36 citations · 101 across the 9 of their papers we have counts for
10 papers
Structure-preserving Local Discontinuous Galerkin method for nonlinear cross-diffusion systems
Sergio Gómez, Ansgar Jüngel, Ilaria Perugia
We present and analyze a structure-preserving method for the approximation of solutions to nonlinear cross-diffusion systems, which combines a Local Discontinuous Galerkin spatial…
Asymptotic-preserving hybridizable discontinuous Galerkin method for the Westervelt quasilinear wave equation
Sergio Gómez, Mostafa Meliani
We discuss the asymptotic-preserving properties of a hybridizable discontinuous Galerkin method for the Westervelt model of ultrasound waves. More precisely, we show that the propo…
Non-resonant electric quantum control of individual on-surface spins
Santiago A. Rodríguez, Sergio S. Gómez, Joaquín Fernández-Rossier +1
Quantum control techniques play an important role in manipulating and harnessing the properties of different quantum systems, including isolated atoms. Here, we propose to achieve…
mdendro: An R package for extended agglomerative hierarchical clustering
Alberto Fernández, Sergio Gómez
"mdendro" is an R package that provides a comprehensive collection of linkage methods for agglomerative hierarchical clustering on a matrix of proximity data (distances or similari…
Pattern formation and bifurcation analysis of delay induced fractional-order epidemic spreading on networks
Jiaying Zhou, Yong Ye, Alex Arenas +2
The spontaneous emergence of ordered structures, known as Turing patterns, in complex networks is a phenomenon that holds potential applications across diverse scientific fields, i…
A triadic approximation reveals the role of interaction overlap on the spread of complex contagions on higher-order networks
Giulio Burgio, Sergio Gómez, Alex Arenas
Contagion processes relying on the exposure to multiple sources are prevalent in social systems, and are effectively represented by hypergraphs. In this Letter, we derive a mean-fi…
On polynomial Trefftz spaces for the linear time-dependent Schrödinger equation
Sergio Gómez, Andrea Moiola, Ilaria Perugia +1
We study the approximation properties of complex-valued polynomial Trefftz spaces for the -dimensional linear time-dependent Schrödinger equation. More precisely, we prove t…
Design and performance of a space-time virtual element method for the heat equation on prismatic meshes
Sergio Gómez, Lorenzo Mascotto, Ilaria Perugia
We present a space-time virtual element method for the discretization of the heat equation, which is defined on general prismatic meshes and variable degrees of accuracy. Strategie…
A space-time DG method for the Schrödinger equation with variable potential
Sergio Gómez, Andrea Moiola
We present a space-time ultra-weak discontinuous Galerkin discretization of the linear Schrödinger equation with variable potential. The proposed method is well-posed and quasi-opt…
Controlled quantum state transfer in spin chains at the Quantum Speed Limit
Diego S. Acosta Coden, Sergio S. Gómez, Alejandro Ferrón +1
The Quantum Speed Limit can be found in many different situations, in particular in the propagation of information through quantum spin chains. In homogeneous chains it implies tha…