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Numerical Methods for Partial Differential Equations

  • Number of credits 7.5 credits
  • Level Master’s level
  • Starting Autumn Term 2022

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

Visa tillfällen för föregående termin Autumn Term 2022 Det finns inga senare terminer för kursen

The information below is only for exchange students

Starts

1 November 2022

Ends

15 January 2023

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.

Selection

Students applying for courses within a double degree exchange agreement, within the departments own agreements will be given first priority. Then will - in turn - candidates within the departments own agreements, faculty agreements, central exchange agreements and other departmental agreements be selected.

Application code

UMU-A5822

Application

This application round is only intended for nominated exchange students. Information about deadlines can be found in the e-mail instruction that nominated students receive. The application period is closed.

Contact us

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Contactperson for the course is:
Study counselor Lars-Daniel Öhman