Padé approximants
The Pade approximant of a given power series is a rational function of numerator degree L and denominator degree M whose power series agrees with the given one up to degree L + M inclusively. A collection of Pade approximants formed by using a suitable set of values of L and M often provides a means...
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| Otros Autores: | |
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Cambridge [England] ; New York :
Cambridge University Press
1996.
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| Edición: | 2nd ed |
| Colección: | EBSCO Academic eBook Collection Complete.
Encyclopedia of mathematics and its applications ; volume 59. |
| Acceso en línea: | Conectar con la versión electrónica |
| Ver en Universidad de Navarra: | https://innopac.unav.es/record=b30853023*spi |
Tabla de Contenidos:
- 1. Introduction and definitions
- 2. Elementary developments
- 3. Pade approximants and numerical methods
- 4. Connection with continued fractions
- 5. Stieltjes series and Polya series
- 6. Convergence theory
- 7. Extensions of Pade approximations
- 8. Multiseries approximants
- 9. Connection with integral equations and quantum mechanics
- 10. Connection with numerical analysis
- 11. Connection with quantum field theory
- Appendix: A FORTRAN FUNCTION.
