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Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters : NATO Science Series C - Hans G. Kaper

Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters

NATO Science Series C

By: Hans G. Kaper (Editor), Marc Garbey (Editor), Gail W. Pieper (Editor)

Hardcover

Published: 30th November 1992
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This volume provides a record of the workshop on asymptotic-induced numerical methods for partial differential equations, critical parameters and domain decomposition, held at Beaune, France.
Discussing new computational methods, recent algorithm developments, and state-of-the-art techniques in mathematical modeling, Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters explores important topics in theory and application, including:

  • modeling of complex fluid dynamics systems;
  • asymptotic-induced domain decomposition methods;
  • analysis of strongly nonlinear problems;
  • tools available for modern numerical analysis; and
  • symbolic manipulation tools for multiscale problems.
Asymptotic and Numerical Methods for Partial Differential Equations with Critical Parameters presents a panoramic view of areas where asymptotic analysis, numerical analysis, and scientific computing are beginning to be integrated effectively. With articles ranging from mathematical models and applications to state-of-the-art algorithms and computational methods, the book is an invaluable text for mathematicians, engineers, and computer scientists who wish to become involved in this challenging new area of research.

Preface
Contributors
Modeling of Complex Systems with Asymptotic-enhanced Numerical Methodsp. 1
Asymptotics and Numerics for Laminar Flow over a Finite Flat Platep. 3
Time-Scale Decoupling for Nearly Periodic Advection-Diffusion Equationsp. 21
Turbulence Modeling from an Asymptotic Point of Viewp. 41
Some Applications of Combined Asymptotics and Numerics in Fluid Mechanics and Aerodynamicsp. 53
Asymptotic-Assisted Numerics for Spectral Perturbation in MHD Instabilityp. 81
Asymptotic-induced Domain Decomposition Methodsp. 91
Domain Decomposition as a Mechanism for Using Asymptotic Methodsp. 93
Domain Decomposition: A Blowup Problem and the Ginzburg-Landau Equationsp. 107
Factorization of the Advection-Diffusion Operator and Domain Decomposition Methodp. 123
Multiple-Scale Problems in Scientific Computingp. 135
Modulated Traveling Waves in Combustionp. 137
Asymptotics and Multiscale Simulation in a Numerical Combustion Laboratoryp. 163
Applied and Asymptotic Analysisp. 189
Viscoelastic Fluid Flow: Critical Parameters and Asymptoticsp. 191
Exponentially Small Splitting of Homoclinic Orbits in a Water-Wave Problemp. 207
Supersensitive Boundary Value Problemsp. 215
Asymptotics of the Thual-Fauve Pulsep. 225
Exponential Convergence of the Galerkin Approximation of the Ginzburg-Landau Equationp. 241
Symbolic Manipulation Tools for Asymptotic Analysisp. 253
General Asymptotic Scales and Computer Algebrap. 255
Numerical Methods, Algorithms, and Architecturesp. 267
Domain Decomposition by the Mortar Element Methodp. 269
Multilevel Projection Methods for Partial Differential Equationsp. 287
A Parallel Adaptive Multigrid Algorithm for the Incompressible Navier-Stokes Equationsp. 293
Numerical Approximation of a 2-D Singular-Perturbation Problem Using an Asymptotic Expansion and a Finite Element Methodp. 311
Internal Boundary Conditions and the Feedback Loop for Nested Two-Way Communication Schemesp. 321
Subdomain Predictor-Corrector Algorithms for Solving the Incompressible Navier-Stokes Equationp. 335
Parallel BLAS and BLACS for Numerical Algorithms on a Reconfigurable Networkp. 349
Indexp. 367
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792320616
ISBN-10: 0792320611
Series: NATO Science Series C
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 372
Published: 30th November 1992
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.5 x 15.5  x 2.54
Weight (kg): 0.7