Exercise classes for Numerics of Stationary Differential Equations
Aktuelles
| 15.10.2025 | Please register to the URM system! |
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Important Links
Registration
- All students in examination regulations that are administered in Alma must register there both for the examination and for participation in the examinations. This concerns the following examination regulations: B.Sc. PO 2017 and 2019, B.Ed. Gymnasium PO 2016
and 2018, B.Ed. Vocational Schools PO 2015 and 2018, B.Ed. Preliminary Achievements Extension Subject PO 2019, M.Ed. Vocational Schools PO 2018, M.Ed. Extension Subject PO 2020. All information in this regard is without guarantee, in case of doubt check your exam regulations/module handbook .
- For students to be placed in the Übungalow, they must register in the URM for the Übungalow and indicate their scheduling preferences.
Lecture notes
Here you can find some old lecture notes in German
Exercise sheets
Here you can find the exercise sheets every [TBA]:
Exercise classes
- Every [TBA], a new exercise sheet is published. You have one week to prepare the solutions.
- At the beginning of the exercise session, the participants tick the exercises they have solved. Tick the exercise only if you consider it to be meaningfully worked on and are able to present it without further preparation.
- In the event of illness, notify your tutor in advance and submit your work via mail.
- The tutor decides who is to demonstrate which task.
- If it becomes clear during the presentation that the exercise was not understood or contains major errors, all ticks of the relevant exercise sheet of the student will be scored as not ticked.
- In case of repetition, all exercises crossed in the semester by the student in question will be counted as unticked.
Schein allocation/Exam prerequisites
- In order to be admitted to the exam, at least 50% of the exercises must be ticked.
- The exercises are composed of analytical and programming exercises.
- Prerequisite for a Schein is the passing of the exam.
- The presence in the exercise class and a active participation in the same are required.
Further literature
Analytical background:
- Alt, H.W.: Lineare Funktionalanalysis, 5. Auflage, Springer, 2006.
- Evans, L.C.: Partial Differential Equations, American Mathematical Society, 1998.
- Adams, R: Sobolev Spaces, 2. Auflage, Academic Press, 2005.
Boundary value problems:
- Ascher, U., Mattheij, R., Russell, R.: Numerical Solution of Boundary Value Problems for Ordinary Differential Equations, SIAM 1995.
- Deuflhard, P., Bornemann, F.: Numerische Mathematik 2. Gewöhnliche Differentialgleichungen, 3. Auflage, de Gruyter, 2008.
Numerics of partial differential equations:
- Atkinson, K. and Han, W.: Theoretical numerical analysis: a functional analysis framework, 2. Auflage, Springer, 2007.
(Enthält Funktionalanalysis und Analyse auch.)
- Braess, D.: Finite Elemente, 4. Auflage, Springer, 2007.
- Deuflhard, P., Weisser, M.: Numerische Mathematik 3. Adaptive Lösung partieller Differentialgleichungen, de Gruyter, 2011.
Contact person: Georgios Vretinaris. If you have any questions, come by my office or write me an email!
