Spectral Methods for PDEs
Shaun Lui (University of Manitoba) , Mikael Slevinsky (University of Manitoba)Jan 6, 2025 — Apr 9, 2025
About the course
Spectral methods are numerical methods for solving PDEs. When the solution is analytic, the convergence rate is exponential. The first part of this course gives an introduction to spectral methods. The emphasis is on the analysis of these methods including truncation and interpolation error estimates, and convergence and condition number estimates. The second part of the course focuses on fast algorithms for orthogonal polynomials. These algorithms leverage data-sparsities that are present in many of the problems when solved by orthogonal polynomial expansions.
Registration
This course is available for registration under the Western Dean's Agreement. To register, you must obtain the approval of the course instructor and you must complete the Western Dean's agreement form , using the details below. The completed form should be signed by your home institution department and school of graduate studies, then returned to the host institution of the course.
Enrollment Details
- Course Name
- Spectral Methods for PDEs
- Date
- Jan 6, 2025 — Apr 9, 2025
- Course Number
- MATH8410
- Section Number
- Section Code
Instructor(s)
For help with completing the Western Dean’s agreement form, please contact the graduate student program coordinator at your institution. For more information about the agreement, please see the Western Dean's Agreement website
Other Course Details
Remote Access
Lectures will be delivered via Zoom using iPad with GoodNotes.