论文名称： 两类变时间步长的非线性Galerkin 算法的稳定性
作者： 何银年、侯延仁
来源出版物： 计算数学
年卷期页： 1999,21(2):139-156
收录类型： 其他
论文简介： This paper reprents two types of fully discrete Galerkin algorithm andnonlinear Galerkin algorithm with variable time steps for solvingnumerically nonlinear evolution equations, in which spatialdiscretization is made by spectral functions and finite elements; timeis done by the Euler explicit difference scheme with the first orderaccuracy and two-step semi-implicit difference scheme with the secondorder accuracy. According to the stability analysis, we find that forthe Euler difference scheme and two-step difference scheme on timediscretization the stability of the fully discrete nonlinear Galerkinalgorithms is superior to ones of the fully discrete Galerkinalgorithms. Finally, our numerical test also shows this fact.
原文链接： 两类变时间步长的非线性Galerkin 算法的稳定性