000			01988 a2200265 4500
003			OSt
005			20240909160812.0
008			240909b |||||||| |||| 00| 0 eng d
020			_a9783540710400
040			_aICTS-TIFR
050			_aQC20.7.S64
100			_aShen, Jie
245			_aSpectral methods : algorithms, analysis and applications
260			_bSpringer Berlin, _aHeidelberg: _c[c2011]
300			_a470 p.
490			_aSpringer series in computational mathematics
505			_a1. Introduction 2. Fourier Spectral Methods for Periodic Problems 3. Orthogonal Polynomials and Related Approximation Results 4. Spectral Methods for Second-Order Two-Point Boundary Value Problems 5. Volterra Integral Equations 6. Higher-Order Differential Equations 7. Unbounded Domains 8. Separable Multi-Dimensional Domains 9. Applications in Multi-Dimensional Domains
520			_aAlong with finite differences and finite elements, spectral methods are one of the three main methodologies for solving partial differential equations on computers. This book provides a detailed presentation of basic spectral algorithms, as well as a systematical presentation of basic convergence theory and error analysis for spectral methods. Readers of this book will be exposed to a unified framework for designing and analyzing spectral algorithms for a variety of problems, including in particular high-order differential equations and problems in unbounded domains. The book contains a large number of figures which are designed to illustrate various concepts stressed in the book. A set of basic matlab codes has been made available online to help the readers to develop their own spectral codes for their specific applications.---summary provided by publisher
650			_aSpectral theory (Mathematics)
650			_aPartial differential equations
700			_aTang, Tao
700			_aWang, Li-Lian
856			_uhttps://doi.org/10.1007/978-3-540-71041-7
942			_2lcc _cBK
999			_c35121 _d35121