Speaker: Kelly Buch
Title: Spectral integration applied to the-point boundary problem
Spectral differentiation is a common method for computing numerical solutions for PDE problems. This method involves an ill-conditioned spectral differentiation matrix, and special care must be taken to avoid issues caused by this ill-conditioning.
We will explore an alternative method, the spectral integration method, proposed by Greengard for the two point boundary problem. Spectral integration uses Chebyshev nodes and recasts the PDE as an integral equation. We will discuss the condition, convergence, and stability of spectral integration and conclude with a few key examples to highlight the utility of this method.
Please contact the organizer for instructions
Wednesday, October 28 at 4:45pm to 5:45pmVirtual Event