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多步龙格-库塔方法的τ_1-稳定性 被引量:3

τ_1-stability of multistep Runge-Kutta methods
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摘要 分析了标量延迟微分方程系统渐近稳定性的不同条件 ,给出了与延迟量τ有关及不依赖于延迟量τ的不同渐近稳定域 .在渐近稳定域与τ有关的条件下 ,对多步龙格 库塔方法的渐近稳定性进行了分析 ,定义了一种新的数值稳定性 ,即τ1 稳定性 ,在不同的条件下 。 This paper dealt with the stability conditions for the solution of delay differential equations, and gained different regions of asymptotic stability being independent or dependent of the value of τ. Under the condition making the stability regions are dependent of τ, the asymptotic stability of multistep Runge-Kutta methods called τ 1-stability, was investigated. It was proved that multistep Runge-Kutta method is stable under different conditions.
出处 《华中科技大学学报(自然科学版)》 EI CAS CSCD 北大核心 2002年第8期101-103,共3页 Journal of Huazhong University of Science and Technology(Natural Science Edition)
基金 国家自然科学基金资助项目 ( 6 9974 0 1 8)
关键词 延迟微分方程 多步龙格库塔法 τ1-稳定性 初值问题 稳定域 delay differential equations multistep Runge-Kutta methods τ 1-stability initial value problems stability regions
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二级参考文献17

  • 1J. X. Kuang,J. X. Xiang,H. J. Tian.The asymptotic stability of one-parameter methods for neutral differential equations[J]. BIT . 1994 (3)
  • 2T. Koto.A stability property ofA-stable natural Runge-Kutta methods for systems of delay differential equations[J]. BIT . 1994 (2)
  • 3BickartTA.P stableandP[α ,β] stableintegration/interpolationmethodsinthesolutionofretardeddifferential differenceequations. Borsa Internazionale del Turismo . 1982
  • 4LiuMZ,SpijkerMN.TheStabilityofthe:θ-MethodsintheNumericalSolutionofDelayDifferentialEquations.IMANumer. Anales . 1990
  • 5BellenA,JackiewiczZ,ZennaroM.Stabilityanalysisofone stepmethodsforneutraldelay differentialequations. Numerical Mathematics . 1988
  • 6Li,S .F.B ConvergencepropertiesofmultistepRungeKuttamethods,Math. Computer . 1994
  • 7Lancaster P,Tismenetsky M.The theory of matrices. . 1985
  • 8Hale,J K,Verduyn Lunel,S M. Introduction to Functional Differential Equations . 1993
  • 9Koto,T.AstabilitypropertyofA stablenaturalRungeKuttamethodsforsystemsofdelaydifferentialequations. Borsa Internazionale del Turismo . 1994
  • 10In’tHout,K .J.StabilityanalysisofRungeKuttamethodsforsystemsofdelaydifferentialequations,IMAJ. Numerical Analysis . 1997

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