| 书目名称 | Difference Schemes with Operator Factors | | 编辑 | A. A. Samarskii,P. P. Matus,P. N. Vabishchevich | | 视频video | | | 丛书名称 | Mathematics and Its Applications | | 图书封面 |  | | 描述 | Two-and three-level difference schemes for discretisation in time, in conjunction with finite difference or finite element approximations with respect to the space variables, are often used to solve numerically non stationary problems of mathematical physics. In the theoretical analysis of difference schemes our basic attention is paid to the problem of sta bility of a difference solution (or well posedness of a difference scheme) with respect to small perturbations of the initial conditions and the right hand side. The theory of stability of difference schemes develops in various di rections. The most important results on this subject can be found in the book by A.A. Samarskii and A.V. Goolin [Samarskii and Goolin, 1973]. The survey papers of V. Thomee [Thomee, 1969, Thomee, 1990], A.V. Goolin and A.A. Samarskii [Goolin and Samarskii, 1976], E. Tad more [Tadmor, 1987] should also be mentioned here. The stability theory is a basis for the analysis of the convergence of an approximative solu tion to the exact solution, provided that the mesh width tends to zero. In this case the required estimate for the truncation error follows from consideration of the corresponding problem f | | 出版日期 | Book 2002 | | 关键词 | Mathematica; computational mathematics; finite element method; numerical method; operator; problem solvin | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-015-9874-3 | | isbn_softcover | 978-90-481-6118-8 | | isbn_ebook | 978-94-015-9874-3 | | copyright | Springer Science+Business Media Dordrecht 2002 |
The information of publication is updating
|
|
发表于 2025-3-21 18:20:54
