| 一类k步k+2阶解刚性微分方程的混杂法 |
| |
| 引用本文： | 李亮.一类k步k+2阶解刚性微分方程的混杂法[J].武汉大学学报(理学版),2000,46(1):16-18. |
| |
| 作者姓名： | 李亮 |
| |
| 作者单位： | 武汉大学数学与计算机科学学院,武汉,430072 |
| |
| 摘 要： | 构造了一类带参数的k步k+2阶混杂方法，讨论了该方法的稳定性质．并给出了与其等价的二阶导数方法．数值实例说明，这类方法更适合求解非线性Stiff问题，对高震荡问题亦会更有效．
|
| 关 键 词： | 混杂法 Stiff-稳定 A-稳定性 |
| 文章编号： | 0253-9888(2000)01-0016-03 |
| 修稿时间： | 1999-05-03 |
A Class of k-step (k+2) Order Hybrid Methods for Solving Problems of Stiff ODEs |
| |
| LI Liang.A Class of k-step (k+2) Order Hybrid Methods for Solving Problems of Stiff ODEs[J].JOurnal of Wuhan University:Natural Science Edition,2000,46(1):16-18. |
| |
| Authors: | LI Liang |
| |
| Institution: | LI Liang ;
(College of Mathematics and Computer Science,Wuhan University, Wuhan 430072,China) |
| |
| Abstract: | In this paper,a class of k-step, (k 2)-st order hybrid method for solving problems of stiff ODEs is constructed and its stability properties are discussed. The methods are proved to be A-stable for k = 1, 2 and stiffly stable for k=4, ..., 8. In implementation by Newton iteration, our methods are more efficient for solving non-linear stiff problems. Finally, some numerical results are presented. |
| |
| Keywords: | hybrid method stiff problem A-stability |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
