High-order well-balanced methods for systems of balance laws: a control-based approach

2020/12/16 by Irene Gómez-Bueno, Manuel J. Castro, Carlos Parés · 28 citations
Engineering · Mathematics · #Algorithm #Applied mathematics #Computation #Computational Fluid Dynamics and Aerodynamics #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory #Law #Mathematical analysis #Mathematical optimization #Mathematics #Nonlinear system #Numerical analysis #Ode #Operator (biology) #Quadrature (astronomy)

paper · open access · doi:10.1016/j.amc.2020.125820

published in Applied Mathematics and Computation 394, 125820 (Elsevier BV)

openalex publication_date 2020/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Citations

• Total variation diminishing Runge-Kutta schemes
• Well-Balanced High Order Extensions of Godunov's Method for Semilinear Balance Laws
• A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
• Well-balanced schemes to capture non-explicit steady states: Ripa model

Cited by

• Well-balanced high-order method for non-conservative hyperbolic PDEs with source terms: application to one-dimensional blood flow equations with gravity
• High-order fully well-balanced numerical methods for one-dimensional blood flow with discontinuous properties, friction and gravity
• Structure-preserving nodal DG method for Euler equations with gravity II: general equilibrium states