参考文献/References:
[1] 苏煜城, 吴启光. 偏微分方程数值解法 [M]. 北京:气象出版社, 1989.4-7, 58-60.
[2] 余德浩, 汤华中. 偏微分方程数值解法 [M]. 北京:科学出版社, 2004.106-109.
[3] 杨情民. 解抛物型方程的一族显格式 [J]. 高等学校计算数学学报, 1981(4):306-317.
[4] 曾文平. 抛物型方程的一族双参数高精度恒稳差分格式 [J]. 华侨大学学报(自然科学版), 2002(4):327-331.doi:10.3969/j.issn.1000-5013.2002.04.001.
[5] MILLER J J H. On the location of zeros of certain classes of polynomials with application to numerical analysis [J]. Journal of the Institute of Mathematics and Its Applications, 1971(3):394-406.
[6] RICHTMYER R D, MORTON K W. Difference method for initial-value problems [M]. New York:wiley, 1967.
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