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抛物问题的伽辽金有限元方法

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作者(瑞典)托姆

出版社世界图书出版公司出版社

ISBN9787510058370

出版时间2013-03

版次1

装帧平装

开本16开

纸张胶版纸

页数370页

定价65元

上书时间2024-08-01

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商品描述: 基本信息
书名:抛物问题的伽辽金有限元方法
定价：65.00元
作者:(瑞典)托姆
出版社：世界图书出版公司出版社
出版日期：2013-03-01
ISBN：9787510058370
字数：
页码：370
版次：2
装帧：平装
开本：24开
商品重量：
编辑推荐
《抛物问题的伽辽金有限元方法(第2版)》由(瑞典)托姆著，主要内容：Thebasis of this work is my earlier text entitled Galerkin FiniteElement Methods for Parabolic Problems, Springer Lecture Notes inMathematics, No. 1054, from 1984. This haeen out of print forseveral years, and I have felt a need and been encouraged bycolleagues and friends to publish an updated version. In doing so Ihave included most of the contents of the 14 chapters of theearlier work in an updated and revised form, and added four newchapters, on semigroup methods, on multistep schemes, on incompleteiterative solution of the linear algebraic systems at the timelevels, and on semilineax equations. The old chapters on fullydiscrete methods have been reworked by first treating the timediscretization of an abstract differential equation in a Hilbertspace setting, and the chapter on the discontinuous Galerkin methodhaeen completely rewritten.
内容提要
《抛物问题的伽辽金有限元方法(第2版)》由(瑞典)托姆著，主要内容：Thebasis of this work is my earlier text entitled Galerkin FiniteElement Methods for Parabolic Problems, Springer Lecture Notes inMathematics, No. 1054, from 1984. This haeen out of print forseveral years, and I have felt a need and been encouraged bycolleagues and friends to publish an updated version. In doing so Ihave included most of the contents of the 14 chapters of theearlier work in an updated and revised form, and added four newchapters, on semigroup methods, on multistep schemes, on incompleteiterative solution of the linear algebraic systems at the timelevels, and on semilineax equations. The old chapters on fullydiscrete methods have been reworked by first treating the timediscretization of an abstract differential equation in a Hilbertspace setting, and the chapter on the discontinuous Galerkin methodhaeen completely rewritten.
目录
PrefacePreface to the Second Edition1. The Standard Galerkin Method2. Methods Based on More General Appromations of the Elliptic Problem3. Nonsmooth Data Error Estimates4. More General Parabolic Equations5. Norm Estimates and Superconvergence6. Mamum-Norm Estimates and Analytic Semigroups7. Single Step Fully Discrete Schemes for the Homogeneous Equation8. Single Step Fully Discrete Schemes for the Inhomogeneous Equation9. Single Step Methods and Rational Appromations of Semigroups10. Multistep Backward Difference Methods11. Incomplete Iterative Solution of the Algebraic Systems at the Time Levels12. The Discontinuous Galerkin Time Stepping Method13. A Nonlinear Problem14. Semilinear Parabolic Equations15. The Method of Lumped Masses16. The H1 and H-1 Methods17. A Mixed Method18. A Singular Problem19. Problems in Polygonal Domains20. Time Discretization by Laplace Transformation and QuadratureReferencesIndex
作者介绍
作者：（瑞典）托姆（Vidar Thomee）
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抛物问题的伽辽金有限元方法

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