Welcome to the Rossmanith Research Lab! We work on problems in computational mathematics with application to problems in plasma physics, radiative transfer, and fluid dynamics. If you are interested in collaborations, please contact us. If you are a student interested in joining our group, we welcome graduate students with a strong background or interest in applied and/or computational mathematics through the ISU Graduate Program in Applied Mathematics.

The main focus of our work is on the development, analysis, and implementation of numerical methods for problems that can be described, either fully or partially, by a system of nonlinear hyperbolic partial differential equations (PDEs). We work on a variety of mathematical models from fluid dynamics, plasma physics, and astrophysics, including the following nonlinear hyperbolic systems: (1) Magnetohydrodynamics (MHD), (2) Euler-Maxwell, (3) Vlasov-Poisson, (4) Vlasov-Maxwell, and (5) the Einstein equations of general relativity. We work on several types of numerical methods including: (1) Wave Propagation Schemes, (2) Residual Distribution Schemes, (3) Discontinuous Galerkin Schemes, and (4) WENO Schemes.