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Numerical Methods for Partial Differential Equations

  • Number of credits 7.5 credits
  • Level Master’s level
  • Starting Autumn Term 2024

About the course

Many physical phenomena such as fluid flow, quantum mechanics, elastic materials, heat conduction and electromagnetism are modeled by partial differential equations (PDE). This course provides an overview of numerical methods for solving PDE, including:

  • PDE formulations and reformulation as a boundary integral equation
  • formulation in the frequency domain and time domain
  • discretization through local and global basis functions

We also introduce basic numerical analysis and implementation of the following methods, common in industrial applications:

  • The finite difference method (FDM)
  • The finite element method (FEM)

Applications of the presented theory and methods are demonstrated



In a degree, this course may not be included together with another course with a similar content. If unsure, students should ask the Director of Studies in Mathematics and Mathematical Statistics. The course can also be included in the subject area of computational science and engineering. 

Application and eligibility

Numerical Methods for Partial Differential Equations, 7.5 credits

Det finns inga tidigare terminer för kursen Autumn Term 2024 Det finns inga senare terminer för kursen

Starts

1 November 2024

Ends

19 January 2025

Study location

Umeå

Language

English

Type of studies

Daytime, 50%

Required Knowledge

The course requires 90 ECTS including 22,5 ECTS in Calculus including a course in Multivariable Calculus, a course in Linear Algebra, a course in Programming Methodology and a basic course in Numerical Methods. Proficiency in English and Swedish equivalent to the level required for basic eligibility for higher studies.

Entry requirements

Selection

Guaranteed place 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

UMU-58013

Application

Application deadline was 15 April 2024. 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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Contactperson for the course is:
Study counselor Lars-Daniel Öhman