Implicit-Explicit Methods for Evolutionary Partial Differential Equations (Paperback)
Language: English
Published by Society for Industrial & Applied Mathematics,U.S., New York, 2025
- Softcover
- New
Seller: Grand Eagle Retail, Bensenville, IL, U.S.A.Grand Eagle Retail
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Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…
Seller Inventory # 9781611978193
- Title
- Implicit-Explicit Methods for Evolutionary Partial Differential Equations (Paperback)
- Author
- Sebastiano Boscarino
- Publisher
- Society for Industrial & Applied Mathematics,U.S., New York
- Publication year
- 2025
- Condition
- new
- Binding
- Paperback
- Language
- English
- ISBN 10
- 161197819X
- ISBN 13
- 9781611978193
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.
"Synopsis" may belong to another edition of this title.
About the Author
Lorenzo Pareschi is chair of applied and computational mathematics at the School of Mathematics, Heriot-Watt University, Edinburgh, UK and Professor of Numerical Analysis, University of Ferrara, Italy. The results of his research activity are reported in more than 200 scientific publications and five books. His research interests cover a wide range of topics in applied and computational mathematics, mostly related to multiscale modeling and numerical methods for phenomena described by nonlinear partial differential equations, in particular, hyperbolic and mean-field/kinetic equations.
Giovanni Russo is a professor of numerical analysis in the department of mathematics and computer science at the University of Catania, Italy. The results of his research activity are reported in more than 150 scientific publications and three books. His research interests include computational fluid dynamics; numerical methods for kinetic equations; evolutionary partial differential equations; IMEX methods; level set methods; crystal growth: multiscale modeling and numerics; and, more recently, structure and dynamics of complex networks.
"About the title" may belong to another edition of this title.
Grand Eagle Retail
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