Title :
A note on discrete waveform relaxation of stiff index-1 differential algebraic equations & symposia
Author :
Wei Sun ; Xiao-Guang Fan
Author_Institution :
Basic Res. Dept., XIJING Univ., Xian, China
Abstract :
The paper studies the discrete waveform relaxation processes based on Runge-Kutta methods for solving stiff differential-algebraic systems of index-1. The new convergence results are obtained, which are relevant in applications to nonlinear stiff differential-algebraic systems of index-1. The existence and uniqueness of the solutions are derived.
Keywords :
Runge-Kutta methods; convergence of numerical methods; differential algebraic equations; nonlinear differential equations; Runge-Kutta methods; convergence results; discrete waveform relaxation; nonlinear stiff differential-algebraic systems; stiff index-1 differential algebraic equations; symposia; Convergence; Differential equations; Equations; Mathematical model; Numerical stability; Relaxation methods; Zinc;
Conference_Titel :
Control and Automation (ICCA), 2013 10th IEEE International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-4673-4707-5
DOI :
10.1109/ICCA.2013.6564860
