A discontinuous Galerkin method for the full two-fluid plasma model. - John Loverich; Uri Shumlak (Comput. Phys. Commun., 2005)

A high resolution wave propagation scheme for ideal Two-Fluid plasma equations. - Ammar Hakim; John Loverich; Uri Shumlak (J. Comput. Phys., 2006)

Spectral element spatial discretization error in solving highly anisotropic heat conduction equation. - E. T. Meier; V. S. Lukin; Uri Shumlak (Comput. Phys. Commun., 2010)

Advanced physics calculations using a multi-fluid plasma model. - Uri Shumlak; Robert Lilly; Noah Reddell; Éder Marinho Sousa; Bhuvana Srinivasan (Comput. Phys. Commun., 2011)

A priori mesh quality metric error analysis applied to a high-order finite element method. - W. Lowrie; V. S. Lukin; Uri Shumlak (J. Comput. Phys., 2011)

Modeling open boundaries in dissipative MHD simulation. - E. T. Meier; A. H. Glasser; V. S. Lukin; Uri Shumlak (J. Comput. Phys., 2012)

Discrete Calderon's projections on parallelepipeds and their application to computing exterior magnetic fields for FRC plasmas. - E. Kansa; Uri Shumlak; Semyon Tsynkov (J. Comput. Phys., 2013)

Dory-Guest-Harris instability as a benchmark for continuum kinetic Vlasov-Poisson simulations of magnetized plasmas. - G. V. Vogman; Phillip Colella; Uri Shumlak (J. Comput. Phys., 2014)

A blended continuous-discontinuous finite element method for solving the multi-fluid plasma model. - Éder Marinho Sousa; Uri Shumlak (J. Comput. Phys., 2016)

Conservative fourth-order finite-volume Vlasov-Poisson solver for axisymmetric plasmas in cylindrical (r, vr, vθ) phase space coordinates. - G. V. Vogman; Uri Shumlak; Phillip Colella (J. Comput. Phys., 2018)

Time-discretization of a plasma-neutral MHD model with a semi-implicit leapfrog algorithm. - Sina Taheri; Jacob R. King; Uri Shumlak (Comput. Phys. Commun., 2022)

Computationally efficient high-fidelity plasma simulations by coupling multi-species kinetic and multi-fluid models on decomposed domains. - Iman Anwar Michael Datta; Uri Shumlak (J. Comput. Phys., 2023)

Hybridizable discontinuous Galerkin methods for solving the two-fluid plasma model. - Andrew Ho; Uri Shumlak (CoRR, 2024)

Robust and conservative dynamical low-rank methods for the Vlasov equation via a novel macro-micro decomposition. - Jack Coughlin; Jingwei Hu; Uri Shumlak (J. Comput. Phys., 2024)