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

Livre 7 sur 33: Springer Computational Mathematics

Hundsdorfer, Willem ; Verwer, Jan G.

9783642057076: Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations

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ISBN 10 : 3642057071 ISBN 13 : 9783642057076

Editeur : Springer, 2010

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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 is on time-dependent transport-chemistry problems. 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. 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.

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�diteur: Springer
Date d'�dition: 2010
Langue: anglais
ISBN 10: 3642057071
ISBN 13: 9783642057076
Reliure: Broch�
Nombre de pages: 484
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Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations (Springer Series in Computational Mathematics, 33)

Hundsdorfer, Willem

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ISBN 10 : 3642057071 ISBN 13 : 9783642057076

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Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations (eng)

Hundsdorfer, Willem

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Numerical Solution of Time-Dependent Advection-Dif

Hundsdorfer, Willem; Verwer, Jan G.

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Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations (Springer Series in Computational Mathematics)

Hundsdorfer, Willem; Verwer, Jan G.

Edit� par Springer, 2010

ISBN 10 : 3642057071 ISBN 13 : 9783642057076

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

Willem Hundsdorfer|Jan G. Verwer

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

Jan G. Verwer

Edit� par Springer Berlin Heidelberg, Springer Berlin Heidelberg Dez 2010, 2010

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 substantially from more specialized textbooks that deal exclusively with nu merical methods for either PDEs or ODEs. We treat integration methods suitable for both classes of problems. This combined treatment offers a clear advantage. On the one hand, in the field of numerical ODEs highly valuable methods and results exist which are of practical use for solving time-dependent PDEs, something which is often not fully exploited by numerical PDE researchers. Although many problems can be solved by Euler's method or the Crank-Nicolson method, better alter natives are often available which can significantly reduce the computational effort needed to solve practical problems. 484 pp. Englisch. N� de r�f. du vendeur 9783642057076

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

Willem Hundsdorfer (u. a.)

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

Willem Hundsdorfer

Edit� par Springer, Springer Spektrum Dez 2010, 2010

ISBN 10 : 3642057071 ISBN 13 : 9783642057076

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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -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 is on time-dependent transport-chemistry problems. 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. 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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 484 pp. Englisch. N� de r�f. du vendeur 9783642057076

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

Willem Hundsdorfer

Edit� par Springer Spektrum, 2010

ISBN 10 : 3642057071 ISBN 13 : 9783642057076

Neuf Taschenbuch

Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 substantially from more specialized textbooks that deal exclusively with nu merical methods for either PDEs or ODEs. We treat integration methods suitable for both classes of problems. This combined treatment offers a clear advantage. On the one hand, in the field of numerical ODEs highly valuable methods and results exist which are of practical use for solving time-dependent PDEs, something which is often not fully exploited by numerical PDE researchers. Although many problems can be solved by Euler's method or the Crank-Nicolson method, better alter natives are often available which can significantly reduce the computational effort needed to solve practical problems. N� de r�f. du vendeur 9783642057076

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