Name: Implicit-Explicit Methods for Evolutionary Partial Differential Equations (en Inglés)
SKU: 67197934
Price: 127.32 USD
Availability: InStock
Author: Sebastiano Boscarino;Lorenzo Pareschi;Giovanni Russo

portada Implicit-Explicit Methods for Evolutionary Partial Differential Equations (en Inglés)

Implicit-Explicit Methods for Evolutionary Partial Differential Equations (en Inglés)

Formato

Libro Físico

Editorial

SIAM - Society for Industrial and Applied Mathematics

Autor

Sebastiano Boscarino;Lorenzo Pareschi;Giovanni Russo

Colección

Mathematical Modeling and Computation

Año

2025

Idioma

Inglés

N° páginas

324

Encuadernación

Tapa Blanda

ISBN13

9781611978193

Implicit-Explicit Methods for Evolutionary Partial Differential Equations (en Inglés)

Sebastiano Boscarino;Lorenzo Pareschi;Giovanni Russo (Autor) · SIAM - Society for Industrial and Applied Mathematics · Tapa Blanda

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Reseña del libro "Implicit-Explicit Methods for Evolutionary Partial Differential Equations (en Inglés)"

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.