| 一类k步2k＋1阶刚性稳定的二阶导数方法 |
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| 引用本文： | 王雷,吴新元. 一类k步2k＋1阶刚性稳定的二阶导数方法[J]. 南京大学学报(自然科学版), 2006, 23(1): 149-156 |
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| 作者姓名： | 王雷 吴新元 |
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| 作者单位： | 南京大学数学系，南京大学数学系 南京 210093，南京 210093 |
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| 摘 要： | 本文导出新的二阶导数线性多步法,这些方法适合于求解刚性方程组,方程的稳定域由根轨迹法给出,数值试验显示方法是行之有效的．
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| 关 键 词： | 二阶导数线性多步法 绝对稳定性区域 刚性稳定性 刚性系统 |
| 修稿时间： | 2005-06-29 |
A CLASS OF STIFFLY STABLE K-STEP SECOND DERIVATIVE METHODS OF ORDER 2K+1 |
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| Wang Lei,Wu Xinyuan. A CLASS OF STIFFLY STABLE K-STEP SECOND DERIVATIVE METHODS OF ORDER 2K+1[J]. Journal of Nanjing University: Nat Sci Ed, 2006, 23(1): 149-156 |
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| Authors: | Wang Lei Wu Xinyuan |
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| Abstract: | In this paper, we present a new class of second derivative multistep methods. These formulas are shown to be suitable for stiff system of ordinary differential equations. The stability regions of these new methods are plotted. Numerical experiments are carried out to show strong performance of these methods. |
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| Keywords: | second derivative multistep methods region of absolute stability stiffly stable stiff system |
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