Sergio Gómez

Publication Activity (10 Years)

Years Active: 2019-2024
Publications (10 Years): 19

Top Topics

Distance Transform

Diffusion Equation

Structure Preserving

Top Venues

Appl. Math. Lett.

SIAM J. Numer. Anal.

Commun. Nonlinear Sci. Numer. Simul.

Publications

Sergio Gómez, Ansgar Jüngel, Ilaria Perugia
Structure-preserving Local Discontinuous Galerkin method for nonlinear cross-diffusion systems. CoRR (2024)
Sergio Gómez, Andrea Moiola
A space-time DG method for the Schrödinger equation with variable potential. Adv. Comput. Math. 50 (2) (2024)
Sergio Gómez, Lorenzo Mascotto, Andrea Moiola, Ilaria Perugia
Space-Time Virtual Elements for the Heat Equation. SIAM J. Numer. Anal. 62 (1) (2024)
Sergio Gómez, Andrea Moiola, Ilaria Perugia, Paul Stocker
On polynomial Trefftz spaces for the linear time-dependent Schrödinger equation. CoRR (2023)
Sergio Gómez, Andrea Moiola, Ilaria Perugia, Paul Stocker
On polynomial Trefftz spaces for the linear time-dependent Schrödinger equation. Appl. Math. Lett. 146 (2023)
Sergio Gómez, Lorenzo Mascotto, Ilaria Perugia
Design and performance of a space-time virtual element method for the heat equation on prismatic meshes. CoRR (2023)
Sergio Gómez, Andrea Moiola
A space-time DG method for the Schrödinger equation with variable potential. CoRR (2023)
Sergio Gómez, Lorenzo Mascotto, Andrea Moiola, Ilaria Perugia
Space-time virtual elements for the heat equation. CoRR (2022)
Sergio Gómez, Andrea Moiola
A Space-Time Trefftz Discontinuous Galerkin Method for the Linear Schrödinger Equation. SIAM J. Numer. Anal. 60 (2) (2022)
Paul Castillo, Sergio Gómez
An interpolatory directional splitting-local discontinuous Galerkin method with application to pattern formation in 2D/3D. Appl. Math. Comput. 397 (2021)
Paul Castillo, Sergio Gómez
Conservative local discontinuous Galerkin methods for a generalized system of strongly coupled nonlinear Schrödinger equations. Commun. Nonlinear Sci. Numer. Simul. 99 (2021)
Paul Castillo, Sergio Gómez
A unified framework of high order structure-preserving B-splines Galerkin methods for coupled nonlinear Schrödinger systems. Comput. Math. Appl. 102 (2021)
Axi Aguilera, Paul Castillo, Sergio Gómez
Structure preserving - Field directional splitting difference methods for nonlinear Schrödinger systems. Appl. Math. Lett. 119 (2021)
Paul Castillo, Sergio Gómez
On the Convergence of the Local Discontinuous Galerkin Method Applied to a Stationary One Dimensional Fractional Diffusion Problem. J. Sci. Comput. 85 (2) (2020)
Paul Castillo, Sergio Gómez
Conservative Local Discontinuous Galerkin method for the fractional Klein-Gordon-Schrödinger system with generalized Yukawa interaction. Numer. Algorithms 84 (1) (2020)
Paul Castillo, Sergio Gómez
Interpolatory super-convergent discontinuous Galerkin methods for nonlinear reaction diffusion equations on three dimensional domains. Commun. Nonlinear Sci. Numer. Simul. 90 (2020)
Paul Castillo, Sergio Gómez
Conservative super-convergent and hybrid discontinuous Galerkin methods applied to nonlinear Schrödinger equations. Appl. Math. Comput. 371 (2020)
Paul Castillo, Sergio Gómez
Optimal stabilization and time step constraints for the forward Euler-Local Discontinuous Galerkin method applied to fractional diffusion equations. J. Comput. Phys. 394 (2019)
Paul Castillo, Sergio Gómez, Sergio Manzanarez
Improving the accuracy of LDG approximations on coarse meshes. Math. Comput. Simul. 156 (2019)