Research

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Research Blurb

Welcome to the Rossmanith Research Lab! We work on problems in computational mathematics with application to problems in radiative transfer, fluid dynamics, plasma physics, and astrophysics. 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 hyperbolic partial differential equations (PDEs). We work on a variety of mathematical models from radiative transfer, fluid dynamics, plasma physics, and astrophysics, including the following hyperbolic systems: (1) Radiative Transfer, (2) Magnetohydrodynamics (MHD), (3) Euler-Maxwell, (4) Vlasov-Poisson and 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.



Papers



Current Students (BS, MS, and PhD)

  • Dauda Gambo (PhD, ISU, 2024 - Present)
    • Research topic: DG schemes for multifluid problems
  • Joanna Held (PhD, ISU, 2022 - Present)
    • Research topic: Radon transform methods for radiative transfer models
  • Yifan Hu (PhD, ISU, 2021 - Present)
    • Research topic:  DG schemes for simulating laser wakefield acceleration
  • Preeti Sar (PhD, ISU, 2021 - Present)
    • Research topic:  DG schemes for gas kinetics
  • Ian Pelakh (PhD, ISU, 2018 - Present)
    • Research topic:  Lax-Wendroff DG Schemes for magnetohydrodynamics


Former Students (PhD)



Former Students (MS)



Former Students (BS)

  • Boqian Shen (BS, 2017, ISU)
    • Undergraduate Research:  A Particle-Based Numerical Method for Solving Vlasov Models in Plasma Simulations
    • Gradudate school:  Department of Computational and Applied Mathematics, Rice University
  • Scott Moe (BS, 2011, UW-Madison)
    • Undergraduate Research:  Adaptive Mesh Refinement for Discontinuous Galerkin Methods
    • Gradudate school:  Department of Applied Mathematics, University of Washington


Former Students (REU)