| SPACE-TIME FINITE ELEMENT METHOD FOR SCHRDINGER EQUATION AND ITS CONSERVATION |
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| 引用本文： | 汤琼,陈传淼,刘罗华.SPACE-TIME FINITE ELEMENT METHOD FOR SCHRDINGER EQUATION AND ITS CONSERVATION[J].应用数学和力学(英文版),2006(3). |
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| 作者姓名： | 汤琼 陈传淼 刘罗华 |
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| 作者单位： | Department of Mathematics and Computer Science Hunan Normal University Changsha 410081，P. R. China，Department of Information and Mathematics Science，Zhuzhou Institute of Technology，Zhuzhou 412008，Hunan Province，P. R. China，Department of Mathematics and Computer Science Hunan Normal University，Changsha 410081，P. R. China，Department of Information and Mathematics Science Zhuzhou Institute of Technology，Zhuzhou 412008，Hunan Province，P. R. China |
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| 基金项目： | Project supported by the National Basic Research Program of China (973 program) (No.G1999032804) |
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| 摘 要： | Energy conservation of nonlinear Schrodinger ordinary differential equation was proved through using continuous finite element methods of ordinary differential equation; Energy integration conservation was proved through using space-time continuous fully discrete finite element methods and the electron nearly conservation with higher order error was obtained through using time discontinuous only space continuous finite element methods of nonlinear Schrodinger partial equation. The numerical results are in accordance with the theory.
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