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.