20 citations · 52 across the 5 of their papers we have counts for
6 papers
Simultaneous reconstruction of two potentials for a nonconservative Schrödinger equation with dynamic boundary conditions
Hugo Carrllo, Alberto Mercado, Roberto Morales
In this article, we consider an inverse problem involving the simultaneous reconstruction of two real valued potentials for a Schrödinger equation with mixed boundary conditions: a…
Well-balanced adaptive compact approximate Taylor methods for systems of balance laws
H. Carrillo, E. Macca, C. Pares +1
Compact Approximate Taylor (CAT) methods for systems of conservation laws were introduced by Carrillo and Pares in 2019. These methods, based on a strategy that allows one to exten…
Towards Optimally Weighted Physics-Informed Neural Networks in Ocean Modelling
Taco de Wolff, Hugo Carrillo, Luis Martí +1
The carbon pump of the world's ocean plays a vital role in the biosphere and climate of the earth, urging improved understanding of the functions and influences of the ocean for cl…
An order-adaptive compact approximation Taylor method for systems of conservation laws
H. Carrillo, E. Macca, G. Russo +2
We present a new family of high-order shock-capturing finite difference numerical methods for systems of conservation laws. These methods, called Adaptive Compact Approximation Tay…
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…
Compact Approximate Taylor methods for systems of conservation laws
Hugo Carrillo, Carlos Parés
A new family of high order methods for systems of conservation laws are introduced: the Compact Approximate Taylor (CAT) methods. These methods are based on centered (2p + 1)-point…