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Record Nr. |
UNINA9910816360703321 |
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Autore |
Vabishchevich P. N (Petr Nikolaevich) |
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Titolo |
Additive operator-difference schemes : splitting schemes / / by Petr N. Vabishchevich |
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Pubbl/distr/stampa |
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Berlin ; ; Boston : , : Walter de Gruyter GmbH & Co. KG, , [2014] |
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©2014 |
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ISBN |
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Descrizione fisica |
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1 online resource (370 p.) |
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Classificazione |
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Disciplina |
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Soggetti |
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Initial value problems |
Boundary value problems |
Differential operators |
Mathematical models |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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 |
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Sommario/riassunto |
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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. |
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