Numerical Methods for Partial Differential Equations
Module MA3303
This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.
Module version of WS 2012/3
There are historic module descriptions of this module. A module description is valid until replaced by a newer one.
Whether the module’s courses are offered during a specific semester is listed in the section Courses, Learning and Teaching Methods and Literature below.
| available module versions | ||||
|---|---|---|---|---|
| WS 2021/2 | SS 2021 | SS 2020 | WS 2013/4 | WS 2012/3 |
Basic Information
MA3303 is a semester module in English language at Master’s level which is offered in winter semester.
This Module is included in the following catalogues within the study programs in physics.
- Catalogue of non-physics elective courses
| Total workload | Contact hours | Credits (ECTS) |
|---|---|---|
| 270 h | 90 h | 9 CP |
Content, Learning Outcome and Preconditions
Content
Finite element methods for the discretization of (multidimensional) elliptic boundary value problems: a priori and a posteriori error analysis, adaptive mesh refinement, fast solvers. Introduction to numerical methods for evolution equations
Learning Outcome
After successful completion of the module the students are able to understand and apply numerical solution techniques for partial differential equations. They have programming skills and are able to handle corresponding software.
Preconditions
MA0008 Numerical Analysis, MA3301 Numerics of Differential Equations
Courses, Learning and Teaching Methods and Literature
Courses and Schedule
| Type | SWS | Title | Lecturer(s) | Dates | Links |
|---|---|---|---|---|---|
| VO | 4 | Numerical Methods for Partial Differential Equations | Christof, C. Vexler, B. |
Mon, 14:15–15:45, MI HS3 Wed, 14:15–15:45, MI HS3 Wed, 14:15–15:45, EI-HS Garching and singular or moved dates |
|
| UE | 2 | Numerical Methods for Partial Differential Equations (Exercise Session) | Christof, C. Vexler, B. | dates in groups |
Learning and Teaching Methods
lecture, exercise course, self-study assignments
The module is offered as lectures with accompanying practice sessions. In the lectures, the contents will be presented in a talk with demonstrative examples, as well as through discussion with the students. The lectures should animate the students to carry out their own analysis of the themes presented and to independently study the relevant literature. Corresponding to each lecture, practice sessions will be offered, in which exercise sheets and solutions will be available. In this way, students can deepen their understanding of the methods and concepts taught in the lectures and independently check their progress. At the beginning of the module, the practice sessions will be offered under guidance, but during the term the sessions will become more independent, and intensify learning individually as well as in small groups.
The module is offered as lectures with accompanying practice sessions. In the lectures, the contents will be presented in a talk with demonstrative examples, as well as through discussion with the students. The lectures should animate the students to carry out their own analysis of the themes presented and to independently study the relevant literature. Corresponding to each lecture, practice sessions will be offered, in which exercise sheets and solutions will be available. In this way, students can deepen their understanding of the methods and concepts taught in the lectures and independently check their progress. At the beginning of the module, the practice sessions will be offered under guidance, but during the term the sessions will become more independent, and intensify learning individually as well as in small groups.
Media
blackboard
Literature
Iserles, A.: A first course in the numerical analysis of differential equations. Cambridge University Press, Cambridge, 1996.
Morton, K. W.; Mayers, D. F.: Numerical solution of partial differential equations. An introduction. Second edition. Cambridge University Press, Cambridge, 2005.
Morton, K. W.; Mayers, D. F.: Numerical solution of partial differential equations. An introduction. Second edition. Cambridge University Press, Cambridge, 2005.
Module Exam
Description of exams and course work
The module examination is based on a written exam (90 minutes). Students have to know basic methods to deal with partial differential equations and can apply them in limited time. They show their programming skills in the corresponding software.
Exam Repetition
The exam may be repeated at the end of the semester.