Speaker: Vu Thai Luan (Southern Methodist University)

Title: Recent developments of exponential integrators and their applications

Abstract: In recent years, exponential integrators have emerged as an efficient alternative to standard time integrators for stiff PDEs. They are fully explicit and do not suffer from the stability restriction imposed by the CFL condition for the linear part. It has also been shown that exponential integrators can take much larger time steps than implicit/IMEX methods while maintaining the same level of accuracy. Thus they can offer significant computational savings, particularly for large-scale stiff systems where no efficient preconditioner is available. In this talk, I will present the basic idea of constructing exponential integrators, derive new methods, and show their applications in meteorology and visual computing.