期刊文献+

热传导方程有限差分区域分裂显—隐算法的注记 被引量:7

A Note on Explicit-Implicit Algorithms of Finite Difference Domain Decomposition for the Heat Equation
全文增补中
导出
摘要 把Rodrigue和Wolitzer(1995)提出的一种新型显格式应用于热传导方程有限差分区域分裂算法的内边界点,并得到这类显—隐算法的收效性结果。新算法的逼近阶较好,而且较纯新型显式方法可以节省一倍左右的计算量。 An explicit scheme of new type developed by Rodrigue and Woltizer (1995) is used to the interface points computation for the finite difference domain decomposition algorithms for the heat equation, the result of convergence of such explicit-implicit algorithm is also obtained in the note. The approximation order of the new algorithm is better,and theoritical speedup is about 2 when comparing the new algorithm with that by Rodrigue and Woltizer.
作者 张宝琳
出处 《航空计算技术》 1998年第3期51-54,共4页 Aeronautical Computing Technique
基金 国家自然科学基金!19571012 中物院基金!980676
关键词 热传导方程 有限差分 区域分裂 并行计算 Heal equation Finite difference method Domain decomposition Parallel computing
  • 相关文献

同被引文献26

  • 1王文洽.色散方程的一类新的并行交替分段隐格式[J].计算数学,2005,27(2):129-140. 被引量:21
  • 2李长峰.一般抛物方程的区域分裂差分方法[J].工程数学学报,2005,22(3):547-550. 被引量:3
  • 3EVANS D J. Alternating group explicit method for the diffusion equations[J]. Appl Math Modeling, 1985, 19:201-206.
  • 4ZHANG B L, LI W Z. On ahemating segment Crank-Nicolson scheme[J]. Parallel Comput, 1994(20) :897-902.
  • 5ZHANG B L, SU X M. Alternating segment Crank-Nicoison scheme [ J ]. Comp Phys, 1995 (12) : 115-120.
  • 6ZHANG B L. Difference graphs of block ADI method[J]. SIAM J Numer Anal, 2000(38) :742-752.
  • 7DAWSON C N, DU Q, DUPONT T F. A finit difference domain decomposition algorithm for numerical solution of the heat equation[J]. Math Comp, 1991(57) :63-71.
  • 8ZHU S H, YU Z L, ZHAO Jennifer. A high-order parrallel finite difference algorithm[J]. J Math comp, 2006(183):365-372.
  • 9DU Q, MU M, WU Z N. Efficient parallel algorithms for parabolic problems[J]. SIAM J Numer Anal, 2001(39):1469-1487.
  • 10SHENG Z Q, YUAN G W, HANG X D. Unconditional stability Of parallel difference schemes with second order accuracy for parabolic equation[J]. Appl Mafia Comp, 2007(184):1015-1031.

引证文献7

二级引证文献39

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部