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一类基于Pad逼近的局部解析差分格式

黄铎   

  1. 中国科学院计算中心
  • 出版日期:1983-04-14 发布日期:1983-04-14

黄铎. 一类基于Pad逼近的局部解析差分格式[J]. 计算数学, 1983, 5(4): 444-449.

A FAMILY LOCAL ANALYTICAL DIFFERENCE SCHEMES BASED ON PAD APPROXIMATION

  1. Huang Duo Computing Center, Academia Sinica
  • Online:1983-04-14 Published:1983-04-14
提出一类基于Pade逼近的局部解析差分格式,并分析此类格式的截断误差、稳定性、单调性及自调性.同时简略叙述实际计算时的几点考虑.
In this paper, we haye proposed a family local analytical difference schemes based onPade approximation for diffusion-convection equation with constant coefficients, and provedits stability, monotonic and self-adjusting. Finally, we proposed considerations of actual ca-lculation.
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[1] R. L. Roach, A consistent finite difference derivation for the Navier-Stokes Equations, AIAA Paper, 82--0102.
[2] R. D. Richtmyer, K. W. Morton, Defference Methods for Initial-Value Problems, Second Edition, 1967.
[3] R. S. Varga, Matrix Iterative Aralysis, 1962.
[4] B. L. Ehle, A-stable methods and Pade approximations.to the exponential. SIAM Mathematical analysis, 4: 4(1973) , 671--680.
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