Summer Term 2024

Übungen zu Numerics of instationary differential equations (Prof. Lubich, SS 2024)

Lecturer

Prof. Dr. Ch. Lubich

Assistant

Dominik Sulz

Exercise classes

Wednesday 10-12 in seminarroom S06

Aktuelles#

• 17.04.: The date for the exercise class was fixed - Wednesday 10-12 in S06.
• 15.02.: Please register in URM URM.
• 15.02.: The website is now online - further information will be added soon.

General information#

• The course will be taught block wise. First block will be 15.04.2024 - 29.04.2024, the second block 24.06.2024 - 24.07.2024. In this times there will be 8 hours of lecture every week.
• Information how the exercises will take place will follow soon.
• If you have any questions or doubts, please contact Dominik Sulz.

Lecture notes#

Here you can find some old (german) lecture notes for the course:

• Lecture notes

Exercise sheets#

• Sheet 1
• Sheet 2
• Sheet 3
• Sheet 4
• Programming project You can find all needed code here
• Sheet 5
• Sheet 6
• Sheet 7
• Sheet 8
• Sheet 9
• Sheet 10
• Sheet 11

Exercise class#

• The exercises will take place Wednesday 10-12 in seminarroom S06.
• On 17.05, 31.05 and 19.07 the exercise class will take place instead of the Wednesday appointment. On these dates it will be 2-4 p.m. in S07.
• Exercises will be published on Wednesday here on the website.
• Each participant crosses the exercises which he/she solved. The tutor will randomly pick one who presents the solution.
• If there are serious troubles/mistakes or problems of understanding all corsses for the sheet will be deleted.

Programming exercises#

Exam, admission to exam#

Literatur#

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.

Numerics of partial differential equations:

• Braess, D.: Finite Elemente, 4. Auflage, Springer, 2007.
• Deuflhard, P., Weisser, M.: Numerische Mathematik 3. Adaptive Lösung partieller Differentialgleichungen, de Gruyter, 2011.

Stiff differential equations:

• Hairer, E., Wanner, G., Solving Ordinary Differential Equations II : Stiff and Differential–Algebraic Problems, 2. Auflage, Springer–Verlag, Berlin Heidelberg, Springer Series in Computational Mathematics 14, 2002.

Teaching assistant#

If you have any question or doubts please contact me anytime via mail Dominik Sulz or just come to my office. I have an open door policy, just come over!