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Numerical Methods for Evolutionary Differential Equations

Name: Numerical Methods for Evolutionary Differential Equations
Brand: Society for Industrial & Applied Mathematics,U.S.
SKU: 02050216
Price: 37703 HUF
Availability: InStock
Author: Uri M. Ascher
ISBN: 9780898716528

Uri M. Ascher

Language

English

Book Paperback

Libristo code: 02050216

Publishers Society for Industrial & Applied Mathematics,U.S., June 2008

Mathematical models involving evolutionary partial differential equations (PDEs) as well as ordinary... Full description

Libristo code: 02050216

255 b

37 703 Ft

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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.