| 000 -LEADER |
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| fixed length control field |
03153 a2200289 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240909160555.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
240909b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783540307259 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
ICTS-TIFR |
| 050 ## - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA320 .S626 |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Canuto, Claudio |
| 245 ## - TITLE STATEMENT |
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| Title |
Spectral methods : fundamentals in single domains |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Name of publisher, distributor, etc. |
Springer Berlin, |
| Place of publication, distribution, etc. |
Heidelberg: |
| Date of publication, distribution, etc. |
[c2006] |
| 300 ## - Physical Description |
|---|
| Pages: |
563 p. |
| 490 ## - SERIES STATEMENT |
|---|
| Series statement |
Scientific computation |
| 505 ## - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
1. Introduction<br/>2. Polynomial Approximation<br/>3. Basic Approaches to Constructing Spectral Methods<br/>4. Algebraic Systems and Solution Techniques<br/>5. Polynomial Approximation Theory<br/>6. Theory of Stability and Convergence<br/>7. Analysis of Model Boundary-Value Problems |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
Since the publication of "Spectral Methods in Fluid Dynamics", spectral methods, particularly in their multidomain version, have become firmly established as a mainstream tool for scientific and engineering computation. While retaining the tight integration between the theoretical and practical aspects of spectral methods that was the hallmark of the earlier book, Canuto et al. now incorporate the many improvements in the algorithms and the theory of spectral methods that have been made since 1988. The initial treatment Fundamentals in Single Domains discusses the fundamentals of the approximation of solutions to ordinary and partial differential equations on single domains by expansions in smooth, global basis functions. The first half of the book provides the algorithmic details of orthogonal expansions, transform methods, spectral discretization of differential equations plus their boundary conditions, and solution of the discretized equations by direct and iterative methods. The second half furnishes a comprehensive discussion of the mathematical theory of spectral methods on single domains, including approximation theory, stability and convergence, and illustrative applications of the theory to model boundary-value problems. Both the algorithmic and theoretical discussions cover spectral methods on tensor-product domains, triangles and tetrahedra. All chapters are enhanced with material on the Galerkin with numerical integration version of spectral methods. The discussion of direct and iterative solution methods is greatly expanded as are the set of numerical examples that illustrate the key properties of the various types of spectral approximations and the solution algorithms. A companion book "Evolution to Complex Geometries and Applications to Fluid Dynamics" contains an extensive survey of the essential algorithmic and theoretical aspects of spectral methods for complex geometries and provides detailed discussions of spectral algorithms for fluid dynamics in simple and complex geometries.---summary provided by publisher |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Partial differential equations > Numerical solutions. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Numerical analysis |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Spectral theory (Mathematics) |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Hussaini, M. Youssuff |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Quarteroni, Alfio |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Zang, Thomas A. |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://doi.org/10.1007/978-3-540-30726-6">https://doi.org/10.1007/978-3-540-30726-6</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
|
| Koha item type |
Book |
