Advanced Numerical Methods

10 credits

Course, Master's level, 1TD050

Expand the information below to show details on how to apply and entry requirements.

Location
Uppsala
Pace of study
67%
Teaching form
On-campus
Instructional time
Daytime
Study period
1 September 2025–2 November 2025
Language of instruction
English
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.

Selection

Higher education credits in science and engineering (maximum 240 credits)

Fees
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 and tuition fees.
  • First tuition fee instalment: SEK 24,167
  • Total tuition fee: SEK 24,167

Read more about fees.

Application deadline
15 April 2025
Application code
UU-12001

Admitted or on the waiting list?

Registration period
25 July 2025–7 September 2025
Information on registration from the department

Location
Uppsala
Pace of study
67%
Teaching form
On-campus
Instructional time
Daytime
Study period
1 September 2025–2 November 2025
Language of instruction
English
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.

Admitted or on the waiting list?

Registration period
25 July 2025–7 September 2025
Information on registration from the department

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 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.

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