Advanced Numerical Methods
Course, Master's level, 1TD050
Expand the information below to show details on how to apply and entry requirements.
Autumn 2025
Autumn 2025,
Uppsala, 67%, On-campus, English
- 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
- 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
Autumn 2025
Autumn 2025,
Uppsala, 67%, On-campus, English
For exchange students
- 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.