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.
Numerical Methods for Partial Differential Equations, 7.5 credits
Autumn Term 2024
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.
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.
