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Paul Castillo
Paul Castillo
Department of Mathematical Sciences, University of Puerto Rico at Mayaguez
Verified email at upr.edu
Title
Cited by
Cited by
Year
An a priori error analysis of the local discontinuous Galerkin method for elliptic problems
P Castillo, B Cockburn, I Perugia, D Schötzau
SIAM Journal on Numerical Analysis 38 (5), 1676-1706, 2000
6692000
Optimal a priori error estimates for the ℎ𝑝-version of the local discontinuous Galerkin method for convection–diffusion problems
P Castillo, B Cockburn, D Schötzau, C Schwab
Mathematics of computation 71 (238), 455-478, 2002
3142002
Performance of discontinuous Galerkin methods for elliptic PDEs
P Castillo
SIAM Journal on Scientific Computing 24 (2), 524-547, 2002
2082002
The local discontinuous Galerkin method for contaminant transport
V Aizinger, C Dawson, B Cockburn, P Castillo
Advances in water resources 24 (1), 73-87, 2000
1262000
Comparative study of semi-implicit schemes for nonlinear diffusion in hyperspectral imagery
JM Duarte-Carvajalino, PE Castillo, M Velez-Reyes
IEEE Transactions on Image Processing 16 (5), 1303-1314, 2007
682007
A superconvergence result for discontinuous Galerkin methods applied to elliptic problems
P Castillo
Computer Methods in Applied Mechanics and Engineering 192 (41-42), 4675-4685, 2003
682003
FEMSTER: An object-oriented class library of high-order discrete differential forms
P Castillo, R Rieben, D White
ACM Transactions on Mathematical Software (TOMS) 31 (4), 425-457, 2005
672005
An optimal estimate for the local discontinuous Galerkin method
P Castillo
Discontinuous Galerkin methods: theory, computation and applications, 285-290, 2000
632000
Multiscale representation and segmentation of hyperspectral imagery using geometric partial differential equations and algebraic multigrid methods
JM Duarte-Carvajalino, G Sapiro, M Vélez-Reyes, PE Castillo
IEEE Transactions on Geoscience and Remote Sensing 46 (8), 2418-2434, 2008
602008
A review of the local discontinuous Galerkin (LDG) method applied to elliptic problems
P Castillo
Applied numerical mathematics 56 (10-11), 1307-1313, 2006
442006
A discrete differential forms framework for computational electromagnetism
P Castillo, J Koning, R Rieben, D White
Computer Modeling in Engineering and Sciences 5 (4), 331-345, 2004
422004
An A Posteriori Error Estimate for the Local Discontinuous Galerkin Method
P Castillo
Journal of Scientific Computing 22, 187-204, 2005
402005
On the conservation of fractional nonlinear Schrödinger equation¢s invariants by the local discontinuous Galerkin method
P Castillo, S Gómez
Journal of Scientific Computing 77, 1444-1467, 2018
312018
FEMSTER: An object oriented class library of discrete differential forms
P Castillo, R Rieben, D White
IEEE Antennas and Propagation Society International Symposium. Digest. Held …, 2003
272003
Preconditioning the matrix exponential operator with applications
P Castillo, Y Saad
Journal of scientific computing 13, 275-302, 1998
261998
Local discontinuous Galerkin methods for elliptic problems
P Castillo, B Cockburn, I Perugia, D Schötzau
Communications in numerical methods in engineering 18 (1), 69-75, 2002
252002
Computational aspects of the Local Discontinuous Galerkin method on unstructured grids in three dimensions
PE Castillo, FA Sequeira
Mathematical and Computer Modelling 57 (9-10), 2279-2288, 2013
232013
Conservative local discontinuous Galerkin method for the fractional Klein-Gordon-Schrödinger system with generalized Yukawa interaction
P Castillo, S Gómez
Numerical Algorithms 84, 407-425, 2020
212020
Stencil reduction algorithms for the Local Discontinuous Galerkin method
PE Castillo
International journal for numerical methods in engineering 81 (12), 1475-1491, 2010
212010
Discrete differential forms: A novel methodology for robust computational electromagnetics
P Castillo, J Koning, R Rieben, M Stowell, D White
Lawrence Livermore National Laboratory, 2003
182003
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