Paul Castillo - researchr alias

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Viewing Publication 1 - 19 from 19

2021

Structure preserving - Field directional splitting difference methods for nonlinear Schrödinger systemsAxi Aguilera, Paul Castillo, Sergio Gómez. appml, 119:107211, 2021. [doi]

An interpolatory directional splitting-local discontinuous Galerkin method with application to pattern formation in 2D/3DPaul Castillo, Sergio Gómez. amc, 397:125984, 2021. [doi]

Conservative local discontinuous Galerkin methods for a generalized system of strongly coupled nonlinear Schrödinger equationsPaul Castillo, Sergio Gómez. cnsns, 99:105836, 2021. [doi]

2020

2019

Improving the accuracy of LDG approximations on coarse meshesPaul Castillo, Sergio Gómez, Sergio Manzanarez. mcs, 156:310-326, 2019. [doi]

Optimal stabilization and time step constraints for the forward Euler-Local Discontinuous Galerkin method applied to fractional diffusion equationsPaul Castillo, Sergio Gómez. jcphy, 394:503-521, 2019. [doi]

2016

Computational Performance of LDG Methods Applied to Time Harmonic Maxwell Equation in Polyhedral DomainsA. Alvarado, Paul Castillo. jscic, 67(2):453-474, 2016. [doi]

2006

Heuristics for estimating contact area of supports in layered manufacturingIvaylo Ilinkin, Ravi Janardan, Michiel H. M. Smid, Eric Johnson, Paul Castillo, Jörg Schwerdt. jea, 11, 2006. [doi]

2005

An ::::A Posteriori:::: Error Estimate for the Local Discontinuous Galerkin MethodPaul Castillo. jscic, 22(1):187-204, 2005. [doi]

FEMSTER: An object-oriented class library of high-order discrete differential formsPaul Castillo, Robert Rieben, Daniel White. TOMS, 31(4):425-457, 2005. [doi]

2004

Approximating contact-area of supports in layered manufacturingIvaylo Ilinkin, Ravi Janardan, Michiel H. M. Smid, Eric Johnson, Paul Castillo, Jörg Schwerdt. cccg 2004: 91-94 [doi]

2002

Performance of Discontinuous Galerkin Methods for Elliptic PDEsPaul Castillo. siamsc, 24(2):524-547, 2002. [doi]

Optimal a priori error estimates for the hp-version of the local discontinuous Galerkin method for convection--diffusion problemsPaul Castillo, Bernardo Cockburn, Dominik Schötzau, Christoph Schwab. moc, 71(238):455-478, 2002.

2000

An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic ProblemsPaul Castillo, Bernardo Cockburn, Ilaria Perugia, Dominik Schötzau. siamnum, 38(5):1676-1706, 2000. [doi]

1998

Preconditioning the Matrix Exponential Operator with ApplicationsPaul Castillo, Yousef Saad. jscic, 13(3):275-302, 1998. [doi]

1997

Tensor Sum Approximation PreconditionersPaul Castillo, Yousef Saad. ppsc 1997:

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