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| Semester | spring semester 2024 |
| Course frequency | Irregular |
| Lecturers | Marcus J. Grote (marcus.grote@unibas.ch, Assessor) |
| Content | Numerical methods for the simulation of acoustic, electromagnetic and elastic wave phenomena. Finite difference and finite element methods for the numerical solution of the time-dependent wave equation and the time-harmonic Helmholtz equation. Numerical methods for wave propagation in unbounded domains: Dirichlet-to-Neumann map, nonreflecting boundary conditions, perfectly matched layers. |
| Learning objectives | Proficiency in modern numerical methods for the simulation of wave phenomena. |
| Bibliography | D. Braess: Finite Elemente S.C. Brenner and L.R. Scott: The Mathematical Theory of Finite Element Methods K. Eriksson, D. Estep, P. Hansbo and C. Johnson: Computational Differential Equations B. Gustafsson, H-O. Kreiss, J. Oliger: Time Dependent Problems and Difference Methods F. Ihlenburg: Finite Element Analysis of Acoustic Scattering G. Strang and G.J. Fix: An Analysis of the Finite Element Method |
| Admission requirements | Standard courses in mathematical analysis and linear algebra, such as Analysis I & II, Lineare Algebra, reelle Analysis, Funktionalanalysis or equivalent. Some existing (possibly applied, from physics etc) knowledge of PDE's is assumed. Standard courses in numerical analysis, such as Einf. in die Numerik, Numerik der Diff.-Gl. Working knowledge in one programming language such as Matlab or Python. |
| Language of instruction | English |
| Use of digital media | No specific media used |
| Course auditors welcome |
| Interval | Weekday | Time | Room |
|---|---|---|---|
| wöchentlich | Monday | 14.15-16.00 | Spiegelgasse 5, Seminarraum 05.001 |
| wöchentlich | Wednesday | 14.15-16.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Date | Time | Room |
|---|---|---|
| Monday 26.02.2024 | 14.15-16.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Wednesday 28.02.2024 | 14.15-16.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Monday 04.03.2024 | 14.15-16.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Wednesday 06.03.2024 | 14.15-16.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Monday 11.03.2024 | 14.15-16.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Wednesday 13.03.2024 | 14.15-16.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Monday 18.03.2024 | 14.15-16.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Wednesday 20.03.2024 | 14.15-16.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Monday 25.03.2024 | 14.15-16.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Wednesday 27.03.2024 | 14.15-16.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Monday 01.04.2024 | 14.15-16.00 | Ostern |
| Wednesday 03.04.2024 | 14.15-16.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Monday 08.04.2024 | 14.15-16.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Wednesday 10.04.2024 | 14.15-16.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Monday 15.04.2024 | 14.15-16.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Wednesday 17.04.2024 | 14.15-16.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Monday 22.04.2024 | 14.15-16.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Wednesday 24.04.2024 | 14.15-16.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Monday 29.04.2024 | 14.15-16.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Wednesday 01.05.2024 | 14.15-16.00 | Tag der Arbeit |
| Monday 06.05.2024 | 14.15-16.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Wednesday 08.05.2024 | 14.15-16.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Monday 13.05.2024 | 14.15-16.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Wednesday 15.05.2024 | 14.15-16.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Monday 20.05.2024 | 14.15-16.00 | Pfingstmontag |
| Wednesday 22.05.2024 | 14.15-16.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Monday 27.05.2024 | 14.15-16.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Wednesday 29.05.2024 | 14.15-16.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Modules |
Module Specialisation: Numerics (Master's Studies: Mathematics) |
| Assessment format | continuous assessment |
| Assessment registration/deregistration | Reg.: course registration, dereg: cancel course registration |
| Repeat examination | no repeat examination |
| Scale | Pass / Fail |
| Repeated registration | as often as necessary |
| Responsible faculty | Faculty of Science, studiendekanat-philnat@unibas.ch |
| Offered by | Fachbereich Mathematik |