Polynomial Approximation of Differential Equations
This book is devoted to the analysis of approximate solution techniques for differential equations, based on classical orthogonal polynomials. These techniques are popularly known as spectral methods. In the last few decades, there has been a growing interest in this subject. As a matter offact, spe...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1992, 1992
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| Edition: | 1st ed. 1992 |
| Series: | Lecture Notes in Physics Monographs
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- Special Families of Polynomials
- Orthogonality
- Numerical Integration
- Transforms
- Functional Spaces
- Results in Approximation Theory
- Derivative Matrices
- Eigenvalue Analysis
- Ordinary Differential Equations
- Time-Dependent Problems
- Domain-Decomposition Methods
- Examples
- An Example in Two Dimensions