| 書目名稱 | Difference Schemes with Operator Factors | | 編輯 | A. A. Samarskii,P. P. Matus,P. N. Vabishchevich | | 視頻video | http://file.papertrans.cn/279/278616/278616.mp4 | | 叢書名稱 | Mathematics and Its Applications | | 圖書封面 |  | | 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 | | 關(guān)鍵詞 | 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 |
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