**Editorship**

- Editorial
Board Member
**, Journal of Scientific Computing.**Jan 2014 - Present. - Associate
Editor,
**Communications on Applied Mathematics and Computation****.**Jan 2019 - Present. - Guest
Editor,
**Pure and Applied Mathematics Quarterly**. 2016 - 2018.

**Current Research Interests**

**Numerical Methods and Scientific Computing**: researching high order numerical methods for PDEs, including weighted ENO finite volume / finite difference methods, discontinuous Galerkin (DG) finite element methods, large time step schemes (e.g., implicit integration factor schemes and their high dimensional implementation, and other exponential integrators), fast and robust iterative methods (e.g., fast sweeping methods for steady state problems, homotopy methods, etc), and high accuracy numerical methods on unstructured meshes for complex domain geometries, etc.

**Applications**: numerical solution of PDEs arising in computational biology (e.g., morphogenesis and tissue patterning), and computational physics (e.g., interaction of shock waves with vortices, interaction of shock waves with Rayleigh-Taylor flow, and other computational fluid dynamics problems); computational analysis of physical and biological problems.

**Examples:**

**New high order Krylov IIF schemes**

**WENO fast sweeping methods**

**DG fast sweeping methods**

**Matlab codes for
the implicit integration factor methods**

ACMS Colloquium: 2011-2012

Notre Dame Conferences:

Midwest Numerical
Analysis Days 2012 - Website ** **