Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations

Name: Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations
SKU: 2108049
Price: 535.00 NZD
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Springer Series in Computational Mathematics

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Description

This book describes numerical methods for partial differential equations (PDEs) coupling advection, diffusion and reaction terms, encompassing methods for hyperbolic, parabolic and stiff and nonstiff ordinary differential equations (ODEs). The emphasis lies on time-dependent transport-chemistry problems, describing e.g. the evolution of concentrations in environmental and biological applications. Along with the common topics of stability and convergence, much attention is paid on how to prevent spurious, negative concentrations and oscillations, both in space and time. Many of the theoretical aspects are illustrated by numerical experiments on models from biology, chemistry and physics. A unified approach is followed by emphasizing the method of lines or semi-discretization. In this regard this book differs substantially from more specialized textbooks which deal exclusively with either PDEs or ODEs. This book treats integration methods suitable for both classes of problems and thus is of interest to PDE researchers unfamiliar with advanced numerical ODE methods, as well as to ODE researchers unaware of the vast amount of interesting results on numerical PDEs.

Release date NZ

July 21st, 2003

Author

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational
Undergraduate

Illustrations

X, 472 p.

Pages

472

Series

Springer Series in Computational Mathematics

Dimensions

156x234x26

ISBN-13

9783540034407

Product ID

2108049

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