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 ...

Boundary value problems (BVPs) and partial differential equations (PDEs) are critical components of modern applied mathematics, underpinning the theoretical and practical analyses of complex systems.

This is a preview. Log in through your library . Abstract This paper deals with the stability analysis of one-step methods in the numerical solution of initial (-boundary) value problems for linear, ...

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 ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...