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一族多步二阶导数方法的收缩性 被引量:1

THE CONTRACTILITY OF A CLASS OF SECOND DERIVATIVE MULTISTEP METHODS
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摘要 In this paper, a class of A (a)-contractive second derivative multistep methods for solving stiff ODE’s is constructed, in comparison with the Enright method of the same order, the contractivity properties and the stability properties of the former are better than of the latter and the former preserves other advantages of the latter. In this paper, a class of A (a)-contractive second derivative multistep methods for solving stiff ODE's is constructed, in comparison with the Enright method of the same order, the contractivity properties and the stability properties of the former are better than of the latter and the former preserves other advantages of the latter.
机构地区 湘潭大学数学系
出处 《计算数学》 CSCD 北大核心 2001年第3期265-270,共6页 Mathematica Numerica Sinica
基金 国家自然科学基金资助项目(19571067).
关键词 刚性微分方程 初值问题 常微分方程 二阶导数方法 收缩性 Enright方法 stiff differential equations, Enright method, contractivity
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  • 1徐洪义,工科数学,1988年,4期,8页
  • 2徐洪义,计算数学,1985年,4期,415页
  • 3包雪松,常微分方程离散变量方法,1985年
  • 4赵双锁,兰州大学学报,1990年,26卷,2期,28页
  • 5赵双锁,兰州大学学报,1984年,20卷,专号,93页
  • 6李寿佛,湘潭大学自然科学学报,1984年,2期,1页
  • 7Olavi Nevanlinna,Werner Liniger. Contractive methods for stiff differential equations Part II[J] 1979,BIT(1):53~72
  • 8Olavi Nevanlinna,Werner Liniger. Contractive methods for stiff differential equations part I[J] 1978,BIT(4):457~474
  • 9Colin W. Cryer. A new class of highly-stable methods:A 0-stable methods[J] 1973,BIT(2):153~159
  • 10匡蛟勋,项家祥.一类修正的BDF方法[J]计算数学,1987(04).

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同被引文献9

  • 1LAMBERT J D. Nonlinear methods for stiff system of ordinary differential equation[A].Springer-verlag,1974.75-88.
  • 2LINIGER W,NEVALINNA O. Contractive methods for stiff differential equations Part Ⅰ[J].BIT,1978.457-474.
  • 3LINIGER W,NEVALINNA O. Contractive methods for stiff differential equations Part Ⅱ[J].BIT,1979.53-72.
  • 4ENRIGHT E H. Second dervative multistep methods for stiff ordinary differential equations[J].SIAM Journal on Numerical Analysis,1974,(02):321-331.
  • 5AZIZ A K,MONK D. Continuous finite elements in space and time for the heat equation[J].Mathematics of Computation,1969.255-274.
  • 6DAVID C L.Linear Algebra and Its Applications[M]北京:电子工业出版社,2004.
  • 7WILLD D R. Experiments in stepsize control for adams linear multistep methods[J].Advancs in Computatkraal Mathematics,1998.335-344.
  • 8杨小远,张凯,唐文琦,魏华.基于抛物线逼近法方法的常微分方程数值解法研究[J].河南科学,2011,29(2):127-132. 被引量:1
  • 9张宇平,姜晗,朱爱玲.常微分方程的梯形外推法[J].山东师范大学学报(自然科学版),2012,27(1):29-31. 被引量:3

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