Vår 2025

MAT-3202 Nonlinear Waves - 10 stp

The course is administrated by

Institutt for matematikk og statistikk

Type of course

The course is included in the study programs Mathematical scienses - master and Applied Physics and Mathematics - master (5-years). It may also be taken independent of study program upon approval of the Department of mathematics and statistics.

Course overlap

MAT-8202 Nonlinear Waves 10 ects

Course contents

An introduction to basic concepts of the theory of nonlinear waves. Covers variational formulations, perturbation methods, amplitude equations, integrable models and the theory of shocks. Numerical simulations play a central role in the modeling of nonlinear wave phenomena.

Admission requirements

Bachelor of science degree in mathematics or equal.

Recommended prerequsites is MAT-3200 Mathematical Methods.

Application code is 9371.

Objective of the course

After completing the course the students should know basic theory for modeling of linear and non-linear continuum systems, including:

hyperbolic and dispersive continuum models.
stability theory for conservative and dissipative models.
basic perturbation theory for models with several space-time scales.
numerical modelling of continuum models.
be able to use both analytical and numerical solution methods.

Language of instruction

The language of instruction and the syllabus is English. Examination questions will be given in English, but may be answered either in English or a Scandinavian language.

Teaching methods

Lectures: Approx. 40 h Coursework: Approx. 30 h