Paul Castillo

Engineering · Physical Sciences

17h-index1.6kcitations57works0.02yr avg
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Research Topics

Advanced Numerical Methods in Computational Mathematics(32), Electromagnetic Simulation and Numerical Methods(17), Advanced Mathematical Modeling in Engineering(17), Numerical methods for differential equations(11), Differential Equations and Numerical Methods(11)

Publications57 total

A Numerical framework to address the inverse problem of estimating Lamé parameters using HDG Runge-Kutta methods
2024
A conservative splitting high-order finite difference method for coupled Gross–Pitaevskii equations in 2D
The European Physical Journal Plus·2023· 1 cited
Metodo conservativo de diferencias finitas de alto orden para una clase de sistemas de Schrodinger no lineales
Revista Mexicana de Física E·2021Open Access
A unified framework of high order structure-preserving B-splines Galerkin methods for coupled nonlinear Schrödinger systems
Computers & Mathematics with Applications·2021· 6 cited
Conservative local discontinuous Galerkin methods for a generalized system of strongly coupled nonlinear Schrödinger equations.
Communications in Nonlinear Science and Numerical Simulation·2021· 15 cited
Structure preserving — Field directional splitting difference methods for nonlinear Schrödinger systems
Applied Mathematics Letters·2021· 6 cited
An interpolatory directional splitting-local discontinuous Galerkin method with application to pattern formation in 2D/3D
Applied Mathematics and Computation·2021· 4 cited
On the Convergence of the Local Discontinuous Galerkin Method Applied to a Stationary One Dimensional Fractional Diffusion Problem
Journal of Scientific Computing·2020· 5 cited
Interpolatory super-convergent discontinuous Galerkin methods for nonlinear reaction diffusion equations on three dimensional domains
Communications in Nonlinear Science and Numerical Simulation·2020· 6 cited
Conservative super-convergent and hybrid discontinuous Galerkin methods applied to nonlinear Schrödinger equations
Applied Mathematics and Computation·2019· 9 cited
Eficiencia del metodo LDG para aproximar la solucion de los problemas de Bratu y de Troesch
Revista de la Escuela de Física·2019Open Access
Análisis de Von Neumann para el métodoLocal Discontinuous Galerkin en 1D
Revista Integración·2019Open Access
Conservative Local Discontinuous Galerkin method for the fractional Klein-Gordon-Schrödinger system with generalized Yukawa interaction
Numerical Algorithms·2019· 24 cited
Optimal stabilization and time step constraints for the forward Euler-Local Discontinuous Galerkin method applied to fractional diffusion equations
Journal of Computational Physics·2019· 4 cited
Análisis de Von Neumann para el método Local Discontinuous Galerkin en 1D
Dialnet (Universidad de la Rioja)·2019Open Access
Improving the accuracy of LDG approximations on coarse meshes
Mathematics and Computers in Simulation·2018
On the Conservation of Fractional Nonlinear Schrödinger Equation’s Invariants by the Local Discontinuous Galerkin Method
Journal of Scientific Computing·2018· 32 cited
Conservación de invariantes de la ecuación de Schrödinger no lineal por el método LDG
Revista Mexicana de Física E·2018· 2 citedOpen Access
EVALUACIÓN DE DISCRETIZACIONES EN TIEMPO Y MÉTODOS LDG PARA PROBLEMAS DE DIFUSIÓN Y REACCIÓN NO LINEAL EN 2D
Redalyc (Universidad Autónoma del Estado de México)·2017
Precondicionamiento del método LDG para la ecuación vectorial de Helmholtz
Revista de Matemática Teoría y Aplicaciones·2016Open Access
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Frequent Co-authors

Sergio Gómez(14), Bernardo Cockburn(5), Robert N. Rieben(4), D. White(4), Julio M. Duarte‐Carvajalino(4), Miguel Vélez-Reyes(4), Dominik Schötzau(3), Isnardo Arenas(3), Ilaria Perugia(2), Christoph Schwab(2), Guillermo Sapiro(2), J. M. Koning(2), Yousef Saad(2), Axi Aguilera(2), Esov S. Velázquez(2), Arlin Alvarado(2), Jesús Cajigas(2), Darrell W. Hajek(2), Vadym Aizinger(1), Clint Dawson(1)