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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: A.A. Samarskij
Publisher: Birkhäuser
ISBN: 3034892721
Category : Mathematics
Languages : en
Pages : 273
Get Book Here
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: A. A. Samarskii
Publisher:
ISBN: 9780817630997
Category :
Languages : en
Pages : 300
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Book Description
Author: A.A. Samarskij
Publisher: Birkhäuser
ISBN: 3034891423
Category : Mathematics
Languages : en
Pages : 507
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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: Aleksandr A. Samarskii
Publisher:
ISBN: 9780817622770
Category : Differential equations
Languages : en
Pages : 501
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Book Description
Author: A.A. Samarskij
Publisher: Birkhäuser
ISBN: 9783764322786
Category : Mathematics
Languages : en
Pages :
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Book Description
Author: Peter Knabner
Publisher: Springer Science & Business Media
ISBN: 0387217622
Category : Mathematics
Languages : en
Pages : 437
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Book Description
This text provides an application oriented introduction to the numerical methods for partial differential equations. It covers finite difference, finite element, and finite volume methods, interweaving theory and applications throughout. The book examines modern topics such as adaptive methods, multilevel methods, and methods for convection-dominated problems and includes detailed illustrations and extensive exercises.
Author: Aleksandr Andreevich Samarskiĭ
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages :
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Book Description
Author: Vladimir D. Liseikin
Publisher: Springer Science & Business Media
ISBN: 3662039494
Category : Science
Languages : en
Pages : 363
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Book Description
This text is an introduction to methods of grid generation technology in scientific computing. Special attention is given to methods developed by the author for the treatment of singularly-perturbed equations, e.g. in modeling high Reynolds number flows. Functionals of conformality, orthogonality, energy and alignment are discussed.
Author: Joe D. Hoffman
Publisher: CRC Press
ISBN: 1482270609
Category : Mathematics
Languages : en
Pages : 840
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Book Description
Emphasizing the finite difference approach for solving differential equations, the second edition of Numerical Methods for Engineers and Scientists presents a methodology for systematically constructing individual computer programs. Providing easy access to accurate solutions to complex scientific and engineering problems, each chapter begins with objectives, a discussion of a representative application, and an outline of special features, summing up with a list of tasks students should be able to complete after reading the chapter- perfect for use as a study guide or for review. The AIAA Journal calls the book "...a good, solid instructional text on the basic tools of numerical analysis."