The Galerkin scheme for Lavrentiev’sm-times iterated method to solve linear accretive Volterra integral equations of the first kind |
| |
Authors: | Robert Plato |
| |
Institution: | 1. Fachbereich Mathematik, Technische Universit?t Berlin, Stra\e des 17. Juni 135, D-10623, Berlin, Germany
|
| |
Abstract: | In this paper, for the numerical solution of linear accretive Volterra integral equations of the first kind in Hilbert spaces
we consider the Galerkin scheme for Lavrentiev’sm-times iterated method, i.e., for each parameter choice for Lavrentiev’sm-times iterated method the arisingm stabilized equations are discretized by the Galerkin scheme. An associated discrepancy principle as parameter choice strategy
for this finite-dimensional version of Lavrentiev’sm-times iterated method is proposed, and corresponding convergence results are provided. |
| |
Keywords: | 65J20 65R30 45E10 45D05 |
本文献已被 SpringerLink 等数据库收录! |
|