Numerical Methods for Partial Differential Equations
7.5 credits
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.