This article is cited in 3 papers

A method to cut convex polyhedrons and its application to ill-posed problems

V. N. Titarenko, A. G. Yagola

Lomonosov Moscow State University, Faculty of Physics

Abstract: We first consider linear ill-posed problems on compact sets of a special structure. Second, two approaches based on the method to cut convex polyhedrons for estimation of an error of an approximate solution are proposed. Finally, the domain the exact solution of the inverse problem for the heat conduction equation belongs to is constructed.

Keywords: ill-posed problems, error estimation, method to cut convex polyhedrons, heat conduction equation.

UDC: 519.6