Applied Numerical Methods for Partial Differential Equations

The aim of this book is to quickly elevate students to a proficiency level where they can solve linear and nonlinear partial differential equations using state-of-the-art numerical methods. It covers numerous topics typically absent in introductory texts on ODEs and PDEs, including: Computing soluti...

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Detalles Bibliográficos
Autor Principal: Gardner, Carl L. (Author)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:inglés
Publicado: Cham : Springer Nature Switzerland : Imprint: Springer, 2024.
Edición:1st ed. 2024.
Series:Texts in Applied Mathematics, 78
Subjects:
Acceso en liña:https://doi.org/10.1007/978-3-031-69630-5
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Table of Contents:
  • 1 Overview
  • 2 Consistency, Stability, Convergence
  • 3 Numerical Methods for ODE IVPs
  • 4 Numerical Methods for ODE BVPs
  • 5 Overview of PDEs
  • 6 Numerical Methods for Parabolic PDEs
  • 7 Numerical Methods for Elliptic PDEs
  • 8 Numerical Methods for Hyperbolic PDEs
  • 9 Numerical Methods for Mixed Type PDEs
  • A Useful Mathematical Formulas
  • B Norms and Condition Number
  • References
  • Index .