The Multi-Grid Method of the Second Kind

Multi-grid methods were first developed for elliptic boundary value problems. However, a two-grid iteration closely related to a multi-grid algorithm for integral equations of the second kind (which we call a multi-grid iteration of the second kind) is already described in 1960 by Brakhage [1]. Abramov [1] and Sisov [1] also describe algorithms for integral eigenvalue problems that approach the two-grid idea. Atkinson [1, 2] took up the idea of Brakhage and developed automatic programs for linear integral equations.