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 hp
Autumn Term 2018
Lectures begin on week starting 5 November 2018
Lectures end during the week of 14 January 2019
English (upon request)
Type of studies
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 equivalent to Swedish upper secondary course English 5/A. Where the language of instruction is Swedish, applicants must prove proficiency in Swedish to the level required for basic eligibility for higher studies.
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.
Online applications are now open. You will be transferred to Universityadmissions.se.
Application deadline is
16 April 2018.