Hermite pseudospectral method for nonlinear partial differential equations
Hermite pseudospectral method for nonlinear partial differential equations
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DOI：
10.1051/m2an:2000100
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发表时间：
2000-07
期刊：
影响因子：
--
通讯作者：
B. Guo;Cheng-long Xu
中科院分区：
文献类型：
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作者：
B. Guo;Cheng-long Xu
研究了Hermite多项式插值问题。得到了一些近似结果。作为一个例子，考虑了全线上的Burgers方程.严格证明了拟Hermite谱格式的稳定性和收敛性。数值结果。
Hermite polynomial interpolation is investigated. Some approximation results are obtained. As an example, the Burgers equation on the whole line is considered. The stability and the convergence of proposed Hermite pseudospectral scheme are proved strictly. Numerical results are presented.