65-431 Numerical Approximation of PDEs by Finite Differences and Finite Volumes (in English) (block course in the first half of the term)

Course offering details

Instructors: Dr. Claus Rüdiger Goetz

Event type: Lecture

Displayed in timetable as: M-WR-V

Hours per week: 2

Language of instruction: English

Min. | Max. participants: - | -

Comments/contents:
The lecture will be concerned with finite difference and finite volume methods for the numerical solution of PDEs.

Topics of this lecture include:
-weak formulation of transport equations
-conservative discretization of transport equations
-finite difference/volume methods for elliptic and parabolic PDEs
-consistency and stability, convergence
-a priori discretization error estimates
-solution methods for the discrete systems

Literature:
The contents of this lecture as well as additional material may be found in:

D. Kröner: Numerical Schemes for Conservation Lawshe mathematical theory of finite element methods
C. Großmann, H.G. Roos: Numerical Treatment of Partial Differential Equations

and many more.

A script will be available.

Appointments
Date From To Room Instructors
1 Tue, 5. Apr. 2022 10:15 11:45 Geom H4 Dr. Claus Rüdiger Goetz
2 Fri, 8. Apr. 2022 08:15 09:45 Geom H6 Dr. Claus Rüdiger Goetz
3 Tue, 12. Apr. 2022 10:15 11:45 Geom H4 Dr. Claus Rüdiger Goetz
4 Tue, 19. Apr. 2022 10:15 11:45 Geom H4 Dr. Claus Rüdiger Goetz
5 Fri, 22. Apr. 2022 08:15 09:45 Geom H6 Dr. Claus Rüdiger Goetz
6 Tue, 26. Apr. 2022 10:15 11:45 Geom H4 Dr. Claus Rüdiger Goetz
7 Fri, 29. Apr. 2022 08:15 09:45 Geom H6 Dr. Claus Rüdiger Goetz
8 Tue, 3. May 2022 10:15 11:45 Geom H4 Dr. Claus Rüdiger Goetz
9 Fri, 6. May 2022 08:15 09:45 Geom H6 Dr. Claus Rüdiger Goetz
10 Tue, 10. May 2022 10:15 11:45 Geom H4 Dr. Claus Rüdiger Goetz
11 Fri, 13. May 2022 08:15 09:45 Geom H6 Dr. Claus Rüdiger Goetz
12 Tue, 17. May 2022 10:15 11:45 Geom H4 Dr. Claus Rüdiger Goetz
13 Fri, 20. May 2022 08:15 09:45 Geom H6 Dr. Claus Rüdiger Goetz
Exams in context of modules
Module (start semester)/ Course Requirement combination Exam Date Instructors Compulsory pass
Ma-M-WR_I Scientific Computing I (SuSe 22) / M-WR-V  Numerical Approximation of PDEs by Finite Differences and Finite Volumes (in English) (block course in the first half of the term) Prüfung 1  Oral exam Time tbd Dr. Claus Rüdiger Goetz; Kamal Kishor Sharma Yes
2  Oral exam Time tbd Dr. Claus Rüdiger Goetz; Kamal Kishor Sharma Yes
3  Oral exam Time tbd Dr. Claus Rüdiger Goetz; Kamal Kishor Sharma Yes
Ma-M-WR_II Scientific Computing II (SuSe 22) / M-WR-V  Numerical Approximation of PDEs by Finite Differences and Finite Volumes (in English) (block course in the first half of the term) Prüfung 1  Oral exam Time tbd Dr. Claus Rüdiger Goetz; Kamal Kishor Sharma Yes
Ma-M-WR_II Scientific Computing II (SuSe 21) / M-WR-V  Numerical Approximation of PDEs by Finite Differences and Finite Volumes (in English) (block course in the first half of the term) Prüfung 4  Exam Time tbd Dr. Claus Rüdiger Goetz; Kamal Kishor Sharma Yes
Ma-M-WR_III Scientific Computing III (SuSe 22) / M-WR-V  Numerical Approximation of PDEs by Finite Differences and Finite Volumes (in English) (block course in the first half of the term) Exam 1  Oral exam Time tbd Dr. Claus Rüdiger Goetz; Kamal Kishor Sharma Yes
Ma-M-WR_IV Scientific Computing IV (SuSe 22) / M-WR-V  Numerical Approximation of PDEs by Finite Differences and Finite Volumes (in English) (block course in the first half of the term) Exam 1  Oral exam Time tbd Dr. Claus Rüdiger Goetz; Kamal Kishor Sharma Yes
Class session overview
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Instructors
Dr. Claus Rüdiger Goetz