Additive Operator-Difference Schemes

Splitting Schemes

Petr N. Vabishchevich (Autor)

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XVI, 354 Seiten | Ausstattung: Hardcover & eBook

2013
De Gruyter
9783110321470 (ISBN)

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Applied mathematical modeling is concerned with solving unsteady problems. Splitting schemes are attributed to the transition from a complex problem to a chain of simpler problems. This book shows how to construct additive difference schemes (splitting schemes) to solve approximately unsteady multi-dimensional problems for PDEs. Two classes of schemes are highlighted: methods of splitting with respect to spatial variables (alternating direction methods) and schemes of splitting into physical processes. Also regionally additive schemes (domain decomposition methods) and unconditionally stable additive schemes of multi-component splitting are considered for evolutionary equations of first and second order as well as for systems of equations. The book is written for specialists in computational mathematics and mathematical modeling. All topics are presented in a clear and accessible manner.

Petr N. Vabishchevich, Russian Academy of Sciences,Moscow, Russia.

Zusatzinfo	Includes a print version and an ebook
Verlagsort	Berlin/Boston
Sprache	englisch
Maße	170 x 240 mm
Themenwelt	Mathematik / Informatik ► Mathematik
Schlagworte	Additive Operator-Differential Schemata • iterative methods • Operator Splitting • Operator Splitting; Two-Component Splitting; Summarized Approximation; Regularized Additive Schemes; Transition Operator Approximations; Vector Additive Schemes; Iterative Methods • Regularized Additive Schemes • Summarized Approximation • Transition Operator Approximations • Two-Component Splitting • Vector Additive Schemes
ISBN-13	9783110321470 / 9783110321470
Zustand	Neuware