Numerical Solutions of Time-Dependent Advection-Diffusion-Reaction Equations - Couverture rigide
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Synopsis
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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Numerical Solutions of Time-Dependent Advection-Diffusion-Reaction Equations
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ISBN 10 : 3540034404
ISBN 13 : 9783540034407
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Etat : Good. Good; Hardcover; Covers are shelfworn and edgeworn; Unblemished textblock edges; First endpaper is clipped at the top right edge-corner, otherwise the endpapers and all text pages are clean and unmarked; The binding is excellent with a straight spine; This book will be shipped in a sturdy cardboard box with foam padding; Medium Format (8.5" - 9.75" tall); 1.7 lbs; 2003, Springer-Verlag Publishing; 500 pages; "Numerical Solutions of Time-Dependent Advection-Diffusion-Reaction Equations," by Jan G. Verwer & Willem Hundsdorfer. N° de réf. du vendeur SKU-1442AA00704193
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Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations
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Numerical Solution of Time-Dependent Advextion-Diffusion-Reaction Equations.
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Hardcover. Etat : sehr gut. Hardcover gr. 8°. x, 471 pages, with many figures, some small marks of use, rc Springer Series in Computational Mathematics 33. in englischer Sprache. N° de réf. du vendeur N6-0051
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Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations
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Springer Berlin Heidelberg, 2003
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ISBN 13 : 9783540034407
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Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations
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Springer Berlin Heidelberg, Springer Berlin Heidelberg Jul 2003, 2003
ISBN 10 : 3540034404
ISBN 13 : 9783540034407
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Buch. 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 réf. du vendeur 9783540034407
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Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations
Edité par
Springer, 2003
ISBN 10 : 3540034404
ISBN 13 : 9783540034407
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Couverture rigide
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Etat : Sehr gut. Zustand: Sehr gut | Seiten: 484 | Sprache: Englisch | Produktart: Bücher | 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 réf. du vendeur 1210350/2
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Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations
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Springer, Springer Spektrum Jul 2003, 2003
ISBN 10 : 3540034404
ISBN 13 : 9783540034407
Neuf
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Buch. 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 réf. du vendeur 9783540034407
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Numerical Solution of Time-Dependent Advection-Diffusion-Reaction Equations
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Buch. 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 réf. du vendeur 9783540034407
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