Synchronous Multi-splitting Two-stage TOR Methods for Systems of Weakly Nonlinear Equations
Mathematical Physics
2012-12-20 v1 math.MP
Abstract
For the large sparse systems of weakly nonlinear equations arising in the discretizations of many classical differential and integral equations, this paper presents a class of synchronous parallel multi-splitting two-stage two-parameter over-relaxation (TOR) methods for getting their solutions by the high-speed multiprocessor systems. Under suitable assumptions, we study the global convergence properties of these synchronous multi-splitting two-stage TOR methods.
Cite
@article{arxiv.1212.4746,
title = {Synchronous Multi-splitting Two-stage TOR Methods for Systems of Weakly Nonlinear Equations},
author = {Hwang Myong Gun},
journal= {arXiv preprint arXiv:1212.4746},
year = {2012}
}