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Numerical Methods for Evolutionary Differential Equations (Computational Science and Engineering) - Softcover
Synopsis
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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Book Description
This text develops, analyses, and applies numerical methods for evolutionary, or time-dependent, differential problems. PDEs and ODEs are discussed from a unified view, with emphasis on finite difference and finite volume methods, specifically their principled derivation, stability, accuracy, efficient implementation, and practical performance in various fields of science and engineering.
About the Author
Uri M. Ascher is a Professor of Computer Science at the University of British Columbia, Vancouver.
"About this title" may belong to another edition of this title.
- PublisherSociety for Industrial and Applied Mathematics
- Publication date2008
- ISBN 10 0898716527
- ISBN 13 9780898716528
- BindingPaperback
- LanguageEnglish
- Number of pages410
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Numerical Methods for Evolutionary Differential Equations (Computational Science and Engineering)
Published by
Society for Industrial and Applied Mathematics, 2008
ISBN 10: 0898716527
ISBN 13: 9780898716528
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Numerical Methods for Evolutionary Differential Equations (Computational Science and Engineering)
Published by
Society for Industrial and Applied Mathematics, 2008
ISBN 10: 0898716527
ISBN 13: 9780898716528
Used
Softcover
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Stock Image
Numerical Methods for Evolutionary Differential Equations (Computational Science and Engineering)
Published by
Society for Industrial and Applied Mathematics, 2008
ISBN 10: 0898716527
ISBN 13: 9780898716528
Used
Paperback
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Seller rating 4 out of 5 stars
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