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Instructors: Prof. Dr. Hendrik Ranocha
Event type:
Lecture
Displayed in timetable as:
M-WR-V
Hours per week:
2
Language of instruction:
English
Min. | Max. participants:
- | -
Comments/contents:
Partial differential equations (PDEs) are used to model a variety of phenomena including the the airflow around cars or planes, tsunami propagation, earthquakes, and much more. Since analytical solutions are generally not available, numerical methods are required for a range of practical applications in science and engineering.
This is part 1 of an introductory course on numerical methods for PDEs, focussing on so-called finite difference and finite volume methods for time-dependent problems. Part 2 is called "Numerical Methods for PDEs - Galerkin Methods" and focuses on finite element methods.
Basic knowledge of calculus, higher analysis, and linear algebra is required. Basic knowledge of PDE theory and numerical methods for ordinary differential equations is recommended.
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.
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