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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

Det finns inga tidigare terminer för kursen Autumn Term 2022 Det finns inga senare terminer för kursen


29 August 2022


31 October 2022

Study location




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.

Entry requirements


Academic credits Applicants in some programs at Umeå University have guaranteed admission to this course. The number of places for a single course may therefore be limited.

Application code



Application deadline was 19 April 2022. The application period is closed.

Application and tuition fees

As a citizen of a country outside the European Union (EU), the European Economic Area (EEA) or Switzerland, you are required to pay application and tuition fees for studies at Umeå University.

Application fee

SEK 900

Tuition fee, first instalment

SEK 17,850

Total fee

SEK 17,850

Contact us

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