### Exponential Time Differencing (ETD) Schemes for Nonlinear Reaction-Diffusion Systems

- Series
- Applied and Computational Mathematics Seminar
- Time
- Monday, August 27, 2012 - 14:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Bruce A. Wade – Department of Mathematical Sciences, University of Wisconsin-Milwaukee

We discuss various exponential time differencing (ETD) schemes
designed to handle nonlinear parabolic systems. The ETD schemes use certain
Pade approximations of the matrix exponential function. These ETD schemes
have potential to be
implemented in parallel and their performance is very robust with respect to
the type of PDE.
They are unconditionally stable and computationally very fast due to the
technique of computing
the nonlinear part explicitly. To handle the problem of irregular initial
or boundary data
an adaptive ETD scheme is utilized, which adds sufficient damping of
spurious oscillations.
We discuss algorithm development, theory and applications.