Tensor Sum Approximation Preconditioners. - Paul Castillo 001; Yousef Saad (PP, 1997)

Preconditioning the Matrix Exponential Operator with Applications. - Paul Castillo 001; Yousef Saad (J. Sci. Comput., 1998)

An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems. - Paul Castillo 001; Bernardo Cockburn; Ilaria Perugia; Dominik Schötzau (SIAM J. Numer. Anal., 2000)

Optimal a priori error estimates for the hp-version of the local discontinuous Galerkin method for convection-diffusion problems. - Paul Castillo 001; Bernardo Cockburn; Dominik Schötzau; Christoph Schwab (Math. Comput., 2002)

Performance of Discontinuous Galerkin Methods for Elliptic PDEs. - Paul Castillo 001 (SIAM J. Sci. Comput., 2002)

Approximating contact-area of supports in layered manufacturing. - Ivaylo Ilinkin; Ravi Janardan; Michiel H. M. Smid; Eric Johnson 001; Paul Castillo 001; Jörg Schwerdt (CCCG, 2004)

An A Posteriori Error Estimate for the Local Discontinuous Galerkin Method. - Paul Castillo 001 (J. Sci. Comput., 2005)

FEMSTER: An object-oriented class library of high-order discrete differential forms. - Paul Castillo 001; Robert N. Rieben; Daniel A. White (ACM Trans. Math. Softw., 2005)

Heuristics for estimating contact area of supports in layered manufacturing. - Ivaylo Ilinkin; Ravi Janardan; Michiel H. M. Smid; Eric Johnson 001; Paul Castillo 001; Jörg Schwerdt (ACM J. Exp. Algorithmics, 2006)

Comparative Study of Semi-Implicit Schemes for Nonlinear Diffusion in Hyperspectral Imagery. - Julio Martin Duarte-Carvajalino; Paul E. Castillo; Miguel Velez-Reyes (IEEE Trans. Image Process., 2007)

An Adaptive Strategy for the Local Discontinuous Galerkin Method Applied to Porous Media Problems. - Esov S. Velázquez; Paul E. Castillo (Comput. Aided Civ. Infrastructure Eng., 2008)

Multiscale Representation and Segmentation of Hyperspectral Imagery Using Geometric Partial Differential Equations and Algebraic Multigrid Methods. - Julio Martin Duarte-Carvajalino; Guillermo Sapiro; Miguel Velez-Reyes; Paul E. Castillo (IEEE Trans. Geosci. Remote. Sens., 2008)

Computational aspects of the local discontinuous Galerkin method on unstructured grids in three dimensions. - Paul E. Castillo; Filánder A. Sequeira (Math. Comput. Model., 2013)

Computational Performance of LDG Methods Applied to Time Harmonic Maxwell Equation in Polyhedral Domains. - Arlin Alvarado; Paul Castillo 001 (J. Sci. Comput., 2016)

On the Conservation of Fractional Nonlinear Schrödinger Equation's Invariants by the Local Discontinuous Galerkin Method. - Paul Castillo 001; Sergio A. Gómez Macias (J. Sci. Comput., 2018)

Optimal stabilization and time step constraints for the forward Euler-Local Discontinuous Galerkin method applied to fractional diffusion equations. - Paul Castillo 001; Sergio Gómez 001 (J. Comput. Phys., 2019)

Improving the accuracy of LDG approximations on coarse meshes. - Paul Castillo 001; Sergio Gómez 001; Sergio Manzanarez (Math. Comput. Simul., 2019)

Conservative super-convergent and hybrid discontinuous Galerkin methods applied to nonlinear Schrödinger equations. - Paul Castillo 001; Sergio Gómez 001 (Appl. Math. Comput., 2020)

Interpolatory super-convergent discontinuous Galerkin methods for nonlinear reaction diffusion equations on three dimensional domains. - Paul Castillo 001; Sergio Gómez 001 (Commun. Nonlinear Sci. Numer. Simul., 2020)

On the Convergence of the Local Discontinuous Galerkin Method Applied to a Stationary One Dimensional Fractional Diffusion Problem. - Paul Castillo 001; Sergio Gómez 001 (J. Sci. Comput., 2020)

Conservative Local Discontinuous Galerkin method for the fractional Klein-Gordon-Schrödinger system with generalized Yukawa interaction. - Paul Castillo 001; Sergio Gómez 001 (Numer. Algorithms, 2020)

An interpolatory directional splitting-local discontinuous Galerkin method with application to pattern formation in 2D/3D. - Paul Castillo 001; Sergio Gómez 001 (Appl. Math. Comput., 2021)

Structure preserving - Field directional splitting difference methods for nonlinear Schrödinger systems. - Axi Aguilera; Paul Castillo 001; Sergio Gómez 001 (Appl. Math. Lett., 2021)

A unified framework of high order structure-preserving B-splines Galerkin methods for coupled nonlinear Schrödinger systems. - Paul Castillo 001; Sergio Gómez 001 (Comput. Math. Appl., 2021)

Conservative local discontinuous Galerkin methods for a generalized system of strongly coupled nonlinear Schrödinger equations. - Paul Castillo 001; Sergio Gómez 001 (Commun. Nonlinear Sci. Numer. Simul., 2021)