| NONLINEAR GALERKIN METHOD FOR STEADYNONLINEAR DIFFERENTIAL EQUATIONS |
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| 引用本文： | HE Yinnian, LI Kaitai(Research Centre for Applied Mathematics,Xi'an Jiaotong University,Xi'an 710049,China). NONLINEAR GALERKIN METHOD FOR STEADYNONLINEAR DIFFERENTIAL EQUATIONS[J]. 系统科学与复杂性, 1997, 0(4) |
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| 作者姓名： | HE Yinnian LI Kaitai(Research Centre for Applied Mathematics Xi'an Jiaotong University Xi'an 710049 China) |
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| 作者单位： | Research Centre for Applied Mathematics，Xi'an Jiaotong University，Xi'an 710049，China |
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| 摘 要： | 1.IntroductionNonlinearGalerkinmethodsarenumericalschemesforthedissipativeevolutionpartialdifferelltialequationswherethespatialdiscretizationreliesonanonlinearmanifoldinsteadofalinearspaceasintheclassicalGalerkinmethod.Moreprecisely,oneconsidersafinitedim…
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NONLINEAR GALERKIN METHOD FOR STEADY NONLINEAR DIFFERENTIAL EQUATIONS |
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| HE Yinnian, LI Kaitai. NONLINEAR GALERKIN METHOD FOR STEADY NONLINEAR DIFFERENTIAL EQUATIONS[J]. Journal of Systems Science and Complexity, 1997, 0(4) |
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| Authors: | HE Yinnian LI Kaitai |
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| Abstract: | A nonlinear Galerkin method using spectral expansions is presented for thesteady nonlinear partial differential equations. We prove the existence, uniqueness andconvergence of the numerical solution corresponding to this method. Compared with the usualGalerkin method, the nonlinear Galerkin method is simpler under the same convergenceaccuracy. |
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| Keywords: | Nonlinear Galerkin method nonlinear partial differential equation convergence. |
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