MULTISTEP DISCRETIZATION OF INDEX 3 DAES

• 来源期刊: 计算数学（英文版）
• 关键词: Multistep methods Adams method BDF DAEs Index 3
• 年，卷（期）: 2000,（3）
• 页码范围: 325-336
• 页数: 12页
• 语种: 英文

摘要

In the past Index-3 DAEs were solved by BDF methods as multistep methods or implicit Runge-Kutta methods as one-step methods. But if the equations are nonstiff, not only BDF but other multistep methods may be applied. This paper considers four different types of multistep discretization of index 3 DAEs in hes-senberg form. The convergence of these methods is proven under the condition that the multistep formula is striculy infinite stable. numerical tests also confirm the results.