Nonlinear Waves
About the 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.
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.
Objectives 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.
Prerequisites
Anbefalte forkunnskaper
MAT-3200 Mathematical Methods
Credit reduction
If you pass the examination in this course, you will get an reduction in credits (as stated below), if you previously have passed the following courses:
- MA-320 Mathematical theory of waves 10 ects
- MAT-8202 Nonlinear Waves 10 ects
Teaching methods
Language of instruction and examination
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.Schedule
The schedules are normally finalized and published well in advance of the start of the semester, often a few weeks beforehand. This gives students the opportunity to organize their studies and prepare for upcoming activities.
It is recommended to check the schedule regularly, as changes may occur.
Information to incoming exchange students
This course is available for inbound exchange students.
This course is open for inbound exchange student who meets the admission requirements. Please see the Admission requirements.
Do you have questions about this module? Please check the following website to contact the course coordinator for exchange students at the faculty: INBOUND STUDENT MOBILITY: COURSE COORDINATORS AT THE FACULTIES | UiT
Examination
| Oral exam |
Grade: A–E, fail F |
To take an examination, the student must have passed the following coursework requirements
| Mandatory homework sets | Grade: Approved – not approved |
Everything you need to know about before, during, and after the exam; registration, absence, appeals, and diplomas: UiT Exams homepage
