36 citations · 179 across the 12 of their papers we have counts for
4 papers · 1 filter
High-order fully well-balanced numerical methods for one-dimensional blood flow with discontinuous properties, friction and gravity
Ernesto Pimentel-García, Lucas O. Müller, Carlos Parés
We present well-balanced, high-order, semi-discrete numerical schemes for one-dimensional blood flow models with discontinuous mechanical properties and algebraic source terms repr…
Collocation Methods for High-Order Well-Balanced Methods for Systems of Balance Laws
Irene Gómez-Bueno, Manuel Jesús Castro Díaz, Carlos Parés +1
In some previous works, two of the authors introduced a technique to design high-order numerical methods for one-dimensional balance laws that preserve all their stationary solutio…
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…
Approximate well-balanced WENO finite difference schemes using a global-flux quadrature method with multi-step ODE integrator weights
Maria Kazolea, Carlos Parés Madroñal, Mario Ricchiuto
In this work, high-order discrete well-balanced methods for one-dimensional hyperbolic systems of balance laws are proposed. We aim to construct a method whose discrete steady stat…