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Numerical Methods for Evolutionary Differential Equations

Language EnglishEnglish
Book Paperback
Book Numerical Methods for Evolutionary Differential Equations Uri M. Ascher
Libristo code: 02050216
Mathematical models involving evolutionary partial differential equations (PDEs) as well as ordinary... Full description
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Mathematical models involving evolutionary partial differential equations (PDEs) as well as ordinary differential equations (ODEs) arise in diverse applications such as fluid flow, image processing and computer vision, physics-based animation, mechanical systems, relativity, earth sciences, and mathematical finance. This text develops, analyses, and applies numerical methods for evolutionary, or time-dependent, differential problems. Both PDEs and ODEs are discussed from a unified view. The author emphasises finite difference and finite volume methods, specifically their principled derivation, stability, accuracy, efficient implementation, and practical performance in various fields of science and engineering. Smooth and non-smooth solutions for hyperbolic PDEs, parabolic-type PDEs, and initial value ODEs are treated, and a practical introduction to geometric integration methods is also included. The author bridges theory and practice by developing algorithms, concepts, and analysis from basic principles while discussing efficiency and performance issues, and demonstrating methods through examples and case studies from numerous application areas.

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About the book

Full name Numerical Methods for Evolutionary Differential Equations
Author Uri M. Ascher
Language English
Binding Book - Paperback
Date of issue 2008
Number of pages 408
EAN 9780898716528
ISBN 0898716527
Libristo code 02050216
Weight 7
Dimensions 177 x 251 x 19
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