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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| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | inglés |
| Publicado: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2024.
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| 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 .