Advanced Numerical Methods, 10 credits
Academic year 2023/2024
Autumn 2023, 67%, Campus
Start date: 28 August 2023
End date: 30 October 2023
Application deadline: 17 April 2023
Application code: UU-12001 Application
Language of instruction: English
Selection: Higher education credits in science and engineering (maximum 240 credits)
Registration: 28 July 2023 – 4 September 2023
Entry requirements: 120 credits in science/engineering including 45 credits in mathematics, where linear algebra, vector calculus, transform theory (Fourier analysis) must be covered. Scientific Computing III or Scientific computing for Partial Differential Equations. Applied Finite Element Methods or Finite Element Methods. Proficiency in English equivalent to the Swedish upper secondary course English 6.
If you are not a citizen of a European Union (EU) or European Economic Area (EEA) country, or Switzerland, you are required to pay application or tuition fees. Formal exchange students will be exempted from tuition fees, as well as the application fee. Read more about fees.
Application fee: SEK 900
Tuition fee, first semester: SEK 24,167
Tuition fee, total: SEK 24,167
About the course
When a numerical method is used for solving problems in application areas, unexpected phenomena might arise. There might be non-physical oscillations in the solution or the execution time might be very high. When such things happen an analysis of the numerical method is required. The analysis has two goals, to understand for what problems and what choices of parameters the method works, and to choose the best method out of a number of possible ones for a specific problem.
One half of the course focus on so-called difference methods for partial differential equations, and the other half on finite element methods. The central concepts of consistency, convergence and stability are covered in detail and the methods are compared with respect to execution time.
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