Mathematical approaches for numerically solving partial differential equations. The focus will be (a) iterative solution methods for linear and non-linear equations, (b) spatial discretization and ...

Methods for solving symmetric indefinite systems are surveyed including a new one which is stable and almost as fast as the Cholesky method. Journal Information SIAM Journal on Numerical Analysis ...

SIAM Journal on Numerical Analysis, Vol. 34, No. 1 (Feb., 1997), pp. 178-200 (23 pages) The purpose of this paper is to develop a convergence theory for multigrid methods applied to nearly singular ...