Extending convergence of BDF methods for a class of nonlinear strongly stiff problems

[摘要] In 1995, a new approach was presented to overcome the drawbacks of existing convergence theory for stiff initial value problems by Auzinger et al. (BIT 36 (4) (1996) 635-652), and illustrated by means of a convergence argument for the implicit Euler scheme. In the present paper, our indention is to obtain extending quantitive convergence results of BDF methods for a class of nonlinear strongly stiff problems and to illustrate further this new approach. Some numerical examples confirm our results. (C) 2000 Elsevier Science B.V. All rights reserved. MSG: 34A65; 65L05; 65L07.

[发布日期] 2000-12-30

[关键词] stiff problems;BDF methods;convergence