250043 VU Advanced Numerics for PDE (Selected topics in applied mathematic) (2010S)

5.00 ECTS (3.00 SWS), SPL 25 - Mathematik

Continuous assessment of course work

Erstmals am Donnerstag, 11. März 2010, Seminarraum C 714 (UZA 4)
Termine: Di 12:30 - 14:30 Uhr, Do 12:30 - 14:30 Uhr

Details

Language: English

Lecturers

Classes

Currently no class schedule is known.

Information

Aims, contents and method of the course

- Advanced solvers for evolution problems.

.) Boundary conditions. Artificial boundaries for whole-space problems (filtering methods, transparent boundary conditions,...),

.) Methods for nonlinear hyperbolic Problems, e.g. Burgers-Gl,

.) Particle in Cells (PIC) methods,

.) Monte Carlo methods,

.) Semi-Lagrangian methods,

.) Operator splitting methods

.) Adaptive methods, Multigrid-Methods,

- Implementation, including aspects of parallelisation

Assessment and permitted materials

Minimum requirements and assessment criteria

This integrated course (lecture + tutorial) is treating numerical methods for PDE which are used in current research. Applications to problems from Physics or Biology are also presented.

The objective are knowledge and understanding of advanced numerical methods of PDEs and gaining
insight into the state of the art. The emphasis will be on general understanding of methods and practical aspects up to implementation on modern parallel computers, not on rigorous proofs.

Examination topics