Last update: Thu Apr 11 09:52:27 MDT 2024
Volume 1, Number ??, 1965M. 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