Numerical Methods for Evolutionary Differential Equations


  • Paperback
  • 410 pages
  • Numerical Methods for Evolutionary Differential Equations
  • Uri Ascher
  • English
  • 13 July 2019
  • 9780898716528

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Numerical Methods for Evolutionary Differential Equations [PDF / EPUB] Numerical Methods for Evolutionary Differential Equations 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 co Mathematical models involving evolutionary partial differential equations PDEs for Evolutionary PDF ↠ 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 Numerical Methods PDF or 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.