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12246-01 - Lecture: Numerical Methods for Partial Differential Equations (8 CP)
| Semester | fall semester 2025 |
| Further events belonging to these CP |
12246-01 (Lecture) 12246-02 (Practical course) |
| Course frequency | Every fall sem. |
| Lecturers | Marcus J. Grote (marcus.grote@unibas.ch, Assessor) |
| Content | Numerical methods for the solution of elliptic and parabolic partial differential equations. The focus of the course lies on finite element methods, implementation, and convergence theory. |
| Learning objectives | Theoretical and practical aspects of finite element methods for the solution of elliptic and parabolic problems. |
| Bibliography | D. Braess: Finite Elemente, Springer C. Johnson: Numerical Solutions of Partial Differential Equations by FEM |
| Comments | Both, the course and the exercise sessions, will be taught in presence at the blackboard. |
| Admission requirements | Analysis und Lineare Algebra oder Mathematische Methoden I-IV, Einführung in die Numerik, Numerik der Differentialgleichungen. Knowledge of a programming language, e.g. Matlab. |
| Language of instruction | English |
| Use of digital media | |
| Course auditors welcome |
| Interval | Weekday | Time | Room |
|---|---|---|---|
| wöchentlich | Monday | 14.15-16.00 | Kollegienhaus, Hörsaal 116 |
| wöchentlich | Wednesday | 14.15-16.00 | Kollegienhaus, Hörsaal 116 |
Dates
| Date | Time | Room |
|---|---|---|
| Monday 15.09.2025 | 14.15-16.00 | Spiegelgasse 5, Seminarraum 05.001 |
| Wednesday 17.09.2025 | 14.15-16.00 | --, -- |
| Monday 22.09.2025 | 14.15-16.00 | Kollegienhaus, Hörsaal 116 |
| Wednesday 24.09.2025 | 14.15-16.00 | Kollegienhaus, Hörsaal 116 |
| Monday 29.09.2025 | 14.15-16.00 | Kollegienhaus, Hörsaal 116 |
| Wednesday 01.10.2025 | 14.15-16.00 | Kollegienhaus, Hörsaal 120 |
| Monday 06.10.2025 | 14.15-16.00 | Kollegienhaus, Hörsaal 116 |
| Wednesday 08.10.2025 | 14.15-16.00 | Kollegienhaus, Hörsaal 116 |
| Monday 13.10.2025 | 14.15-16.00 | Kollegienhaus, Hörsaal 116 |
| Wednesday 15.10.2025 | 14.15-16.00 | Kollegienhaus, Hörsaal 116 |
| Monday 20.10.2025 | 14.15-16.00 | Kollegienhaus, Hörsaal 116 |
| Wednesday 22.10.2025 | 14.15-16.00 | Kollegienhaus, Hörsaal 116 |
| Monday 27.10.2025 | 14.15-16.00 | Kollegienhaus, Hörsaal 115 |
| Wednesday 29.10.2025 | 14.15-16.00 | Kollegienhaus, Hörsaal 116 |
| Monday 03.11.2025 | 14.15-16.00 | Kollegienhaus, Hörsaal 116 |
| Wednesday 05.11.2025 | 14.15-16.00 | Kollegienhaus, Hörsaal 116 |
| Monday 10.11.2025 | 14.15-16.00 | Kollegienhaus, Hörsaal 116 |
| Wednesday 12.11.2025 | 14.15-16.00 | Kollegienhaus, Hörsaal 116 |
| Monday 17.11.2025 | 14.15-16.00 | Kollegienhaus, Hörsaal 115 |
| Wednesday 19.11.2025 | 14.15-16.00 | Kollegienhaus, Hörsaal 116 |
| Monday 24.11.2025 | 14.15-16.00 | Kollegienhaus, Hörsaal 116 |
| Wednesday 26.11.2025 | 14.15-16.00 | Kollegienhaus, Hörsaal 116 |
| Monday 01.12.2025 | 14.15-16.00 | Kollegienhaus, Hörsaal 116 |
| Wednesday 03.12.2025 | 14.15-16.00 | Kollegienhaus, Hörsaal 120 |
| Monday 08.12.2025 | 14.15-16.00 | Kollegienhaus, Hörsaal 116 |
| Wednesday 10.12.2025 | 14.15-16.00 | Kollegienhaus, Hörsaal 116 |
| Monday 15.12.2025 | 14.15-16.00 | Kollegienhaus, Hörsaal 116 |
| Wednesday 17.12.2025 | 14.15-16.00 | Kollegienhaus, Hörsaal 116 |
| Modules |
Module Specialisation: Numerics (Master's Studies: Mathematics) Module: Electives in Data Science (Master's Studies: Data Science) Module: Mathematical Foundations (Master's Studies: Data Science) |
| Assessment format | continuous assessment |
| Assessment details | PASS/FAIL: Solving the weekly homework + 30 min oral exam in January/February 2026. |
| 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 |