| HIGH-ORDER NONLINEAR GALERKIN METHODS |
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| 作者姓名： | 何银年 李开泰 |
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| 作者单位： | Research Center for Applied Mathematics，Xi'an Jiaoton University，Xi'an，710049 PRC.，Research Center for Applied Mathematics，Xi'an Jiaoton University，Xi'an，710049 PRC. |
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| 摘 要： | The nonlinear Galerkin methods are numerical schemes well adapted to the long-term integration of nonlinear evolution partial differential equations. In this paper, a class of high-order nonlinear Galerkin methods are provided. Moreover, convergence results with high-order spectral accuracy are derived for the schemes introduced.
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HIGH-ORDER NONLINEAR GALERKIN METHODS |
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| He Ying-nian Research Center for Applied Mathematics,Xi'an Jiaoton University,Xi'an, PRC.Li Kai-tai Research Center for Applied Mathematics,Xi'an Jiaoton University,Xi'an, PRC..HIGH-ORDER NONLINEAR GALERKIN METHODS[J].Numerical Mathematics A Journal of Chinese Universities English Series,1993(2). |
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| Authors: | He Ying-nian Research Center for Applied Mathematics Xi'an Jiaoton University Xi'an PRCLi Kai-tai Research Center for Applied Mathematics Xi'an Jiaoton University Xi'an PRC |
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| Institution: | He Ying-nian Research Center for Applied Mathematics,Xi'an Jiaoton University,Xi'an,710049 PRC.Li Kai-tai Research Center for Applied Mathematics,Xi'an Jiaoton University,Xi'an,710049 PRC. |
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| Abstract: | The nonlinear Galerkin methods are numerical schemes well adapted to the long-term integration of nonlinear evolution partial differential equations. In this paper, a class of high-order nonlinear Galerkin methods are provided. Moreover, convergence results with high-order spectral accuracy are derived for the schemes introduced. |
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| Keywords: | Nonlinear Galerkin Method Nonlinear Evolution Equation |
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