de | en

Numerics of Differential Equations

Module MA3301

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.

Basic Information

MA3301 is a semester module in English language at Master’s level which is offered in winter semester.

This module description is valid to SS 2013.

Total workloadContact hoursCredits (ECTS)
270 h 90 h 9 CP

Content, Learning Outcome and Preconditions

Content

Numerical solution of stiff ordinary differential equations (stability domains, stability concepts, one- and multi-step methods for stiff problems).
Introduction to the numerical solution of partial differential equations (finite differences, finite elements, method of lines). Focus on problems in one space dimension, 2D for elliptic boundary value problems.
Iterative solvers for systems of linear equations.

Learning Outcome

After successful completion of the module the students are able to understand and apply numerical solution techniques for stiff ordinary differential equations and numerical methods for the solution of partial differential equations. They have programming skills and are able to handle corresponding software.

Preconditions

MA1302 Introduction to Numerical Analysis, MA2302 Numerical Analysis

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

Learning and Teaching Methods

lecture, exercise course, self-study assignments

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

Klausur

Exam Repetition

The exam may be repeated at the end of the semester.

Top of page