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 ...
Taiwanese Journal of Mathematics, Vol. 16, No. 5 (October 2012), pp. 1681-1705 (26 pages) Abstract In this paper, we study the problem of finding a common element of the set of fixed points of a ...