Colloquium
Time:
Mathematics Colloquium
Date:
4:00 pm –
4:50 pm
Avery Hall
Room: 115
1144 T St
Lincoln NE 68508
Lincoln NE 68508
Additional Info: AVH
Speaker: Patrick Guidotti
Affiliation: University of California - Irvine
Local host: Adam Larios
Title: Solving Boundary Value Problems on a General Domain Using a Uniform Grid on a Periodic Box.
Affiliation: University of California - Irvine
Local host: Adam Larios
Title: Solving Boundary Value Problems on a General Domain Using a Uniform Grid on a Periodic Box.
Additional Public Info:
A numerical methodology will be presented which allows to extend the advantages of spectral methods to general domains. Using boundary value problems as an example, it will be demonstrated how to synthesize appropriate numerical kernels for the operators involved. The methods can be thought of as fully numerical boundary integral methods. They also yield a way to avoid singular kernels, which make their numerical implementation straightforward and accurate. The inevitable dramatic increase in condition number can be effectively mitigated by natural preconditioning procedures.
Refreshments will be served 3:30-4:00 in 348 Avery. The talk is free and open to the public.