiation of short surface waves
by a finite dock . . . . . . . . . . . . 319--340
E. G. D'yakonov On the solution of some elliptic
difference equations . . . . . . . . . . 1--20
M. J. D. Powell On the convergence of the variable
metric algorithm . . . . . . . . . . . . 21--36
W. D. Ashton Distributions for gaps in road traffic 37--46
I. C. Howard An approximation for slowly varying
waves in elastic rods . . . . . . . . . 47--60
D. J. Evans The numerical solution of the fourth
boundary value problem for parabolic
partial differential equations . . . . . 61--75
R. Fletcher A general quadratic programming
algorithm . . . . . . . . . . . . . . . 76--91
D. F. Parker An asymptotic theory for oscillatory
non-linear signals . . . . . . . . . . . 92--110
R. A. Sweet Oscillation properties of a semidiscrete
approximation to the beam equation with
a second order term . . . . . . . . . . 119--125
R. W. Lardner Dislocations in materials with couple
stress . . . . . . . . . . . . . . . . . 126--137
J. A. Murphy Certain rational function approximations
to $ (1 + x^2){}^{-1 / 2} $ . . . . . . 138--150
G. T. McAllister On the Neumann problem for some linear
and non-linear uniformly elliptic
difference equations . . . . . . . . . . 151--167
J. R. Willis Interfacial stresses induced by
arbitrary loading of dissimilar elastic
half-spaces joined over a circular
region . . . . . . . . . . . . . . . . . 179--197
D. L. Clements The motion of a heavy cylinder over the
surface of anisotropic elastic solid . . 198--206
R. J. Jarvis The scattering of surface waves by two
vertical plane barriers . . . . . . . . 207--215
A. R. Gourlay and
G. R. McGuire General hopscotch algorithm for the
numerical solution of partial
differential equations . . . . . . . . . 216--227
R. Wait and
A. R. Mitchell The solution of time dependent problems
by Galerkin methods . . . . . . . . . . 241--250
C. Sozou Boundary layer growth on a spinning
sphere . . . . . . . . . . . . . . . . . 251--259
R. L. Racicot Fitting a filtered Poisson process . . . 260--272
B. A. Carré An algebra for network routing problems 273--294
Ranjit S. Dhaliwal The steady-state thermoelastic mixed
boundary-value problem for the elastic
layer . . . . . . . . . . . . . . . . . 295--302
N. S. Kambo Error of certain Gauss quadrature
formulas . . . . . . . . . . . . . . . . 303--307
W. Barrett On the convergence of sequences of
rational approximations to analytic
functions of a certain class . . . . . . 308--323
A. M. Arthurs and
C. W. Coles Error bounds and variational methods for
non-linear differential and integral
equations . . . . . . . . . . . . . . . 324--330
R. S. Taylor and
F. M. Arscott Lamé's equation and its use in elliptic
cone problems . . . . . . . . . . . . . 331--336
R. S. Taylor A new approach to the delta wing problem 337--347
A. J. Pritchard Stability and stabilization of
second-order systems . . . . . . . . . . 348--360
Apostolos Hadjidimos Optimum extrapolated alternating
direction implicit schemes in the
presence of singular matrices . . . . . 361--366
S. R. Watson Towards the minimum drag on a body of
given volume in slow viscous flow . . . 367--376
P. J. Eberlein On the Diagonalization of Complex
Symmetric Matrices . . . . . . . . . . . 377--383
E. L. Albasiny and
W. D. Hoskins The numerical calculation of odd-degree
polynomial splines with equi-spaced
knots . . . . . . . . . . . . . . . . . 384--397
D. J. Fyfe Linear dependence relations connecting
equal interval $ N{\rm th} $ degree
splines and their derivatives . . . . . 398--406
Per W. Karlsson On the uniqueness and propagation of the
electromagnetic field . . . . . . . . . 1--7
Erich Zauderer On a modification of Hadamard's method
for obtaining fundamental solutions for
hyperbolic and parabolic equations . . . 8--15
G. Peters and
J. H. Wilkinson Practical Problems Arising in the
Solution of Polynomial Equations . . . . 16--35
M. G. Cox Curve fitting with piecewise polynomials 36--52
J. Oliver A practical strategy for the
Clenshaw--Curtis quadrature method . . . 53--56
Eugene L. Wachspress A rational basis for function
approximation . . . . . . . . . . . . . 57--68
Jonathan D. Young Smoothing data with tolerances by use of
linear programming . . . . . . . . . . . 69--79
Anna Bignami and
A. De Matteis A note on sampling from combinations of
distributions . . . . . . . . . . . . . 80--81
M. W. Green A problem connected with the oblique
incidence of surface waves on an
immersed cylinder . . . . . . . . . . . 82--98
Alan Jennings Accelerating the convergence of matrix
iterative processes . . . . . . . . . . 99--110
Maurice Clint and
Alan Jennings A Simultaneous Iteration Method for the
Unsymmetric Eigenvalue Problem . . . . . 111--121
J. A. Grant and
G. D. Hitchins An always convergent minimization
technique for the solution of polynomial
equations . . . . . . . . . . . . . . . 122--129
J. W. Searl Expansions for singular perturbations 131--138
L. M. Hocking Diffusion from disjoint plane domains.
I. The interaction of two domains . . . 139--152
L. M. Hocking Diffusion from disjoint plane domains.
II. Arrays of domains, with application
to the response of a muscle to a drug 153--163
Richard E. Allsop Delay-minimizing settings for fixed-time
traffic signals at a single road
junction . . . . . . . . . . . . . . . . 164--185
Joseph W. Blum and
Donald S. Cohen Acoustic wave propagation in an
underwater sound channel. I. Qualitative
theory . . . . . . . . . . . . . . . . . 186--198
Joseph W. Blum and
Donald S. Cohen Acoustic wave propagation in an
underwater sound channel. II.
Quantitative theory . . . . . . . . . . 199--220
K. Foster and
R. Anderson Dual and complementary variational
principles for two dimensional
electrostatic problems . . . . . . . . . 221--224
T. A. J. Nicholson Extension of dynamic programming to
multi-plant renewal . . . . . . . . . . 225--234
William L. Mocarsky Convergence of step-by-step methods for
non-linear integro-differential
equations . . . . . . . . . . . . . . . 235--239
S. Barnett A new formulation of the theorems of
Hurwitz, Routh and Sturm . . . . . . . . 240--250
C. F. Lee On the solution of some diffusion
equations with concentration-dependent
diffusion coefficients . . . . . . . . . 251--259
A. R. Mitchell and
G. Phillips and
E. Wachspress Forbidden shapes in the finite element
method . . . . . . . . . . . . . . . . . 260--269
L. Fox and
D. F. Mayers and
J. R. Ockendon and
A. B. Tayler On a functional differential equation 271--307
K. I. Iordanidis Numerical solution of the third boundary
value problem for Laplace's equation . . 308--314
M. C. Biggs Minimization algorithms making use of
non-quadratic properties of the
objective function . . . . . . . . . . . 315--327
W. Strieder and
R. Aris Variational bounds for problems in
diffusion and reaction . . . . . . . . . 328--334
Riaz A. Usmani An $ O(h^6) $ finite difference analogue
for the numerical solution of a two
point boundary value problem . . . . . . 335--343
A. R. Curtis and
J. K. Reid The Solution of Large Sparse Unsymmetric
Systems of Linear Equations . . . . . . 344--353
M. E. A. El Tom Application of spline functions to
Volterra integral equations . . . . . . 354--357
Joseph Genin and
John S. Maybee Nonconservative linear systems with
constant coefficients . . . . . . . . . 358--370
Charles B. Dunham Chebyshev approximation by $ {A} + {B}
\log (1 + {CX}) $ . . . . . . . . . . . 371--373
J. K. Reid A Note on the Stability of Gaussian
Elimination . . . . . . . . . . . . . . 374--375
S. McKee Alternating direction methods for a
system of parabolic equations in two
space dimensions with a mixed derivative 376--385
R. K. Jain and
M. K. Jain Optimum Runge--Kutta Fehlberg methods
for first order differential equations 386--396
John J. H. Miller On the location of zeros of certain
classes of polynomials with applications
to numerical analysis . . . . . . . . . 397--406
J. K. Reid On the construction and convergence of a
finite-element solution of Laplace's
equation . . . . . . . . . . . . . . . . 1--13
J. B. Keller and
R. E. Kleinman and
T. B. A. Senior Dipole moments in Rayleigh scattering 14--22
C. J. H. McDiarmid The solution of a timetabling problem 23--34
P. Stow The solution of isentropic transonic
flow . . . . . . . . . . . . . . . . . . 35--46
E. L. Albasiny and
W. D. Hoskins Increased accuracy cubic spline
solutions to two-point boundary value
problems . . . . . . . . . . . . . . . . 47--55
A. Benson and
D. J. Evans The successive peripheral block
over-relaxation method . . . . . . . . . 68--79
A. R. Gourlay and
A. R. Mitchell On the structure of alternating
direction implicit (A.D.I.) and locally
one dimensional (L.O.D.) difference
methods . . . . . . . . . . . . . . . . 80--90
P. E. Gill and
W. Murray Quasi-Newton methods for unconstrained
optimization . . . . . . . . . . . . . . 91--108
D. S. Jones Aerodynamic sound due to a source near a
half-plane . . . . . . . . . . . . . . . 114--122
B. Noble and
M. J. Sewell On dual extremum principles in applied
mathematics . . . . . . . . . . . . . . 123--193
D. W. Arthur Extension of Bairstow's method for
multiple quadratic factors . . . . . . . 194--197
D. V. Evans and
C. A. N. Morris The effect of a fixed vertical barrier
on obliquely incident surface waves in
deep water . . . . . . . . . . . . . . . 198--204
G. T. McAllister Mixed boundary value problems for some
linear and non-linear elliptic
difference equations . . . . . . . . . . 205--217
Robert R. Meyer and
Philip M. Roth Modified damped least squares: An
algorithm for non-linear estimation . . 218--233
S. I. Emenalo Interaction of weak shock waves with
magnetohydrodynamic boundary layers . . 234--249
Douglas M. Hawkins On the choice of segments in piecewise
approximation . . . . . . . . . . . . . 250--256
Henry H. Y. Chien A multiphase algorithm for single
variable equation solving . . . . . . . 290--298
P. M. Dew and
R. E. Scraton An improved method for the solution of
the heat equation in Chebyshev series 299--309
A. H. England The stress boundary value problem for
plane strain deformations of an ideal
fibre-reinforced material . . . . . . . 310--322
Ian Gladwell A posteriori error bounds for
approximate solutions of linear
second-order ordinary differential
equations . . . . . . . . . . . . . . . 323--349
S. McKee Alternating direction methods for
hyperbolic equations with mixed
derivatives . . . . . . . . . . . . . . 350--356
M. J. Davies Time optimal control and the Duffing
oscillator . . . . . . . . . . . . . . . 357--369
Donald Greenspan Numerical studies of flow between
rotating coaxial disks . . . . . . . . . 370--377
A. R. Mitchell Variational principles and the finite
element method . . . . . . . . . . . . . 378--389
A. Rowe The generalized resultant matrix . . . . 390--396
Ali M. Ben Lashiher and
C. Storey Final-stability with some applications 397--410
I. M. Longman Comments on a paper by J. A. Murphy:
``Certain rational function
approximations to $ (1 + x^2)^{-1 / 2}
$''. With a reply by J. A. Murphy . . . 411--412
D. V. Evans and
C. A. N. Morris Complementary approximations to the
solution of a problem in water waves . . 1--9
J. Steinberg Numerical solution of a boundary value
problem arising in the deflection of
beams and shells . . . . . . . . . . . . 10--14
Y. T. Chen Permutation of irreducible sparse
matrices to upper triangular forms . . . 15--18
John Crank and
Radhey S. Gupta A moving boundary problem arising from
the diffusion of oxygen in absorbing
tissue . . . . . . . . . . . . . . . . . 19--33
T. Downs Inversion of rational matrices by the
reinforcement method . . . . . . . . . . 34--41
S. McKee A generalization of the Du Fort-Frankel
scheme . . . . . . . . . . . . . . . . . 42--48
A. I. Mees The describing function matrix . . . . . 49--67
Erwin H. Bareiss Computational solutions of matrix
problems over an integral domain . . . . 68--104
S. C. R. Dennis The motion of a viscous fluid past an
impulsively started semi-infinite flat
plate . . . . . . . . . . . . . . . . . 105--117
A. R. Curtis and
J. K. Reid On the Automatic Scaling of Matrices for
Gaussian Elimination . . . . . . . . . . 118--124
Charles B. Dunham Approximation by exponential-polynomial
products on finite point sets . . . . . 125--127
C. F. Lee On the solution of some diffusion
equations with concentration-dependent
diffusion coefficients. II . . . . . . . 129--133
M. G. Cox The Numerical Evaluation of B-Splines 134--149
G. R. McGuire and
J. Ll. Morris Boundary techniques for the multistep
formulation of the optimized
Lax--Wendroff method for non-linear
hyperbolic systems in two space
dimensions . . . . . . . . . . . . . . . 150--165
K. O. Mead and
L. M. Delves On the prediction of the expansion
coefficients in a variational
calculation . . . . . . . . . . . . . . 166--175
B. A. Packham and
W. E. Williams A note on the transmission of water
waves through small apertures . . . . . 176--184
R. Piessens A new numerical method for the inversion
of the Laplace transform . . . . . . . . 185--192
D. J. Ball and
J. R. Hewit The time optimal control of a class of
distributed systems . . . . . . . . . . 193--201
R. K. Jain and
M. K. Jain Optimum Runge--Kutta--Fehlberg methods
for second-order differential equations 202--210
N. Bleistein and
R. A. Handelsman A generalization of the method of
steepest descent . . . . . . . . . . . . 211--230
D. W. Arthur The Use of Interval Arithmetic to Bound
the Zeros of Real Polynomials . . . . . 231--237
J. C. Wilson Stability of Richtmyer type difference
schemes in any finite number of space
variables and their comparison with
multistep Strang schemes . . . . . . . . 238--257
P. Chadwick and
E. W. Haddon Inflation-extension and eversion of a
tube of incompressible isotropic elastic
material . . . . . . . . . . . . . . . . 258--278
R. A. Sack Variational solutions for eigenvalues of
single and coupled Lamé equations . . . . 279--288
J. A. Tomlin Pivoting for size and sparsity in linear
programming inversion routes . . . . . . 289--295
John Crank and
R. S. Gupta A method for solving moving boundary
problems in heat flow using cubic
splines or polynomials . . . . . . . . . 296--304
J. C. Murray A note on a general linear
initial-boundary value problem . . . . . 305--311
John Heading Further exact and approximate
considerations of the barrier problem 312--324
D. S. Burnett and
W. W. Soroka An efficient numerical technique for
evaluating large quantities of highly
oscillatory integrals . . . . . . . . . 325--332
M. J. D. Powell Quadratic termination properties of
minimization algorithms. I. Statement
and discussion of results . . . . . . . 333--342
M. J. D. Powell Quadratic termination properties of
minimization algorithms. II. Proofs of
theorems . . . . . . . . . . . . . . . . 343--357
Donna K. Dunaway and
B. L. Turlington Modifications to the Garside, Jarratt P.
Mack method for solving ill-conditioned
polynomial equations . . . . . . . . . . 358--368
Charles B. Dunham Chebyshev approximation by $ A + B^*
\log (1 + C X) $. II . . . . . . . . . . 369--372
C. C. Paige Computational variants of the Lanczos
method for the eigenproblem . . . . . . 373--381
R. McLeod and
A. R. Mitchell The construction of basis functions for
curved elements in the finite element
method . . . . . . . . . . . . . . . . . 382--393
S. Hoshino A formulation of variable metric methods 394--403
H. Rasmussen On the convergence of the Rayleigh--Ritz
method in plane subsonic flow . . . . . 1--8
D. H. Wood Generating examples of shock propagation
by three principles . . . . . . . . . . 9--14
M. J. P. Cullen A simple finite element method for
meteorological problems . . . . . . . . 15--31
Vidar Thomée Polygonal domain approximation in
Dirichlet's problem . . . . . . . . . . 33--44
J. A. Glen A criterion for an optimal control
system to have finite switchings . . . . 45--55
J. Grad and
E. Zakraj\vsek Method for evaluation of zeros of Bessel
functions . . . . . . . . . . . . . . . 57--72
K. W. Brodlie and
A. R. Gourlay and
J. Greenstadt Rank-one and rank-two corrections to
positive definite matrices expressed in
product form . . . . . . . . . . . . . . 73--82
Eugene L. Wachspress A rational basis for function
approximation. II: Curved sides . . . . 83--104
S. McKee High accuracy A.D.I. methods for
hyperbolic equations with variable
coefficients . . . . . . . . . . . . . . 105--109
N. Papamichael and
J. R. Whiteman A cubic-spline technique for the one
dimensional heat conduction equation . . 111--113
L. W. Johnson and
R. D. Riess An error analysis for numerical
differentiation . . . . . . . . . . . . 115--120
D. W. Arthur The solution of Fredholm integral
equations using spline functions . . . . 121--129
Hyman Serbin The operational calculus of Heaviside 131--143
E. Minieka and
D. R. Shier A note on an algebra for the $k$ best
routes in a network . . . . . . . . . . 145--149
J. G. Mauldon The elimination of all but two from a
tournament . . . . . . . . . . . . . . . 151--156
Anthony Ralston Some aspects of degeneracy in rational
approximations . . . . . . . . . . . . . 157--170
Keith Glover and
Jan C. Willems On the stability of numerical
integration routines for ordinary
differential equations . . . . . . . . . 171--180
D. Knibb The numerical solution of parabolic
partial differential equations using the
method of Lanczos . . . . . . . . . . . 181--190
Ian Gladwell Rayleigh--Ritz methods for nonlinear
boundary value problems. With an
appendix: Analytical and numerical
examples, by I. Gladwell and J. L. Lloyd 191--211
O. Axelsson Notes on the numerical solution of the
biharmonic equation . . . . . . . . . . 213--226
L. Shafai Expansion of cylindrical Bessel
functions in terms of trigonometric
functions . . . . . . . . . . . . . . . 227--230
P. M. Dew and
R. E. Scraton The solution of the heat equation in two
space variables using Chebyshev series 231--240
D. C. Handscomb The relative sizes of the terms in
Chebyshev and other ultraspherical
expansions . . . . . . . . . . . . . . . 241--246
Charles B. Dunham Chebyshev approximation by exponential
ratios . . . . . . . . . . . . . . . . . 247--249
Yen-Chu Wang Review of some mathematical models of
non-linear domain dynamics in bulk-
effect semiconductors . . . . . . . . . 251--280
A. I. Mees Limit cycle stability . . . . . . . . . 281--295
D. M. Titterington A method of extremum adaptation . . . . 297--315
L. C. W. Dixon Conjugate directions without linear
searches . . . . . . . . . . . . . . . . 317--328
D. Kershaw Two interpolatory cubic splines . . . . 329--333
D. G. Orley and
S. McKee A note on hopscotch as applied to the
bending beam equation . . . . . . . . . 335--338
M. Mezei and
T. Szondy On the possibility of replacing the
backward transformation in the modified
simplex method by a forward
transformation . . . . . . . . . . . . . 339--342
M. J. O'Carroll Inconsistencies and S.O.R. convergence
for the discrete Neumann problem . . . . 343--350
W. E. Hart and
S. O. W. Soul Quasi-Newton methods for discretized
non-linear boundary problems . . . . . . 351--359
C. Underhill and
A. Wragg Convergence properties of Padé
approximants to $ \exp (z) $ and their
derivatives . . . . . . . . . . . . . . 361--367
A. Wragg and
C. Davies Computation of the Exponential of a
Matrix I: Theoretical Considerations . . 369--375
J. D. Fenton Some results for surface gravity waves
on shear flows . . . . . . . . . . . . . 1--20
G. E. Bell and
J. Crank A method of treating boundary
singularities in time-dependent problems 37--48
L. Fox and
R. Sankar The Regula-Falsi method for
free-boundary problems . . . . . . . . . 49--54
D. Anderson Variational principles for the radiative
transfer equation of single scattering 55--62
D. S. Jones The variable metric algorithm for
non-definite quadratic functions . . . . 63--71
A. Peraiah and
I. P. Grant Numerical solution of the radiative
transfer equation in spherical shells 75--90
K. I. Iordanidis Numerical solution of the Robin problem
by extrapolated A. D. I. methods . . . . 91--96
M. Mezei The error of a function approximation
based on random selected points . . . . 97--102
Frank Stenger Integration formulae based on the
trapezoidal formula . . . . . . . . . . 103--114
Jean Dollimore Some algorithms for use with the fast
Fourier transform . . . . . . . . . . . 115--117
J. C. Murray A note on some variational principles
for a class of linear initial- boundary
value problems . . . . . . . . . . . . . 119--123
D. Howe The application of numerical methods to
the conformal transformation of
polygonal boundaries . . . . . . . . . . 125--136
M. C. Easton A fixed point method for Tchebycheff
solution of inconsistent linear
equations . . . . . . . . . . . . . . . 137--154
J. T. Day A Gaussian quadrature method for the
numerical solution of the Goursat
problem . . . . . . . . . . . . . . . . 155--158
N. S. Kambo A note on asymptotic minimal weights for
an integration rule . . . . . . . . . . 159--164
G. A. Wilson and
A. Wragg Numerical methods for approximating
continuous probability density
functions, over $ [0, \infty) $, using
moments . . . . . . . . . . . . . . . . 165--173
E. Della Torre and
W. Kinsner Convergence properties of the successive
extrapolated relaxation (S.E.R.) method 175--185
C. A. Hall and
J. W. Kennedy Convergence of a Ritz approximation for
the steady state heat flow problem . . . 187--196
G. A. Watson One-sided approximation and operator
equations . . . . . . . . . . . . . . . 197--208
V. Pereyra and
G. Scherer Eigenvalues of symmetric tridiagonal
matrices: a fast, accurate and reliable
algorithm . . . . . . . . . . . . . . . 209--222
C. G. Broyden and
J. E. Dennis, Jr. and
Jorge J. More On the local and superlinear convergence
of quasi-Newton methods . . . . . . . . 223--245
K. O. Mead and
L. M. Delves On the convergence rate of generalized
Fourier expansions . . . . . . . . . . . 247--259
P. Anderson and
G. Loizou On the quadratic convergence of an
algorithm which diagonalizes a complex
symmetric matrix . . . . . . . . . . . . 261--271
C. G. Broyden Some Condition Number Bounds for the
Gaussian Elimination Process . . . . . . 273--286
M. Kubí\vcek and
V. Hlavá\vcek General parameter mapping technique ---
a procedure of solution of non-linear
boundary value problems depending on an
actual parameter . . . . . . . . . . . . 287--293
H. Brunner The solution of Volterra integral
equations of the first kind by piecewise
polynomials . . . . . . . . . . . . . . 295--302
E. L. Albasiny and
W. D. Hoskins Explicit error bounds for periodic
splines of odd order on a uniform mesh 303--318
Satoshi Hoshino A method of centres algorithm with
arbitrary parameter and its application 319--328
W. Morven Gentleman Least Squares Computations by Givens
Transformations Without Square Roots . . 329--336
M. C. Biggs A note on minimization algorithms which
make use of non-quadratic properties of
the objective function . . . . . . . . . 337--338
D. Winfield Function minimization by interpolation
in a data table . . . . . . . . . . . . 339--347
J. Ll. Morris and
A. R. Gourlay Modified locally one dimensional methods
for parabolic partial differential
equations in two space variables . . . . 349--353
J. A. Marshall and
A. R. Mitchell An exact boundary technique for improved
accuracy in the finite element method 355--362
J. W. OLoghlen An eigenvalue problem arising in the
theory of shock waves . . . . . . . . . ??
M. J. O'Carroll Uniform convergence of variational
methods for elliptic problems in $N$
dimensions . . . . . . . . . . . . . . . 1--5
M. J. O'Carroll Uniform convergence of variational
methods for plane subsonic flow . . . . 7--12
D. C. Pack and
J. M. Sharp Collisionless flow in vacuum traps . . . 23--38
A. E. Green and
M. Troth Reinforced hosepipes . . . . . . . . . . 39--46
H. Rasmussen and
N. Heys Application of a variational method in
plane compressible flow calculation . . 47--61
A. M. Arthurs Error bound for a class of non-linear
problems in diffusion and reaction . . . 63--66
Eleanor M. James Time optimal control and the van der Pol
oscillator . . . . . . . . . . . . . . . 67--81
P. Jarratt and
N. Parkin On the asymptotic behaviour of a certain
non-linear difference equation . . . . . 83--88
R. J. Henery Solution of Wiener--Hopf integral
equations using the Fast Fourier
Transform . . . . . . . . . . . . . . . 89--96
A. J. Pritchard and
K. T. Parker A lower bound for the cost functional
for control problems in Hilbert space 97--106
W. Barrett On best rational approximations to
certain functions defined as integrals 107--116
A. R. Curtis and
M. J. D. Powel and
J. K. Reid On the estimation of sparse Jacobian
matrices . . . . . . . . . . . . . . . . 117--119
A. R. Curtis and
J. K. Reid The choice of step lengths when using
differences to approximate Jacobian
matrices . . . . . . . . . . . . . . . . 121--126
F. T. Smith Boundary layer flow near a discontinuity
in wall conditions . . . . . . . . . . . 127--145
M. K. Jain and
Settaluri R. K. Iyengar Higher order difference formulae for the
numerical solution of the heat
conduction equation . . . . . . . . . . 147--151
N. Anderson and
A. M. Arthurs Complementary variational principles for
a class of non-linear diffusion
equations . . . . . . . . . . . . . . . 153--159
D. Ellman and
W. Townsend A dynamic programming approach to the
three-machine scheduling problem . . . . 161--167
I. P. Grant and
D. Ellison A numerical treatment of one-dimensional
models of radiative heat transfer in
co-current tube furnaces . . . . . . . . 169--185
S. Vajda Tests of optimality in constrained
optimization . . . . . . . . . . . . . . 187--200
T. Pomentale Homotopy iterative methods for
polynomial equations . . . . . . . . . . 201--213
Sven Hammarling A Note on Modifications to the Givens
Plane Rotation . . . . . . . . . . . . . 215--218
M. R. Osborne Asymptotic error formulae for numerical
quadrature . . . . . . . . . . . . . . . 219--227
A. K. Common and
P. R. Graves-Morris Some properties of Chisholm approximants 229--232
M. J. P. Cullen A finite element method for a non-linear
initial value problem . . . . . . . . . 233--247
J. D. P. Donnelly Bounds for the eigenvalues of
non-selfadjoint differential operators 249--261
P. J. Burville HEAPS: A concept in optimization . . . . 263--278
R. Hughes Jones and
G. J. Makinson The generation of Chisholm rational
polynomial approximants to power series
in two variables . . . . . . . . . . . . 299--310
P. R. Graves-Morris and
R. Hughes Jones and
G. J. Makinson The calculation of some rational
approximants in two variables . . . . . 311--320
J. D. Love Long wavelength acoustic scattering by a
torus of arbitrary aspect ratio . . . . 321--344
R. D. Riess and
L. W. Johnson On the determination of quadrature
formulae of highest degree of precision
for approximating Fourier coefficients 345--351
D. R. Atthey A finite difference scheme for melting
problems . . . . . . . . . . . . . . . . 353--366
G. Rowlands On the stability of solutions of the
non-linear Schrödinger equation . . . . . 367--377
A. M. Cohen and
D. E. Jones A note on the numerical solution of some
singular second order differential
equations . . . . . . . . . . . . . . . 379--384
E. Hansen and
P. Hougaard On a moving boundary problem from
biomechanics . . . . . . . . . . . . . . 385--398
A. M. Arthurs and
R. I. Reeves Maximum and minimum principles for a
class of partial differential equations 1--7
B. A. Hargrave and
B. D. Sleeman The numerical solution of two-parameter
eigenvalue problems in ordinary
differential equations with an
application to the problem of
diffraction by a plane angular sector 9--22
D. L. Clements and
C. Rogers On the application of a Bäcklund
transformation to linear isotropic
elasticity . . . . . . . . . . . . . . . 23--30
B. A. Hargrave and
B. D. Sleeman Uniform asymptotic expansions for
ellipsoidal wave functions. I. High
frequency solutions of the ellipsoidal
wave equations . . . . . . . . . . . . . 31--40
J. H. Powell Deficiencies in safety schemes which
rely on stochastically failing
protective equipment . . . . . . . . . . 41--56
A. D. Wood Eigenfunction expansions by the delta
function and contour integral method . . 57--67
N. Anderson and
A. M. Arthurs Upper and lower variational bounds for
the friction factor Reynolds number
product in laminar flow of a viscous
fluid . . . . . . . . . . . . . . . . . 69--74
G. F. Raggett and
P. D. Wilson A fully implicit finite difference
approximation to the one-dimensional
wave equation using a cubic spline
technique . . . . . . . . . . . . . . . 75--77
D. R. Westbrook A variational principle with
applications in finite elements . . . . 79--82
K. C. Hannabuss The irreducible components of
homogeneous functions and symmetric
tensors . . . . . . . . . . . . . . . . 83--88
J. G. Hayes and
J. Halliday The least-squares fitting of cubic
spline surfaces to general data sets . . 89--103
A. Belleni-Morante and
C. Vitocolonna Discretization of the time variable in
evolution equations . . . . . . . . . . 105--112
L. J. Walpole New extremum principles for linear
problems . . . . . . . . . . . . . . . . 113--118
B. D. Dore and
D. Porter The edge effect of a surface film on
gravity waves . . . . . . . . . . . . . 119--129
C. G. Broyden Error propagation in numerical processes 131--140
K. W. Brodlie Corrections to matrices expressed in
non-symmetric product form . . . . . . . 141--144
T. L. Freeman and
L. M. Delves and
J. K. Reid On the convergence rates of variational
methods. II. Systems of type B, C . . . 145--157
R. Fletcher and
M. P. Jackson Minimization of a quadratic function of
many variables subject only to lower and
upper bounds . . . . . . . . . . . . . . 159--174
R. Kumar Certain Gaussian quadratures . . . . . . 175--182
J. Nieminen Two bounds for the domination number of
a graph . . . . . . . . . . . . . . . . 183--187
B. A. Hargrave Uniform asymptotic expansions for
ellipsoidal wave functions. II:
Ellipsoidal wave functions . . . . . . . 189--196
S. J. Polak An increased accuracy scheme for
diffusion equations in cylindrical
coordinates . . . . . . . . . . . . . . 197--201
G. N. Bojad\vziev and
R. W. Lardner Asymptotic solution of a non-linear
second order hyperbolic differential
equation with large time delay . . . . . 203--210
P. Linz A simple approximation method for
solving Volterra integro-differential
equations of the first kind . . . . . . 211--215
D. J. Hopgood and
S. McKee Improved root-finding methods derived
from inverse interpolation . . . . . . . 217--228
M. F. Barnsley and
P. D. Robinson Dual variational principles and Padé-type
approximants . . . . . . . . . . . . . . 229--249
M. F. Barnsley and
P. D. Robinson Padé-approximant bounds and approximate
solutions for Kirkwood--Riseman integral
equations . . . . . . . . . . . . . . . 251--265
Iain S. Duff and
John K. Reid A Comparison of Sparsity Orderings for
Obtaining a Pivotal Sequence in Gaussian
Elimination . . . . . . . . . . . . . . 281--291
Thuy T. T. Bui and
G. Hunter The significant order of symmetric
tridiagonal matrices . . . . . . . . . . 293--301
M. E. A. El Tom Spline function approximations to the
solution of singular Volterra integral
equations of the second kind . . . . . . 303--309
T. L. Freeman and
L. M. Delves On the convergence rates of variational
methods. III. Unsymmetric systems . . . 311--323
N. G. Barton An inequality for the pointwise
estimation of solutions of second order
elliptic partial differential equations 325--333
J. Schinas Stability and conditional stability of
time-dependent difference equations in
Banach spaces . . . . . . . . . . . . . 335--346
J. N. Thomas and
A. H. England The stress boundary value problem for an
ideal fibre-reinforced rectangular plate
with a hole . . . . . . . . . . . . . . 347--374
P. J. Caudrey and
J. C. Eilbeck and
J. D. Gibbon Exact multisoliton solution of the
reduced Maxwell--Bloch equations of
non-linear optics . . . . . . . . . . . 375--386
D. H. Schultz Two test cases for the numerical
solution of harmonic mixed boundary
value problems . . . . . . . . . . . . . 1--8
L. C. W. Dixon Conjugate gradient algorithms: quadratic
termination without linear searches . . 9--18
J. N. Lyness and
D. Jespersen Moderate degree symmetric quadrature
rules for the triangle . . . . . . . . . 19--32
D. S. Jones The scattering of sound by a vortex
sheet . . . . . . . . . . . . . . . . . 33--57
G. Wilks On Rayleigh's problem in
magnetohydrodynamics . . . . . . . . . . 73--84
M. A. Wolfe A quasi-Newton method with memory for
unconstrained function minimization . . 85--94
M. G. Cox An Algorithm for Spline Interpolation 95--108
N. Laws The use of energy theorems to obtain
upper and lower bounds . . . . . . . . . 109--119
R. E. Barnhill and
J. R. Whiteman Error analysis of Galerkin methods for
Dirichlet problems containing boundary
singularities . . . . . . . . . . . . . 121--125
J. C. Murray A variational principle associated with
surface waves . . . . . . . . . . . . . 127--134
D. R. Stirzaker A perturbation method for the stochastic
recurrent epidemic . . . . . . . . . . . 135--160
R. C. Backhouse and
B. A. Carré Regular Algebra applied to path-finding
problems . . . . . . . . . . . . . . . . 161--186
A. G. Kartsatos and
J. R. Ward Boundedness and existence of periodic
solutions of quasi-linear systems . . . 187--194
M. Gaster and
J. B. Roberts Spectral analysis of randomly sampled
signals . . . . . . . . . . . . . . . . 195--216
Iain S. Duff and
John K. Reid On the Reduction of Sparse Matrices to
Condensed Forms by Similarity
Transformations . . . . . . . . . . . . 217--224
G. J. Foschini and
A. C. Salazar Data pulse design --- intersymbol
interference aspects . . . . . . . . . . 225--237
N. Papamichael and
G. D. Smith The determination of consistent
orderings for the SOR iterative method 239--248
K. I. Iordanidis Using crude eigenvalue bounds in the
numerical solution of the third boundary
value problem in $2$- and
$3$-dimensional space . . . . . . . . . 249--256
D. P. Mason Derivation of orthogonality relations in
plasma theory using singular integral
equations . . . . . . . . . . . . . . . 257--265
V. Zakian Application of $ {J}_{MN} $ approximants
to numerical initial-value problems in
linear differential-algebraic systems 267--272
A. Wragg and
C. Davies Computation of the Exponential of a
Matrix II: Practical Considerations . . 273--278
K. W. Brodlie and
M. J. D. Powell On the Convergence of Cyclic Jacobi
Methods . . . . . . . . . . . . . . . . 279--287
W. Chester The forced oscillations of a simple
pendulum . . . . . . . . . . . . . . . . 289--306
A. J. Guttmann Derivation of $ 1 / 2 $ mimic functions$
1 / 2 $ from regular perturbation
expansions in fluid mechanics . . . . . 307--317
R. Fletcher An ideal penalty function for
constrained optimization . . . . . . . . 319--342
Ioan Pop and
V. M. Soundalgekar On unsteady boundary layers in a
rotating flow . . . . . . . . . . . . . 343--349
A. Jennings and
W. J. Stewart Simultaneous iteration for partial
eigensolution of real matrices . . . . . 351--361
J. H. McCabe A formal extension of the Padé table to
include two point Padé quotients . . . . 363--372
T. Joslin and
S. McKee A mildly non-linear system of parabolic
differential equations arising from mass
transfer with chemical reaction in
electrochemistry . . . . . . . . . . . . 373--383
K. W. Brodlie A new direction set method for
unconstrained minimization without
evaluating derivatives . . . . . . . . . 385--396
R. M. Munt Acoustic radiation from a circular
cylinder in a subsonic stream . . . . . 1--10
B. L. Ehle and
J. D. Lawson Generalized Runge--Kutta processes for
stiff initial-value problems . . . . . . 11--21
H. H. Robertson and
J. Williams Some properties of algorithms for stiff
differential equations . . . . . . . . . 23--34
A. R. Curtis High-order explicit Runge--Kutta
formulae, their uses, and limitations 35--55
J. A. Murphy and
M. R. O'Donohoe Some properties of continued fractions
with applications in Markov processes 57--71
D. B. Ingham Plane sub-critical flow past a lifting
aerofoil . . . . . . . . . . . . . . . . 73--80
J. H. Powell Assessment of the maintenance of the
effectiveness of safety schemes by
inspection and age-replacement of
protective devices . . . . . . . . . . . 81--92
I. Gladwell and
D. J. Mullings On the effect of boundary conditions in
collocation by polynomial splines for
the solution of boundary value problems
in ordinary differential equations . . . 93--107
T. R. Robe and
S. E. Jones A numerical method for establishing
Liapunov stability of linear second
order non-autonomous dynamical systems 109--120
P. M. Dew and
R. E. Scraton Chebyshev methods for the numerical
solution of parabolic partial
differential equations in two and three
space variables . . . . . . . . . . . . 121--131
Z. Bohte Bounds for Rounding Errors in the
Gaussian Elimination For Band Systems 133--142
Sòren Christiansen Integral equations without a unique
solution can be made useful for solving
some plane harmonic problems . . . . . . 143--159
J. W. Daniel and
B. K. Swartz Extrapolated collocation for two-point
boundary-value problems using cubic
splines . . . . . . . . . . . . . . . . 161--174
S. N. Brown and
P. G. Williams Self-induced separation. III . . . . . . 175--191
H. M. Khalil and
J. H. Giese A two-parameter family of two-level
higher order difference methods for the
two-dimensional heat equation . . . . . 193--205
B. A. Lewis On the numerical solution of Fredholm
integral equations of the first kind . . 207--220
A. M. J. Davis Short surface waves due to a heaving
sphere in a hemispherical lake . . . . . 221--237
R. J. Y. McLeod and
A. R. Mitchell The use of parabolic arcs in matching
curved boundaries in the finite element
method . . . . . . . . . . . . . . . . . 239--246
J. Oliver Stable methods for evaluating the points
$ \cos (i \pi / n) $ . . . . . . . . . . 247--257
J. A. Shercliff A note on vorticity . . . . . . . . . . 259--262
J. A. Ford Weighted least-squares polynomial
deflation . . . . . . . . . . . . . . . 263--269
C. G. Broyden and
J. A. Ford A new method of polynomial deflation . . 271--281
S. E. El-Gendi On Chebyshev solution of parabolic
partial differential equations . . . . . 283--289
D. F. Roscoe New methods for the derivation of stable
difference representations for
differential equations . . . . . . . . . 291--301
R. W. Thatcher Singularities in the solution of
Laplace's equation in two dimensions . . 303--319
K. Madsen An algorithm for minimax solution of
overdetermined systems of non-linear
equations . . . . . . . . . . . . . . . 321--328
M. I. Yolles Least squares successive relaxation . . 329--343
T. L. Freeman and
L. M. Delves Round-off errors and stability in
variational calculations . . . . . . . . 345--353
D. J. Evans and
S. O. Fatunla Accurate numerical determination of the
intersection point of the solution of a
differential equation with a given
algebraic relation . . . . . . . . . . . 355--359
P. D. McCormack and
D. Fitzgerald The visco-elastic arterial flow model
and the ultrasound Doppler probe . . . . 361--370
K. Allami A numerical investigation of acoustic
diffraction by a circular aperture in a
rigid screen . . . . . . . . . . . . . . 371--380
L. Dalle Rive and
F. Pasciutti Runge--Kutta methods with global error
estimates . . . . . . . . . . . . . . . 381--386
J. C. Murray Addendum to: ``A variational principle
associated with surface waves'' (J.
Inst. Math. Appl. \bf 15 (1975),
127--134) . . . . . . . . . . . . . . . 387--388
M. G. Frost and
A. Sackfield Polynomials of the form $_2 F_0$ as
determinants . . . . . . . . . . . . . . 389--392
S. Eilon and
I. G. Chowdhury Conditions for optimal scheduling for
the three-machine problem . . . . . . . 1--4
L. Hayes and
E. Wasserstrom Solution of non-linear eigenvalue
problems by the continuation method . . 5--14
K. R. Butterfield The computation of all the derivatives
of a B-spline basis . . . . . . . . . . 15--25
B. Jones Extrapolation for higher orders of
convergence . . . . . . . . . . . . . . 27--36
P. W. Gaffney The calculation of indefinite integrals
of B-splines . . . . . . . . . . . . . . 37--41
D. A. Wilson and
J. E. Rubio A controllability problem for a system
governed by the heat equation . . . . . 43--51
G. R. McGuire and
J. Ll. Morris Restoring orders of accuracy for
multilevel schemes for non-linear
hyperbolic systems in many space
variables . . . . . . . . . . . . . . . 53--67
J. P. Coleman The Lanczos tau-method . . . . . . . . . 85--97
J. B. Moore A consistently rapid algorithm for
solving polynomial equations . . . . . . 99--110
H. Rasmussen Compressible flow calculations by
variational method using natural
boundary conditions . . . . . . . . . . 111--118
P. M. van den Berg Radiation from a point charge moving
through a circular aperture in a screen 119--133
D. V. Evans A note on the waves produced by the
small oscillations of a partially
vertical plate . . . . . . . . . . . . . 135--140
D. H. Griffel Age-dependent population growth . . . . 141--152
R. J. Atkin and
R. E. Craine Continuum theories of mixtures:
Applications . . . . . . . . . . . . . . 153--207
E. H. Twizell Some approximations of the
characteristics of second order
hyperbolic partial differential
equations . . . . . . . . . . . . . . . 209--218
M. Davies and
B. Dawson The incrementation parameter in square
root iteration . . . . . . . . . . . . . 219--223
D. Gelder The numerical calculation of viscous
stratified flows . . . . . . . . . . . . 225--231
J. H. McCabe and
J. A. Murphy Continued fractions which correspond to
power series expansions at two points 233--247
R. McLeod Node requirements for high-order
approximation over curved finite
elements . . . . . . . . . . . . . . . . 249--254
C. Papaconstantinou Iterative solution of the generalized
eigenvalue problem . . . . . . . . . . . 255--260
R. D. Riess A Gaussian approach to equally spaced
quadratures . . . . . . . . . . . . . . 261--265
Iain S. Duff and
John K. Reid A comparison of some methods for the
solution of sparse overdetermined
systems of linear equations . . . . . . 267--280
C. Prabhakara Rao and
Satteluri R. K. Iyengar High order numerical differentiation
type formulas with an off-step point for
stiff ordinary differential equations 281--293
M. E. A. El Tom Application of spline functions to
systems of Volterra integral equations
of the first and second kinds . . . . . 295--310
B. T. Browne and
P. J. Lawrenson Numerical solution of an elliptic
boundary-value problem in the complex
variable . . . . . . . . . . . . . . . . 311--327
R. S. Anderssen Stable procedures for the inversion of
Abel's equation . . . . . . . . . . . . 329--342
S. R. Majumdar and
M. E. O'Neill Vertical boundary effects on the
electrohydrostatic instability of a
fluid interface . . . . . . . . . . . . 343--354
E. Ghandour Two-timing and one-dimensional random
wave propagation . . . . . . . . . . . . 355--366
P. G. Daniels A numerical and asymptotic investigation
of boundary-layer wake evolution . . . . 367--386
E. Pitts The stability of a drop hanging from a
tube . . . . . . . . . . . . . . . . . . 387--397
D. Levin General order Padé-type rational
approximants defined from double power
series . . . . . . . . . . . . . . . . . 1--8
P. J. Harley and
A. R. Mitchell Exact control of a parabolic
differential equation using an implicit
Runge--Kutta method . . . . . . . . . . 9--14
H. C. Morris A perturbative approach to periodic
solutions of delay-differential
equations . . . . . . . . . . . . . . . 15--24
R. W. Lardner and
G. N. Bojadziev Non-linear differential equations with
damping and large time delay . . . . . . 25--35
L. F. Abd-Elal and
L. M. Delves A regularization technique for a class
of singular integral problems . . . . . 37--47
A. J. Rodrigues Properties of constants for a quadrature
formula to evaluate Bromwich's integral 49--56
T. Marsh and
M. Wadsworth An iterative method for the solution of
Fredholm integral equations of the
second kind . . . . . . . . . . . . . . 57--65
P. Lancaster Interpolation in a rectangle and finite
elements of high degree . . . . . . . . 67--77
R. A. Cicenia Numerical integration formulae involving
derivatives . . . . . . . . . . . . . . 79--85
F. Verhulst Matched asymptotic expansions in the
two-body problem with quick loss of mass 87--98
G. Wilks and
D. M. Sloan Invariant imbedding, Riccati
transformations and eigenvalue problems 99--116
D. M. Sloan and
G. Wilks Riccati transformations for eigenvalues
of systems of linear ordinary
differential equations with separated
boundary conditions . . . . . . . . . . 117--127
P. Smith A note on dual extremum principles in
magnetohydrodynamic pipe flow . . . . . 129--133
D. R. Stirzaker On models for an epidemic . . . . . . . 135--148
E. Zakraj\vsek On the generalized eigenvalue problem 155--157
I. S. Robinson Some common wave phenomena applied to an
M.H.D. anisotropic surface wave system 159--175
J. Y. Wang On the numerical computation of
eigenvalues and eigenfunctions of
compact integral operators using spline
functions . . . . . . . . . . . . . . . 177--188
J. D. Lambert and
I. A. Watson Symmetric multistep methods for periodic
initial value problems . . . . . . . . . 189--202
M. A. Wolfe Some methods for least squares
estimation . . . . . . . . . . . . . . . 219--236
W. L. Chan Variational dualities in the linear
regulator and estimation problems with
and without time delay . . . . . . . . . 237--247
H. H. Robertson Numerical integration of systems of
stiff ordinary differential equations
with special structure . . . . . . . . . 249--263
M. R. Troth Materials reinforced by almost
inextensible fibres . . . . . . . . . . 265--278
G. Walter and
D. Schultz Some eigenfunction methods for computing
a numerical Fourier transform . . . . . 279--293
D. J. Temperley and
L. Todd Some remarks on a class of plane, linear
boundary value problems . . . . . . . . 309--324
Oliver D. Anderson Some eigen theory results for moving
average time processes . . . . . . . . . 325--330
R. K. Littlewood and
V. Zakian Numerical evaluation of Fourier
integrals . . . . . . . . . . . . . . . 331--339
C. C. Paige Error analysis of the Lanczos algorithm
for tridiagonalizing a symmetric matrix 341--349
G. A. Watson A method for calculating best non-linear
Chebyshev approximations . . . . . . . . 351--360
N. N. Abdelmalek The discrete linear one-sided Chebyshev
approximation . . . . . . . . . . . . . 361--370
M. J. Fryer Some errors associated with the
non-parametric estimation of density
functions . . . . . . . . . . . . . . . 371--380
J. D. Griffiths and
C. Cresswell A mathematical model of a Pelican
crossing . . . . . . . . . . . . . . . . 381--394
E. G. Broadbent Acoustic ray theory applied to vortex
refraction . . . . . . . . . . . . . . . 1--27
R. J. Henery Solution of Fredholm equations with
symmetric difference kernels . . . . . . 29--37
I. Barrodale and
G. F. Stuart A new variant of Gaussian elimination 39--47
J. B. Shukla and
M. Isa Optimum externally pressurized
magnetohydrodynamic bearing . . . . . . 49--58
D. F. Griffiths A numerical study of a singular elliptic
boundary value problem . . . . . . . . . 59--69
P. Linz Stability and convergence of difference
schemes for some functional differential
equations . . . . . . . . . . . . . . . 71--76
A. M. Emamzadeh Numerical investigations into the Stokes
phenomenon. I . . . . . . . . . . . . . 77--86
Harold Jeffreys Probability theory in geophysics . . . . 87--96
P. S. White On the ultimate stress-deviator in
elastic-perfectly plastic solids . . . . 97--105
F. Valvi Explicit presentation of the inverses of
some types of matrices . . . . . . . . . 107--117
D. P. Laurie Optimal parameter choice in the $ \theta
$-method for parabolic equations . . . . 119--125
J. J. Kalker The surfaces displacement of an elastic
half-space loaded in a slender, bounded,
curved surface region with application
to the calculation of the contact
pressure under a roller . . . . . . . . 127--144
Frank Stenger Remarks on ``Integration formulae based
on the trapezoidal formula'' (J. Inst.
Math. Appl. \bf 12 (1973), 103--114) . . 145--147
A. M. Emamzadeh Numerical investigations into the Stokes
phenomenon. II . . . . . . . . . . . . . 149--157
T. Nonweiler Integrals and areas expressed as
bilinear forms of discrete defining data 159--168
D. M. Drew and
J. A. Murphy Branch points, $ {M} $ fractions and
rational approximants generated by
linear equations . . . . . . . . . . . . 169--185
A. M. Cohen A divergent technique for the
approximate solution of some
simultaneous linear equations by
iterative methods . . . . . . . . . . . 187--193
A. G. Newlands On the sensitivity of transient elastic
stresses in a solid to the form of
surface loading . . . . . . . . . . . . 195--203
C. R. Gane and
A. R. Gourlay Block hopscotch procedures for second
order parabolic differential equations 205--216
N. Datta and
R. N. Jana Hall effects on hydromagnetic flow and
heat transfer in a rotating channel . . 217--229
J. C. Nash Minimizing a non-linear sum of squares
function on a small computer . . . . . . 231--237
N. T. S. Evans and
A. R. Gourlay The solution of a two-dimensional
time-dependent diffusion problem
concerned with oxygen metabolism in
tissues . . . . . . . . . . . . . . . . 239--251
N. Mostaghel Stability regions of Hill's equation . . 253--259
A. D. Rawlins Diffraction by a dielectric wedge . . . 261--279
P. Hillion Remarks on rational approximations of
multiple power series . . . . . . . . . 281--293
Y. Adam A predictor-corrector method for the
numerical simulation of sea pollution 295--305
M. J. Long and
K. W. Morton The use of divided differences in finite
element calculations . . . . . . . . . . 307--323
J. R. Cash A class of iterative algorithms for the
integration of stiff systems of ordinary
differential equations . . . . . . . . . 325--335
W. M. Pickering Some comments on the solution of
Poisson's equation using Bickley's
formula and fast Fourier transforms . . 337--338
Iain S. Duff On permutations to block triangular form 339--342
W. Chester Continuous transformations and
differential equations . . . . . . . . . 343--376
W. M. Getz and
D. H. Jacobson Sufficiency conditions for finite escape
times in systems of quadratic
differential equations . . . . . . . . . 377--383
D. S. Watkins and
P. Lancaster Some families of finite elements . . . . 385--397
D. J. Evans Numerical solution of exterior problems
by the peripheral block over- relaxation
method . . . . . . . . . . . . . . . . . 399--405
A. S. Kydes and
R. P. Tewarson Householder modification for damped
least squares solutions . . . . . . . . 407--423
J. F. Ahner Scattering by an inhomogeneous medium 425--439
H. Wind The rounded cubic spline . . . . . . . . 441--445
E. Cupini A mixed stochastic-deterministic method
for systems of linear equations . . . . 447--454
J. R. Cash On a class of implicit Runge--Kutta
procedures . . . . . . . . . . . . . . . 455--470
R. Franke Locally determined smooth interpolation
at irregularly spaced points in several
variables . . . . . . . . . . . . . . . 471--482
A. M. Cohen and
D. E. Jones A technique for the solution of
eigenvalue problems . . . . . . . . . . 1--7
Phoolan Prasad and
Renuka Ravindran A theory of non-linear waves in
multi-dimensions: With special reference
to surface water waves . . . . . . . . . 9--20
A. J. Rodrigues An error analysis and convergence of a
quadrature formula to invert Laplace
transforms . . . . . . . . . . . . . . . 21--32
J. M. Aitchison The numerical solution of a minimization
problem associated with a free surface
flow . . . . . . . . . . . . . . . . . . 33--44
J. Steinberg Numerical solution of a singular
two-point boundary value problem . . . . 45--52
I. Tolstoy Remarks on the linearization of
differential equations . . . . . . . . . 53--60
A. Jennings Influence of the Eigenvalue Spectrum on
the Convergence Rate of the Conjugate
Gradient Method . . . . . . . . . . . . 61--72
P. S. Theocaris and
A. C. Chrysakis Numerical inversion of the Mellin
transform . . . . . . . . . . . . . . . 73--83
C. Atkinson and
C. J. Coleman On some steady-state moving boundary
problems in the linear theory of
viscoelasticity . . . . . . . . . . . . 85--106
R. J. Cole Complementary variational principles for
Knudsen flow rates . . . . . . . . . . . 107--115
B. H. Lavenda and
G. Peluso and
A. di Chiara Non-linear dissipative and dispersive
waves . . . . . . . . . . . . . . . . . 117--131
R. Wait Singular isoparametric finite elements 133--141
S. P. Banks On the solutions of Fredholm integral
equations of the first kind in $ L^2 $ 143--150
M. M. Cecchi and
A. Pica A basis set of functions for curved
elements in the finite element methods 151--162
L. M. Delves The numerical solution of sets of linear
equations arising from Ritz--Galerkin
methods . . . . . . . . . . . . . . . . 163--171
L. M. Delves A fast method for the solution of
Fredholm integral equations . . . . . . 173--182
D. C. Handscomb Vibration of a submerged window . . . . 183--189
A. Frey and
C. A. Hall and
J. C. Heinrich On an exact boundary technique . . . . . 191--198
J. J. Kalker Variational principles of contact
elastostatics . . . . . . . . . . . . . 199--219
A. E. Green and
J. Z. Mkrtichian Torsion and extension of a tube with
different moduli in tension and
compression . . . . . . . . . . . . . . 221--226
D. Kershaw A bound on the inverse of a band matrix
which occurs in interpolation by
periodic odd order splines . . . . . . . 227--228
V. A. Nye Unsteady magnetohydrodynamic flows . . . 229--243
B. J. Omodei Stability of the
Rayleigh--Ritz--Galerkin procedure for
linear elliptic boundary value problems 245--255
R. Purushothaman A note on unsteady boundary layers in a
rotating flow . . . . . . . . . . . . . 257--260
J. C. W. Rogers A free boundary problem as diffusion
with non-linear absorption . . . . . . . 261--268
A. B. Crowley and
J. R. Ockendon A Stefan problem with a non-monotone
boundary . . . . . . . . . . . . . . . . 269--281
B. M. N. Clarke Boundary controllability of linear
symmetric hyperbolic systems . . . . . . 283--298
R. E. Grundy Laplace transform inversion using
two-point rational approximants . . . . 299--306
A. Jennings and
G. M. Malik Partial elimination . . . . . . . . . . 307--316
G. H. Meyer An application of the method of lines to
multidimensional free boundary problems 317--329
R. A. Usmani An $ O(h^6) $ finite difference analogue
for the solution of some differential
equations occurring in plate deflection
theory . . . . . . . . . . . . . . . . . 331--333
M. J. Fryer A review of some non-parametric methods
of density estimation . . . . . . . . . 335--354
J. Crank and
R. M. Furzeland The treatment of boundary singularities
in axially symmetric problems containing
discs . . . . . . . . . . . . . . . . . 355--370
R. B. Vinter Stabilizability and semigroups with
discrete generators . . . . . . . . . . 371--378
J. Oliver An Error Analysis of the Modified
Clenshaw Method for Evaluating Chebyshev
and Fourier Series . . . . . . . . . . . 379--391
E. Ghandour Propagation of disturbances in a random
medium . . . . . . . . . . . . . . . . . 393--407
H. H. Robertson The Accuracy of Error Estimates for
Systems of Linear Algebraic Equations 409--414
H. Brunner and
M. D. Evans Piecewise polynomial collocation for
Volterra-type integral equations of the
second kind . . . . . . . . . . . . . . 415--423
J. R. Cash A note on the computational aspects of a
class of implicit Runge--Kutta
procedures . . . . . . . . . . . . . . . 425--441
L. S. Jennings and
M. R. Osborne Generalized eigenvalue problems for
rectangular matrices . . . . . . . . . . 443--458
D. B. Ingham Flow past an impulsively started
semi-infinite flat plate in the presence
of a magnetic field . . . . . . . . . . 459--469
L. Ju. Fradkin and
G. C. Wake The critical explosion parameter in the
theory of thermal ignition . . . . . . . 471--484
M. F. Barnsley and
P. D. Robinson Bivariational bounds for non-linear
problems . . . . . . . . . . . . . . . . 485--504
L. J. Hazlewood An alternative strategy for cautious
adaptive quadrature . . . . . . . . . . 505--518
J. W. Craggs and
P. W. Duck A power series method for treating mixed
boundary value problems . . . . . . . . 1--12
R. B. Vinter On the evolution of the state of linear
differential delay equations in $ M^2 $:
properties of the generator . . . . . . 13--23
M. Teymur and
E. Suhubi Wave propagation in dissipative or
dispersive non-linear media . . . . . . 25--40
Dj.S. Djukic On the motion of a dynamic system with
minimal dissipation . . . . . . . . . . 41--46
M. C. Biggs On the convergence of some constrained
minimization algorithms based on
recursive quadratic programming . . . . 67--81
M. M. Chawla A fourth-order tridiagonal finite
difference method for general non-
linear two-point boundary value problems
with mixed boundary conditions . . . . . 83--93
I. Herrera and
M. J. Sewell Dual extremum principles for
non-negative unsymmetric operators . . . 95--115
D. A. C. Nicol Bending and flexure of a reinforced tube 117--126
A. M. Ben Lashiher Converse theorems for final-stability 127--134
M. G. Cox The Numerical Evaluation of a Spline
From its B-Spline Representation . . . . 135--143
F. T. Smith Flow through symmetrically constricted
tubes . . . . . . . . . . . . . . . . . 145--156
O. A. Aboul-Atta and
E. Tomchuk Approximations to surd integrals of the
inverse Laplace transform type . . . . . 157--163
J. Nuttall and
C. J. Wherry Gaussian integration for complex weight
functions . . . . . . . . . . . . . . . 165--170
R. S. Pathak Summability of the Laguerre polynomial
expansion of generalized functions . . . 171--180
S. Krenk Numerical quadrature of periodic
singular integral equations . . . . . . 181--187
H. Ohiwa A new algorithm for non-linear
simultaneous equations . . . . . . . . . 189--196
D. S. Jones Acoustics of a splitter plate . . . . . 197--209
P. W. Gaffney The Range of Possible Values of $ f(x) $ 211--226
A. E. Green and
D. Nicol A note on reinforced cylindrical tubes 227--235
C. A. Hall and
J. Heinrich A finite element that satisfies natural
boundary conditions exactly . . . . . . 237--250
K. Visnak and
M. Kubicek A class of numerical methods of high
order for stiff problems in ordinary
differential equations . . . . . . . . . 251--264
R. Cade A perturbation method for solving torus
problems in electrostatics . . . . . . . 265--284
E. Spedicato A note on the determination of the
scaling parameters in a class of
quasi-Newton methods for unconstrained
minimization . . . . . . . . . . . . . . 285--291
T. M. Atanackovic Optimal control of dynamically
controllable motions: an example . . . . 293--299
J. R. Cash A note on a class of modified backward
differentiation schemes . . . . . . . . 301--313
P. Moore Finite element multistep multiderivative
schemes for parabolic equations . . . . 331--344
R. D. Riess and
L. W. Johnson Closed-form representations for errors
of cubic spline approximations on
equally spaced knots . . . . . . . . . . 345--351
I. Cahit and
R. Cahit Transformations on spanning trees . . . 353--358
R. A. Sack Comments on some quadrature formulas by
F. Stenger . . . . . . . . . . . . . . . 359--361
P. J. Prince and
K. Wright Runge--Kutta processes with exact
principal error equations . . . . . . . 363--373
P. R. Graves-Morris Padé approximants for linear integral
equations? . . . . . . . . . . . . . . . 375--378
M. Bain On the uniform convergence of
generalized Fourier series . . . . . . . 379--386
J. Heading Calculation of transmission coefficients
for generalized propagation problems . . 387--400
P. M. Dew A note on the numerical solution of
quasi-linear parabolic partial
differential equations with error
estimates . . . . . . . . . . . . . . . 401--417
R. McLeod High order transformation methods for
curved finite elements . . . . . . . . . 419--428
A. G. Constantine and
J. C. Gower Some properties and applications of
simple orthogonal matrices . . . . . . . 445--454
G. I. Stassinopoulos and
R. B. Vinter Conditions for convergence of solutions
in the computation of optimal controls 1--14
S. Christiansen and
P. Hougaard An investigation of a pair of integral
equations for the biharmonic problem . . 15--27
E. K. Blum and
A. F. Chang A numerical method for the solution of
the double eigenvalue problem . . . . . 29--42
J. Gunson and
P. H. Ng Approximation of special functions of
complex variables . . . . . . . . . . . 43--52
J. Maroulas and
S. Barnett Some new results on the qualitative
theory of generalized polynomials . . . 53--70
D. Summers Fluid models of the solar wind . . . . . 71--87
M. M. Chawla A fourth-order tridiagonal finite
difference method for general two-point
boundary value problems with non-linear
boundary conditions . . . . . . . . . . 89--97
S. Krenk Quadrature formulae of closed type for
solution of singular integral equations 99--107
C. W. Clenshaw and
B. Negus The cubic $X$-spline and its application
to interpolation . . . . . . . . . . . . 109--119
J. R. Turner A convergence proof for constrained
finite element solutions . . . . . . . . 121--127
J. P. McClure and
R. Wong Explicit error terms for asymptotic
expansions of Stieltjes transforms . . . 129--145
R. E. Grundy The solution of Volterra integral
equations of the convolution type using
two-point rational approximants . . . . 147--158
R. Smarzewski and
H. Malinowski Numerical solutions of a class of Abel
integral equations . . . . . . . . . . . 159--170
D. Levin and
N. Papamichael and
A. Sideridis The Bergman kernel method for the
numerical conformal mapping of simply
connected domains . . . . . . . . . . . 171--187
D. B. Ingham Flow past a suddenly cooled vertical
plate . . . . . . . . . . . . . . . . . 189--196
D. L. Clements and
F. J. Rizzo A method for the numerical solution of
boundary value problems governed by
second-order elliptic systems . . . . . 197--202
M. M. Chawla High-accuracy tridiagonal finite
difference approximations for nonlinear
two-point boundary value problems . . . 203--209
W. E. Williams Note on a singular integral equation . . 211--214
N. M. Temme Uniform asymptotic expansions of
confluent hypergeometric functions . . . 215--223
M. Bain and
L. M. Delves and
K. O. Mead On the rate of convergence of
multi-dimensional orthogonal expansions 225--234
D. Greenspan and
J. Collier Computer studies of swirling particle
fluids and the evolution of
planetary-type bodies . . . . . . . . . 235--253
E. Mavrommatis Evaluation of some integrals encountered
in calculations in many-fermion systems 255--260
M. S. Longuet-Higgins Some new relations between Stokes's
coefficients in the theory of gravity
waves . . . . . . . . . . . . . . . . . 261--273
J. K. Cavers On the fast Fourier transform inversion
of probability generating functions . . 275--282
A. J. Rodrigues On the accuracy of quadrature Laplace
transform inversion and the solution of
state space equations . . . . . . . . . 283--296
J. C. Cooke Note on the principle of stationary
phase . . . . . . . . . . . . . . . . . 297--303
D. Knibb and
R. E. Scraton A collocation method for the numerical
solution of non-linear parabolic partial
differential equations . . . . . . . . . 305--315
R. E. Grundy On the solution of non-linear Volterra
integral equations using two-point
rational approximants . . . . . . . . . 317--320
S. R. K. Iyengar and
R. C. Mittal High accuracy difference schemes for the
cylindrical heat conduction equation . . 321--330
A. I. G. Vardulakis and
P. N. R. Stoyle Generalized resultant theorem . . . . . 331--335
D. J. Jeffrey The temperature field or electric
potential around two almost touching
spheres. With an appendix by M. Van Dyke 337--351
Hiroshi Niki and
Hideo Sawami and
Tetsuya Ondoh A note on a practical technique for
solving elliptic equations . . . . . . . 353--359
A. C. Fowler Linear and non-linear stability of heat
exchangers . . . . . . . . . . . . . . . 361--382
A. C. Fowler Linear and nonlinear stability of heat
exchangers . . . . . . . . . . . . . . . 361--382
W. Chester A general theory of resonance between
weakly coupled oscillatory systems . . . 383--399
A. Jennings and
J. Halliday and
M. J. Cole Solution of linear generalized
eigenvalue problems containing singular
matrices . . . . . . . . . . . . . . . . 401--410
J. C. Murray Curvilinear coordinate systems suitable
for the numerical solution of
boundary-value problems . . . . . . . . 411--421
D. V. Evans The oscillating water column wave-energy
device . . . . . . . . . . . . . . . . . 423--433
C. F. Lam and
J. Pedersen Solving large sets of differential
equations describing queueing systems
with the aid of a dynamic allocation
algorithm . . . . . . . . . . . . . . . 435--441
R. W. Thatcher Controlling the error in the numerical
solution of elliptic equations . . . . . 443--455
Peter Smith Approximate operators and dual extremum
principles for linear problems . . . . . 457--465
J. V. Miller and
K. W. Morton and
M. J. Baines A finite element moving boundary
computation with an adaptive mesh . . . 467--477
B. Cahlon The numerical solution of a variational
problem in automatic control . . . . . . 479--495
J. Spanier A new family of estimators for random
walk problems . . . . . . . . . . . . . 1--31
J. Maroulas and
S. Barnett Further results on the qualitative
theory of generalized polynomials . . . 33--42
S. C. R. Dennis and
J. D. Hudson Accurate representations of partial
differential equations by
finite-difference schemes . . . . . . . 43--51
I. P. Schagen Interpolation in two dimensions---a new
technique . . . . . . . . . . . . . . . 53--59
W. J. Whiten Multiple linear curve fitting . . . . . 61--71
N. Papamichael and
A. Sideridis The use of conformal transformations for
the numerical solution of elliptic
boundary value problems with boundary
singularities . . . . . . . . . . . . . 73--88
T. J. Weare Damping in ``un-damped'' finite
difference representations . . . . . . . 86--96
A. Talbot The accurate numerical inversion of
Laplace transforms . . . . . . . . . . . 97--120
J. G. B. Byatt-Smith The equivalence of Bernoulli's equation
and a set of integral relations for
periodic waves . . . . . . . . . . . . . 121--130
M. C. Bartholomew-Biggs A matrix modification method for
calculating approximate solutions to
systems of linear equations . . . . . . 131--137
L. M. Delves and
L. F. Abd-Elal and
J. A. Hendry A fast Galerkin algorithm for singular
integral equations . . . . . . . . . . . 139--166
G. A. Watson The minimax solution of an
overdetermined system of non-linear
equations . . . . . . . . . . . . . . . 167--180
P. Durbin Asymptotic expansion of Laplace
transforms about the origin using
generalized functions . . . . . . . . . 181--192
D. A. Quinney On computing travelling wave solutions
in a model for the
Belousov--Zhabotinskii reaction . . . . 193--201
G. W. Stewart The Effects of Rounding Error on an
Algorithm for Downdating a Cholesky
Factorization . . . . . . . . . . . . . 203--213
L. W. Johnson and
R. D. Riess Gauss harmonic interpolation formulas
for circular regions . . . . . . . . . . 215--222
L. M. Delves and
C. A. Hall An implicit matching principle for
global element calculations . . . . . . 223--234
Iain S. Duff and
John K. Reid and
Neils Munskgaard and
Hans B. Nielsen Direct Solution of Sets of Linear
Equations Whose Matrix is Sparse,
Symmetric and Indefinite . . . . . . . . 235--250
P. Keast Some fully symmetric quadrature formulae
for product spaces . . . . . . . . . . . 251--264
N. Curle Analysis of certain slowly converging
series . . . . . . . . . . . . . . . . . 265--275
J. T. Edwards and
D. C. Licciardello and
D. J. Thouless Use of the Lanczos method for finding
complete sets of eigenvalues of large
sparse symmetric matrices . . . . . . . 277--283
M. E. Lord The method of nonlinear variation of
constants for difference equations . . . 285--290
L. F. Abd-Elal An asymptotic expansion for a
regularization technique for numerical
singular integrals and its application
to Volterra integral equations . . . . . 291--309
D. S. Jones and
G. G. Swinerd A note on the intersection of dispersion
curves of a fluid-loaded elastic plate 311--319
O. Axelsson and
I. Gustafsson A modified upwind scheme for convective
transport equations and the use of a
conjugate gradient method for the
solution of non-symmetric systems of
equations . . . . . . . . . . . . . . . 321--337
A. R. Curtis The implementation of implicit
Runge--Kutta formulae for the solution
of initial-value problems . . . . . . . 339--353
G. H. Behforooz and
N. Papamichael End conditions for cubic spline
interpolation . . . . . . . . . . . . . 355--366
S. S. Panwalkar and
A. W. Khan An ordered flow shop sequencing problem
with TWK type due dates and total
tardiness criterion . . . . . . . . . . 367--372
S. McKee The analysis of a variable step,
variable coefficient linear multistep
method for solving a singular
integro-differential equation arising
from the diffusion of discrete particles
in a turbulent fluid . . . . . . . . . . 373--388
F. A. Musa and
L. M. Delves On weakly asymptotically diagonal
systems . . . . . . . . . . . . . . . . 389--403
H. H. Robertson Copolymer composition in $n$-monomer
systems . . . . . . . . . . . . . . . . 405--411
L. F. Shampine Efficiency of phase function methods for
Sturm--Liouville eigenvalues . . . . . . 413--420
D. S. Jones Low frequency electromagnetic radiation 421--447
J. N. Holt and
R. Fletcher An algorithm for constrained non-linear
least-squares . . . . . . . . . . . . . 449--463
J. E. Lavery A posteriori error bounds for linear
elliptic equations of potential type . . 465--472
C. A. Micchelli Optimal estimation of smooth functions
from inaccurate data . . . . . . . . . . 473--495
C. P. Huang The implementation of a Jacobi-type
method . . . . . . . . . . . . . . . . . 497--501
A. Fasano and
M. Primicerio Liquid flow in partially saturated
porous media . . . . . . . . . . . . . . 503--517
E. K. Blum and
A. F. Chang Corrigendum to: ``A numerical method for
the solution of the double eigenvalue
problem'' . . . . . . . . . . . . . . . ??
W. L. Price A weighted simplex procedure for the
solution of simultaneous non-linear
equations . . . . . . . . . . . . . . . 1--8
P. J. Budden and
J. Norbury A nonlinear elliptic eigenvalue problem 9--33
P. J. Budden and
J. Norbury A non-linear elliptic eigenvalue problem 9--33
M. M. Chawla A sixth-order tridiagonal finite
difference method for general non-linear
two-point boundary value problems . . . 35--42
A. B. Crowley On the weak solution of moving boundary
problems . . . . . . . . . . . . . . . . 43--57
R. B. Marimont and
M. B. Shapiro Nearest neighbour searches and the curse
of dimensionality . . . . . . . . . . . 59--70
W. P. Kotorynski Slowly varying channel flows in three
dimensions . . . . . . . . . . . . . . . 71--80
D. L. Clements and
G. W. King A method for the numerical solution of
problems governed by elliptic systems in
the cut plane . . . . . . . . . . . . . 81--93
R. Askey Positivity of the Cotes numbers for some
Jacobi abscissas. II . . . . . . . . . . 95--98
D. J. Fyfe and
K. H. Oke Use of residuals in Forsythe's method
for polynomial curve fitting . . . . . . 99--108
J. Pitkäranta On the differential properties of
solutions to Fredholm equations with
weakly singular kernels . . . . . . . . 109--119
G. Fairweather On the approximate solution of a
diffusion problem by Galerkin methods 121--137
J. P. McClure and
R. Wong Exact remainders for asymptotic
expansions of fractional integrals . . . 139--147
L. M. Delves and
I. Barrodale A fast direct method for the least
squares solution of slightly
overdetermined sets of linear equations 149--156
E. Babolian and
L. M. Delves An augmented Galerkin method for first
kind Fredholm equations . . . . . . . . 157--174
J. J. Telega On variational formulations for
nonlinear, nonpotential operators . . . 175--195
E. Cohen A general class of optimal polynomials
related to electric filters . . . . . . 197--208
A. L. Andrew Iterative computation of derivatives of
eigenvalues and eigenvectors . . . . . . 209--218
A. N. Godwin Spline curves with length constraints 219--229
P. R. Nelson A prediction interval search scheme for
the move-to-the-front replacement
algorithm . . . . . . . . . . . . . . . 231--236
N. J. Salamon and
G. G. Walter Limits of Lipschitz-Hankel integrals . . 237--254
J. D. Love A note on the capacitance of two closely
separated spheres . . . . . . . . . . . 255--257
L. Rubinstein The Stefan problem: comments on its
present state . . . . . . . . . . . . . 259--277
C. J. Hegedus and
G. Kadar and
E. Della Torre Demagnetization matrices for cylindrical
bodies . . . . . . . . . . . . . . . . . 279--291
J. R. Cash Diagonally implicit Runge--Kutta
formulae with error estimates . . . . . 293--301
R. Shail Some potential problems for slender tori 303--325
A. Sidi Some properties of a generalization of
the Richardson extrapolation process . . 327--346
R. A. Cicenia Remainders in numerical integration
formulae involving derivatives . . . . . 347--352
Doina Cioranescu and
Jeannine Saint Jean Paulin and
Hél\`ene Lanchon Elastic-plastic torsion of heterogeneous
cylindrical bars . . . . . . . . . . . . 353--378
A. Young and
E. A. Kiountouzis Best approximation in an asymmetrically
weighted $ L_1 $ measure . . . . . . . . 379--394
M. A. Johnson Bounds for an optimization problem with
a linear programming structure . . . . . 395--410
P. Forsyth, Jr. and
H. Rasmussen Solution of time dependent
electrochemical machining problems by a
co- ordinate transformation . . . . . . 411--424
J. D. P. Donnelly A model for nonequilibrium thermodynamic
processes involving phase changes . . . 425--438
J. R. Turner The frictional unloading problem on a
linear elastic half-space . . . . . . . 439--469
B. D. Turland and
R. S. Peckover The stability of planar melting fronts
in two-phase thermal Stefan problems . . 1--15
A. J. Rodrigues Convergence of Padé kernel approximants
to the delayed Dirac function . . . . . 17--27
D. E. Salane and
R. P. Tewarson A unified derivation of symmetric
quasi-Newton update formulas . . . . . . 29--36
K. H. Chew and
P. N. Shivakumar and
J. J. Williams Error bounds for the truncation of
infinite linear differential systems . . 37--51
G. H. Behforooz and
N. Papamichael and
A. J. Worsey A class of piecewise-cubic interpolatory
polynomials . . . . . . . . . . . . . . 53--65
I. Herrera Variational principles for problems with
linear constraints: prescribed jumps and
continuation type restrictions . . . . . 67--96
J. Baumeister and
K.-H. Hoffmann and
P. Jochum Numerical solution of a parabolic free
boundary problem via Newton's method . . 99--109
C. W. Cryer A proof of the convexity of the free
boundary for porous flow through a
rectangular dam using the maximum
principle . . . . . . . . . . . . . . . 111--120
C. M. Elliott On a variational inequality formulation
of an electrochemical machining moving
boundary problem and its approximation
by the finite element method . . . . . . 121--131
J. R. Turner and
D. A. C. Nicol The Signorini problem for a Cosserat
plate . . . . . . . . . . . . . . . . . 133--145
D. Westreich Numerical solution of the eigenvalue
problem for discontinuous linear
ordinary differential equations . . . . 147--160
G. I. Stassinopoulos Continuous dependence of constrained
solutions of linear differential
inclusions . . . . . . . . . . . . . . . 161--175
L. M. Delves and
C. Phillips A fast implementation of the global
element method . . . . . . . . . . . . . 177--197
S. N. Curle An unsteady boundary layer problem---a
critical test of extended series
expansions . . . . . . . . . . . . . . . 199--209
R. Cade The integral equation solution of
two-dimensional electrostatic problems
involving circular cylinders . . . . . . 211--230
J. Chandra and
P. W. Davis On the relation between monotone methods
and temporal evolution in fully
nonlinear boundary value problems . . . 231--240
Victor Namias The fractional order Fourier transform
and its application to quantum mechanics 241--265
P. R. Graves-Morris Practical, reliable, rational
interpolation . . . . . . . . . . . . . 267--286
J. Pollock and
A. J. Pritchard The infinite time quadratic cost control
problem for distributed systems with
unbounded control action . . . . . . . . 287--309
J. Heading Properties of some generalized
hypergeometric functions governing
coupling at transition points . . . . . 311--324
Ganti Prasada Rao and
T. Srinivasan An optimal method of solving
differential equations characterizing
the dynamics of a current collection
system for an electric locomotive . . . 329--342
B. Schachter Generation of random textures . . . . . 343--347
Y. F. Chang and
G. Corliss Ratio-like and recurrence relation tests
for convergence of series . . . . . . . 349--359
G. T. Herman and
A. Lent and
H. Hurwitz A storage-efficient algorithm for
finding the regularized solution of a
large, inconsistent system of equations 361--366
M. Shinbrot Water waves over periodic bottoms in
three dimensions . . . . . . . . . . . . 367--385
J. Pollock and
A. J. Pritchard The tracking problem for distributed
systems with unbounded control action 387--396
J. C. Murray Curvilinear coordinate systems
associated with a class of boundary
value problems . . . . . . . . . . . . . 397--411
M. H. Williams The inversion of singular integral
equations by expansion in Jacobi
polynomials . . . . . . . . . . . . . . 413--426
A. Sidi Extrapolation methods for oscillatory
infinite integrals . . . . . . . . . . . 1--20
R. L. Moss and
T. G. Rogers and
A. J. M. Spencer Axially symmetric deformations of
fibre-reinforced cylinders . . . . . . . 21--38
R. Estrada and
R. P. Kanwal Applications of distributional
derivatives to wave propagation . . . . 39--63
D. Levin Corrected collocation approximations for
the harmonic Dirichlet problem . . . . . 65--75
J. Crank and
T. Ozis Numerical solution of a free boundary
problem by interchanging dependent and
independent variables . . . . . . . . . 77--85
J. R. Cash and
C. B. Liem On the design of a variable order,
variable step diagonally implicit
Runge--Kutta algorithm . . . . . . . . . 87--91
I. P. Schagen Stochastic interpolating
functions---applications in optimization 93--101
P. G. Daniels The effect of sidewalls on overstable
convection in a rotating fluid . . . . . 103--118
Wolfgang Hackbusch The fast numerical solution of very
large elliptic difference schemes . . . 119--132
D. S. Jones The Kontorovich--Lebedev transform . . . 133--141
E. E. Rosinger Stability and convergence for nonlinear
difference schemes are equivalent . . . 143--149
B. L. Burrows A new approach to numerical integration 151--173
David Westreich and
Baruch Cahlon Numerical solutions of Volterra integral
equations with continuous or
discontinuous terms . . . . . . . . . . 175--186
Victor Namias Fractionalization of Hankel transforms 187--197
W. Chester A general theory of resonance between
weakly coupled oscillatory systems. II.
Nonconservative systems . . . . . . . . 199--207
G. R. Gavalas and
Y. C. Yortsos Short-time asymptotic solutions of the
heat conduction equation with spatially
varying coefficients . . . . . . . . . . 209--219
J. F. Scott An existence proof for a problem in
singular parabolic partial differential
equations . . . . . . . . . . . . . . . 221--234
C. Atkinson and
H. Javaherian Evaluation of stress intensity factors
associated with bimaterial cracks . . . 235--258
R. C. Duggan On dual extremum principles and the
hypercircle for a class of partial
differential equations . . . . . . . . . 259--267
Börje Nilsson and
Olle Brander The propagation of sound in cylindrical
ducts with mean flow and bulk-reacting
lining. I. Modes in an infinite duct . . 269--298
Carl Panek and
J. J. Kalker Three-dimensional contact of a rigid
roller traversing a viscoelastic half
space . . . . . . . . . . . . . . . . . 299--313
Harold Exton A basic analogue of Hermite's equation 315--320
A. Chakrabarti and
W. E. Williams A note on a singular integral equation 321--323
Antonio Fasano and
Mario Primicerio and
L. Rubinstein A model problem for heat conduction with
a free boundary in a concentrated
capacity . . . . . . . . . . . . . . . . 327--347
J. Steinberg Numerical treatment of singularities in
elliptic problems . . . . . . . . . . . 349--368
S. C. R. Dennis and
J. D. Hudson Further accurate representations of
partial differential equations by
finite-difference methods . . . . . . . 369--379
Börje Nilsson and
Olle Brander The propagation of sound in cylindrical
ducts with mean flow and bulk-reacting
lining. II. Bifurcated ducts . . . . . . 381--410
R. M. Furzeland A comparative study of numerical methods
for moving boundary problems . . . . . . 411--429
B. Noble and
S. Beighton Error estimates for three methods of
evaluating Cauchy principal value
integrals . . . . . . . . . . . . . . . 431--446
S. Kumar A note on quadrature formulae for Cauchy
principal value integrals . . . . . . . 447--451