The course introduces numerical methods according to the type of problem they tackle. The tutorials will include both theoretical exercises and practical tasks.
Objective
This course intends to introduce students to fundamental numerical methods that form the foundation of numerical simulation in engineering. Students are to understand the principles of numerical methods, and will be taught how to assess, implement, and apply them. The focus of this class is on the numerical solution of ordinary differential equations. During the course they will become familiar with basic techniques and concepts of numerical analysis. They should be enabled to select and adapt suitable numerical methods for a particular problem.
Content
Quadrature, Newton method, initial value problems for ordinary differential equations: explicit one step methods, step length control, stability analysis and implicit methods, structure preserving methods
Literature
M. Hanke Bourgeois: Grundlagen der Numerischen Mathematik und des Wissenschaftlichen Rechnens, BG Teubner, Stuttgart, 2002.
W. Dahmen, A. Reusken: Numerik für Ingenieure und Naturwissenschaftler, Springer, 2008.
Extensive study of the literature is not necessary for the understanding of the lectures.
Prerequisites / Notice
Prerequisite is familiarity with basic calculus and linear algebra.
Performance assessment
Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
In examination block for
Bachelor's Degree Programme in Electrical Engineering and Information Technology 2016; Version 31.10.2017 (Examination Block 3) Bachelor's Degree Programme in Electrical Engineering and Information Technology 2017; Version 07.04.2022 (Examination Block 3) Bachelor's Degree Programme in Materials Science 2017; Version 28.01.2020 (Examination Block 4)
The performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examination
written 90 minutes
Written aids
5 A4-Blätter doppelseitig (=10 Seiten) eigenhändig und handschriftlich verfasste Zusammenfassung. Sonst keine Hilfsmittel zugelassen.
If the course unit is part of an examination block, the credits are allocated for the successful completion of the whole block. This information can be updated until the beginning of the semester; information on the examination timetable is binding.