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Author: A.A. Samarskij
Publisher: Birkhäuser
ISBN: 9783034891431
Category : Mathematics
Languages : en
Pages : 502
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Book Description
Author: A.A. Samarskij
Publisher: Birkhäuser
ISBN: 9783034891431
Category : Mathematics
Languages : en
Pages : 502
Get Book Here
Book Description
Author: A.A. Samarskij
Publisher: Birkhäuser
ISBN: 3034892721
Category : Mathematics
Languages : en
Pages : 273
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Book Description
The finite-difference solution of mathematical-physics differential equations is carried out in two stages: 1) the writing of the difference scheme (a differ ence approximation to the differential equation on a grid), 2) the computer solution of the difference equations, which are written in the form of a high order system of linear algebraic equations of special form (ill-conditioned, band-structured). Application of general linear algebra methods is not always appropriate for such systems because of the need to store a large volume of information, as well as because of the large amount of work required by these methods. For the solution of difference equations, special methods have been developed which, in one way or another, take into account special features of the problem, and which allow the solution to be found using less work than via the general methods. This work is an extension of the book Difference M ethod3 for the Solution of Elliptic Equation3 by A. A. Samarskii and V. B. Andreev which considered a whole set of questions connected with difference approximations, the con struction of difference operators, and estimation of the ~onvergence rate of difference schemes for typical elliptic boundary-value problems. Here we consider only solution methods for difference equations. The book in fact consists of two volumes.
Author: Aleksandr Andreevich Samarskiĭ
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages :
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Book Description
Author: Aleksandr A. Samarskii
Publisher:
ISBN: 9780817622770
Category : Differential equations
Languages : en
Pages : 501
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Book Description
Author: A. A. Samarskii
Publisher:
ISBN: 9780817630997
Category :
Languages : en
Pages : 300
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Book Description
Author: Aleksandr Andreevich Samarskiĭ
Publisher: Birkhauser
ISBN: 9780817622763
Category : Mathematics
Languages : en
Pages : 242
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Book Description
Author: Kendall E. Atkinson
Publisher: Cambridge University Press
ISBN: 0521583918
Category : Mathematics
Languages : en
Pages : 572
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Book Description
This book provides an extensive introduction to the numerical solution of a large class of integral equations.
Author: Yousef Saad
Publisher: SIAM
ISBN: 0898715342
Category : Mathematics
Languages : en
Pages : 537
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Book Description
Mathematics of Computing -- General.
Author: Gabriele Ciaramella
Publisher: SIAM
ISBN: 1611976901
Category : Mathematics
Languages : en
Pages : 285
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Book Description
Iterative methods use successive approximations to obtain more accurate solutions. This book gives an introduction to iterative methods and preconditioning for solving discretized elliptic partial differential equations and optimal control problems governed by the Laplace equation, for which the use of matrix-free procedures is crucial. All methods are explained and analyzed starting from the historical ideas of the inventors, which are often quoted from their seminal works. Iterative Methods and Preconditioners for Systems of Linear Equations grew out of a set of lecture notes that were improved and enriched over time, resulting in a clear focus for the teaching methodology, which derives complete convergence estimates for all methods, illustrates and provides MATLAB codes for all methods, and studies and tests all preconditioners first as stationary iterative solvers. This textbook is appropriate for undergraduate and graduate students who want an overview or deeper understanding of iterative methods. Its focus on both analysis and numerical experiments allows the material to be taught with very little preparation, since all the arguments are self-contained, and makes it appropriate for self-study as well. It can be used in courses on iterative methods, Krylov methods and preconditioners, and numerical optimal control. Scientists and engineers interested in new topics and applications will also find the text useful.
Author: Anne Greenbaum
Publisher: SIAM
ISBN: 089871396X
Category : Mathematics
Languages : en
Pages : 225
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Book Description
Mathematics of Computing -- Numerical Analysis.
