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20970-01 - Main lecture: Numerik der Differentialgleichungen (4 CP)
| Semester | fall semester 2026 |
| Course frequency | Every 2nd fall sem. |
| Lecturers | Romain Mottier (romain.mottier@unibas.ch, Assessor) |
| Content | Many applications in engineering and physics involve differential equations. Such equations can generally only be solved numerically. This course introduces and examines suitable solution methods. The content covers both single-step and multi-step methods for solving ordinary differential equations, as well as finite difference methods for solving partial differential equations. |
| Learning objectives | By the end of the course, students are able to: - derive and implement the standard single-step and multi-step methods for ordinary differential equations; - analyse a method in terms of consistency, order, stability and convergence; - choose an appropriate method for a given problem, including stiff problems, and justify the choice; - implement these methods in a programming language such as Matlab and interpret the numerical results critically. |
| Comments | Further information and handouts will be provided in due course on ADAM (link below). https://adam.unibas.ch/go/crs/2207314 |
| Admission requirements | Prerequisites for the course include knowledge of the numerical methods introduced in the course Einfuehrung in die Numerik in basic programming skills in a programming language, such as Matlab. |
| Language of instruction | English |
| Use of digital media | No specific media used |
| Course auditors welcome |
| Interval | Weekday | Time | Room |
|---|---|---|---|
| wöchentlich | Tuesday | 14.15-16.00 | Kollegienhaus, Hörsaal 117 |
| wöchentlich | Thursday | 14.15-16.00 | Kollegienhaus, Hörsaal 117 |
Dates
| Date | Time | Room |
|---|---|---|
| Tuesday 15.09.2026 | 14.15-16.00 | Kollegienhaus, Hörsaal 117 |
| Thursday 17.09.2026 | 14.15-16.00 | Kollegienhaus, Hörsaal 117 |
| Tuesday 22.09.2026 | 14.15-16.00 | Kollegienhaus, Hörsaal 117 |
| Thursday 24.09.2026 | 14.15-16.00 | Kollegienhaus, Hörsaal 117 |
| Tuesday 29.09.2026 | 14.15-16.00 | Kollegienhaus, Hörsaal 117 |
| Thursday 01.10.2026 | 14.15-16.00 | Kollegienhaus, Hörsaal 117 |
| Tuesday 06.10.2026 | 14.15-16.00 | Kollegienhaus, Hörsaal 117 |
| Thursday 08.10.2026 | 14.15-16.00 | Kollegienhaus, Hörsaal 117 |
| Tuesday 13.10.2026 | 14.15-16.00 | Kollegienhaus, Hörsaal 117 |
| Thursday 15.10.2026 | 14.15-16.00 | Kollegienhaus, Hörsaal 117 |
| Tuesday 20.10.2026 | 14.15-16.00 | Kollegienhaus, Hörsaal 117 |
| Thursday 22.10.2026 | 14.15-16.00 | Kollegienhaus, Hörsaal 117 |
| Tuesday 27.10.2026 | 14.15-16.00 | Kollegienhaus, Hörsaal 117 |
| Thursday 29.10.2026 | 14.15-16.00 | Kollegienhaus, Hörsaal 117 |
| Tuesday 03.11.2026 | 14.15-16.00 | Bernoullianum, Grosser Hörsaal 148 |
| Thursday 05.11.2026 | 14.15-16.00 | Kollegienhaus, Hörsaal 117 |
| Tuesday 10.11.2026 | 14.15-16.00 | Kollegienhaus, Hörsaal 117 |
| Thursday 12.11.2026 | 14.15-16.00 | Kollegienhaus, Hörsaal 117 |
| Tuesday 17.11.2026 | 14.15-16.00 | Kollegienhaus, Hörsaal 117 |
| Thursday 19.11.2026 | 14.15-16.00 | Kollegienhaus, Hörsaal 117 |
| Tuesday 24.11.2026 | 14.15-16.00 | Kollegienhaus, Hörsaal 117 |
| Thursday 26.11.2026 | 14.15-16.00 | Kollegienhaus, Hörsaal 117 |
| Tuesday 01.12.2026 | 14.15-16.00 | Kollegienhaus, Hörsaal 117 |
| Thursday 03.12.2026 | 14.15-16.00 | Kollegienhaus, Hörsaal 117 |
| Tuesday 08.12.2026 | 14.15-16.00 | Kollegienhaus, Hörsaal 117 |
| Thursday 10.12.2026 | 14.15-16.00 | Bernoullianum, Grosser Hörsaal 148 |
| Tuesday 15.12.2026 | 14.15-16.00 | Kollegienhaus, Hörsaal 114 |
| Thursday 17.12.2026 | 14.15-16.00 | Kollegienhaus, Hörsaal 117 |
| Modules |
Modul: Computational Mathematics (Bachelor's Studies: Computational Sciences) Modul: Computational Mathematics (Bachelor's Studies: Computational Sciences) Modul: Computational Mathematics (Bachelor's Studies: Computational Sciences) Modul: Computational Mathematics (Bachelor's Studies: Computational Sciences) Modul: Computational Mathematics (Bachelor's Studies: Computational Sciences) Module: Applied Mathematics (Bachelor's Studies: Mathematics) Module: Computational Mathematics (Bachelor's Studies: Computational Sciences (Start of studies before 01.08.2023)) |
| Assessment format | exam |
| Assessment details | Half-hour oral exam. Further information and deadlines for exam registration: https://philnat.unibas.ch/examen |
| Assessment registration/deregistration | Reg.: in ‘exam reg.’; dereg.: Dean of Std. Off. in writing |
| Repeat examination | one repetition, best attempt counts |
| Scale | 1-6 0,5 |
| Repeated registration | no repetition |
| Responsible faculty | Faculty of Science, studiendekanat-philnat@unibas.ch |
| Offered by | Fachbereich Mathematik |