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.
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 focuses 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.
