3 papers
math.NA2024
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…
math.NA2024
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…
quant-ph2020
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…