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Spectral methods: algorithms, analysis and applications
Shen, Jie.
- ISBN:9783540710400
- Call Number : QC 20 .7 .S64 .S54 2011
- Main Entry: Shen, Jie.
- Title:Spectral methods: algorithms, analysis and applications [electronic resource] / Jie Shen, Tao Tang, Li-Lian Wang.
- Publisher:Heidelberg : Springer, 2011.
- Physical Description:xvi, 470 p.: ill. (some col.); 24 cm
- Series:Springer series in computational mathematics; 41
- Notes:CD no.1221
- Notes:Includes bibliographical references and index
- Subject:Spectral theory (Mathematics)
- Added Entry:Tang, T.(Tao), 1963-
- Added Entry:Wang, Li-Lian.
- Added Entry:Title.
- Spectral Methods
- Preface
- Contents
- Symbol List
- Chapter 1 Introduction
- Chapter 2 Fourier Spectral Methods for Periodic Problems
- Chapter 3 Orthogonal Polynomials and Related Approximation Results
- Chapter 4 Spectral Methods for Second-Order Two-Point Boundary Value Problems
- Chapter 5 Volterra Integral Equations
- Chapter 6 Higher-Order Differential Equations
- Chapter 7 Unbounded Domains
- Chapter 8 Separable Multi-Dimensional Domains
- Chapter 9 Applications in Multi-Dimensional Domains
- Appendix A Properties of the Gamma Functions
- Appendix B Essential Mathematical Concepts
- Appendix C Basic Iterative Methods and Preconditioning
- Appendix D Basic Time Discretization Schemes
- References
- Index
