Numerical analysis for semilinear evolution equations of parabolic type

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摘要

We study the Galerkin Euler approximations of semilinear evolution equations of parabolic type. We utilize both the semigroup method and the variational method to construct approximate solutions and estimate errors.

论文关键词:Semilinear abstract evolution equations of parabolic type,Galerkin method,Implicit–explicit Euler scheme,Semigroup method,Variational method

论文评审过程:Received 1 October 2002, Revised 16 December 2002, Available online 29 August 2003.

论文官网地址:https://doi.org/10.1016/S0377-0427(03)00567-3