Preprints and Reprints:

• J.E. Castillo M. Shashkov, J.M.Hyman and Stanly Steinberg, Fourth and Sith-Order Conservative Finite-Difference Approximastions of the Divergence and Gradient . Applied Numerical Mathematics (In Press).
• C. R. Torres, H. Hanazaki, J. Ochoa, J. Castillo and M. Van Woert, Flow pass a sphere moving verically in a stratified diffusive fluid. Jounal of Fluid Mechanics (In Press).
• M. Bohner and J.E. Castillo, Mimetic Methods on Measure Chains. Comp. and Math. Applic. (In Press).
• J.E. Castillo and J. S. Otto, On Numerical Techniques for the transformation to an orthogonal coordinate system aligned with a vector field. Comp. and Math. Applic. (In Press).
• C. R. Torres, J. Ochoa, J. Castillo and H. Hanazaki, A Numerical Simulation of the Flow pass a Sphere in Vertical Motion Within a Stratified Fluid. Journal of Computational and Applied Mathematics 103, 67-76, 1999.
• J.E. Castillo and J. S. Otto, A practical Guide to Planar Grid Generation, Comp. and Math applic., 37, 123-156, 1999.
• J.E. Castillo and J. S. Otto, A Generalized Length Strategy for Direct Optimization in Planar Grid Generation, Math. and Comp. in simulation, 44, 441-456, 1997.
• J. E. Castillo and Erik Pedersen (SDSU Graduate Student), Solution Adaptive Discrete Variational Grid Generation for Fluid Flow Calculations, Journal of Computational and Applied Mathematics 97, pp. 343-370, 1996.
• Torres-Navarrete, C. R., J. Ochoa y J. Castillo, A Numerical Experiment of the Flow Around a Sphere in Vertical Motion Within a Stratified Fluid. Numerical Methods in Engineering Simulation. Cerrolaza, M., C. Gajardo y C. Brebbia, eds. pp. 71-78.1996.
• J.E. Castillo M. Shashkov, J.M.Hyman and Stanly Steinberg,High-Order Mimetic Finite-Difference Methods on Nonuniform Grids, Houston Journal of Mathematics, special edition ICOSAHOM 95.
• J.E. Castillo M. Shashkov, J.M.Hyman and Stanly Steinberg,The Sensitivity and Accuracy of Fourth Order Finite-Difference Schemes on Nonuniform Grids in One Dimension, Computers Math. Applic. Vol. 30, pp. 41-55, 1995
• S. I. Quisca, J. E. Castillo and J. Aguirre, Adaptive Moving Mesh for Shallow Waters, Latinoamerican Journal of Hydraulic, No. 9, pp. 27-38 1994.
• J.E. Castillo and M. Shashkov, Grids Consistent with Finite Difference Schemes in Numerical Grid Generation in Computational Fluid Dynamics and Related Fluids, North Holland, 1994.
• J.E. Castillo, M. McEachern, J. Richardson, (SDSU Graduate Students), and S. Steinberg, Modeling the Otolith Membrane Using Boundary-Fitted Coordinates,  Applied Mathematical Modelling 1994, Vol. 18.