On the choice of expansion and weighting functions in the numerical solution of operator equations

摘要: One of the objectives this paper is to discuss mathematical requirements that expansion functions must satisfy in method moments (MM) solution an operator equation. A simple differential equation solved demonstrate these requirements. The second objective study numerical stability point matching method, Galerkin's and least squares. Pocklington's integral considered results are presented illustrate effect various choices weighting on rate convergence. Finally, it shown certain yield numerically acceptable even though they not admissible from a strictly view. reason for paradox outlined.