Mathematics Applied Mathematics Seminar: Zhimin Zhang
This event is in the past.
When:
September 27, 2023
11:30 a.m. to 12:30 p.m.
11:30 a.m. to 12:30 p.m.
Where:
Nelson Library Faculty Administration Bldg
#1146
Event category:
Seminar
In-person
Schedule:
11:30am - 12:30pm on Wednesday Sept 27 in Nelson Room
Speaker:
Dr. Zhimin Zhang
Title:
Why are spectral methods preferred in PDE eigenvalue computations -- in some cases?
Abstract:
When approximating PDE eigenvalue problems by numerical methods such as finite difference and finite element, it is common knowledge that only a small portion of numerical eigenvalues are reliable.
As a comparison, spectral methods may perform extremely well in some situation, especially for 1-D problems and some special higher dimensional situations.
In addition, we demonstrate that spectral methods can outperform traditional methods and the state-of-the-art method in 2-D problems even with singularities.