| On the Conservation of Fractional Nonlinear Schrödinger Equation’s Invariants by the Local Discontinuous Galerkin Method P Castillo, S Gómez Journal of Scientific Computing 77 (3), 1444-1467, 2018 | 27 | 2018 |
| Conservative Local Discontinuous Galerkin method for the fractional Klein-Gordon-Schrödinger system with generalized Yukawa interaction P Castillo, S Gómez Numerical Algorithms 84 (1), 407-425, 2020 | 18 | 2020 |
| Conservative local discontinuous Galerkin methods for a generalized system of strongly coupled nonlinear Schrödinger equations. P Castillo, S Gómez Communications in Nonlinear Science and Numerical Simulation 99, 105836, 2021 | 9 | 2021 |
| Conservative super-convergent and hybrid discontinuous Galerkin methods applied to nonlinear Schrödinger equations P Castillo, S Gómez Applied Mathematics and Computation 371 (C), 124950, 2020 | 8 | 2020 |
| Structure preserving-field directional splitting difference methods for nonlinear Schrödinger systems A Aguilera, P Castillo, S Gómez Applied Mathematics Letters 119 (C), 107211, 2021 | 5 | 2021 |
| On the Convergence of the Local Discontinuous Galerkin Method Applied to a Stationary One Dimensional Fractional Diffusion Problem P Castillo, S Gómez Journal of Scientific Computing 85 (2), 2020 | 5 | 2020 |
| Optimal stabilization and time step constraints for the forward Euler-Local Discontinuous Galerkin method applied to fractional diffusion equations P Castillo, S Gómez Journal of Computational Physics 394 (C), 503-521, 2019 | 4 | 2019 |
| An interpolatory directional splitting-local discontinuous Galerkin method with application to pattern formation in 2D/3D P Castillo, S Gómez Applied Mathematics and Computation 397 (C), 125984, 2021 | 3 | 2021 |
| Interpolatory super-convergent discontinuous Galerkin methods for nonlinear reaction diffusion equations on three dimensional domains P Castillo, S Gómez Communications in Nonlinear Science and Numerical Simulation, 2020 | 3 | 2020 |
| A Space-Time Trefftz Discontinuous Galerkin Method for the Linear Schrödinger Equation S Gómez, A Moiola SIAM Journal on Numerical Analysis 60 (2), 688-714, 2022 | 2 | 2022 |
| A unified framework of high order structure-preserving B-splines Galerkin methods for coupled nonlinear Schrödinger systems P Castillo, S Gómez Computers & Mathematics with Applications 102, 45-53, 2021 | 2 | 2021 |
| High-order interpolatory Serendipity Virtual Element Method for semilinear parabolic problems S Gómez Calcolo 59 (3), 25, 2021 | 2 | 2021 |
| Conservación de invariantes de la ecuación de Schrödinger no lineal por el método LDG PE Castillo, SA Gómez Revista mexicana de física E 64 (1), 52-60, 2018 | 2 | 2018 |
| Space-time virtual elements for the heat equation S Gómez, L Mascotto, A Moiola, I Perugia arXiv preprint arXiv:2212.05343, 2022 | 1 | 2022 |
| Método conservativo de diferencias finitas de alto orden para una clase de sistemas de Schrödinger no lineales A Aguilear, P Castillo, G Sergio Revista Mexicana de Física E 19 (1), 010205, 2022 | | 2022 |
| Von Neumann analysis for the Local Discontinuous Galerkin method in 1D P Castillo, S Gómez Revista Integración 37 (2), 199-217, 2019 | | 2019 |
| Análisis de Von Neumann para el método Local Discontinuous Galerkin en 1D P Castillo, S Gómez Revista Integración, temas de matemáticas 37 (2), 199-217, 2019 | | 2019 |
| Improving the accuracy of LDG approximations on coarse meshes P Castillo, S Gómez, S Manzanarez Mathematics and Computers in Simulation 156, 310-326, 2019 | | 2019 |
| Aplicación del método Local Discontinuous Galerkin a ecuaciones con derivadas fraccionarias S Gómez Universidad de Puerto Rico, Recinto en Mayagüez, 2018 | | 2018 |
| Eficiencia del método LDG para aproximar la solución de los problemas de Bratu y de Troesch PE Castillo, SA Gómez Revista de la Escuela de Física, UNAH 5 (2), 39-46, 2017 | | 2017 |
Paul CastilloDepartment of Mathematical Sciences, University of Puerto Rico at MayaguezVerified email at upr.edu
