| 书目名称 | Numerical Methods for Grid Equations | | 副标题 | Volume I Direct Meth | | 编辑 | Aleksandr A. Samarskii,Evgenii S. Nikolaev | | 视频video | http://file.papertrans.cn/670/669068/669068.mp4 | | 图书封面 |  | | 描述 | 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 | | 出版日期 | Book 1989 | | 关键词 | Approximation; Cauchy problem; algebra; difference equation; differential equation; linear algebra; matric | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-9272-8 | | isbn_softcover | 978-3-0348-9972-7 | | isbn_ebook | 978-3-0348-9272-8 | | copyright | Birkhäuser Verlag Basel 1989 |
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