Title: Error analysis of Parallel Multivalue Hybrid Methods for index-2 Differential-Algebraic Equations
Authors: Aiguo Xiao, Jialan Liu
Addresses: School of Mathematics and Computational Science, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, Hunan 411105, PR China. ' School of Mathematics and Computational Science, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, Hunan 411105, PR China
Abstract: The main purpose of this paper is to present some convergence results of a class of Parallel Multivalue Hybrid Methods (PMHMs) for semi-explicit index-2 differential-algebraic equations. Some numerical examples confirm our theoretical results and show that the computed orders of the 2-step 2-order PMHM (PMHM2) and the 3-step 3-order PMHM(PMHM3) are higher than the corresponding theoretical orders and the corresponding computed orders of the 2-step 2-order BDF method and the 3-step 3-order BDF method. This interesting phenomenon is due to the apparently smaller residual error constants of PMHM2 and PMHM3 than those of the corresponding BDF methods.
Keywords: differential algebraic equations; DAEs; index 2; parallel multivalue hybrid methods; PMHMs; convergence; error analysis.
International Journal of Computing Science and Mathematics, 2008 Vol.2 No.1/2, pp.181 - 199
Published online: 25 Jul 2008 *Full-text access for editors Access for subscribers Purchase this article Comment on this article