Lecture "Numerical Analysis of Differential Equations" (WS 2026/2027)
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 11:15-12:45
and Tuesday at 09:15-10:45 and the tutorial classes will
take place on Monday at 13:15-14:45. The lecture and the
tutorial class will be in SG 3-14.
News
The first lecture will take place on Monday, October 12 at 11:15.
Material
Exercises
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Exercise Sheet |
Discussion on |
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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.