Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations (Hardcover, 1st ed. 2003. Corr. 2nd printing 2007)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Springer Series in Computational Mathematics, 33
Release date:	April 2007
First published:	April 2007
Authors:	Willem Hundsdorfer • Jan G. Verwer
Dimensions:	235 x 155 x 26mm (L x W x T)
Format:	Hardcover
Pages:	472
Edition:	1st ed. 2003. Corr. 2nd printing 2007
ISBN-13:	978-3-540-03440-7
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers
LSN:	3-540-03440-4
Barcode:	9783540034407

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