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Více informací o knize Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations

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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations
• Autor: W. Hundsdorfer, J. G. Verwer
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 472
• EAN: 9783540034407
• ISBN: 3540034404
• ID: 01556459
• Nakladatelství: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Hmotnost: 1880 g
• Rozměry: 235 × 155 × 31 mm
• Datum vydání: 21. July 2003

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