摘要:提出一种交替方向Legendre谱元格式求解二维Schrtidinger方程,并对于线性情形给出最优日’误差估计.该方法把二维问题的计算转化成一维问题的求解,并且采用区域分裂法进一步降低问题的规模.该算法可实现高度并行化,并减少存储,通过选择适当的基函数,使得导出的矩阵是带状稀疏的.通过数值算例比较,该方法显示出一定的有效性.
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Journal of Systems Science and Complexity Chinese Optics Letters Advances in Atmospheric Sciences Chinese Annals of Mathematics,Series B Chinese Physics C Science China Mathematics Nuclear Science and Techniques Research in Astronomy and Astrophysics Journal of Systems Engineering and Electronics Transactions of Nonferrous Metals Society of China Chinese Annals of Mathematics Series B Chinese Physics B