2 papers
math.AP2025
Analysis of linear Boussinesq-type models coupled with static interfaces
José Galaz, Maria Kazolea, Antoine Rousseau
We derive a new approach to analyze the coupling of linear Boussinesq and Saint-Venant shallow water wave equations in the case where the interface remains at a constant position i…
math.NA2025
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…