Book contents
- Frontmatter
- Contents
- Preface
- Abbreviations
- 1 Introduction
- 2 Introduction to spectral methods via orthogonal functions
- 3 Introduction to PS methods via finite differences
- 4 Key properties of PS approximations
- 5 PS variations and enhancements
- 6 PS methods in polar and spherical geometries
- 7 Comparisons of computational cost for FD and PS methods
- 8 Applications for spectral methods
- Appendices
- A Jacobi polynomials
- B Tau, Galerkin, and collocation (PS) implementations
- C Codes for algorithm to find FD weights
- D Lebesgue constants
- E Potential function estimate for polynomial interpolation error
- F FFT-based implementation of PS methods
- G Stability domains for some ODE solvers
- H Energy estimates
- References
- Index
A - Jacobi polynomials
Published online by Cambridge University Press: 03 December 2009
Book contents
- Frontmatter
- Contents
- Preface
- Abbreviations
- 1 Introduction
- 2 Introduction to spectral methods via orthogonal functions
- 3 Introduction to PS methods via finite differences
- 4 Key properties of PS approximations
- 5 PS variations and enhancements
- 6 PS methods in polar and spherical geometries
- 7 Comparisons of computational cost for FD and PS methods
- 8 Applications for spectral methods
- Appendices
- A Jacobi polynomials
- B Tau, Galerkin, and collocation (PS) implementations
- C Codes for algorithm to find FD weights
- D Lebesgue constants
- E Potential function estimate for polynomial interpolation error
- F FFT-based implementation of PS methods
- G Stability domains for some ODE solvers
- H Energy estimates
- References
- Index
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- A Practical Guide to Pseudospectral Methods , pp. 155 - 160Publisher: Cambridge University PressPrint publication year: 1996