Analytical and numerical approaches to asymptotic problems in analysis: proceedings of the Conference on Analytical and Numerical approaches to Asymptotic Problems, University of Nijmegen, the Netherlands, June 9-13, 1980

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Page iii

Copyright page
Page iv

Preface
Page v
O. Axelsson, L.S. Frank, A. van der Sluis

Acknowledgements
Pages vii-viii

Contributors
Page ix

Opening Address
Pages xiii-xvi
L.S. Frank

Finite Gap Almost Periodic Solutions in Asymptotical Expansions Original Research Article
Pages 1-25
S.Yu. Dobrokhotov, V.P. Maslov

Periodic Solutions Near Equilibrium Points of Hamiltonian Systems Original Research Article
Pages 27-33
Hans Duistermaat

Asymptotics of Elementary Spherical Functions Original Research Article
Pages 35-43
Hans Duistermaat

On the Question of the Existence and Nature of Homogeneous-Center Target Patterns in the Belousov-Zhabotinskii Reagent Original Research Article
Pages 45-56
Paul C. Fife

Singular Perturbations of Hyperbolic Type Original Research Article
Pages 57-71
E.M. de Jager, R. Geel

Computation by Extrapolation of Solutions of Singular Perturbation Problems Original Research Article
Pages 73-85
F.C. Hoppensteadt, W.L. Miranker

Proper Approximation of a Normed Space and Singular Perturbations Original Research Article
Pages 87-98
Denise Huet

An Analysis of some Finite Element Methods for Advection-Diffusion Problems Original Research Article
Pages 99-116
Claes Johnson, Uno Nävert

Short Time Asymptotic Behavior for Parabolic Equations Original Research Article
Pages 117-132
Yakar Kannai

Difference Approximation for a Singular Perturbation Problem with Turning Points Original Research Article
Pages 133-139
R. Bruce Kellogg

Stability and Consistency Analysis of Difference Methods for Singular Perturbation Problems Original Research Article
Pages 141-156
Jens Lorenz

Finite Element Galerkin Methods for Convection-Diffusion and Reaction-Diffusion Original Research Article
Pages 157-177
A.R. Mitchell, D.F. Griffiths, A. Meiring

Numerical Solution of Singular Perturbation Problems and Hyperbolic Systems of Conservation Laws Original Research Article
Pages 179-204
Stanley Osher

Nonstationary Filtration in Partially Saturated Media Original Research Article
Pages 205-212
M. Bertsch, L.A. Peletier

A-Posteriori Error Estimates and Adaptive Finite Element Computations for Singularly Perturbed one Space Dimensional Parabolic Equations Original Research Article
Pages 213-233
Hans-Jürgen Reinhardt

Diffraction of Waves by Cones and Polyhedra Original Research Article
Pages 235-248
Michael E. Taylor

Some Asymptotic Problems in Mechanics Original Research Article
Pages 249-264
R. Temam

Asymptotic Amplitude and Phase for Isochronic Families of Periodic Solutions Original Research Article
Pages 265-271
B. Aulbach

Quasioptimal Finite Element Approximations of first Order Hyperbolic and of Convection-Dominated Convection-Diffusion Equations Original Research Article
Pages 273-280
O. Axelsson, I. Gustafsson

Homogeneization of the Equation of Stationnary Diffusion in Cylindrical Domains Original Research Article
Pages 281-288
Caillerie Denis

Singular Perturbations of an Elliptic Operator with Discontinuous Nonlinearity Original Research Article
Pages 289-303
L.S. Frank, E.W. van Groesen

Coercive Singular Perturbations: Asymptotics and reduction to regularly perturbed boundary value problems Original Research Article
Pages 305-318
L.S. Frank, W.D. Wendt

Efficient Two-Step Numerical Methods for Parabolic Differential Equations Original Research Article
Pages 319-326
Arieh Iserles

Estimating the Discretization Error in three Point Difference Schemes for Second Order Linear Singularly Perturbed BVP Original Research Article
Pages 327-337
R.M.M. Mattheij

Failure of Nerve Impulse Propagation for Nonuniform Nerve Axons Original Research Article
Pages 339-344
J.P. Pauwelussen

The Penalty Method for the Vibrating String with an Obstacle Original Research Article
Pages 345-357
Michelle Schatzman

On the Asymptotic Behavior of the Solution of a Nonlinear Volterra Integral Equation Original Research Article
Pages 359-368
K. Soni, R.P. Soni

Conservative Upwind Finite Element Approximation and Its Applications Original Research Article
Pages 369-381
Masahisa Tabata