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Modelling and Simulation

  • Number of credits 7.5 credits
  • Level Master’s level
  • Starting Autumn Term 2022

About the course

The course is divided into four parts which together aim to provide essential knowledge for modeling and simulation. 1) Introduction to dynamic systems, including Lotka-Volterra equation, with a focus on fixed points and their properties. In connection with the models in discrete time period doubling, bifurcation and chaos are also introduced. 2) Introduction to stochastic simulation methods like Langevin dynamics, Brownian dynamics and Monte Carlo where the implementation is based on deterministic molecular dynamics. 3) Advancement of parameter estimation which includes (non-parametric) bootstrap analysis. 4) A theoretical approach to the numerical integration using the Picard-Lindelöf theorem and how this among other things leads to the Runge-Kutta methods and implicit methods. Applications are made through laboratory experiments with C programming, Matlab and computer program libraries.

Application and eligibility

Modelling and Simulation, 7.5 credits

Visa tillfällen för föregående termin Autumn Term 2022 Det finns inga senare terminer för kursen

The information below is only for exchange students

Starts

29 August 2022

Ends

31 October 2022

Study location

Umeå

Language

English

Type of studies

Daytime, 50%

Required Knowledge

90 credits including single variable calculus, linear algebra, introductory mathematical statistics, introductory programming methodology and introductory numerical methods. Swedish for basic eligibility for higher education programmes and English A/5. Requirements for Swedish only apply if the course is held in Swedish.

Selection

Students applying for courses within a double degree exchange agreement, within the departments own agreements will be given first priority. Then will - in turn - candidates within the departments own agreements, faculty agreements, central exchange agreements and other departmental agreements be selected.

Application code

UMU-A5387

Application

This application round is only intended for nominated exchange students. Information about deadlines can be found in the e-mail instruction that nominated students receive. The application period is closed.

Contact us

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Course is given by
The Department of Physics
Contactperson for the course is:
Ludvig Lizana