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The California State University

Publications

  • Castillo, J.E., L. Cordova, O. Rojas and B. Otero. 2015. Compact finite difference modeling of 2-D acoustic wave propagation. Journal of Computational and Applied Mathematics.

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

  • Castillo, J.E., E. Sanchez and C. Paolini. 2014. The Mimetic Methods Toolkit: An object-oriented API for Mimetic Finite Differences. Journal of Computational and Applied Mathematics.

  • Castillo, J.E., O. Rojas and S. Day. 2014. Low Dispersive Modeling of Rayleigh Waves on Partly-Staggered Grids. Computational Geosciences 18: 29-43.

  • Castillo, J.E., R. Hernandez-Walls, E. Rojas-Mayoral and J. Giron-Nava. 2014. Semi-discrete numeric solution for the non-stationary heat equation using mimetic techniques. European Journal of Physics 35.

  • Castillo, J.E., M. Garcia, I. Ramirez and M. Verlaan. 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.

  • Castillo, J.E., E. Sanchez, C. Paolini and A. Park. 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).

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

  • Castillo, J.E. and M. Abouali. 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.

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

  • Castillo, J.E. and M. Abouali. 2013. Solving Poisson Equation with Robin Boundary Condition on a Curvilinear Mesh Using High Order Mimetic Discretization Methods. Mathematics and Computers in Simulation.

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

  • Castillo, Jose E and M. Abouali. 2012. The Castillo-Grone's Mimetic Difference Operators in 2D and 3D Fully Curvilinear Grids: Case Study of Poisson's Equation. Presented at MASCOT&ISGG 2012 Workshops, October 22-26, in Las Palmas de Gran Canaria.

  • Castillo, Jose E and M. Abouali. 2012. Solving Navier-Stokes' Equation Using Castillo-Grone's Mimetic difference operators on GPUs. Presented at 65th Annual Meeting of the APS Division of Fluid Dynamics, November 18-20, in San Diego.

  • Castillo, J.E., V. Pereyra and M. Saunders. 2011. Equispaced Pareto Front Construction for Constrained Bi-Objective Optimization. Journal of Mathematical and Computer Modelling.

  • Castillo, J.E., D. De Cecchis and L. Drummond. 2011. Design of a Distributed Coupling Toolkit for High Performance Computing Environment. Journal of Mathematical and Computer Modelling.

  • Castillo, J.E., C. Bazan, M. Abouali and P. Blomgren. 2011. Mimetic Finite Difference PDE-Based Models in Image Processing. Computational & Applied Mathematics 30: 1-20.

  • Castillo, Jose E, C. Binter, C. Paolini and A.J. Park. 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. Presented at Tenth Annual Conference on Carbon Capture and Sequestration., May 2-5, in Pittsburgh.

  • Castillo, Jose E, C. Paolini, A.J. Park and C. Binter. 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. Presented at 47th AIAA/ASME/SAE/ASEE Joint Propulsion Conference and Exhibit and the 9th Annual International Energy Conversion Engineering Conference, July 31 - August 4, in San Diego.

  • Castillo, J.E. and M. Abouali. 2011. Unified Curvilinear Ocean Atmosphere Model (UCOAM): A Vertical Velocity Case Study. Journal of Mathematical and Computer Modelling 57: 2158-2168.

  • Castillo, J.E. and E. Batista. 2009. Mimetic Schemes on Non-Uniform Structured Meshes. Electronic Transactions of Numerical Analysis 34: 152-162.

  • Castillo, J.E., O. Rojas, E. Dunham and S. Dalguer. 2009. Finite Difference Modeling of Rupture Propagation with Strong Velocity-Weakening Friction. Geophysical Journal International Seismology 179: 1831-1858.

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

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

  • Castillo, J.E. and J. Guevara-Jordan. 2007. Convergence of a Mimetic Finite Difference Method for Static Diffusion Equation. Advances in Difference Equations 12303: 1-12.

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

  • Castillo, J.E., C. Torres and G. Larrazabal. 2006. Understanding Three-Dimensional Circulation in Lake Valencia, Venezuela: A Numerical Approach. In Simulación y Modelado en Ingenieria y Ciencias. , edited by B. Gamez, D. Ojeda, G. Larrazabal and M. Cerrolaza. Universidad Central De Venezuela.

  • Castillo, Jose E and M. Yasuda. 2005. On the Solvability of the Castillo-Grone Mimetic Discretization. Presented at International Conference on Numerical Analysis and Applied Mathematics, September 16-20, in Rhodes, Greece.

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

  • Castillo, S., S. Rojas, J. Castillo and J. Guevara. 2004. A Comparative Numerical Study of two Mimetic Finite Difference Methods for Solving the Seady Diffusion Equation with Rough Coefficients on Non Uniform Grids. In 7th Internacional Congress on Numerical Methods Applied on Science and Engineering, 1-8. San Cristobal, Venezuela: SIMULACION NUMERICA Y MODELADO COMPUTACIONAL EDITORS: J.ROJO, M.J. TORRES AND M. CERROLAZA. ISBN:980-6745-00-0.

  • Freites, M., J. Guevara, O. Rojas, J. Castillo and S. Rojas. 2004. A Mimetic FInite Difference Scheme for Solving the Steady State Diffusion Equation. In 7th Internacional Congress on Numerical Methods Applied in Science and Engineering, 25-32. San Cristobal, Venezuela: SIMULACION NUMERICA Y MODELADO COMPUTACIONAL, Eds J.ROJO, M.J. TORRES AND M. CERROLAZA.ISBN:980-6745-00-0.

  • Castillo, J.E., C. Torres and A. Mascarenhas. 2004. Three-dimensional stratified flow over the Alarcon Seamount, entrance to the Gulf of California. Deep Sea Research Part II: Topical Studies in Oceanography 51: 647-657.

  • Castillo, J.E. and M. Yasuda. 2003. A Comparison of Two Matrix Operator Formulations for Mimetic Divergence and Gradient Discretizations. In Proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications, 1281-1285. Las Vegas: Journal on Mathematical Modelling and Algorithms.

  • Castillo, J.E. and R. Grone. 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., G. Larrazabal and C. Torres. 2003. An efficient and robust algorithm for 2D stratified fluid flow calculations. Journal Applied Numerical Mathematics 47: 493-502.

  • Castillo, J.E. and C. Torres. 2003. Stratified Rotating Flow over Complex Terrain. Journal Applied Numerical Mathematics 47: 531-541.

  • Castillo, J. and R. Grone. 2003. A matrix analysis approach to high-order approximations. SIAM Journal of Matrix Analysis and Applications 25: 128-142.

  • Castillo, J.E. and C. Torres. 2002. A New 3D Curvilinear Coordinates Numerical Model for Oceanic Flow Over Arbitrary Bathymetry. In Desarrollos Recientes en Métodos Numéricos, edited by C. Muller-Karger, M. Lentini and M. Cerrolaza. MF.

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

  • Castillo, J.E., C. Torres, J. Ochoa and M. Van Woert. 2002. Initial flow field of stratified flow pass an impulsive started sphere. Journal Applied Numerical Mathematics 40: 235-244.

  • McGuinness, T. and J. Castillo. 2002. Steady state diffusion problems on non-trivial domains: Support operator method integrated with direct optimization grid generation. Applied Numerical Mathematics 40: 207-218.

  • Castillo, J.E. 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, 1-32. Banff, Alberta, Canada: Fluid, Thermal, Biological and Materials Science II.

  • Rangel, R., J. Trolinger, C. Coimbra, J. Castillo and C. Torres. 2001. Studies of fundamental particle dynamics in microgravity. In Microgravity Transport Processes in Fluid, Thermal, Biological and Material Sciences II, 1-9.

  • Torres, C., J. Castillo and R. Rangel. 2001. Numerical study of stratified flow past a sphere inside a cylinder. In V Latin American and Caribbean Congress on Fluid Mechanics.

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

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

  • Castillo, J., J. Hyman, M. Shashkov and S. Steinberg. 2001. Fourth and sixth order conservative finite difference approximations of the divergence and gradient. Applied Numerical Mathematics 37: 171-187.

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

  • Castillo, J.E., C. Torres-Navarrete, H. Hanazaki, J. Ochoa and M. Van Woert. 2000. Flow past a sphere moving vertically in a stratified diffusive fluid. Journal of Fluid Mechanics 417: 211-236.

  • Castillo, J., M. Shashkov, J. Hyman and S. Steinberg. 2000. Fourth and sixth-order conservative finite-difference approximations of the divergence and gradient. Applied Numerical Mathematics 37: 171-187.

  • Torres-Navarrete, C., H. Hanazaki, J. Castillo and M. Woert. 2000. Flow past a sphere moving vertically in a stratified diffusive fluid. Journal of Fluid Mechanics 417: 211-236.

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

  • Castillo, J.E. and J. Otto. 1999. A Practical Guide to Planar Grid Generation. Journal Computers and Mathematics Applications 37: 123-156.

  • Castillo, J.E. and J. Otto. 1997. A Generalized Length Strategy for Direct Optimization in Planar Grid Generation. Math. Comp. in Simulation 44: 441-456.

  • Castillo, J.E., C. Torres-Navarrete and J. Ochoa. 1996. A Numerical Experiment of the Flow Around a Sphere in Vertical Motion Within a Stratified Fluid. In Numerical Methods in Engineering Simulation, edited by . Boston: Computational Mechanics Publication.

  • Castillo, J.E. and F. Uson. 1996. Adaptive Algorithms on the Physical Grid. In Numerical Methods in Engineering Simulation, edited by M. Cerrolaza, C. Gajardo and C. Brebbia. Boston: Computational Mechanics Publication.

  • Castillo, J.E. and E. Pedersen. 1996. Solution adaptive discrete variational grid generation for fluid flow calculations. Journal of Computational and Applied Mathematics 67: 343-370.

  • Castillo, J.E., M. Shashkov, J. Hyman and S. Steinberg. 1995. High-order Mimetic Finite-Difference Methods on Nonuniform Grids. Houston Journal of Mathematics.

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

  • Castillo, J.E., S. Quisca and J. Aguirre. 1994. Adaptive Moving Mesh for Shallow Waters. Latinoamerican Journal of Hydraulic 9: 27-38.

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

  • Castillo, J.E. and M. Shashkov. 1994. Grids Consistent with Finite Difference Schemes. Numerical Grid Generation in Computational Fluid Dynamics and Related Fluids.

  • Castillo, Jose E. 1994. Direct Optimization Grid Generation Methods. Presented at Proceedings of 14th IMACS World Congress on Computational and Applied Mathematics, July, in Atlanta.

  • Castillo, Jose E and J. Richardson. 1993. Parallel Solution of Elliptic Partial Differential Equations on Irregular Geometries. Presented at Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing, March, in Norfolk.

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

  • Castillo, J.E. 1991. An Adaptive Direct Variational Grid Generation Method. Journal Computers and Mathematics Applications, 4.

  • 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, edited by J. Castillo. North Holland.

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

  • Castillo, Jose E and M. Gustafson. 1990. Preconditioning a Large Scale Optimization Problem in Grid Generation. Presented at Proceedings of the IASTED International Symposium on Modeling, Simulation and Optimization, May 22-24, in Montreal.

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

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

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

  • Castillo, Jose E. 1987. A Direct Variational Grid Generation Method. Presented at Proceedings of 6th IMACS Inter. Symp. On Computer Methods for Partial Differential Equations, June, in Lehigh University, Bethlehem, PA.

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

  • Castillo, J.E. 1986. Mathematical Aspects of Variational Grid Generation I. In Numerical Grid Generation in Computational Fluid Dynamics, edited by . Swansea: Pineridge Press Limited.

  • Castillo, J.E. 1985. Recursive Residue Generation Method for Laser-Molecule Interaction: Utilization of Structured Sparsity. Journal of Computational Physics 59.

  • Castillo, J.E., K. Milfeld and R. Wyatt. 1985. Dynamics of Eigenstate Transitions Induced by External Fields: A New Approach. Journal of Chemical Physics 83.

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Educational Background

  • 1987 – Ph.D., University of New Mexico (Applied Mathematics)

  • 1984 – M.S., University of Texas at Austin (Mathematics and Computer Science)

  • 1978 – 1978, Universidad Central de Venezuela (Mathematics)

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Grants

  • PZFlex Lab: Graphics CSRC

  • The Neonatal Mammalian Cardiocyte as a Model for Studying Diabetes

  • The Neonatal Mammalian Cardiocyte as a Model for Studying Diabetes

  • Web Archiving Service

  • Web Archiving Service

  • Broadening Opportunities for Interdisciplinary Computational Science and Engineering Research and Training (ICSERT

  • Broadening Opportunities for Interdisciplinary Computational Science and Engineering Research and Training (ICSERT

  • SDSU Bridges to the Baccalaureate Program

  • Bridges to the Baccalaureate

  • Embedded Boundary Methods Pojects

  • Bridges to the Baccalaureate

  • Dengue Prevention Consortium

  • Dengue Prevention Consortium

  • ARRA: Science Master's Program Integrating Regulatory Affairs in BioScience and Biomedical Physics: A Scalable, Replicable Model Addressing Current and Emerging Workforce Needs

  • CC-NIE Network Infrastructure: Implementation of a Science DMZ at San Diego State University to Facilitate High-Performance Data Transfer for Scientific Applications

  • SDSU Bridges to the Baccalaureate Program

  • SDSU Bridges to the Baccalaureate Program

  • Undergraduate Student Scholarships for Participation in Interdisciplinary Computational Science and Engineering Research

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Positions & Honors

  • 2000 - present – Professor, Department of Mathematics, San Diego State University

  • 1999 - present – Director, Computational Science Research Center, San Diego State University

  • 1992 - 1999 – Associate Professor, Department of Mathematics, San Diego State University

  • 1987 – 1992 – Assistant Professor, Department of Mathematics, San Diego State University

  • 1984 – 1987 – Teaching Associate, Dept. of Mathematics & Statistics, University of New Mexico

  • 1984 – 1985 – Research Associate, Ecodynamics Research Associates, Albuquerque, New Mexico

  • 1983 – 1984 – Research Assistant, University of Texas at Austin

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Collaborators, Advisors & Advisees

  • Abouali, M – San Diego State University

  • Choboter, P – Cal Poly San Luis Obispo

  • Corbino, J – San Diego State University

  • De Cecchis, D – San Diego State University

  • Gracia, M – San Diego State University

  • Guevara, J – Universidad Central de Venezuela

  • Hyman, M – Los Alamos National Laboratory

  • Larrazabal, G – Universidad de Carabobo, Venezuela

  • Mathews, J – San Diego State University

  • Rojas, O – San Diego State University

  • Sanchez, E – San Diego State University

  • Scott, D – University of Texas at Austin

  • Steinberg, S – University of New Mexico

  • Steinberg, S – University of New Mexico

  • Thomas, M – San Diego State University

  • Thomas, M – San Diego State University

  • Torres, C – Universidad Autónoma de Baja California, Mexico

  • Wong, C – San Diego State University

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