We analyze a heuristic numerical method suggested by V.I. Petviashvili in 1976 for approximation of stationary solutions of nonlinear wave equations. The method is used to construct numerically the ...

Abstract. We study the convergence analysis of a Picard-S iterative method for a particular class of weak-contraction mappings and give a data dependence result for fixed points of these mappings.

Matrix splitting iteration methods have emerged as potent tools in addressing complementarity problems, which frequently arise in optimisation, economics and engineering applications.