Iterative Splitting Methods for Differential Equations

Juergen (Ernst-Moritz-Arndt University of Greifswald Geiser

ISBN 10: 1138111902 / ISBN 13: 9781138111905

Published by Taylor & Francis Ltd Mai 2017, 2017

About this Item

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Seller Inventory # 9781138111905

Bibliographic Details

• Title: Iterative Splitting Methods for Differential Equations
• Publisher: Taylor & Francis Ltd Mai 2017
• Publication Date: 2017
• Language: English
• ISBN 10: 1138111902
• ISBN 13: 9781138111905
• Binding: Taschenbuch
• Condition: Neu

About this title

Synopsis

Iterative Splitting Methods for Differential Equations explains how to solve evolution equations via novel iterative-based splitting methods that efficiently use computational and memory resources. It focuses on systems of parabolic and hyperbolic equations, including convection-diffusion-reaction equations, heat equations, and wave equations.

In the theoretical part of the book, the author discusses the main theorems and results of the stability and consistency analysis for ordinary differential equations. He then presents extensions of the iterative splitting methods to partial differential equations and spatial- and time-dependent differential equations.

The practical part of the text applies the methods to benchmark and real-life problems, such as waste disposal, elastics wave propagation, and complex flow phenomena. The book also examines the benefits of equation decomposition. It concludes with a discussion on several useful software packages, including r3t and FIDOS.

Covering a wide range of theoretical and practical issues in multiphysics and multiscale problems, this book explores the benefits of using iterative splitting schemes to solve physical problems. It illustrates how iterative operator splitting methods are excellent decomposition methods for obtaining higher-order accuracy.

About the Author

Juergen Geiser is a researcher in the Department of Mathematics at the Humboldt-University of Berlin. His research interests include numerical and computational analysis, partial differential equations, decomposition and discretization methods for hyperbolic and parabolic equations, optimization, scientific computing, and interface analysis.