期刊文献+

GMRES解法在大型河网数值计算中的应用 被引量:3

Application of GMRES algorithm in numerical computation of large-scale river network
下载PDF
导出
摘要 将基于稀疏矩阵通用的按行存储方法的广义最小化残差算法应用于大型河网数值计算中,使大型河网的节点编号更具任意性,只需保证节点编号前后的一致性,而无需优化节点编码.实例计算结果表明,该算法精确、高效. The general minimum residual algorithm (GMRES) based on the storage scheme by rows for an unstructured sparse matrix is applied to the numerical calculation of a large-scale river network. This algorithm helps the node number of the large-scale river network to be more arbitrary; the node number is not to be optimized and is only to keep consistent. Calculation results of an example show that the algorithm is accurate and efficient.
出处 《水利水运工程学报》 CSCD 北大核心 2003年第4期45-48,共4页 Hydro-Science and Engineering
关键词 非恒定流 河网 GMRES算法 稀疏矩阵 数值计算 unsteady flow river network GMRES algorithm sparse matrix numerical calculation
  • 相关文献

参考文献5

二级参考文献14

  • 1Alan G, Liu J. Computer Solution of Large Sparse Positive Definite Systems. New York:Prentice-Hall, 1981
  • 2Eisenstat S C, Walker H F. Choosing the Forcing Terms in an Inexact Newton Methods. SIAM J on Sci Comput, 1996, 17(1):16~32
  • 3Saad Y. Iterative Methods for Sparse Linear Systems. Boston:PWS Pub Co, 1996
  • 4Saad Y. ILUT:A Dual Threshold Incomplete Factorization. Numer Linear Algebra Appl, 1994, (1):387~402
  • 5Flueck A J, Chiang H D. Solving the Nonlinear Power Flow Equations with an Inexact Newton Method Using GMRES. IEEE Trans on Power Systems, 1998, 13(2):267~273
  • 6Chaniotis D, Pai M A. Application of a Modified GMRES Algorithm for Voltage Security Calculations. In:Bulk Power System Dynamics and Control IV-Restructuring. Santorini (Greece):1999
  • 7Saad Y, Schultz M H. GMRES:A Generalized Mininum Residual Algorithm for Solving Non-symmetric Linear Systems. SIAM J on Sci Statist Comput, 1986, (7):856~869
  • 8Alves A B, Asada E N, Monticelli A. Critical Evaluation of Direct and Iterative Methods for Solving Ax=b Systems in Power Flow Calculations and Contingency Analysis. IEEE Trans on Power Systems, 1999, 14(2):702~708
  • 9韩祯祥(Han Zhenxiang). 电力系统分析(Power System Analysis). 杭州:浙江大学出版社(Hangzhou:Zhejiang University Press),1993
  • 10Dembo R S, Eisenstat S C, Steihaug T. Inexact Newton Methods. SIAM J on Numer Anal, 1982, 19(2):400~408

共引文献147

同被引文献25

引证文献3

二级引证文献19

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