Title :
About numerical solution of some integral equations of the first kind. — II. projection methods
Author :
Polishchuk, Alexander D.
Author_Institution :
Pidstryhach Inst. for Appl. Problems in Mech. & Math., Lviv, Ukraine
Abstract :
Optimal approximations of the Hilbert spaces where determined the operators of integral equations of the first kind equivalent to bilateral Dirichlet and Neumann problems for the Laplacian in R3 for tired boundary surface were construct in [1]. In this article the projection methods for solving of these equations are investigated.
Keywords :
approximation theory; integral equations; Hilbert spaces; Neumann problems; bilateral Dirichlet problems; integral equations; numerical solution; optimal approximations; tired boundary surface; Convergence; Equations; Integral equations; Laplace equations; Least squares approximation; Moment methods;
Conference_Titel :
Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED), 2012 XVIIth International Seminar/Workshop on
Conference_Location :
Tbilisi
Print_ISBN :
978-1-4673-2253-9