194 citations · 454 across the 22 of their papers we have counts for
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Outflow Positivity Limiting for Hyperbolic Conservation Laws. Part I: Framework and Recipe
Evan Alexander Johnson, James A. Rossmanith
Numerical methods for hyperbolic conservation laws are needed that efficiently mimic the constraints satisfied by exact solutions, including material conservation and positivity, w…
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
Quadrature-based moment-closure methods are a class of approximations that replace high-dimensional kinetic descriptions with lower-dimensional fluid models. In this work we invest…
A high-order unstaggered constrained transport method for the 3D ideal magnetohydrodynamic equations based on the method of lines
Christiane Helzel, James A. Rossmanith, Bertram Taetz
Numerical methods for solving the ideal magnetohydrodynamic (MHD) equations in more than one space dimension must confront the challenge of controlling errors in the discrete diver…