Robust Numerical Methods for Singularly Perturbed Differential Equations
Roos, Hans-Gorg; Stynes, Martin; Tobiska, Lutz
ISBN 10: 3540344667 ISBN 13: 9783540344667
Editorial: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, 2008
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Descripción:
This new edition incorporates new developments in numerical methods for singularly perturbed differential equations, focusing on linear convection-diffusion equations and on nonlinear flow problems that appear in computational fluid dynamics. Series: Springer Series in Computational Mathematics. Num Pages: 618 pages, 41 black & white illustrations, 6 black & white tables, biography. BIC Classification: PBKJ. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 239 x 169 x 36. Weight in Grams: 1034. . 2007. 2nd ed. 2008. Hardback. . . . . Books ship from the US and Ireland. N° de ref. del artículo V9783540344667
Sinopsis:
The analysis of singular perturbed di?erential equations began early in the twentieth century, when approximate solutions were constructed from asy- totic expansions. (Preliminary attempts appear in the nineteenth century - see[vD94].)Thistechniquehas?ourishedsincethemid-1960sanditsprincipal ideas and methods are described in several textbooks; nevertheless, asy- totic expansions may be impossible to construct or may fail to simplify the given problem and then numerical approximations are often the only option. Thesystematicstudyofnumericalmethodsforsingularperturbationpr- lems started somewhat later - in the 1970s. From this time onwards the - search frontier has steadily expanded, but the exposition of new developments in the analysis of these numerical methods has not received its due attention. The ?rst textbook that concentrated on this analysis was [DMS80], which collected various results for ordinary di?erential equations. But after 1980 no further textbook appeared until 1996, when three books were published: Miller et al. [MOS96], which specializes in upwind ?nite di?erence methods on Shishkin meshes, Morton’s book [Mor96], which is a general introduction to numerical methods for convection-di?usion problems with an emphasis on the cell-vertex ?nite volume method, and [RST96], the ?rst edition of the present book. Nevertheless many methods and techniques that are important today, especially for partial di?erential equations, were developed after 1996.
De la contraportada:
This considerably extended and completely revised second edition incorporates many new developments in the thriving field of numerical methods for singularly perturbed differential equations. It provides a thorough foundation for the numerical analysis and solution of these problems, which model many physical phenomena whose solutions exhibit layers. The book focuses on linear convection-diffusion equations and on nonlinear flow problems that appear in computational fluid dynamics. It offers a comprehensive overview of suitable numerical methods while emphasizing those with realistic error estimates. The book should be useful for scientists requiring effective numerical methods for singularly perturbed differential equations.
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Detalles bibliográficos
Título: Robust Numerical Methods for Singularly ...
Editorial: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Año de publicación: 2008
Encuadernación: Encuadernación de tapa dura
Condición: New
Edición: 2ª Edición
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2nd ed. XIV, 604 p. Hardcover. 2nd ed. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Springer Series in Computational Mathematics, Vol. 24. Sprache: Englisch. Nº de ref. del artículo: 1954FB
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Gebunden. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Beginning with ordinary differential equations, then moving on to parabolic and elliptic problems and culminating with the Navier-Stokes equations, the reader is led through the theoretical and practical aspects of the most important methods used to compute. Nº de ref. del artículo: 4888110
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Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This considerably extended and completely revised second edition incorporates many new developments in the thriving field of numerical methods for singularly perturbed differential equations. It provides a thorough foundation for the numerical analysis and solution of these problems, which model many physical phenomena whose solutions exhibit layers. The book focuses on linear convection-diffusion equations and on nonlinear flow problems that appear in computational fluid dynamics. It offers a comprehensive overview of suitable numerical methods while emphasizing those with realistic error estimates. The book should be useful for scientists requiring effective numerical methods for singularly perturbed differential equations. Nº de ref. del artículo: 9783540344667
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Robust Numerical Methods for Singularly Perturbed Differential Equations
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Springer Berlin Heidelberg, Springer Berlin Heidelberg Sep 2008, 2008
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Buch. Condición: Neu. Neuware -The analysis of singular perturbed di erential equations began early in the twentieth century, when approximate solutions were constructed from asy- totic expansions. (Preliminary attempts appear in the nineteenth century ¿ see[vD94].)Thistechniquehas ourishedsincethemid-1960sanditsprincipal ideas and methods are described in several textbooks; nevertheless, asy- totic expansions may be impossible to construct or may fail to simplify the given problem and then numerical approximations are often the only option. Thesystematicstudyofnumericalmethodsforsingularperturbationpr- lems started somewhat later ¿ in the 1970s. From this time onwards the - search frontier has steadily expanded, but the exposition of new developments in the analysis of these numerical methods has not received its due attention. The rst textbook that concentrated on this analysis was [DMS80], which collected various results for ordinary di erential equations. But after 1980 no further textbook appeared until 1996, when three books were published: Miller et al. [MOS96], which specializes in upwind nite di erence methods on Shishkin meshes, Morton¿s book [Mor96], which is a general introduction to numerical methods for convection-di usion problems with an emphasis on the cell-vertex nite volume method, and [RST96], the rst edition of the present book. Nevertheless many methods and techniques that are important today, especially for partial di erential equations, were developed after 1996.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 620 pp. Englisch. Nº de ref. del artículo: 9783540344667
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Robust Numerical Methods for Singularly Perturbed Differential Equations
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Springer Berlin Heidelberg Sep 2008, 2008
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Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This considerably extended and completely revised second edition incorporates many new developments in the thriving field of numerical methods for singularly perturbed differential equations. It provides a thorough foundation for the numerical analysis and solution of these problems, which model many physical phenomena whose solutions exhibit layers. The book focuses on linear convection-diffusion equations and on nonlinear flow problems that appear in computational fluid dynamics. It offers a comprehensive overview of suitable numerical methods while emphasizing those with realistic error estimates. The book should be useful for scientists requiring effective numerical methods for singularly perturbed differential equations. 620 pp. Englisch. Nº de ref. del artículo: 9783540344667
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Robust Numerical Methods for Singularly Perturbed Differential Equations (Hardcover)
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Hardcover. Condición: new. Hardcover. The analysis of singular perturbed di?erential equations began early in the twentieth century, when approximate solutions were constructed from asy- totic expansions. (Preliminary attempts appear in the nineteenth century - see[vD94].)Thistechniquehas?ourishedsincethemid-1960sanditsprinci pal ideas and methods are described in several textbooks; nevertheless, asy- totic expansions may be impossible to construct or may fail to simplify the given problem and then numerical approximations are often the only option. Thesystematicstudyofnumericalmethodsforsingularperturbationpr- lems started somewhat later - in the 1970s. From this time onwards the - search frontier has steadily expanded, but the exposition of new developments in the analysis of these numerical methods has not received its due attention. The ?rst textbook that concentrated on this analysis was [DMS80], which collected various results for ordinary di?erential equations. But after 1980 no further textbook appeared until 1996, when three books were published: Miller et al. [MOS96], which specializes in upwind ?nite di?erence methods on Shishkin meshes, Morton's book [Mor96], which is a general introduction to numerical methods for convection-di?usion problems with an emphasis on the cell-vertex ?nite volume method, and [RST96], the ?rst edition of the present book. Nevertheless many methods and techniques that are important today, especially for partial di?erential equations, were developed after 1996. This new edition incorporates new developments in numerical methods for singularly perturbed differential equations, focusing on linear convection-diffusion equations and on nonlinear flow problems that appear in computational fluid dynamics. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Nº de ref. del artículo: 9783540344667
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