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250002 VU VU Numerische Methoden für Differentialgleichungen (2020S)
Continuous assessment of course work
Labels
Registration/Deregistration
Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).
- Registration is open from Fr 14.02.2020 00:00 to We 26.02.2020 23:59
- Deregistration possible until Th 30.04.2020 23:59
Details
max. 25 participants
Language: German
Lecturers
Classes
Dienstag 16:00-17:15
Donnerstag 15:00-16:45
Information
Aims, contents and method of the course
Assessment and permitted materials
Grades will be based on an exam at the end of the semester, the number and quality of presented exercise problems, and the project, as well as participation during the course.
Minimum requirements and assessment criteria
This course conveys, by means of a lecture, exercise problems and a small project: basic knowledge on Differential equations, numerical methods for their solutions and elementary numerical analysis of such methods, numerical modeling
Examination topics
The main part of this course will be givenas a lecture. Additionally, exercise problems and projects will be presented by the students at some of the dates.
Reading list
Eigenes Skriptum der Vortragenden.Quarteroni, Sacco, Salieri: Numerical Mathematics, Springer, 2000 (Kap. 2, 11, 12)Stoer, Bulirsch, Numerische Mathematik 2, Springer-Verl. 2005Rannacher, Rolf: Numerik 1: Numerik gewöhnlicher Differentialgleichungen, Heidelberg University Publishing, 2017. https://doi.org/10.17885/heiup.258.342Peter Deuflhard, Folkmar Bornemann, Numerische Mathematik 2: Gewöhnliche Differentialgleichungen, De Gruyter, 2008
Association in the course directory
WND
Last modified: Tu 03.08.2021 00:23
Basic concepts of numerics: machine arithmetics, condition, error propagation, ...
Basic numerical methods for Differential equations:
Finite differences: Euler method explicit / implicit, Runge-Kutta, Multistep, Predictor-Corector,
Basic notions of numerics for DE: stability, consistency, convergence
Spectral methods: Basics of Fourier expansions
Finite Element Methods
Notions of solutions for DE (strong / weak solutions)
Introduction to Partial differential equations
„Numerical modeling“ with Differential equations
In the final weeks of the VU, a project example will be worked out in small groups.