3 papers
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…
math.NA2020
Lax Wendroff approximate Taylor methods with fast and optimized weighted essentially non-oscillatory reconstructions
Hugo Carrillo, Carlos Parés, David Zorío
The goal of this work is to introduce new families of shock-capturing high-order numerical methods for systems of conservation laws that combine Fast WENO (FWENO) and Optimal WENO…
math.NA2020
Well-balanced high-order finite difference methods for systems of balance laws
Carlos Parés, Carlos Parés-Pulido
In this paper, high order well-balanced finite difference weighted essentially non-oscillatory methods to solve general systems of balance laws are presented. Two different familie…