Sergio Gómez

26 papers Journal 26
YearRankTypeTitle / Venue / Authors
2026 J jnl
A structure-preserving LDG discretization of the Fisher-Kolmogorov equation for modeling neurodegenerative diseases.
Math. Comput. Simul.
Paola F. Antonietti, Mattia Corti, Sergio Gómez, Ilaria Perugia
2026 J jnl
Inf-sup stable space-time Local Discontinuous Galerkin method for the heat equation.
J. Sci. Comput.
Sergio Gómez, Chiara Perinati, Paul Stocker
2026 J jnl
On the Compact Discontinuous Galerkin method for polytopal meshes.
CoRR
Mattia Corti, Sergio Gómez
2025 J jnl
A structure-preserving LDG discretization of the Fisher-Kolmogorov equation for modeling neurodegenerative diseases.
CoRR
Paola F. Antonietti, Mattia Corti, Sergio Gómez, Ilaria Perugia
2025 J jnl
Structure-preserving local discontinuous Galerkin discretization of conformational conversion systems.
CoRR
Paola F. Antonietti, Mattia Corti, Sergio Gómez, Ilaria Perugia
2024 J jnl
A space-time DG method for the Schrödinger equation with variable potential.
Adv. Comput. Math.
Sergio Gómez, Andrea Moiola
2024 J jnl
Inf-sup stable space-time Local Discontinuous Galerkin method for the heat equation.
CoRR
Sergio Gómez, Chiara Perinati, Paul Stocker
2024 J jnl
Space-Time Virtual Elements for the Heat Equation.
SIAM J. Numer. Anal.
Sergio Gómez, Lorenzo Mascotto, Andrea Moiola, Ilaria Perugia
2024 J jnl
Structure-preserving Local Discontinuous Galerkin method for nonlinear cross-diffusion systems.
CoRR
Sergio Gómez, Ansgar Jüngel, Ilaria Perugia
2023 J jnl
A space-time DG method for the Schrödinger equation with variable potential.
CoRR
Sergio Gómez, Andrea Moiola
2023 J jnl
Design and performance of a space-time virtual element method for the heat equation on prismatic meshes.
CoRR
Sergio Gómez, Lorenzo Mascotto, Ilaria Perugia
2023 J jnl
On polynomial Trefftz spaces for the linear time-dependent Schrödinger equation.
Appl. Math. Lett.
Sergio Gómez, Andrea Moiola, Ilaria Perugia, Paul Stocker
2023 J jnl
On polynomial Trefftz spaces for the linear time-dependent Schrödinger equation.
CoRR
Sergio Gómez, Andrea Moiola, Ilaria Perugia, Paul Stocker
2022 J jnl
A Space-Time Trefftz Discontinuous Galerkin Method for the Linear Schrödinger Equation.
SIAM J. Numer. Anal.
Sergio Gómez, Andrea Moiola
2022 J jnl
Space-time virtual elements for the heat equation.
CoRR
Sergio Gómez, Lorenzo Mascotto, Andrea Moiola, Ilaria Perugia
2021 J jnl
A space-time Trefftz discontinuous Galerkin method for the linear Schrödinger equation.
CoRR
Sergio Gómez, Andrea Moiola
2021 J jnl
A unified framework of high order structure-preserving B-splines Galerkin methods for coupled nonlinear Schrödinger systems.
Comput. Math. Appl.
Paul Castillo, Sergio Gómez
2021 J jnl
An interpolatory directional splitting-local discontinuous Galerkin method with application to pattern formation in 2D/3D.
Appl. Math. Comput.
Paul Castillo, Sergio Gómez
2021 J jnl
Conservative local discontinuous Galerkin methods for a generalized system of strongly coupled nonlinear Schrödinger equations.
Commun. Nonlinear Sci. Numer. Simul.
Paul Castillo, Sergio Gómez
2021 J jnl
Structure preserving - Field directional splitting difference methods for nonlinear Schrödinger systems.
Appl. Math. Lett.
Axi Aguilera, Paul Castillo, Sergio Gómez
2020 J jnl
Conservative Local Discontinuous Galerkin method for the fractional Klein-Gordon-Schrödinger system with generalized Yukawa interaction.
Numer. Algorithms
Paul Castillo, Sergio Gómez
2020 J jnl
Conservative super-convergent and hybrid discontinuous Galerkin methods applied to nonlinear Schrödinger equations.
Appl. Math. Comput.
Paul Castillo, Sergio Gómez
2020 J jnl
Interpolatory super-convergent discontinuous Galerkin methods for nonlinear reaction diffusion equations on three dimensional domains.
Commun. Nonlinear Sci. Numer. Simul.
Paul Castillo, Sergio Gómez
2020 J jnl
On the Convergence of the Local Discontinuous Galerkin Method Applied to a Stationary One Dimensional Fractional Diffusion Problem.
J. Sci. Comput.
Paul Castillo, Sergio Gómez
2019 J jnl
Improving the accuracy of LDG approximations on coarse meshes.
Math. Comput. Simul.
Paul Castillo, Sergio Gómez, Sergio Manzanarez
2019 J jnl
Optimal stabilization and time step constraints for the forward Euler-Local Discontinuous Galerkin method applied to fractional diffusion equations.
J. Comput. Phys.
Paul Castillo, Sergio Gómez