### Chapter the Semi Discrete Approach

Physics Literature

Excerpt: One strategy for obtaining difference approximations to a PDE is to start by differencing the space derivatives only without approximating the time derivative. In the following chapters we proceed with an analysis making considerable use of this concept which we refer to as the semi discrete approach ? referencing the space derivatives converts the basic PDE into a set of coupled ODEs. In the most general notation these ODEs would be expressed in the form ...