Paul Castillo

Publication Activity (10 Years)

Years Active: 1997-2021
Publications (10 Years): 12

Top Topics

Structure Preserving

Distance Transform

Diffusion Equation

Top Venues

J. Sci. Comput.

Commun. Nonlinear Sci. Numer. Simul.

Appl. Math. Comput.

Math. Comput. Simul.

Publications

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)
Paul Castillo, Sergio A. Gómez Macias
On the Conservation of Fractional Nonlinear Schrödinger Equation's Invariants by the Local Discontinuous Galerkin Method. J. Sci. Comput. 77 (3) (2018)
Arlin Alvarado, Paul Castillo
Computational Performance of LDG Methods Applied to Time Harmonic Maxwell Equation in Polyhedral Domains. J. Sci. Comput. 67 (2) (2016)
Ivaylo Ilinkin, Ravi Janardan, Michiel H. M. Smid, Eric Johnson, Paul Castillo, Jörg Schwerdt
Heuristics for estimating contact area of supports in layered manufacturing. ACM J. Exp. Algorithmics 11 (2006)
Paul Castillo
Error Estimate for the Local Discontinuous Galerkin Method. J. Sci. Comput. 22 (1) (2005)
Paul Castillo, Robert N. Rieben, Daniel A. White
FEMSTER: An object-oriented class library of high-order discrete differential forms. ACM Trans. Math. Softw. 31 (4) (2005)
Ivaylo Ilinkin, Ravi Janardan, Michiel H. M. Smid, Eric Johnson, Paul Castillo, Jörg Schwerdt
Approximating contact-area of supports in layered manufacturing. CCCG (2004)
Paul Castillo
Performance of Discontinuous Galerkin Methods for Elliptic PDEs. SIAM J. Sci. Comput. 24 (2) (2002)
Paul Castillo, Bernardo Cockburn, Dominik Schötzau, Christoph Schwab
Optimal a priori error estimates for the hp-version of the local discontinuous Galerkin method for convection-diffusion problems. Math. Comput. 71 (238) (2002)
Paul Castillo, Bernardo Cockburn, Ilaria Perugia, Dominik Schötzau
An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems. SIAM J. Numer. Anal. 38 (5) (2000)
Paul Castillo, Yousef Saad
Preconditioning the Matrix Exponential Operator with Applications. J. Sci. Comput. 13 (3) (1998)
Paul Castillo, Yousef Saad
Tensor Sum Approximation Preconditioners. PPSC (1997)