| 具有高精度大稳定域的二阶导数方法及其Stiff稳定性 |
| |
| 引用本文： | 吴新元.具有高精度大稳定域的二阶导数方法及其Stiff稳定性[J].南京大学学报(自然科学版),1991,27(4):791-803. |
| |
| 作者姓名： | 吴新元 |
| |
| 作者单位： | 南京大学数学系 |
| |
| 摘 要： |
|
| 关 键 词： | Stiff方程组 数值分析 二阶导数法 |
STIFFLY STABLE PROPERTIES OF SECOND DERIVATIVE MULTISTEP METHODS WITH HIGHER ORDER AND IMPROVED STABILITY REGIONS |
| |
| Wu Xinyuan.STIFFLY STABLE PROPERTIES OF SECOND DERIVATIVE MULTISTEP METHODS WITH HIGHER ORDER AND IMPROVED STABILITY REGIONS[J].Journal of Nanjing University: Nat Sci Ed,1991,27(4):791-803. |
| |
| Authors: | Wu Xinyuan |
| |
| Institution: | Department of Mathematics |
| |
| Abstract: | Enright proposed and constructed a class of stiffly stable second derivative multistep methods with k-step (k+2)nd order in 1974. After that, some authors worked on improving accuracy and stability regions. This paper studies this class of methods systematically, develops some theoretical results and offers a class of stiffly stable second derivative multistep methods with k-step (2k+1)nd or (2k)nd order. These new methods possess far larger regions of absolute stability and higher order than that of Enright's and they suggest their use especially for solving initial value problems of a system of stiff ordinary differential equations. |
| |
| Keywords: | stiff systems second derivative multistep methods numerical analysis |
| 本文献已被 CNKI 维普 等数据库收录！ |
