Numerical Methods for Grid Equations

Volume I Direct Methods

Authors: Samarskij, A.A., Nikolaev, E.S.

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About this book

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.

Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook $89.00
price for USA in USD (gross)
  • ISBN 978-3-0348-9272-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.99
price for USA in USD
  • ISBN 978-3-7643-2276-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $119.99
price for USA in USD
  • ISBN 978-3-0348-9972-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Numerical Methods for Grid Equations
Book Subtitle
Volume I Direct Methods
Authors
Copyright
1989
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Verlag Basel
eBook ISBN
978-3-0348-9272-8
DOI
10.1007/978-3-0348-9272-8
Hardcover ISBN
978-3-7643-2276-2
Softcover ISBN
978-3-0348-9972-7
Edition Number
1
Number of Pages
XXXV, 242
Topics