Lecture "Numerical Analysis of Differential Equations" (WS 2025/2026)
Jun.-Prof. Dr. Mira Schedensack
Universität Leipzig
Fakultät für Mathematik und Informatik
Mathematisches Institut
Participants:
This lecture is suitable for students in mathematics
(Bachelor, Master, Diploma) and in mathematical physics
with the standard knowledge from the introductory lectures
and functional analysis. It is possible to attend the lecture
functional analysis in parallel.
Content:
Differential equations play an important role in
many applications. However, it is usually not possible
to find a formula for the exact solution.
In this lecture, numerical schemes that approximate the
solutions are discussed.
The lecture is composed of three parts:
The first part is devoted to numerical approximations of ordinary
differential equations, the second to finite difference
methods of time-dependent partial differential equations,
while the third part discusses finite element methods for
partial differential equations.
Time of lectures
The lecture will take place on Monday at 09:15-10:45
and Tuesday at 09:15-10:45 and the tutorial classes will
take place on Monday at 11:00-12:30. The lecture and the
tutorial class will be in SG 3-14.
News
For health reasons, the lectures on 27th and 28th October
have to take place as self-study. Please read the new version
of the lecture notes for this purpose.
The tutorial class is cancelled and exercise sheets 1 and 2
will be discussed in the tutorial class on 3rd November.
For health reasons, the lectures on 20 and 21 October and the
tutorial class on 20 October has to be cancelled.
The first lecture will take place on Monday, October 13 at 09:15.
Material
Exercises
Code
Lecture Notes
Lecture Notes (current version)
A German version of the lecture notes can be found at the webpage
Numerik 2. Note that this version
is not updated.