Partial Differential Equations with Numerical Methods
The book is suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering. The main theme is the integration of the theory of linear PDEs and the numerical solution of such equations. For each type of PDE, elliptic, parabolic, and hyperbolic, the text con...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2003, 2003
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| Edition: | 1st ed. 2003 |
| Series: | Texts in Applied Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- A Two-Point Boundary Value Problem
- Elliptic Equations
- Finite Difference Methods for Elliptic Equations
- Finite Element Methods for Elliptic Equations
- The Elliptic Eigenvalue Problem
- Initial-Value Problems for Ordinary Differential Equations
- Parabolic Equations
- Finite Difference Methods for Parabolic Problems
- The Finite Element Method for a Parabolic Problem
- Hyperbolic Equations
- Finite Difference Methods for Hyperbolic Equations
- The Finite Element Method for Hyperbolic Equations
- Some Other Classes of Numerical Methods