Implicit-explicit methods for evolutionary partial differential equations / S. Boscarino, University of Catania, Catania, Italy, L. Pareschi, University of Ferrara, Ferrara, Italy, G. Russo, University of Catania, Catania, Italy

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Boscarino, Sebastiano [VerfasserIn]

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Resource type: Ressourcentyp: Buch (Online)Buch (Online)Sprache: Englisch Reihen: Mathematical modeling and computation ; MM24Verlag: Philadelphia, Pennsylvania : Society for Industrial and Applied Mathematics, [2025]Beschreibung: 1 Online-Ressource (x, 323 pages)ISBN:

9781611978209

Schlagwörter: Andere physische Formen: 9781611978193 | Erscheint auch als: 9781611978193 Druck-AusgabeDDC-Klassifikation:

515/.353 23

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Zusammenfassung: Implicit-explicit (IMEX) time discretization methods have proven to be highly effective for the numerical solution of a wide class of evolutionary partial differential equations (PDEs) across various contexts. These methods have become mainstream for solving evolutionary PDEs, particularly in the fields of hyperbolic and kinetic equations. The first book on the subject, Implicit-Explicit Methods for Evolutionary Partial Differential Equations provides an in-depth yet accessible approach. The authors summarize and illustrate the construction, analysis, and application of IMEX methods using examples, test cases, and implementation details; guide readers through the various methods and teach them how to select and use the one most appropriate for their needs; and demonstrate how to identify stiff terms and effectively implement high-order methods in time for a variety of systems of PDEs. Readers interested in learning modern techniques for the effective numerical solution of evolutionary PDEs with multiple time scales will find in this book a unified, compact, and accessible treatment.PPN: PPN: 1924032309Package identifier: Produktsigel: ZDB-72-SIA

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