Overview

Integrates two fields generally held to be incompatible, if not downright antithetical, in 16 lectures from a February 1990 workshop at the Argonne National Laboratory, Illinois. The topics, of interest to industrial and applied mathematicians, analysts, and computer scientists, include singular per

Full Product Details

Author:   Hans G. Kaper ,  Marc Garbey ,  H. Kaper ,  M. Garbey
Publisher:   Taylor & Francis Inc
Imprint:   CRC Press Inc
Volume:   130
Dimensions:   Width: 17.80cm , Height: 1.30cm , Length: 25.40cm
Weight:   0.506kg
ISBN:  

9780824785383

ISBN 10:   082478538
Pages:   286
Publication Date:   25 February 1991
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Preface; Part I: Singular Perturbation Methods. Singular Perturbations, Asymptotic Evaluation of Integrals, and Computational Challenges; Capture and the Connection Formulas for the Transition across a Separatrix Part II: Asymptotic-Induced Domain Decomposition. Domain Decomposition: An Instrument of Asymptotic-Numerical Methods; An Asymptotically Induced Domain Decomposition Method for Parabolic Boundary Layer Problems; Asymptotic-Induced Numerical Methods for Conservation Laws Part III: Perturbation Methods and Their Use in Numerical Computations. Asymptotic Analysis of Dissipative Waves with Applications to Their Numerical Simulation; A Hybrid Perturbation-Galerkin Technique for Partial Differential Equations; Part IV: Asymptotic Analysis in Physics. On the Equations of Physical Oceanography ; Transonics and Asymptotics; Evolution to Detonation in a Nonuniformly Heated Reactive Medium; Surface Evolution Equations from Detonation Theory; An Asymptotic Analysis of the Quantum Liouville Equation; Lattice Boltzmann Methods for Some 2-D Nonlinear Diffusion Equations: Computational Results Part V: Asymptotic Behavior of Nonlinear Partial Differential Equations. Blow-up of Solutions of Nonlinear Heat and Wave Equations; Convergence to Steady State of Solutions of Viscous Conservation Laws Part VI: Toward the Automation of Asymptotic Analysis. Symbolic Manipulation Software and the Study of Differential Equations

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Author Information

Hans G. Kaper, Argonne National Laboratory, Illinois. Marc Garbey, Universite Claude Bernard, Lyon, France.

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