|
|||||
|
|
On the instability of high order backward-difference multistep methods |
|
| Authors: | Colin W. Cryer |
| Affiliation: | 1. Computer Sciences Department, University of Wisconsin, 1210 West Dayton Street, 53706, Madison, Wisconsin, U.S.A. |
| Abstract: | It is shown that the backward difference multistep method $$mathop Sigma limits_{m = 1}^q frac{1}{m}nabla ^m y_p = hf_p$$ for the numerical integration ofy′(x)=f(x, y) is stable in the sense of Dahlquist iff 1≦q≦6. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |