Numerical Methods for Evolutionary Differential Equations
By (author) Uri M. Ascher
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Numerical Methods for Evolutionary Differential Equations by Uri M. Ascher
Book DescriptionMathematical 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 DetailsISBN: 9780898716528
(247mm x 174mm x 18mm)
Imprint: Society for Industrial & Applied Mathematics,U.S.
Publisher: Society for Industrial & Applied Mathematics,U.S.
Publish Date: 4-Sep-2008
Country of Publication: United States
Books By Author Uri M. Ascher
First Course in Numerical Methods, Paperback (July 2011)
Offers students a practical knowledge of modern techniques in scientific computing.
Computer Methods for Ordinary Differential Equations and Differential Algebraic Equations, Paperback (August 1998)
This book contains all the material necessary for a course on the numerical solution of differential equations.
Numerical Solution of Boundary Value Problems for Ordinary Differential Equations, Paperback (January 1987)» View all books by Uri M. Ascher
The most comprehensive, up to date account of the popular numerical methods for solving boundary value problems in ODEs.
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Author Biography - Uri M. Ascher
Uri M. Ascher is a Professor of Computer Science at the University of British Columbia, Vancouver.
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