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Asymptotic Analysis and the Numerical Solution of Partial Differential Equations de Hans G. Kaper

Asymptotic Analysis and the Numerical Solution of Partial Differential Equations: Lecture Notes in Pure and Applied Mathematics

Autor Hans G. Kaper, Marc Garbey
en Limba Engleză Paperback – 25 feb 1991
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
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Specificații

ISBN-13: 9780824785383
ISBN-10: 082478538X
Pagini: 286
Ilustrații: Illustrations
Dimensiuni: 178 x 254 x 13 mm
Greutate: 0.51 kg
Ediția:New.
Editura: CRC Press
Colecția CRC Press
Seria Lecture Notes in Pure and Applied Mathematics

Public țintă

Professional

Cuprins

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

Notă biografică

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

Descriere

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