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Additive operator-difference schemes : splitting schemes / / by Petr N. Vabishchevich



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Autore: Vabishchevich P. N (Petr Nikolaevich) Visualizza persona
Titolo: Additive operator-difference schemes : splitting schemes / / by Petr N. Vabishchevich Visualizza cluster
Pubblicazione: Berlin ; ; Boston : , : Walter de Gruyter GmbH & Co. KG, , [2014]
©2014
Descrizione fisica: 1 online resource (370 p.)
Disciplina: 515/.724
Soggetto topico: Initial value problems
Boundary value problems
Differential operators
Mathematical models
Soggetto non controllato: Iterative Methods
Operator Splitting
Regularized Additive Schemes
Summarized Approximation
Transition Operator Approximations
Two-Component Splitting
Vector Additive Schemes
Classificazione: SK 920
Note generali: Description based upon print version of record.
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: Front matter -- Preface -- Contents -- Notation -- 1. Introduction -- 2. Stability of operator-difference schemes -- 3. Operator splitting -- 4. Additive schemes of two-component splitting -- 5. Schemes of summarized approximation -- 6. Regularized additive schemes -- 7. Schemes based on approximations of a transition operator -- 8. Vector additive schemes -- 9. Iterative methods -- 10. Splitting of the operator at the time derivative -- 11 Equations with pairwise adjoint operators -- Bibliography -- Index
Sommario/riassunto: 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.
Titolo autorizzato: Additive operator-difference schemes  Visualizza cluster
ISBN: 3-11-032146-7
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910816360703321
Lo trovi qui: Univ. Federico II
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