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ORCIDPaul Castillo 0001
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- affiliation: University of Puerto Rico, Department of Mathematical Sciences, Mayagüez
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Journal Articles
- 2021
[j23]Paul Castillo
, Sergio Gómez:
An interpolatory directional splitting-local discontinuous Galerkin method with application to pattern formation in 2D/3D. Appl. Math. Comput. 397: 125984 (2021)- [j22]Axi Aguilera, Paul Castillo, Sergio Gómez:
Structure preserving - Field directional splitting difference methods for nonlinear Schrödinger systems. Appl. Math. Lett. 119: 107211 (2021) - [j21]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: 45-53 (2021) - [j20]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: 105836 (2021) - 2020
- [j19]Paul Castillo, Sergio Gómez:
Conservative super-convergent and hybrid discontinuous Galerkin methods applied to nonlinear Schrödinger equations. Appl. Math. Comput. 371 (2020) - [j18]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: 105388 (2020) - [j17]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): 32 (2020) - [j16]Paul Castillo, Sergio Gómez:
Conservative Local Discontinuous Galerkin method for the fractional Klein-Gordon-Schrödinger system with generalized Yukawa interaction. Numer. Algorithms 84(1): 407-425 (2020) - 2019
- [j15]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: 503-521 (2019) - [j14]Paul Castillo, Sergio Gómez, Sergio Manzanarez:
Improving the accuracy of LDG approximations on coarse meshes. Math. Comput. Simul. 156: 310-326 (2019) - 2018
- [j13]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): 1444-1467 (2018) - 2016
- [j12]Arlin Alvarado, Paul Castillo:
Computational Performance of LDG Methods Applied to Time Harmonic Maxwell Equation in Polyhedral Domains. J. Sci. Comput. 67(2): 453-474 (2016) - 2013
- [j11]Paul E. Castillo, Filánder A. Sequeira:
Computational aspects of the local discontinuous Galerkin method on unstructured grids in three dimensions. Math. Comput. Model. 57(9-10): 2279-2288 (2013) - 2008
- [j10]Esov S. Velázquez, Paul E. Castillo:
An Adaptive Strategy for the Local Discontinuous Galerkin Method Applied to Porous Media Problems. Comput. Aided Civ. Infrastructure Eng. 23(4): 238-252 (2008) - [j9]Julio Martin Duarte-Carvajalino, Guillermo Sapiro, Miguel Velez-Reyes, Paul E. Castillo:
Multiscale Representation and Segmentation of Hyperspectral Imagery Using Geometric Partial Differential Equations and Algebraic Multigrid Methods. IEEE Trans. Geosci. Remote. Sens. 46(8): 2418-2434 (2008) - 2007
- [j8]Julio Martin Duarte-Carvajalino, Paul E. Castillo, Miguel Velez-Reyes:
Comparative Study of Semi-Implicit Schemes for Nonlinear Diffusion in Hyperspectral Imagery. IEEE Trans. Image Process. 16(5): 1303-1314 (2007) - 2006
- [j7]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) - 2005
- [j6]Paul Castillo:
An A Posteriori Error Estimate for the Local Discontinuous Galerkin Method. J. Sci. Comput. 22(1): 187-204 (2005) - [j5]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): 425-457 (2005) - 2002
- [j4]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): 455-478 (2002) - [j3]Paul Castillo:
Performance of Discontinuous Galerkin Methods for Elliptic PDEs. SIAM J. Sci. Comput. 24(2): 524-547 (2002) - 2000
- [j2]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): 1676-1706 (2000) - 1998
- [j1]Paul Castillo, Yousef Saad:
Preconditioning the Matrix Exponential Operator with Applications. J. Sci. Comput. 13(3): 275-302 (1998)
Conference and Workshop Papers
- 2004
- [c2]Ivaylo Ilinkin, Ravi Janardan, Michiel H. M. Smid, Eric Johnson, Paul Castillo, Jörg Schwerdt:
Approximating contact-area of supports in layered manufacturing. CCCG 2004: 91-94 - 1997
- [c1]Paul Castillo, Yousef Saad:
Tensor Sum Approximation Preconditioners. PP 1997
Coauthor Index
aka: Sergio A. Gómez Macias
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