Del i serien Lecture Notes in Pure and Applied Mathematics

Asymptotic Analysis and the Numerical Solution of Partial Differential Equations

Inbunden, Engelska, 2017

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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

Produktinformation

Utgivningsdatum2017-07-27
Mått178 x 254 x 20 mm
Vikt690 g
FormatInbunden
SpråkEngelska
SerieLecture Notes in Pure and Applied Mathematics
Antal sidor286
FörlagTaylor & Francis Ltd
ISBN9781138441736

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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