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Laplace变换的代数数值反演方法 被引量:4

ALGEBRAIC NUMERICAL INVERSION OF LAPLACE TRANSFORM
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摘要 This is a paper formulated numerical inversion of Laplace transform with alge-bra method. The formulation is simple for calculation and has the form of Gauss numerical integration. It is a practical numerical inversion with high exactitude which can be applied for extensive use. This is a paper formulated numerical inversion of Laplace transform with alge-bra method. The formulation is simple for calculation and has the form of Gauss numerical integration. It is a practical numerical inversion with high exactitude which can be applied for extensive use.
作者 戴煜
出处 《数值计算与计算机应用》 CSCD 北大核心 2001年第4期281-285,共5页 Journal on Numerical Methods and Computer Applications
关键词 LAPLACE变换 自动控制 数值反演方法 积分 transform numerical inversion method
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参考文献2

  • 1Piessens R,J Comput Appl Math,1975年,11卷,115页
  • 2窦志 G,拉普拉斯变换的理论和应用导论,1966年

同被引文献22

  • 1赵鹏君.Laplace变换数值反演的DFT法[J].数学的实践与认识,1996,26(2):7-17. 被引量:3
  • 2Eringen A C, Suhubi E S. Elastodynamics,Vol2. New-York:Academic Press, 1975
  • 3Dominguez and Alarcon. Elastodynamics, in Progress in Brebbia C. A. ed. Boundary Element Methods, Vol 1. London: Pentech Press, N. Y.: HalstendPress, 1981
  • 4Manolis G D, Beskos D E. Boundary Element Methods in Elastodynamics. London: Unwin Hyman, 1988
  • 5Cruse T A. A direct formulation and numerical solution of the general transient elastodynamics problem. I J Math Anal Appl, 1968,(22):244-259
  • 6Cruse T A. A direct formulation and numerical solution of the general transient elastodynamics problem,II.J Math Anal Appl,1968,(22):341-355
  • 7Li Kaihai, Zhu Jialin. Boundary Element Methods with Domain Decomposition Method for Elastodynamics. Chinese J Num Math Appl,2001,(23):43-55
  • 8Stehfest H. Numerical inversion of Laplace transform-algorithm 368[J], Comm. Assoc. Compt. , 1970, 13 (1): 47-49.
  • 9Durbin F. Numerical inversion of Laplace transforms: an efficient improvement to Duber and Abate's method[J], the Computer Journal, 1974, 17 (4):371-376.
  • 10Weeks W T. Numerical inversion of Laplaee transforms using Laguerre functions[J]. J. ACM. , 1966, 13: 419-426.

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