56 citations · 65 across the 2 of their papers we have counts for
3 papers
physics.comp-ph2009★ 9 cited
Extremum-Preserving Limiters for MUSCL and PPM
Michael Sekora, Phillip Colella
Limiters are nonlinear hybridization techniques that are used to preserve positivity and monotonicity when numerically solving hyperbolic conservation laws. Unfortunately, the orig…
astro-ph2006★ 56 cited
Block Structured Adaptive Mesh and Time Refinement for Hybrid, Hyperbolic + N-body Systems
Francesco Miniati, Phillip Colella
We present a new numerical algorithm for the solution of coupled collisional and collisionless systems, based on the block structured adaptive mesh and time refinement strategy (AM…
astro-ph2006
A Modified Higher Order Godunov's Scheme for Stiff Source Conservative Hydrodynamics
Francesco Miniati, Phillip Colella
Hyperbolic conservation laws with stiff source terms appear in the study of a variety of physical systems. Early work showed that the use of formally second-order accurate semi-imp…