Numerical Methods for Evolutionary Differential Equations (Computational Science and Engineering) - Softcover

Ascher, Uri M.

 
9780898716528: Numerical Methods for Evolutionary Differential Equations (Computational Science and Engineering)
Softcover
ISBN 10: 0898716527 ISBN 13: 9780898716528
Publisher: Society for Industrial and Applied Mathematics, 2008

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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About the Author

Uri M. Ascher is a Professor of Computer Science at the University of British Columbia, Vancouver.

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Publisher
Society for Industrial and Applied Mathematics
Publication date
2008
Language
English
ISBN 10 
0898716527
ISBN 13 
9780898716528
Binding
Paperback
Number of pages
410