An Introductory Guide to Computational Methods for the Solution of Physics Problems [E-Book] : With Emphasis on Spectral Methods / by George Rawitscher, Victo dos Santos Filho, Thiago Carvalho Peixoto.
This monograph presents fundamental aspects of modern spectral and other computational methods, which are not generally taught in traditional courses. It emphasizes concepts as errors, convergence, stability, order and efficiency applied to the solution of physical problems. The spectral methods con...
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Full text |
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| Personal Name(s): | Rawitscher, George, author |
| Peixoto, Thiago Carvalho, author / dos Santos Filho, Victo, author | |
| Edition: |
1st ed. 2018. |
| Imprint: |
Cham :
Springer,
2018
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| Physical Description: |
XVIII, 221 pages 109 illustrations, 108 illustrations in color (online resource) |
| Note: |
englisch |
| ISBN: |
9783319427034 |
| DOI: |
10.1007/978-3-319-42703-4 |
- Dedication
- Preface
- Numerical Errors
- Methods
- Galerkin and Collocation Methods
- Convergence Theorems
- Chebyshev Polynomials
- The Integral Equation Corresponding to a Differential Equation
- Spectral Finite Element Method
- The Phase-Amplitude Representation of a Wave Function
- The Vibrating String
- Iteratively Calculated Eigenvalues
- Sturmian Functions
- Index.