3. Continuum Variational Formulation. - José E. Castillo 001 (Mathematical Aspects of Numerical Grid Generation, 1991)

4. Discrete Variational Grid Generation. - José E. Castillo 001 (Mathematical Aspects of Numerical Grid Generation, 1991)

1. Introduction. - José E. Castillo 001; Stanly Steinberg (Mathematical Aspects of Numerical Grid Generation, 1991)

A Discrete Variational Grid Generation Method. - José E. Castillo 001 (SIAM J. Sci. Comput., 1991)

Parallel Solution of Elliptic PDE's on Irregular Regions. - José E. Castillo 001; John Richardson (PPSC, 1993)

A Comparison of Two Matrix Operator Formulations for Mimetic Divergence and Gradient Discretizations. - José E. Castillo 001; Mark Yasuda (PDPTA, 2003)

A Matrix Analysis Approach to Higher-Order Approximations for Divergence and Gradients Satisfying a Global Conservation Law. - J. E. Castillo 001; R. D. Grone (SIAM J. Matrix Anal. Appl., 2003)

Linear Systems Arising for Second-Order Mimetic Divergence and Gradient Discretizations. - José E. Castillo 001; Mark Yasuda (J. Math. Model. Algorithms, 2005)

Matrix approach to mimetic discretizations for differential operators on non-uniform grids. - Orestes Montilla; Carlos Cadenas; José Castillo 001 (Math. Comput. Simul., 2006)

Preface. - Víctor Pereyra; José Castillo 001 (Math. Comput. Simul., 2006)

Large sparse linear systems arising from mimetic discretization. - F. F. Hernández; J. E. Castillo 001; Germán Larrazábal (Comput. Math. Appl., 2007)

Computational Science Research and Graduate Studies at San Diego State University. - Rubin H. Landau; José E. Castillo 001 (Comput. Sci. Eng., 2009)

Preface. - Godela Scherer; Víctor Pereyra; José Castillo 001 (Math. Comput. Simul., 2009)

Parallelization of the 3D Unified Curvilinear Coastal Ocean Model: Initial Results. - Mary P. Thomas; José E. Castillo 001 (ICCSA Workshops, 2012)

Stability and Performance Analysis of the Castillo-Grone Mimetic Operators in Conjunction with RK3 Time Discretization in Solving Advective Equations. - Mohammad Abouali; José E. Castillo 001 (ICCS, 2013)

A high performance GPU implementation of Surface Energy Balance System (SEBS) based on CUDA-C. - Mohammad Abouali; Joris Timmermans; José E. Castillo 001; Bob Z. Su (Environ. Model. Softw., 2013)

Unified Curvilinear Ocean Atmosphere Model (UCOAM): A vertical velocity case study. - Mohammad Abouali; José E. Castillo 001 (Math. Comput. Model., 2013)

Design of a Distributed Coupling Toolkit for High Performance Computing environment. - Dany De Cecchis; Leroy Anthony Drummond; J. E. Castillo 001 (Math. Comput. Model., 2013)

Equispaced Pareto front construction for constrained bi-objective optimization. - Víctor Pereyra; Michael A. Saunders; José Castillo 001 (Math. Comput. Model., 2013)

The Mimetic Methods Toolkit: An object-oriented API for Mimetic Finite Differences. - Eduardo J. Sanchez; Christopher P. Paolini; José E. Castillo 001 (J. Comput. Appl. Math., 2014)

Application of a three-dimensional hydrodynamic model for San Quintin Bay, B.C., Mexico. Validation and calibration using OpenDA. - Mariangel Garcia; Isabel Ramirez; Martin Verlaan; José E. Castillo 001 (J. Comput. Appl. Math., 2015)

Compact finite difference modeling of 2-D acoustic wave propagation. - L. J. Córdova; Otilio Rojas; Beatriz Otero; José E. Castillo 001 (J. Comput. Appl. Math., 2016)

Solving Poisson equation with Robin boundary condition on a curvilinear mesh using high order mimetic discretization methods. - Mohammad Abouali; José E. Castillo 001 (Math. Comput. Simul., 2017)

Validation of the nonhydrostatic General Curvilinear Coastal Ocean Model (GCCOM) for stratified flows. - Mariangel Garcia; Paul F. Choboter; Ryan K. Walter; José E. Castillo 001 (J. Comput. Sci., 2019)

Alternating direction implicit time integrations for finite difference acoustic wave propagation: Parallelization and convergence. - Beatriz Otero; Otilio Rojas; Ferran Moya; José E. Castillo 001 (CoRR, 2020)

High-order mimetic finite-difference operators satisfying the extended Gauss divergence theorem. - Johnny Corbino; José E. Castillo 001 (J. Comput. Appl. Math., 2020)

Improving the I/O of large geophysical models using PnetCDF and BeeGFS. - Jared Brzenski; Christopher Paolini; José E. Castillo 001 (Parallel Comput., 2021)

Mimetic finite difference methods for restoration of fundus images for automatic detection of glaucoma suspects. - Jorge Villamizar; Giovanni Calderón; Julio Carrillo; Lola Xiomara Bautista Rozo; Juan Carrillo; Juan Rueda; José E. Castillo 001 (Comput. methods Biomech. Biomed. Eng. Imaging Vis., 2022)

Curvilinear High-Order Mimetic Differences that Satisfy Conservation Laws. - Angel Boada; Johnny Corbino; Miguel A. Dumett; José E. Castillo 001 (CoRR, 2024)

MOLE: Mimetic Operators Library Enhanced. - Johnny Corbino; Miguel A. Dumett; José E. Castillo 001 (J. Open Source Softw., 2024)