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| 对stiff和高振荡常微分方程组的数值解一文的改善 | |
| 引用本文： | 张光裕. 对stiff和高振荡常微分方程组的数值解一文的改善[J]. 四川师范大学学报(自然科学版), 1991, 0(3) |
| 作者姓名： | 张光裕 |
| 作者单位： | 西南石油学院 南充市 |
| 摘 要： | 本文利用求解 sliff 常微分方程组只计算函数值的一类 L-稳定显式单步法的结果,针对 stiff 和高振荡微分方程组提出一种改善的数值积分公式,并且讨论了它的 L-稳定性和收敛性,以及局部和整体截断误差的估计. |
| 关 键 词： | 超接触插值 L-稳定性 局部截断误差 整体截断误差 |
AN IMPROVEMENT ON NUMERICAL INTEGRATIONS FOR STIFF AND HIGHLY OSCILLATORY DIFFERENTIAL-EQUATIONS |
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| Zhang Guangyu Southwest Petroleum Institute,Nanchong ,Sichuan.. AN IMPROVEMENT ON NUMERICAL INTEGRATIONS FOR STIFF AND HIGHLY OSCILLATORY DIFFERENTIAL-EQUATIONS[J]. Journal of Sichuan Normal University(Natural Science), 1991, 0(3) | |
| Authors: | Zhang Guangyu Southwest Petroleum Institute Nanchong Sichuan. |
| Affiliation: | Zhang Guangyu Southwest Petroleum Institute,Nanchong 637001,Sichuan. |
| Abstract: | Using results a class of L-stable explicit one step method only requiring the evaluation of function f(x,y)for solving stiff systems of ordinary defferential equations,an improvement on numerical integration for stiff and highly oscillatory differential equations is suggested in this paper.Its L-stabilty and convergence are discussed.A bound for the local and global truncation error is obtained respectively. |
| Keywords: | supur-osculatory intepolation L-stability local truncation error global truncation error |
| 本文献已被 CNKI 等数据库收录！ | |