Numerics of Differential Equations
Module MA3301
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 workload | Contact hours | Credits (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.
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
| Type | SWS | Title | Lecturer(s) | Dates |
|---|---|---|---|---|
| VO | 4 | Numerics of Differential Equations | Wohlmuth, Barbara, W. | |
| TT | 2 | Exercises for Numerics of Differential Equations | Wohlmuth, Barbara, W. Wohlmuth, Matthias, W. |
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.
Morton, K. W.; Mayers, D. F.: Numerical solution of partial differential equations. An introduction. Second edition. Cambridge University Press, Cambridge, 2005.