Recent Publications

Recent Papers:

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.

C.R. Torres, A. S. Mascarenhas and J.E. Castillo (2004), Three-dimensional stratified flow over the Alarcon Seamount, entrance to the Gulf of California.Deep-Sea Res., Vol. 51 (6-9) pp. 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 Applied Numerical Mathematics, 47, 493-502.

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, pp 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 Applied Numerical Mathematics, 40/1-2 pp. 235-244. Page 3 of 9 - Rev. 9/27/2005, 10:06 AM

Bohner, M., & Castillo, J.E. (2001). Mimetic methods on measure chains, Journal Computers and Mathematics Application, 42, 705-710.

Torres, C.R., Castillo, J.E., & Rangel, R.H. (2001, May 14-17). 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, September 30- October 5). 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 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.