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

An International Conference on Analytical and Numerical Approaches to Asymptotic Problems was held in the Faculty of Science, University of Nijmegen, The Netherlands from June 9th through June 13th, 1980. Content: Edited by 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