Articoli correlati a Iterative Splitting Methods for Differential Equations
Sinossi
Iterative Splitting Methods for Differential Equations explains how to solve evolution equations via novel iterative-based splitting methods that efficiently use computational and memory resources. It focuses on systems of parabolic and hyperbolic equations, including convection-diffusion-reaction equations, heat equations, and wave equations.
In the theoretical part of the book, the author discusses the main theorems and results of the stability and consistency analysis for ordinary differential equations. He then presents extensions of the iterative splitting methods to partial differential equations and spatial- and time-dependent differential equations.
The practical part of the text applies the methods to benchmark and real-life problems, such as waste disposal, elastics wave propagation, and complex flow phenomena. The book also examines the benefits of equation decomposition. It concludes with a discussion on several useful software packages, including r3t and FIDOS.
Covering a wide range of theoretical and practical issues in multiphysics and multiscale problems, this book explores the benefits of using iterative splitting schemes to solve physical problems. It illustrates how iterative operator splitting methods are excellent decomposition methods for obtaining higher-order accuracy.
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Informazioni sull?autore
Juergen Geiser is a researcher in the Department of Mathematics at the Humboldt-University of Berlin. His research interests include numerical and computational analysis, partial differential equations, decomposition and discretization methods for hyperbolic and parabolic equations, optimization, scientific computing, and interface analysis.
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Iterative Splitting Methods for Differential Equations (Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series)
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Chapman and Hall/CRC, 2011
ISBN 10: 1439869820
ISBN 13: 9781439869826
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Condizione: Good. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. Codice articolo Z1-N-002-00690
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Iterative Splitting Methods for Differential Equations (Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series)
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Chapman and Hall/CRC 2011-06-29, 2011
ISBN 10: 1439869820
ISBN 13: 9781439869826
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Juergen Geiser is a researcher in the Department of Mathematics at the Humboldt-University of Berlin. His research interests include numerical and computational analysis, partial differential equations, decomposition and discretization m. Codice articolo 595835536
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Iterative Splitting Methods for Differential Equations
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ISBN 13: 9781439869826
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Buch. Condizione: Neu. Neuware - This book explains how to solve differential equations using novel splitting methods based on iterative schemes. It covers differential equations of parabolic and hyperbolic equation systems occurring in multiphysics and multiscale problems. The author analyzes the convergence of iterative splitting methods with respect to the bounded and unbounded operators. Practical results are presented in the test examples and real-life problems, with a focus on the computational benefit in fluid dynamics, heat transfer, and electromagnetics. A CD-ROM includes MATLABA(R) and other software code. Codice articolo 9781439869826
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