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 ...

With the spectral regularities, an N × N rational Toeplitz-plus-Hankel system can be solved by preconditioned iterative methods with O (N log N) operations. Numerical experiments are given to ...