Numerical Methods for Grid Equations

Language: English

Published by Birkhäuser, Birkhäuser Okt 2011, 2011

3034899238 / 9783034899239

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This item is printed on demand - Print on Demand Titel. Neuware -5 The Mathematical Theory of Iterative Methods.- 5.1 Several results from functional analysis.- 5.2 Difference schemes as operator equations.- 5.3 Basic concepts from the theory of iterative methods.- 6 Two-Level Iterative Methods.- 6.1 Choosing the iterative parameters.- 6.2 The Chebyshev two-level method.- 6.3 The simple iteration method.- 6.4 The non-self-adjoint case. The simple iteration method.- 6.5 Sample applications of the iterative methods.- 7 Three-Level Iterative Methods.- 7.1 An estimate of the convergence rate.- 7.2 The Chebyshev semi-iterative method.- 7.3 The stationary three-level method.- 7.4 The stability of two-level and three-level methods relative to a priori data.- 8 Iterative Methods of Variational Type.- 8.1 Two-level gradient methods.- 8.2 Examples of two-level gradient methods.- 8.3 Three-level conjugate-direction methods.- 8.4 Examples of the three-level methods.- 8.5 Accelerating the convergence of two-level methods in the self-adjoint case.- 9 Triangular Iterative Methods.- 9.1 The Gauss-Seidel method.- 9.2 The successive over-relaxation method.- 9.3 Triangular methods.- 10 The Alternate-Triangular Method.- 10.1 The general theory of the method.- 10.2 Boundary-value difference problems for elliptic equations in a rectangle.- 10.3 The alternate-triangular method for elliptic equations in arbitrary regions.- 11 The Alternating-Directions Method.- 11.1 The alternating-directions method in the commutative case.- 11.2 Sample applications of the method.- 11.3 The alternating-directions method in the general case.- 12 Methods for Solving Equationswith Indefinite and Singular Operators.- 12.1 Equations with real indefinite operators.- 12.2 Equations with complex operators.- 12.3 General iterative methods for equations with singular operators.- 12.4Special methods.- 13 Iterative Methods for Solving Non-Linear Equations.- 13.1 Iterative methods. The general theory.- 13.2 Methods for solving non-linear difference schemes.- 14 Example Solutions of Elliptic Grid Equations.- 14.1 Methods for constructing implicit iterative schemes.- 14.3 Systems of elliptic equations.- 14.4 Methods for solving elliptic equations in irregular regions.- 15 Methods for Solving Elliptic Equationsin Curvilinear Orthogonal Coordinates.- 15.1 Posing boundary-value problems for differential equations.- 15.2 The solution of difference problems in cylindrical coordinates.- 15.3 Solution of difference problems in polar coordinate systems.- Appendices.- Construction of the minimax polynomial.- Translator's note.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 524 pp. Englisch.…

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Bibliographic details

Title
Numerical Methods for Grid Equations
Author
A. A. Samarskij
Publisher
Birkhäuser, Birkhäuser Okt 2011
Publication year
2011
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3034899238
ISBN 13
9783034899239
Item weight
894 grams
Dimensions
244x170x29 mm

buchversandmimpf2000

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