People

 

Faculty: Castillo, Paul

Education:
Ph.D., 2001, University of Minnesota

Research Interests:
Finite Element Analysis and Scientific Computing

Teaching Interests:


Articles:
Conservative local discontinuous Galerkin methods for a generalized system of strongly coupled nonlinear Schrödinger equations.
(with S. Gómez) Communications in Nonlinear Science and Numerical Simulation.
(2021) Vol 99, pp. 105836.

Structure preserving-Field directional splitting difference methods for nonlinear Schrödinger systems
(with A. Aguilera and S. Gómez) Applied Mathematics Letters.
(2021) Vol 119, pp. 107211.

An interpolatory directional splitting-local discontinuous Galerkin method with application to pattern formation in 2D/3D
(with S. Gómez) Applied Mathematics and Computation.
(2021) Vol 397, pp. 125984.

On the convergence of the Local Discontinuous Galerkin method applied to a stationary one dimensional fractional diffusion problem.
(with S. Gómez) Journal of Scientific Computing.
(2020) Vol 85, (32)

Interpolatory super-convergent discontinuous Galerkin methods for nonlinear reaction diffusion equations on three dimensional domains.
(with S. Gómez) Communications in Nonlinear Science and Numerical Simulation.
(2020) Vol 90, pp. 105388.

Conservative super-convergent and hybrid discontinuous Galerkin methods applied to nonlinear Schrödinger equations.
(with S. Gómez) Applied Mathematics and Computation.
(2020) Vol 371, pp. 124950.

Conservative Local Discontinuous Galerkin method for the fractional Klein-Gordon-Schrödinger system with generalized Yukawa interaction.
(with S. Gómez) Numerical Algorithms.
(2020) Vol 84 (1) pp. 407-425.

Optimal stabilization and time step constraints for the forward Euler-Local Discontinuous Galerkin method applied to fractional diffusion equations.
(with S. Gómez) Journal of Computational Physics.
(2019) Vol 394 pp. 503-521.

Improving LDG approximations on coarse meshes.
(with S. Gómez and S. Manzanarez), Mathematics and Computers in Simulation (IMACS).
(2019) Vol 156, pp. 310-326.

On the conservation of fractional nonlinear Schrödinger equations invariant by the Local Discontinuous Galerkin method.
(with S. Gómez) Journal of Scientific Computing.
(2018) Vol 77, No 3, pp. 1444-1467.

Webpage: https://www.researchgate.net/profile/Paul_Castillo5

Email: paul.castillo@upr.edu

Office: OF-303

Phone: 6423

Position: Professor

 

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