An embedded variable step IMEX scheme for the incompressible Navier-Stokes equations. - Victor P. DeCaria; Michael Schneier (CoRR, 2020)

An Artificial Compression Reduced Order Model. - Victor P. DeCaria; Traian Iliescu; William J. Layton; Michael McLaughlin; Michael Schneier (SIAM J. Numer. Anal., 2020)

A Variable Stepsize, Variable Order Family of Low Complexity. - Victor P. DeCaria; Ahmet Guzel; William J. Layton; Yi Li (SIAM J. Sci. Comput., 2021)

Analysis of a New Implicit Solver for a Semiconductor Model. - Victor P. DeCaria; Cory D. Hauck; Ming Tse P. Laiu (SIAM J. Sci. Comput., 2021)

Asymptotic Preserving Discontinuous Galerkin Methods for a Linear Boltzmann Semiconductor Model. - Victor P. DeCaria; Cory D. Hauck; Stefan Schnake (CoRR, 2022)

A general linear method approach to the design and optimization of efficient, accurate, and easily implemented time-stepping methods in CFD. - Victor P. DeCaria; Sigal Gottlieb; Zachary J. Grant; William J. Layton (J. Comput. Phys., 2022)

Numerical analysis of a hybrid method for radiation transport. - Andrés Galindo-Olarte; Victor P. DeCaria; Cory D. Hauck (CoRR, 2023)

An Asymptotic Preserving Discontinuous Galerkin Method for a Linear Boltzmann Semiconductor Model. - Victor P. DeCaria; Cory D. Hauck; Stefan R. Schnake (SIAM J. Numer. Anal., 2024)