Research Team

Current Research Group

Daniel R. Reynolds – PI

Current: Thomas I. Seidman Endowed Chair in Applied Mathematics, Department of Mathematics and Statistics at University of Maryland Baltimore County.

Previous:

• Professor, Department of Mathematics at Southern Methodist University (2008-2025).
• Department Chair, Department of Mathematics at Southern Methodist University (2021-2024).
• Postdoctoral researcher, Department of Mathematics and the Center for Astrophysics and Space Sciences at the University of California, San Diego (2005-2008).
• Postdoctoral researcher, Center for Applied Scientific Computing at Lawrence Livermore National Laboratory (2003-2005).
• PhD in Computational and Applied Mathematics from Rice University in 2003.
• BA in Mathematics from Southwestern University in 1998.

Mustafa Aggul – Postdoctoral Researcher

Associate Professor, Mathematics, Hacettepe Univ. PhD, Michigan Technological Univ. (2018) Research topics: high Reynolds number fluid flows, temporally adaptive multirate infinitesimal (MRI) methods, SUNDIALS/ARKODE development.

Sylvia Amihere – Postdoctoral Researcher

PhD, Mathematics, University of Alabama (2024) Research topics: Poisson-Boltzmann solvers, temporally adaptive multirate infinitesimal (MRI) methods, SUNDIALS/ARKODE development.

Yifan Hu – Postdoctoral Researcher

PhD, Applied Mathematics, Iowa State University (2025) Research topics: spacetime Discontinuous Galerkin methods, Vlasov-Poisson equations, temporally adaptive implicit-explicit (ImEx) and multirate infinitesimal (MRI) methods for fusion plasmas, SUNDIALS/ARKODE development.

Dashon Mitchell – Ph.D. Student

Research topic: scientific machine learning approaches for automatically splitting initial-value problems for implicit-explicit (ImEx) and multirate infinitesimal (MRI) time integration methods.

Yan Jiang – Ph.D. Student

Research topic: TBD.

Research Group Alumni

Alex Fish

Current: Software Engineer 3, Peraton PhD student (graduated 2023) Dissertation: “Adaptive Multirate Infinitesimal Time Integration”

Rujeko Chinomona

Current: Postdoctoral Researcher, Los Alamos National Laboratory PhD student (graduated 2021) Dissertation: “High-order flexible multirate integrators for multiphysics applications”

Ting Yan

Current: Senior Scientist, Halliburton, Houston, TX PhD student (graduated 2020) Dissertation: “Advection-reaction-diffusion model of drug concentration in a lymph node”

Vu Thai Luan

Current: Assistant professor, Texas Tech University Postdoctoral researcher (2017-2019)

Jean Sexton

Current: Research Software Engineer, Lawrence Berkeley National Laboratory PhD student (graduated 2017) Dissertation: “High-order relaxed multirate infinitesimal step methods for multiphysics applications”

David Gardner

Current: Computational Scientist, Lawrence Livermore National Laboratory PhD student (graduated 2014) Dissertation: “Filters for the improvement of multiscale data from atomistic simulations”

Hilari Tiedeman

Current: Software Developer, General Motors PhD student (graduated 2012) Dissertation: “Multilevel Schur complement preconditioning for multiphysics simulations”

Aleena Taufiq

Current: Principal Data Scientist, Verizon Undergraduate researcher (graduated 2018)

Micah Thornton

Current: PhD student, Biostatistics, Southern Methodist University Undergraduate researcher (graduated 2017)

Nicholas Saulnier

Current: Digital Applications Engineer, Texas Instruments Undergraduate researcher (graduated 2015)

Samuel White

Current: Biostatistical Research Analyst, BlueCross BlueShield Undergraduate researcher (graduated 2013)