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Numerical Methods for Partial Differential Equations

Module MA3303

This Module is offered by TUM Department of Mathematics.

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 2021/2 (current)

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 2021/2SS 2021SS 2020WS 2013/4WS 2012/3

Basic Information

MA3303 is a semester module in English language at Master’s level which is offered in summer semester.

This Module is included in the following catalogues within the study programs in physics.

  • Catalogue of non-physics elective courses
Total workloadContact hoursCredits (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

Please keep in mind that course announcements are regularly only completed in the semester before.

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.

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.

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.

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