Paul Castillo

21 papers Journal 19Unranked 2
YearRankTypeTitle / Venue / Authors
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
2018 J jnl
On the Conservation of Fractional Nonlinear Schrödinger Equation's Invariants by the Local Discontinuous Galerkin Method.
J. Sci. Comput.
Paul Castillo, Sergio A. Gómez Macias
2016 J jnl
Computational Performance of LDG Methods Applied to Time Harmonic Maxwell Equation in Polyhedral Domains.
J. Sci. Comput.
Arlin Alvarado, Paul Castillo
2006 J jnl
Heuristics for estimating contact area of supports in layered manufacturing.
ACM J. Exp. Algorithmics
Ivaylo Ilinkin, Ravi Janardan, Michiel H. M. Smid, Eric Johnson, Paul Castillo, Jörg Schwerdt
2005 J jnl
An
J. Sci. Comput.
Paul Castillo
2005 J jnl
FEMSTER: An object-oriented class library of high-order discrete differential forms.
ACM Trans. Math. Softw.
Paul Castillo, Robert N. Rieben, Daniel A. White
2004 — conf
Approximating contact-area of supports in layered manufacturing.
CCCG
Ivaylo Ilinkin, Ravi Janardan, Michiel H. M. Smid, Eric Johnson, Paul Castillo, Jörg Schwerdt
2002 J jnl
Optimal a priori error estimates for the hp-version of the local discontinuous Galerkin method for convection-diffusion problems.
Math. Comput.
Paul Castillo, Bernardo Cockburn, Dominik Schötzau, Christoph Schwab
2002 J jnl
Performance of Discontinuous Galerkin Methods for Elliptic PDEs.
SIAM J. Sci. Comput.
Paul Castillo
2000 J jnl
An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems.
SIAM J. Numer. Anal.
Paul Castillo, Bernardo Cockburn, Ilaria Perugia, Dominik Schötzau
1998 J jnl
Preconditioning the Matrix Exponential Operator with Applications.
J. Sci. Comput.
Paul Castillo, Yousef Saad
1997 — conf
Tensor Sum Approximation Preconditioners.
PP
Paul Castillo, Yousef Saad