Mathematics and Physics Seminar Series
AnnouncingAnnouncing
A Seminar Presentation
on Thursday
February 8, 2018
at 3.00 pm - 4.00 pm in
North Hall 102
at The University of New Haven
Exponential Time Differencing for
Nonlinear Advection-Diffusion-Reaction
Systems
Bruce A. Wade
Professor
Department of Mathematical Sciences
University of Wisconsin-Milwaukee
Abstract: We describe exponential time differencing algorithms (ETD) for nonlinear
parabolic partial differential equations of advection-diffusion-reaction type. These
are recently developed for the purpose of efficient computation through avoidance of
Newton iteration at each time step. In the algorithm development, operator splitting
ideas are introduced, which is an additional advantage of ETD schemes.
We discuss several test problems indicating solid performance of the algorithm, and
we finish with various applications from areas such as bio-mathematics, ocean wave
simulation and nonlinear optics( Nonlinear Schroedinger Equation ), and financial engi-
neering.
Fur ther Information
For further information, please contact Dr. Yasanthi Kottegoda at the Department of Mathematics and Physics,
Office: Maxcy 315, 203-932-1206, YKottegoda@newhaven.edu.