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portada Implicit-Explicit Methods for Evolutionary Partial Differential Equations
Type
Physical Book
Publisher
Author
Collection
Mathematical Modeling and Computation
Year
2025
Language
English
Pages
324
Format
Paperback
ISBN13
9781611978193

Implicit-Explicit Methods for Evolutionary Partial Differential Equations

Sebastiano Boscarino;Lorenzo Pareschi;Giovanni Russo (Author) · SIAM - Society for Industrial and Applied Mathematics · Paperback

Implicit-Explicit Methods for Evolutionary Partial Differential Equations - Sebastiano Boscarino;Lorenzo Pareschi;Giovanni Russo

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Synopsis "Implicit-Explicit Methods for Evolutionary Partial Differential Equations"

IMEX methods are powerful tools for solving evolutionary PDEs, including hyperbolic and kinetic equations. This treatment explains the construction, analysis, and application of these methods with examples and test cases, guiding readers to select high-order schemes for stiff, multi-scale systems.

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.

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