Introductory course on using a range of finite-difference methods to solve initial-value and initial-boundary-value problems involving partial differential equations. The course covers theoretical ...

SIAM Journal on Applied Mathematics, Vol. 48, No. 6 (Dec., 1988), pp. 1227-1243 (17 pages) The aim of this paper is to contribute to the foundation of the asymptotic methods for initial-boundary value ...

Based on the approximation of the linear operator semigroup, this paper proposes a simplified viscosity splitting method for solving the initial boundary value problems of the N-S equation. Some ...