A Wave Propagation Method for Conservation Laws and Balance Laws with Spatially Varying Flux Functions. - Derek S. Bale; Randall J. LeVeque; Sorin Mitran; James A. Rossmanith (SIAM J. Sci. Comput., 2003)

A high-resolution constrained transport method with adaptive mesh refinement for ideal MHD. - James A. Rossmanith (Comput. Phys. Commun., 2004)

A wave propagation method for hyperbolic systems on the sphere. - James A. Rossmanith (J. Comput. Phys., 2006)

An Unstaggered, High-Resolution Constrained Transport Method for Magnetohydrodynamic Flows. - James A. Rossmanith (SIAM J. Sci. Comput., 2006)

A class of residual distribution schemes and their relation to relaxation systems. - James A. Rossmanith (J. Comput. Phys., 2008)

An unstaggered constrained transport method for the 3D ideal magnetohydrodynamic equations. - Christiane Helzel; James A. Rossmanith; Bertram Taetz (J. Comput. Phys., 2011)

A positivity-preserving high-order semi-Lagrangian discontinuous Galerkin scheme for the Vlasov-Poisson equations. - James A. Rossmanith; David C. Seal (J. Comput. Phys., 2011)

A High-Order Unstaggered Constrained-Transport Method for the Three-Dimensional Ideal Magnetohydrodynamic Equations Based on the Method of Lines. - Christiane Helzel; James A. Rossmanith; Bertram Taetz (SIAM J. Sci. Comput., 2013)

A class of quadrature-based moment-closure methods with application to the Vlasov-Poisson-Fokker-Planck system in the high-field limit. - Yongtao Cheng; James A. Rossmanith (J. Comput. Appl. Math., 2014)

Finite difference weighted essentially non-oscillatory schemes with constrained transport for ideal magnetohydrodynamics. - Andrew J. Christlieb; James A. Rossmanith; Qi Tang 001 (J. Comput. Phys., 2014)

Positivity-Preserving Discontinuous Galerkin Methods with Lax-Wendroff Time Discretizations. - Scott A. Moe; James A. Rossmanith; David C. Seal (J. Sci. Comput., 2017)

The Regionally Implicit Discontinuous Galerkin Method: Improving the Stability of DG-FEM. - Pierson T. Guthrey; James A. Rossmanith (SIAM J. Numer. Anal., 2019)

Simulating two-phase flows with thermodynamically consistent energy stable Cahn-Hilliard Navier-Stokes equations on parallel adaptive octree based meshes. - Makrand A. Khanwale; Alec D. Lofquist; Hari Sundar; James A. Rossmanith; Baskar Ganapathysubramanian (J. Comput. Phys., 2020)

Parallel Scaling of the Regionally-Implicit Discontinuous Galerkin Method with Quasi-Quadrature-Free Matrix Assembly. - Pierson T. Guthrey; James A. Rossmanith; Andrew J. Christlieb (CoRR, 2021)

Semi-implicit Hybrid Discrete (HTN) Approximation of Thermal Radiative Transfer. - Ryan G. McClarren; James A. Rossmanith; Minwoo Shin (CoRR, 2021)

Bounds-Preserving Lax-Wendroff Discontinuous Galerkin Schemes for Quadrature-Based Moment-Closure Approximations of Kinetic Models. - Erica R. Johnson; James A. Rossmanith; Christine Vaughan (CoRR, 2021)

A fully-coupled framework for solving Cahn-Hilliard Navier-Stokes equations: Second-order, energy-stable numerical methods on adaptive octree based meshes. - Makrand A. Khanwale; Kumar Saurabh; Milinda Fernando; Victor M. Calo; Hari Sundar; James A. Rossmanith; Baskar Ganapathysubramanian (Comput. Phys. Commun., 2022)

Semi-implicit Hybrid Discrete $ left( text {H}^T_N right) $ Approximation of Thermal Radiative Transfer. - Ryan G. McClarren; James A. Rossmanith; Minwoo Shin (J. Sci. Comput., 2022)

A projection-based, semi-implicit time-stepping approach for the Cahn-Hilliard Navier-Stokes equations on adaptive octree meshes. - Makrand A. Khanwale; Kumar Saurabh; Masado Ishii; Hari Sundar; James A. Rossmanith; Baskar Ganapathysubramanian (J. Comput. Phys., 2023)

Positivity-Preserving Lax-Wendroff Discontinuous Galerkin Schemes for Quadrature-Based Moment-Closure Approximations of Kinetic Models. - Erica R. Johnson; James A. Rossmanith; Christine Vaughan (J. Sci. Comput., 2023)

A novel splitting method for Vlasov-Ampere. - James A. Rossmanith; Christine Vaughan (CoRR, 2025)