28 citations · 28 across the 2 of their papers we have counts for
3 papers
High-order well-balanced methods for systems of balance laws: a control-based approach
Irene Gómez-Bueno, Manuel Jesús Castro Díaz, Carlos Parés
In some previous works, two of the authors have introduced a strategy to develop high-order numerical methods for systems of balance laws that preserve all the stationary solutions…
A well balanced finite volume scheme for general relativity
Elena Gaburro, Manuel J. Castro, Michael Dumbser
In this work we present a novel second order accurate well balanced (WB) finite volume (FV) scheme for the solution of the general relativistic magnetohydrodynamics (GRMHD) equatio…
High-order well-balanced finite volume schemes for hydrodynamic equations with nonlocal free energy
José A. Carrillo, Manuel J. Castro, Serafim Kalliadasis +1
We propose high-order well-balanced finite-volume schemes for a broad class of hydrodynamic systems with attractive-repulsive interaction forces and linear and nonlinear damping. O…