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Record Nr. |
UNINA9910141014603321 |
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Autore |
Ganzha V. G (Victor Grigorʹevich), <1956-> |
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Titolo |
Computer-aided analysis of difference schemes for partial differential equations [[electronic resource] /] / Victor G. Ganzha, E.V. Vorozhtsov |
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Pubbl/distr/stampa |
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New York, : John Wiley & Sons, Inc., c1996 |
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ISBN |
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1-282-24272-5 |
9786613813848 |
1-118-03260-8 |
1-118-03085-0 |
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Descrizione fisica |
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1 online resource (476 p.) |
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Altri autori (Persone) |
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VorozhtsovE. V <1946-> (Evgenii Vasilʹevich) |
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Disciplina |
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Soggetti |
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Differential equations, Partial - Numerical solutions - Data processing |
Finite differences - Data processing |
Electronic books. |
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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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"A Wiley-Interscience publication." |
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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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Computer-Aided Analysis of Difference Schemes for Partial Differential Equations; Contents; Preface; 1 The Necessary Basics from the Stability Theory of Difference Schemes and Polynomials; 1.1 Preliminary Discussion of Stability and Approximation; 1.2 Computer Algebra Systems; 1.3 A Brief Review of the Contents of Chapters; 1.4 Stability, Approximation, and Convergence; 1.5 A Survey of Methods for the Stability Analysis of Difference Schemes; 1.5.1 Von Neumann Stability Analysis; 1.5.2 Differential Approximation Method; 1.5.3 Method of Frozen Coefficients |
1.6 Algebraic Criteria for Localization of Polynomial Zeros1.6.1 Similarity and Dimensional Considerations; 1.6.2 Liénard-Chipart Criterion; 1.6.3 Generalized Routh-Hurwitz Problem for the Characteristic Polynomial; 1.7 Determination of the Maximal Time Step from Stability Analysis Results; 1.7.1 The Use of the Least Squares Method; 1.7.2 A Method Based on the Requirement of a Constant Volume of a Cell of a Spatial Computing Mesh; 1.7.3 The Use of the Tables of the Coordinates of Points of Stability Region Boundaries; 1.8 |
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