Research interests

Questions across mathematics, computing, and Earth science

Methods and software for solving complex physical problems, from numerical PDEs to large-scale geophysical simulations.

01

Computational Mathematics and Numerical PDEs

Accurate numerical methods for partial differential equations and large-scale simulations.

02

High Performance Computing (HPC) and GPU Computing

Matrix-free algorithms, GPU computing, and scalable solvers that turn theory into performance.

Matrix-free SBP-SAT finite difference methods and the multigrid preconditioner on GPUs

03

Computational Geophysics and Seismic Imaging

Simulation and imaging techniques for understanding earthquakes and subsurface dynamics.

Incorporating Full Elastodynamic Effects and Dipping Fault Geometries in Community Code Verification Exercises for Simulations of Earthquake Sequences and Aseismic Slip (SEAS)