| Long- time Convergence of Numerical Approximations for Semilinear Parabolic Equations(Ⅰ ) |
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| 引用本文： | 武海军,李荣华.Long- time Convergence of Numerical Approximations for Semilinear Parabolic Equations(Ⅰ )[J].东北数学,2000(1). |
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| 作者姓名： | 武海军 李荣华 |
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| 作者单位： | Department of Mathematics，Jilin University，Changchun，130023 |
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| 摘 要： | § 0 .Introduction We consider the numerical approximations of the dynamical systems governed bysemilinear parabolic equations,which are discretized by Galerkin and nonlinear Galerkinmethods in space,and by Runge-Kutta method in time.The numerical approximationson a finite time interval have already been widely studied(see1 ]— 5] ) .We areconcerned with the long-time convergence and error estimates.This article is composedof three parts. In part ,we provide an abstract framework. In§…
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