| Richardson外推法的证明及其在数值计算中的应用 |
| |
| 摘 要： | 本文给出 Richardson 外推法在理论上的—个新证明;并编制出外推法用在计算数值积分和微积分方程初值问题数值解上新的通用算法.实际计算表明新算法具有算量少、收敛快、精度高等特点.
|
| 关 键 词： | Richardson 外推法 Romberg 算法 初值问题外推算法 |
Demonstration of Richardson's Extrapolation Method and Its Application in Numerical Calculation |
| |
| Authors: | Zhan Tongsheng |
| |
| Institution: | Zhan Tongsheng |
| |
| Abstract: | The article gives a new demonstration of Richardson's Extrapolation Method in theory and draws up a new general algorithm when extrapolation method is used in the numerical solution to initial value problems of calculation of numerical integral and differential equa- tions.The real calculation shows that the new algorithm has features of less calculating amount,quick convergence and precision. |
| |
| Keywords: | Richardson's Extrapolation Romberg's Algoritm Extrapolation Calculation of Initial Value Problems |
| 本文献已被 CNKI 等数据库收录！ |
