Paul Castillo
Orcid: 0000-0001-7148-6333Affiliations:
- University of Puerto Rico, Department of Mathematical Sciences, Mayagüez
According to our database1,
Paul Castillo
authored at least 25 papers
between 1997 and 2021.
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Bibliography
2021
Conservative local discontinuous Galerkin methods for a generalized system of strongly coupled nonlinear Schrödinger equations.
Commun. Nonlinear Sci. Numer. Simul., 2021
A unified framework of high order structure-preserving B-splines Galerkin methods for coupled nonlinear Schrödinger systems.
Comput. Math. Appl., 2021
Structure preserving - Field directional splitting difference methods for nonlinear Schrödinger systems.
Appl. Math. Lett., 2021
An interpolatory directional splitting-local discontinuous Galerkin method with application to pattern formation in 2D/3D.
Appl. Math. Comput., 2021
2020
Conservative Local Discontinuous Galerkin method for the fractional Klein-Gordon-Schrödinger system with generalized Yukawa interaction.
Numer. Algorithms, 2020
On the Convergence of the Local Discontinuous Galerkin Method Applied to a Stationary One Dimensional Fractional Diffusion Problem.
J. Sci. Comput., 2020
Interpolatory super-convergent discontinuous Galerkin methods for nonlinear reaction diffusion equations on three dimensional domains.
Commun. Nonlinear Sci. Numer. Simul., 2020
Conservative super-convergent and hybrid discontinuous Galerkin methods applied to nonlinear Schrödinger equations.
Appl. Math. Comput., 2020
2019
Math. Comput. Simul., 2019
Optimal stabilization and time step constraints for the forward Euler-Local Discontinuous Galerkin method applied to fractional diffusion equations.
J. Comput. Phys., 2019
2018
On the Conservation of Fractional Nonlinear Schrödinger Equation's Invariants by the Local Discontinuous Galerkin Method.
J. Sci. Comput., 2018
2016
Computational Performance of LDG Methods Applied to Time Harmonic Maxwell Equation in Polyhedral Domains.
J. Sci. Comput., 2016
2013
Computational aspects of the local discontinuous Galerkin method on unstructured grids in three dimensions.
Math. Comput. Model., 2013
2008
Multiscale Representation and Segmentation of Hyperspectral Imagery Using Geometric Partial Differential Equations and Algebraic Multigrid Methods.
IEEE Trans. Geosci. Remote. Sens., 2008
An Adaptive Strategy for the Local Discontinuous Galerkin Method Applied to Porous Media Problems.
Comput. Aided Civ. Infrastructure Eng., 2008
2007
Comparative Study of Semi-Implicit Schemes for Nonlinear Diffusion in Hyperspectral Imagery.
IEEE Trans. Image Process., 2007
2006
ACM J. Exp. Algorithmics, 2006
2005
ACM Trans. Math. Softw., 2005
J. Sci. Comput., 2005
2004
Proceedings of the 16th Canadian Conference on Computational Geometry, 2004
2002
SIAM J. Sci. Comput., 2002
Optimal a priori error estimates for the hp-version of the local discontinuous Galerkin method for convection-diffusion problems.
Math. Comput., 2002
2000
An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems.
SIAM J. Numer. Anal., 2000
1998
J. Sci. Comput., 1998
1997
Tensor Sum Approximation Preconditioners.
Proceedings of the Eighth SIAM Conference on Parallel Processing for Scientific Computing, 1997