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math.NA2025★ 28 cited
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…
math.NA2020
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…