E

RECENT PUBLICATIONS

Research Papers:

Castillo, J.E. & Miranda, G.F. Mimetic Finite Difference Operators and High-Order Quadratures. Submitted for publication (2018).

Corbino, J. & Castillo, J.E. High-Order Mimetic Finite Difference Operators satisfying a Gauss Divergence Theorem. Submitted for publication (2018).

Castillo, J.E. & Grone, R.D. (2017). Using Kronecker products to construct mimetic gradients. Linear and Multilinear Algebra, 65:10, 1-15.

Castillo, J.E. & Miranda, G.F. (2016). High-Order Compact Mimetic Differences and Discrete Energy Decay in 2D Wave Motions. Spectral and High Order Methods for Partial Differential Equations, ICOSAHOM Conference, Rio de Janeiro, Brazil, June 27-July 1, 2016. 293–304.

(2016). VIII Pan-American Workshop. In the Journal of Computational and Applied Mathematics. J. Castillo, V. Pereyra, G. Scherer (Eds).Vol. 295, pp 1-184. doi:10.1016/j.cam.2015.10.001

Córdova, L.J., Rojas, O., Otero, B., & Castillo, J.E. (2016). Compact Finite Difference Schemes for the Acoustic Wave Equation, 78th EAGE Conference and Exhibition 2016-Workshops, Vienna, Austria, May 30 – June 2, 2016.

Corbino, J., Castillo, J.E., & Paolini, C. (2016). SubFlow-An Open-Source, Object-Oriented Application for Modeling Geologic Storage of CO2, International Conference and Exhibition, Society of Exploration Geophysicists and American Association of Petroleum Geologists, Barcelona, Spain, pp: 60-60, April 3-6, 2016.

Sanchez, E., & Castillo, J.E. (2016). Mimetic finite differences and interpolation methods to simulate subsurface mass transport of injected CO2, International Conference and Exhibition, Society of Exploration Geophysicists and American Association of Petroleum Geologists, pp: 58-58, Barcelona, Spain, April 3-6, 2016.

Matthews, J., Paolini, C., & Castillo, J.E. (2016). Simulation of fluid pressure and fracturing in CO2 sequestration, International Conference and Exhibition, Society of Exploration Geophysicists and American Association of Petroleum Geologists, pp: 59-59, Barcelona, Spain, April 3-6, 2016.

Córdova, L.J., Rojas, O., Otero, B., & Castillo, J.E. (2016). Compact finite difference modeling of 2-D acoustic wave propagation. Journal of Computational and Applied Mathematics, 295, 83-91.

de Guenni, L., Garica, M., Muñoz, A., Santos, J.L., Cedeño, Al, Perugachi, C., & Castillo, J.E. (2016). Predicting Monthly Precipitation Along Coastal Ecuador. ENSO And Transfer Function. Theoretical and Applied Climatology, 1-15.

Castillo, J.E. (2015). Coastal Ocean Dynamics: Addressing the Challenge of 3D High Resolution. SIAM NEWS. October 30, 2015 issue. https://lnkd.in/bXbh9Nw

Paolini, C., Matthews, J., Sanchez, E., Corbino, J., Clarke, G., & Castillo, J.E. (2015). Effect of Aqueous Electrolytic Reactions on Reservoir Temperature During CO2 Injection, The 14th Annual Carbon Capture, Utilization & Storage Conference, Pittsburgh, Pennsylvania.

Paolini, C., Matthews, J., Sanchez, E., Corbino, J., Clarke, G., Dominguez, J., & Castillo, J. E. (2014). Thermal-Mechanical Model Coupling in Geologic CO2 Sequestration Simulation, 2014 Carbon Storage RD Project Review Meeting, U.S. Department of Energy, National Energy Technology Laboratory, Pittsburgh, PA.

Hernández-Walls, R. Castillo, J.E., Rojas-Mayoral, E.M. & Girón Nava, J.A. (2014). Semi-discrete numeric solution for the non-stationary heat equation using mimetic techniques. European Journal of Physics, 35(6):065013.

Garcia, M., Ramirez, I., Verlaan, M., & Castillo, J.E. (2014). Application of a Three-Dimensional Hydrodynamic Model for San Quintin Bay, B.C., Mexico. Validation and Calibration Using OpenDA. Journal of Computational and Applied Mathematics, 273, 428-437.

Rojas, O., Otero, B., Castillo, J.E., & Day, S.M. (2014). Low Dispersive Modeling of Rayleigh Waves on Partly-Staggered Grids. Journal of Computational Geosciences, 18:1, 29-43.

Sanchez, E., Paolini, C., & Castillo, J.E. (2014). Analyzing Diffusive-Advective-Reactive Processes Using Mimetic Finite Differences with Implications in Carbon Dioxide Geologic Storage, 13th Annual Conference on Carbon Capture Utilization & Storage, Pittsburgh, Pennsylvania.

Sanchez, E., Paolini, C., & Castillo, J.E. (2014). The Mimetic Methods Toolkit: An object-oriented API for Mimetic Finite Differences. Journal of Computational and Applied Mathematics. Available online 4 January 2014, ISSN 0377-0427, http://dx.doi.org/10.1016/j.cam.2013.12.046.

De la Puente, J., Ferrer, M., Hanzich, M., Castillo, J. E., & Cela, J. M. (2014). Mimetic Seismic Wave Modeling Including Topography on Deformed Staggered Grids. Geophysics, 79, T125-T141.

Abouali, M. & Castillo, J.E. (2013.) Solving Poisson Equation with Robin Boundary Condition on a Curvilinear Mesh Using High Order Mimetic Discretization Methods. Mathematics and Computers in Simulation. Available online 3 December 2014, http://doi:10.1016/j.matcom.2014.10.004.

Sanchez, E., Blomgren, P., & Castillo, J.E. (2013). On the Role of Constrained Linear Optimization to Construct Higher-Order Mimetic Divergence Operators. Journal of Computational and Applied Mathematics (under review).

Sanchez, E., Paolini, C., Park, A., & Castillo, J.E. (2013). A Block-defined, Global and Sparse (BloGS) Matrix Storage Scheme for the Numerical Resolution of Many Partial Differential Equations on Distributed-Memory Computers. Journal of Computational and Applied Mathematics (under review).

Paolini, C., Binter, C., Sanchez, E., & Castillo, J.E. (2013). Using the Helgeson-Kirkham-Flowers Model to Predict Reservoir Temperature DuringCO2 Injection, 2013 Carbon Storage RD Project Review Meeting, U.S. Department of Energy National Energy Technology Laboratory, Pittsburgh, PA.

Sanchez, E., Paolini, C., & Castillo, J.E. (2013). High-Performance Computing in Simulating Carbon Dioxide Geologic Sequestration, 4th International Congress on Computational Engineering and Sciences (FEMTEC 2013), Las Vegas.

Sanchez, E., Paolini, C., Park, A., & Castillo, J.E. (2013). High-Performance Computing in Simulating Carbon Dioxide Geologic Sequestration, 2013 SIAM Conference on Computational Science and Engineering, Boston, Massachusetts, February 25-March 1, 2013.

Matthews, J., Paolini, C., & Castillo, J.E. (2013). Numerical Simulation of Poroelastic Pressure Diffusion in CO2 Sequestration, 7th Annual Applied Computational Science and Engineering Student Support (ACSESS) Meeting, March 1, 2013.

Abouali, M., Timmerman, J., Castillo, J.E., & Su, Z. (2013). A High Performance GPU Implementation of Surface Energy Balance System (SEBS) Based on CUDA-C. Environmental Modeling and Software, 41, 134-138.

Abouali, M., & Castillo, J.E. (2013). Stability and Performance Analysis of the Castillo-Grone Mimetic Operators in Conjunction with RK3 Time Discretization in Solving Advective Equations. Procedia Computer Science, 18, 465-472.

Abouali M. & Castillo J.E. (2012). Solving Navier-Stokes' Equation Using Castillo-Grone's Mimetic difference operators on GPUs. 65th Annual Meeting of the APS Division of Fluid Dynamics.

Abouali M. & Castillo J.E. (2012). The Castillo-Grone's Mimetic Difference Operators in 2D and 3D Fully Curvilinear Grids: Case Study of Poisson's Equation. MASCOT&ISGG 2012 Workshops.

Thomas, M.P. & Castillo, J.E. (2012). Parallelization of the 3D Unified Curvilinear Coastal Ocean Model: Initial Results. ICCSA Workshops, 88-96.

Thomas M.P., Castillo, J.E. (2012). Parallelization of the 3D Unified Curvilinear Coastal Ocean Model: Initial Results, Proceedings of the 2012 12th International Conference on Computational Science and Its Applications, IEEE: pp. 88-96.

Paolini, C., Park, A. J., Binter, C., & Castillo, J. E. (2011). An Investigation of the Variation in the Sweep and Diffusion Front Displacement as a Function of Reservoir Temperature and Seepage Velocity with Implications in CO2 Sequestration. 47th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit and the 9th Annual International Energy Conversion Engineering Conference.

Binter, C., Paolini, C., Park, A. J., & Castillo, J. E. (2011). Utilization of Reaction-Transport Modeling Software to Study the Effects of Reservoir Temperature and Seepage Velocity on the Sweep Diffusion Front Displacement Formed after CO2-Rich Water Injection. Tenth Annual Conference on Carbon Capture and Sequestration.

Binter, C., Park, A. J., Castillo, J. E., & Paolini, C. (2011). Incorporation of New Web-based Technology to Expand the Accessibility and Flexibility of RTM Software for use in Modeling CO2 Sequestration, Tenth Annual Conference on Carbon Capture and Sequestration, Pittsburgh, Pennsylvania.

Sanchez Peiro, E., Park, A. J., Castillo, J. E., & Paolini, C. (2011). Mimetic Finite Difference Methods: An Application in Modeling Geological Sequestration of Carbon Dioxide, Tenth Annual Conference on Carbon Capture and Sequestration, Pittsburgh, Pennsylvania.

Paolini, C., Sanchez Peiro, E., Park, A. J., & Castillo, J. E. (2011). A Distributed Mimetic Approach to Simulating Water-Rock Interaction following CO2 Injection in Sedimentary Basins, 2011 SIAM Conference on Analysis of Partial Differential Equations, San Diego, California.

Bazan, C., Abouali, M., Castillo, J., & Blomgren, P. (2011). Mimetic Finite Difference PDE-Based Models in Image Processing. Journal of Computational & Applied Mathematics, 30:3, 1-20, ISSN 0101-8205.

De Cecchis, D., Drummond, L.A., & Castillo, J.E. (2011). Design of a Distributed Coupling Toolkit for High Performance Computing Environment. Journal of Mathematical and Computer Modelling, doi:10.1016/j.mcm.2011.07.002.

Abouali M., & Castillo J.E. (2011). Unified Curvilinear Ocean Atmosphere Model (UCOAM): A Vertical Velocity Case Study. Journal of Mathematical and Computer Modelling, doi:10.1016/j.mcm.2011.03.023.

Pereyra, V., Castillo, J.E., & Saunders, M. (2011). Equispaced Pareto Front Construction for Constrained Bi-Objective Optimization. Journal of Mathematical and Computer Modelling, doi:10.1016/j.mcm.2010.12.044.

Paolini, C., Mellors, R. J., Castillo, J. E. & Park, A. J. (2009). Running a Reaction-Transport-Mechanical Simulator on a Web-based Platform: Putting Together Water-Rock Interaction, Multi-phase and Heat flow, a Composite Petrophysics Model, and a Fracture Mechanics Region, 2009 American Geophysical Union (AGU) Fall Meeting, San Francisco ,California.

Rojas, O., Dunham, E., Day, S., Dalguer, L., & Castillo, J.E. (2009). Finite Difference Modeling of Rupture Propagation with Strong Velocity-Weakening Friction. Geophysical Journal International Seismology, 179, 1831-1858.

Batista, E.B., & Castillo, J.E. (2009). Mimetic Schemes on Non-Uniform Structured Meshes. Electronic Transactions of Numerical Analysis, 34, 152-162.

Torres, C., De Cecchis, D., Larrazabal, G., Castillo, J.E. (2009). Numerical Study of a Descending Sphere in a Low Reynolds Number Flow, Electronic Transactions of Numerical Analysis, V. 34, pp. 119-124.

Rojas, O., Day, S., Castillo, J.E. & Dalguer, L.A. (2008). Modeling of Rupture Propagation using High-Order Mimetic Finite Differences. Geophysical Journal International Seismology, 172, 631-650.

Hernandez, F.F., Castillo, J.E. & Larrazabal, G.A. (2007). Large Sparse Linear Systems Arising From Mimetic Discretization. Computers and Mathematics with Applications, 53, 1-11.

Guevara-Jordan, J.M., Rojas, S., Freytes-Villegas, M. & Castillo, J.E. (2007). Convergence of a Mimetic Finite Difference Method for Static Diffusion Equation. Advances in Difference Equations, Article ID 12303, 1-12.

Torres, C. R., G. Larrazabal & Castillo, J. E. (2006). Understanding Three-Dimensional Circulation in Lake Valencia, Venezuela: A Numerical Approach. In Simulación y Modelado en Ingenieria y Ciencias. B. Gámez, D. Ojeda, G. Larrazabal, M. Cerrolaza (Eds). Ed. SVMNI, pp. MF-49 a MF-56. ISBN:980-00-2315-1.

Castillo, J.E., & Yasuda, M. (2005). Linear Systems Arising for Second-Order Mimetic Divergence and Gradient Discretizations. Journal of Mathematical Modeling and Algorithms, 4, 67-82.

Castillo, J.E., & Yasuda, M. (2005). On the Solvability of the Castillo-Grone Mimetic Discretization, International Conference on Numerical Analysis and Applied Mathematics, T.E Simos, G. Psihoyios, Ch. Tsitouras (Eds). ICNAAM 2005, Rhodes, Greece.

Torres C.R., Mascarenhas A. S., & Castillo J.E. (2004). Three-dimensional stratified flow over the Alarcon Seamount, entrance to the Gulf of California. Deep-Sea Res., 51 (6-9), 647-657.

Torres C.R., & Castillo J. E. (2003). Stratified Rotating Flow Over Complex Terrain. Journal Applied Numerical Mathematics, 47, 531-541.

Larrazabal, G., Torres C.R., & Castillo J.E. (2003). An Efficient and Robust Algorithm for 2D Stratified Fluid Flow Calculations. Journal of Applied Numerical Mathematics, 47, 493-502.

Castillo, J.E., & Yasuda, M. (2003). A Comparison of Two Matrix Operator Formulations for Mimetic Divergence and Gradient Discretizations. Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications, Volume III, Las Vegas, NV, 1281-1285.

Castillo, J.E., & Grone, R.D. (2003). A Matrix Analysis Approach to High-Order Approximations for Divergence and Gradient Satisfying a Global Conservation Law, SIAM Journal of Matrix Analysis and Applications, 25, 128-142.

Castillo, J.E., & McGuinness, T. (2002). Steady State Diffusion Problems on Non-Trivial Domains: Support Operator Method Integrated with Direct Optimized Grid Generation, Journal Applied Mathematics, 40, 207-218.

Torres, C.R., & Castillo, J.E. (2002). A New 3D Curvilinear Coordinates Numerical Model for Oceanic Flow Over Arbitrary Bathymetry (In Spanish). In Desarrollos Recientes en Métodos Numéricos, C. M. Muller-Karger, M. Lentini, M. Cerrolaza (Eds). MF, pp. 105-112.

Torres, C.R., Ochoa, J., Castillo, J.E., & Van Woert, M.L. (2002). Initial Flow Field of Stratified Flow Pass an Impulsive Started Sphere. Journal of Applied Numerical Mathematics, 40/1-2 , 235-244.

Bohner, M., & Castillo, J.E. (2001). Mimetic Methods on Measure Chains. Journal of Computers and Mathematics Application, 42, 705-710.

Torres, C.R., Castillo, J.E., & Rangel, R.H. (2001). Numerical Study of Stratified Flow Past a Sphere Inside a Cylinder. V Latin American and Caribbean Congress on Fluid Mechanics, Caracas, Venezuela.

Rangel, R.H., Trollinger, J.D., Coimbra, C.F.M., Castillo, J.E., & Torres, C. (2001). Studies of Fundamental Particle Dynamics in Micro gravity, in Proceedings of the Micro gravity Transport Processes in Fluid, Thermal, Biological and Materials Science II, Banff, Alberta, Canada.

Castillo, J.E., Shashkov, M., Hyman, J.M., &Steinberg, S. (2001). Fourth and Sixth-Order Conservative Finite-Difference Approximations of the Divergence and Gradient. Applied Numerical Mathematics, 37, 171-187.

Castillo, J.E., & Otto, J.S. (2000). Numerical Techniques for the Transformation to an Orthogonal Coordinate System Aligned with a Vector Field, Journal of Computers and Mathematics Applications, 40, 523-535.

Torres-Navarrete, C.R., Hanazaki, H., Ochoa, J., Castillo, J.E., & Woert, M.V. (2000). Flow Past a Sphere Moving Vertically in a Stratified Diffusive Fluid. Journal of Fluid Mechanics, 417, 211-236.

Castillo, J.E., & Otto, J.S. (1999). A Practical Guide to Planar Grid Generation. Journal Computers and Mathematics Applications, 37, 123-156.

Torres, C.R., Ochoa, J., Castillo, J.E., & Hanazaki, H. (1999). Numerical Simulation of the Flow Past a Sphere in Vertical Motion Within an Stratified Fluid. Journal of Computational and Applied Mathematics, 103:1.

Castillo, J.E., & Otto, J.S. (1997). A Generalized Length Strategy for Direct Optimization in Planar Grid Generation. Math. Comp. in Simulation, 44, 441‑456.

Castillo, J.E., & Pedersen, E. (1996). Solution Adaptive Discrete Variational Grid Generation for Fluid Flow Calculations. Journal of Computational and Applied Mathematics, 67, 343‑370.

Castillo, J.E., & Uson, F. (1996). Adaptive Algorithms on the Physical Grid, Numerical Methods in Engineering Simulation, Cerrolaza, M., C. Gajardo, and C. Brebbia, (Eds).

Torres-Navarrete, C.R., Ochoa, J., & Castillo, J.E. (1996). A Numerical Experiment of the Flow Around a Sphere in Vertical Motion Within a Stratified Fluid. In Cerrolaza, M., C. Gajardo, and C. Brebbia, (Eds), Numerical Methods in Engineering Simulation (pp. 71-78).

Castillo, J.E., Shashkov, M., Hyman, J.M., & Steinberg, S. (1995). The Sensitivity and Accuracy of Fourth Order Finite‑Difference Schemes on Nonuniform Grids in One Dimension, Journal of Computers and Mathematics Applications, 30:8, 41‑55.

Castillo, J.E., Shashkov, M., Hyman, J.M. & Steinberg, S. (1995). High-order Mimetic Finite-Difference Methods on Nonuniform Grids. Houston Journal of Mathematics, Special Edition ICOSAHOM 95.

Castillo, J.E. (1994). Direct Optimization Grid Generation Methods. In Proceedings of 14th IMACS World Congress on Computational and Applied Mathematics, Georgia Tech, July 1994.

Castillo, J.E., & Shashkov, M. (1994). Grids Consistent with Finite Difference Schemes, In Numerical Grid Generation in Computational Fluid Dynamics and Related Fluids, North Holland.

Castillo, J.E., McEachern, M., Richardson, J., & Steinberg, S. (1994). Modeling the Membrane Using Boundary-Fitted Coordinates. Applied Mathematical Modeling, 18.

Quisca, S.I., Castillo, J.E., & Aguirre, J. (1994). Adaptive Moving Mesh for Shallow Waters. Latinoamerican Journal of Hydraulic, 9, 27‑38.

Castillo, J.E., & Richardson, J. (1993). Parallel Solution of Elliptic Partial Differential Equations on Irregular Geometries. In Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing, Norfolk, March 1993.

Castillo, J.E., McDermott, G., McEachern, M., & Richardson, J.(1992). A Comparative Analysis of Numerical Techniques Applied to a Model of the Otolith Membrane. Journal Computers and Mathematics Applications, 24:7, 133-141.

Castillo, J.E. (1991). A Discrete Variational Grid Generation Method. SIAM Journal of Scientific and Statistical Computing, 12:2.

Castillo, J.E. (1991). The Discrete Variational Grid Generation Method on Curves and Surfaces. In Numerical Grid Generation in Computational Fluid Dynamics and Related Fluids, North Holland.

Castillo, J.E. (1991). An Adaptive Direct Variational Grid Generation Method. Journal Computers and Mathematics Applications, 4:1.

Castillo, J.E., & Gustafson, M. (1990). Preconditioning a Large Scale Optimization Problem in Grid Generation. In Proceedings of the IASTED International Symposium on Modeling, Simulation and Optimization, Montreal, Canada, May 22-24.

Castillo, J.E., Steinberg, S., & Roache, P. (1988). On the Folding of Numerically Generated Grids: Use of Reference Grids. Communications in Applied Numerical Methods, 4, 471-481.

Castillo, J.E. (1988). A Direct Variational Grid Generation Method: Orthogonality Control. In Numerical Grid Generation and Fluid Mechanics '88, Pineridge Press Limited, Swansea.

Castillo, J.E., Steinberg, S., & Roache, P. (1988). Parameter Estimation in Variational Grid Generation. Applied Math. and Comp., 28:2, 155.

Castillo, J.E., Steinberg, S., & Roache, P. (1987). Mathematical Aspects of Variational Grid Generation II. Journal of Computational and Applied Mathematics, 20, 127-135.

Castillo, J.E. (1987). A Direct Variational Grid Generation Method. In Proceedings of 6th IMACS Inter. Symp. On Computer Methods for Partial Differential Equations, Lehigh University, Bethlehem, PA.

Castillo, J.E. (1986). Mathematical Aspects of Variational Grid Generation I. In Numerical Grid Generation in Computational Fluid Dynamics, Pineridge Press Limited, Swansea.

Milfeld, K.F., Castillo, J.E., & Wyatt, R.E. (1985). Dynamics of Eigenstate Transitions Induced by External Fields: A New Approach. Journal of Chemical Physics, 83:4.

Castillo, J.E., & Wyatt, R.E. (1985). Recursive Residue Generation Method for Laser-Molecule Interaction: Utilization of Structured Sparsity. Journal of Computational Physics, 59:1.

Technical Reports:

Abouali M., & Castillo J.E. (2010). General Curvilinear Ocean Model: Next Generation – Theory and Implementation. CSRC Publication, CSRCR 2010-02.

Carlos B., Abouali M., Castillo J.E., & Blomgren P. (2003). Mimetic Finite Difference PDE-based Models in Image Processing. CSRCR 2009-03.

Castillo, J.E., Shashkov, M., Hyman, J.M., & Steinberg, S. (1995). High-Order Finite-Difference Methods on Nonuniform Grids. Los Alamos National Laboratory, CNLS Report, LA-UR-95-583.

Castillo, J.E., & Otto, J.S. (1995). On the Transformation to an Orthogonal Coordinate System Aligned with a Vector Field, Part Two: Variational Grid Generation. CNLS Report, LA-UR-95-3407.

Castillo, J.E., Shashkov, M., Hyman, J.M., & Steinberg, S. (1994). The Sensitivity and Accuracy of Fourth Order Finite-Difference Schemes on Nonuniform Grids in One Dimension. Los Alamos National Laboratory, CNLS Report, LA-UR-94-3621.

Castillo, J.E., & Shashkov, M. (1993). Grid Generation Methods Consistent with Finite-Difference Schemes. Los Alamos National Laboratory, CNLS Report, LA-UR-93-2932.

Castillo, J.E., Steinberg, S., & Roache, P. (1987). On the Folding of Numerically Generated Grids. Technical Report No. 2, Institute for Computational Research, Department of Mathematics and Statistics University of New Mexico, Albuquerque, NM.

Professional Presentations

Paolini, C., Matthews, J., Sanchez, E., Corbino, J., Clarke, G., Dominguez, J., & Castillo, J. E., (2014). Thermal-Mechanical Model Coupling in Geologic CO2 Sequestration Simulation, 2014 Carbon Storage RD Project Review Meeting, U.S. Department of Energy, National Energy Technology Laboratory, Pittsburgh, PA.

Córdova, L.J., Rojas, O., Otero, B. & Castillo, J.E. (2014). A Comparative Study of Two Compact Finite Difference Methods: Standard vs. Mimetic. XII International Congress on Numerical Methods in Engineering and Applied Sciences, Pampatar, Magarita Island, Venezuela.

Castillo, J.E., & Sanchez, E. J. (2013). Mimetic Methods Toolkit (MTK), An Object-Oriented API Implementing Mimetic Discretization Methods. SIAM Conference in Computational Science and Engineering (CSDE-13), Boston, MA.

Castillo, J.E., & E. J. Sanchez (2012). Mimetic Methods Toolkit (MTK), An Object-Oriented API Implementing Mimetic Discretization Methods. SIAM Conference in Computational Science and Engineering (CSDE-13), Minneapolis, MN.

Castillo, J.E. (2009). High Order Mimetic Discretizations on Nonuniform Grids. SIAM Annual Meeting, Denver, CO.

Castillo, J.E. (2008). High Order Mimetic Differential Operators and Applications. SIAM Annual Meeting, San Diego, CA.

Castillo, J.E. (2006). Mimetic Discretizations for Elliptic Problems with Tensor Coefficients. SIAM Annual Meeting, Boston, MA.

Castillo, J.E. (2005). Fourth Order Mimetic Finite Difference Modeling of 2D Elastic P-Sv. SIAM Annual Meeting, New Orleans, LA.

Castillo, J.E. (2005). On the Solvability of the Castillo-Grone Mimetic Discretization. International Conference in Numerical Analysis and Applied Mathematics, Rhodes, Greece.

Castillo, J.E. (1996). Adaptive Direct Optimization Grid Generation Methods. SIAM Annual Meeting, Kansas City.

Castillo, J.E. (1994). Direct Optimization Grid Generation Methods. SIAM Annual Meeting, San Diego, CA.

Castillo, J.E. (1991, July). The Discrete Grid Generation Method on Curves and Surfaces. Mini Symposium ICIAM Meeting, Washington D.C.

Castillo, J.E. (1991, June). The Discrete Grid Generation Method on Curves and Surfaces. International Conference, Numerical Grid Generation in Computational Fluid Dynamics, Barcelona, Spain.

Castillo, J.E. (1990, July). Discrete Grid Generation on Curves. Contributed paper presented at the SIAM meeting, Chicago, IL.

Castillo, J.E. (1990, April). Discrete Variational Grid Generation. Contributed paper presented to the American Mathematical Society.

Castillo, J.E., & Hansen, L.K. (1989, July). Adaptive Grids for Surface Interpolation. Contributed paper presented at the SIAM Meeting, San Diego, CA.

Castillo, J.E. (1988). The Volume Integral in Variational Grid Generation, Mini Symposia at the SIAM Conference at Minneapolis, Minnesota.

Barrera-Sanchez, P., & Castillo, J.E. (1987). A Large-scale Non-Linear Optimization Problem Arising From Grid Generation I. Contributed paper presented at the SIAM conference in Optimization at Houston, TX.

Barrera-Sanchez, P., and Castillo, J.E. (1987, October). A Large-scale Non-Linear Optimization Problem Arising From Grid Generation II. Contributed paper presented at the SIAM Conference at Denver, Colorado.

Castillo, J.E. (1986, March). Folding of Numerical Grids: Use of Reference Grids. Conference presented at the ACM Rio Grande Chapter SIGNUM Meeting. Albuquerque, NM.

Castillo, J.E., Steinberg, S., and Roache, P. (1986, June). On the Folding of Numerically Generated Grids: Use of Reference Grids. Contributed paper presented at 10^th U.S. National Congress of Applied Mechanics, Austin, TX.

Castillo, J.E. (1986, July). Mathematical Aspects of Variational Grid Generation I. Contributed paper presented at the International Conference, Numerical Grid Generation in Computational Fluid Dynamics, Landshut, W. Germany.

Castillo, J.E., Steinberg, S., and Roache, P. (1986, July). Mathematical Aspects of Variational Grid Generation II. Contributed paper presented at the International Congress on Computational and Applied Mathematics, University of Leuven, Belgium.

Castillo, J.E. (1986, December). A Large-scale Non-Linear Optimization Problem Arising From Grid Generation. Conference presented at the ACM Rio Grande Chapter SIGNUM Meeting. Albuquerque, New Mexico.

Castillo, J.E., Steinberg, S., and Roache, P. (1985). On Folding of Numerical Grids. Paper presented at SIAM Fall Meeting, Tempe, Arizona.