Numerical methods for ODEs

Education facts

Code: MMF910

Ordinary differential equations (ODEs) often appear in the dynamical description of systems in physics, chemistry, biology, etc. It is only in particular cases that one can derive explicit solutions to ODEs: a numerical approximation is needed. The course covers numerical methods for ODEs such as Runge-Kutta methods and their linear stability analysis. Depending on the interest of the participants, more specialized topics will be covered. Examples of such specialized topics are: numerical methods for stiff problems, geometric numerical methods (i.e. structure-preserving numerical methods), Lie group integrators, or geometric mechanics. Exercises will illustrate and complement the theory presented during the lectures. Computer exercises illustrate the implementation and use of the presented numerical methods on small-scale problems.

Entry requirements

For entrance to the course, knowledge corresponding to the coursesLinear algebra MMG400and multivariable calculus MMG300, and good working knowledge of a programming language is required.

Education offerings

Each offering has its own dates and conditions. Closed offerings are retained as history and do not mean that a new application is open.

• Numerical methods for ODEs

  University of Gothenburg

  Start date: 19 January 2026

  End date: 22 March 2026

  Pace of study: 50 %