Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9506443 | Applied Mathematics and Computation | 2005 | 18 Pages |
Abstract
This paper investigates a few forms of Runge-Kutta methods based on dynamic iteration for index-2 differential-algebraic equations. In particular, the convergence of iterative Runge-Kutta methods is proven for the complex systems. The iterative processes allow implementation with different meshes, which can help improve the accuracy and the stability properties of the proposed method. Finally, the iterative schemes how to appropriately implement on the parallel computers are also involved.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Wei Sun, Yao-Lin Jiang,