Cargando…

Spectral Methods Algorithms, Analysis and Applications /

Along 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 t...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Shen, Jie (Autor), Tang, Tao (Autor), Wang, Li-Lian (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edición:1st ed. 2011.
Colección:Springer Series in Computational Mathematics, 41
Temas:
Acceso en línea:Texto Completo

MARC

LEADER 00000nam a22000005i 4500
001 978-3-540-71041-7
003 DE-He213
005 20220113061516.0
007 cr nn 008mamaa
008 110823s2011 gw | s |||| 0|eng d
020 |a 9783540710417  |9 978-3-540-71041-7 
024 7 |a 10.1007/978-3-540-71041-7  |2 doi 
050 4 |a QA71-90 
072 7 |a PBKS  |2 bicssc 
072 7 |a MAT006000  |2 bisacsh 
072 7 |a PBKS  |2 thema 
082 0 4 |a 518  |2 23 
100 1 |a Shen, Jie.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Spectral Methods  |h [electronic resource] :  |b Algorithms, Analysis and Applications /  |c by Jie Shen, Tao Tang, Li-Lian Wang. 
250 |a 1st ed. 2011. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 2011. 
300 |a XVI, 472 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Springer Series in Computational Mathematics,  |x 2198-3712 ;  |v 41 
505 0 |a Introduction -- Fourier Spectral Methods for Periodic Problems -- Orthogonol Polynomials and Related Approximation Results -- Second-Order Two-Point Boundary Value Problems -- Integral Equations -- High-Order Differential Equations -- Problems in Unbounded Domains -- Multi-Dimensional Domains -- Mathematical Preliminaries -- Basic iterative methods -- Basic time discretization schemes -- Instructions for routines in Matlab.  . 
520 |a Along 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. 
650 0 |a Mathematics-Data processing. 
650 0 |a Differential equations. 
650 0 |a Computer science-Mathematics. 
650 1 4 |a Computational Mathematics and Numerical Analysis. 
650 2 4 |a Differential Equations. 
650 2 4 |a Mathematics of Computing. 
700 1 |a Tang, Tao.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Wang, Li-Lian.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783540867449 
776 0 8 |i Printed edition:  |z 9783642270970 
776 0 8 |i Printed edition:  |z 9783540710400 
830 0 |a Springer Series in Computational Mathematics,  |x 2198-3712 ;  |v 41 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-540-71041-7  |z Texto Completo 
912 |a ZDB-2-SMA 
912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713)