| A CLASS OF r-POINT (r+1)ST-ORDER A-STABLE ONE-BLOCK METHODS WITH DAMPING AT THE INFINITE POINT |
| |
| 作者姓名： | 赵双锁 张国风 |
| |
| 作者单位： | Dept. of Inform. and Comput. Sci.，Dept. of Math. The Second Northwest University for Nationalities，Yinchunan 750021，PRC，Lanzhou University，Lanzhou 73000，PRC |
| |
| 基金项目： | SupportedbytheNationalNaturalScienceFoundationofChina 91 9671 0 39) . |
| |
| 摘 要： | 1 ＩｎｔｒｏｄｕｃｔｉｏｎＦｏｒｓｏｌｖｉｎｇｓｔｉｆｆｉｎｉｔｉａｌｖａｌｕｅｐｒｏｂｌｅｍｓｆｏｒｓｙｓｔｅｍｓｏｆＯＤＥｓｙ′=ｆ(ｙ) ,ｙ(ｔ0 ) =ｙ0 ,ｔ0 <ｔ≤Ｔ ,ｙ0 ,ｙ∈Ｒｍ,ｆ :Ω Ｒｍ →Ｒｍ (1 .1 )ｍａｎｙｐａｒｔｉｃｕｌａｒｏｎｅ ｂｌｏｃｋｍｅｔｈｏｄｓｏｆｔｈｅｆｏｒｍＹｎ+1= ＡＹｎ+ｈ( Ｂ0 Ｆ(Ｙｎ) + Ｂ1Ｆ(Ｙｎ+1) ) , Ａ =Ａ Ｉｍ, Ｂｉ=Ｂｉ Ｉｍ,Ａ ,Ｂｉ∈Ｒｒ×ｒ,Ｙｎ =(ＹＴｎｒ,… ,ｙＴ(ｎ+1)ｒ- 1) Ｔ,Ｆ(Ｙｎ) =(ｆＴ(ｙｎｒ) ,… ,ｆＴ(ｙ(ｎ+1)ｒ- 1) ) Ｔ,ｙｊ≈ ｙ(ｔｊ) ,…
|
A CLASS OF r-POINT(r+1)ST-ORDER A-STABLE ONE-BLOCK METHODS WITH DAMPING AT THE INFINITE POINT |
| |
| Zhao Shuangsuo Zhang Guofeng Dept. of Inform. and Comput. Sci.,The Second Northwest University for Nationalities,Yinchunan ,PRCDept. of Math.,Lanzhou University,Lanzhou ,PRC..A CLASS OF r-POINT (r+1)ST-ORDER A-STABLE ONE-BLOCK METHODS WITH DAMPING AT THE INFINITE POINT[J].Numerical Mathematics A Journal of Chinese Universities English Series,2002,11(2):161-178. |
| |
| Authors: | Zhao Shuangsuo Zhang Guofeng Dept of Inform and Comput Sci The Second Northwest University for Nationalities Yinchunan PRCDept of Math Lanzhou University Lanzhou PRC |
| |
| Institution: | 1. Dept. of Inform. and Comput. Sci. , The Second Northwest University for Nationalities, Yinchunan 750021, PRC
2. Dept. of Math. , Lanzhou University, Lanzhou 73000, PRC |
| |
| Abstract: | This paper presents a class of r-point (r+1)st-order A-stable one-block methods with damping at the infinite point (DIAOB r,r+1 ). Under the conditions of the same order, A-stability, operation count (at each iterative step) and storage space are the same as the methods in , the methods in the paper improve the stability in a neighborhood at the infinite point. And, by using the OOPI method , it possesses much faster rate of convergence for solving systems of nonlinear equations produced by the DIAOB r,r+1 . |
| |
| Keywords: | one-block method stiff problem A-stability damping at infinite point |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
