|Time:||7/25/05, 4:00 p.m. – 5:30 p.m.|
|Lecturer:||Dr. Iuliu Sorin Pop, Dept. of Mathematics and Computer Science, TU Eindhoven, Niederlande|
|Venue:||Pfaffenwaldring 61, Raum U1.003 (MML), Universität Stuttgart
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Appropriate numerical algorithms are requested for dealing with suchkind of problems. We focus here on the particular case of a scalarmodel that can be formulated in a fixed domain. To overcome thedifficulties that are due to the degeneracy, we first perturb theoriginal model and end up with a regular parabolic one. For theresulting we employ standard discretization methods (implicit in timeand an upwinded box scheme in space) and show that these lead tostable and convergent algorithms. A few words will be said on how tosolve the time discrete nonlinear problems.