| 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 | 675 | 2000 |
| 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 | 320 | 2002 |
| Performance of discontinuous Galerkin methods for elliptic PDEs P Castillo SIAM Journal on Scientific Computing 24 (2), 524-547, 2002 | 215 | 2002 |
| 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 | 125 | 2000 |
| 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 | 68 | 2007 |
| 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 | 68 | 2003 |
| 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 | 64 | 2005 |
| An optimal estimate for the local discontinuous Galerkin method P Castillo Discontinuous Galerkin methods: theory, computation and applications, 285-290, 2000 | 63 | 2000 |
| 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 | 60 | 2008 |
| A review of the local discontinuous Galerkin (LDG) method applied to elliptic problems P Castillo Applied numerical mathematics 56 (10-11), 1307-1313, 2006 | 45 | 2006 |
| 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 | 42 | 2004 |
| An A Posteriori Error Estimate for the Local Discontinuous Galerkin Method P Castillo Journal of Scientific Computing 22, 187-204, 2005 | 41 | 2005 |
| 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 | 33 | 2018 |
| 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 | 26 | 2003 |
| 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 | 25 | 2002 |
| Preconditioning the matrix exponential operator with applications P Castillo, Y Saad Journal of scientific computing 13, 275-302, 1998 | 25 | 1998 |
| 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 | 23 | 2013 |
| 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 | 22 | 2020 |
| Stencil reduction algorithms for the Local Discontinuous Galerkin method PE Castillo International journal for numerical methods in engineering 81 (12), 1475-1491, 2010 | 22 | 2010 |
| 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 | 18 | 2003 |
