Numerical Methods for Evolutionary Differential Equations
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Numerical Methods for Evolutionary Differential Equations

Numerical Methods for Evolutionary Differential Equations


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About the Book

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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Product Details
  • ISBN-13: 9780898716528
  • Publisher: Society for Industrial and Applied Mathematics (SIAM)
  • Publisher Imprint: Society for Industrial and Applied Mathematics (SIAM)
  • Depth: 19
  • Language: English
  • Returnable: Y
  • Spine Width: 18 mm
  • Width: 174 mm
  • ISBN-10: 0898716527
  • Publisher Date: 04 Sep 2008
  • Binding: Paperback
  • Height: 247 mm
  • No of Pages: 410
  • Series Title: Computational Science and Engineering
  • Weight: 750 gr


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Numerical Methods for Evolutionary Differential Equations
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