Lecture WS 25/26 Wissenschaftliches Rechnen I / Scientific Computing I
Overview
Scientific Computing is a discipline of applied mathematics dealing with techniques and algorithms to numerically solve problems arising in e.g. engineering, natural sciences, or economics. In this course, we will mainly address techniques to solve (elliptic) partial differential equations. The content of the lecture will be practised and applied in the tutorials.
Contents and Prerequisites
Topics (see also module handbook) will be a (short) introduction to modelling with partial differential equations, finite differences, theory of weak solutions and the finite element method. We will discuss theoretical aspects as well as how to implement the main ingredients of these methods.
Some content from the basic and introductory courses to anlysis and numerics will be used, e.g. partial derivatives, (Lebesgue) integration in multiple dismensions, polynomial approximation, numerical quadrature. Basic programming knowledge will be assumed.
eCampus
Further information will be provided on eCampus in due time.