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

This book deals with numerical methods for solving partial differential equa tions (PDEs) coupling advection, diffusion and r... Mehr erfahren

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This book deals with numerical methods for solving partial differential equa tions (PDEs) coupling advection, diffusion and reaction terms, with a focus on time-dependency. A combined treatment is presented of methods for hy perbolic problems, thereby emphasizing the one-way wave equation, meth ods for parabolic problems and methods for stiff and non-stiff ordinary dif ferential equations (ODEs). With regard to time-dependency we have at tempted to present the algorithms and the discussion of their properties for the three different types of differential equations in a unified way by using semi-discretizations, i. e. , the method of lines, whereby the PDE is trans formed into an ODE by a suitable spatial discretization. In addition, for hy perbolic problems we also discuss discretizations that use information based on characteristics. Due to this combination of methods, this book differs.

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Lieferzeit:2-4 Werktage
Marke:Springer