Introduction to Partial Differential Equations A Computational Approach
“It is impossible to exaggerate the extent to which modern applied mathematics has been shaped and fueled by the g- eral availability of fast computers with large memories. Their impact on mathematics, both applied and pure, is comparable to the role of the telescopes in astronomy and microscopes in...
Main Authors: | , |
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Format: | eBook |
Language: | English |
Published: |
New York, NY
Springer New York
1998, 1998
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Edition: | 1st ed. 1998 |
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:
- Setting the Scene
- Two-Point Boundary Value Problems
- The Heat Equation
- Finite Difference Schemes For The Heat Equation
- The Wave Equation
- Maximum Principles
- Poisson’s Equation in Two Space Dimensions
- Orthogonality and General Fourier Series
- Convergence of Fourier Series
- The Heat Equation Revisited
- Reaction-Diffusion Equations
- Applications of the Fourier Transform