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隐式Runge-Kutta方法的(D,λ)-适定性(英文) 被引量:2

(D,λ)-Suitability of Implicit Runge-Kutta Methods
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摘要 本文绘出了(D,λ)一适定性条件,该条件保证了隐式Runge-Kutta方法在求解Hilbert空间中的初值问题所产生的方程的解的存在性与唯一性,并且该方法先前的某些相应结果成为本文的特殊情形。 The conditions of (D, λ)-suitabitity are given that guarantee exixtence and uniqueness of solutions to the e,uations arising in the applicatlon of implicit Runge-Kutta methods to the initial value problems in a Hilbert space,and some re-sults about these methods become special cases of ours.
出处 《应用数学》 CSCD 1999年第2期44-48,共5页 Mathematica Applicata
关键词 适定性 初值问题 RUNGE-KUTTA法 隐式 存在性 (D, λ) -suitability, Runge-Kutta methods, initial value problems
  • 相关文献

参考文献5

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同被引文献12

  • 1Huang Cheng-ming.Numerical analysis of nonlinear delay differential equations[D].Ph.D.Thesis.Graduate School of china Academy of Engineering Physics.1999. 被引量:1
  • 2G.D.Hu,T.Mitsui.Stability analysis of numerical methods for systems of neutral delay-differential equations[J].B1T,1995,35:504-515. 被引量:1
  • 3Huang chengming,Fu Hongyuan,Li Shoufu,Chen Guangnan.Stability analysis of Runge-Kutta methols for non-linear delay differential equations[J].B1T,1999,39:270-280. 被引量:1
  • 4Zhang Chengjian,Liao Xiaoxin.Asymptotic behavior of multi step Runge-Kutta methods for systems of delay differential equations[J].Acta Mathematice Applicatae Sinica,2001,17(2):240-260. 被引量:1
  • 5TIAN H.J.KUANG J.X.The stability of the θ-methods in the numerical solution of delay differential equations with several delay terms[J].comput.appl.math,1995,58:171-181. 被引量:1
  • 6HUANG CHENG-MING. Numerical analysis of nonlinear delay differential equations[D]. China Academy of Engineering Physics, 1999. 被引量:1
  • 7HU G D, MITSUI T. Stability analysis of numerical methods for systems of neutral d elay-differential equations[J]. BIT, 1995,35:504-515. 被引量:1
  • 8HUANG CHENG MING ,FU HONGYUAN, LI SHOUFU, et al. Stability analysis of Runge-Kutta methols for non-linear delay differential equations[J]. BIT, 1999,39: 270-280. 被引量:1
  • 9ZHANG CHENGJIAN, LIAO XIAOXIN. Asymptotic behavior of multi step Runge-Kutta methods for systems of delay differential equations[J]. Acta Mathematice Applicatae Sinica, 2001, 17(2):246-260. 被引量:1
  • 10TIAN H J, KUANG J X. The stability of the θ-methods in the numerical solution of delay differential equations with several delay terms[J]. J comput appl math, 1995, 58:171-181. 被引量:1

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