Convergence of relaxed chaotic parallel iterative methods

Convergence of iterative methods applied to Burgers-Huxley equation

Convergence of the Iterative Methods

In a previous paper, we introduced a coordinate-splitting (CS) form of the equations of motion for multibody systems which together with a modiied nonlinear iteration (CM), is particularly eeective in the solution of certain nonlinear highly oscillatory systems. In this paper, we examine the convergence of the CS and CM iterations and explain the improved convergence of the CM iteration. An exa...

Convergence on successive over-relaxed iterative methods for non-Hermitian positive definite linear systems

*Correspondence: [email protected] 1School of Science, Xi’an Polytechnic University, Xi’an, Shaanxi 710048, China Full list of author information is available at the end of the article Abstract Some convergence conditions on successive over-relaxed (SOR) iterative method and symmetric SOR (SSOR) iterative method are proposed for non-Hermitian positive definite linear systems. Some examples are ...

Parallel S.O.R. iterative methods

New explicit group S.O.R. methods suitable for use on an asynchronous MIMD computer are presented for the numerical solution of the sparse linear systems derived from the discretization of two-dimensional , second-order, elliptic boundary value problems. A comparison with existing implicit line S.O.R. schemes for the Dirichlet model problem shows the new schemes to be superior (Barlow and Evans...

convergence of iterative methods applied to burgers-huxley equation