Mónica L. Martínez-Canales

Business Address:
P.O. Box 969, MS 9217
Dept. Computational Sciences and Mathematics Research
Sandia National Laboratories
Livermore, CA 94551-0969
 
925-294-3157 (office)
925-294-2234 (fax)
csmr.ca.sandia.gov/~mmarti7
mmarti7@sandia.gov

EDUCATION
09/1998-08/2000 Stanford University
NSF Postdoctoral Fellow, Department of Geological and Environmental Sciences 		Stanford, CA
1992-1998 Rice University
Ph.D., Department of Computational and Applied Mathematics
Area of Specialization: Numerical Analysis 		Houston, TX
1992 Stanford University
B.S., Department of Mathematics 		Stanford, CA

PROFESSIONAL EXPERIENCE
09/2000-present Senior Member of Technical Staff, Dept. of Computational Sciences and Mathematics Research, Sandia National Laboratories, Livermore, CA
Developing stochastic programming methods and error estimators for partial differential equations.
09/1998-08/2000 NSF Mathematical Sciences Postdoctoral Research Fellow, Stanford Hydrogeology Group, Dept. of Geological and Environmental Sciences, Stanford University, Stanford, CA
Developing and implementing a computational management model for groundwater contaminant plume containment. The model uses a stochastic component to simulate unknown or uncertain parameters. Moreover, the model uses a new penalty mapping method based on advective transport to ensure plume containment.
09/1997-08/1998 Postdoctoral Fellow, Center for Subsurface Modeling, The University of Texas, Austin, TX
Modified communication protocol of parllel surface water flow simulator and ported to an IBM rs6000 workstation cluster, an IBM SP2, and the Cray T3D. Worked with another university research group to integrate our flow simulators into their data management framework.
Supervised an undergraduate student.
08/1992-08/1997 Graduate Research Assistant, Department of Computational and Applied Mathematics, Rice University, Houston, TX
As a member of a research team, developed and evaluated numerical finite element models of nonlinear shallow water equations describing bays and oceans. Worked with representatives from state agencies in accessing research priorities and needs. Periodically reported progress to team supervisor. Parallelized serial surface water flow simulator using the Message Passing Interface library and ported to the Intel Paragon and IBM SP2.
Occasionally substitute taught graduate level classes in numerical partial differential equations and in numerical analysis.
Summers
            1995

            1994

            1993

Research Assistant, Spend a Summer with a Scientist, Rice University, Houston, TX
Developed a theoretical stability estimate for a finite element model of a surface flow simulator based on the shallow water equations.
Investigated numerical schemes for solving stiff ordinary differential equations modeling chemical reaction rates in the atmosphere.
Researched theoretical development of trust region methods and line search methods within the constrained optimization literature.
Summer 1992 Research Assistant, Department of Computational Science and Engineering, Sandia National Laboratories, Livermore, CA
Integrated a direct search algorithm into a constrained optimization framework for solving the Lennard-Jones Potential formulation of the protein-folding problem.

REFEREED PUBLICATIONS
              "A Characteristic Galerkin Approximation to the System of Shallow Water Equations," C. N. Dawson and M. L. Martínez-Canales, Numerische Mathematik, 86(2000), No. 2, pp. 239-256.
"Finite Element Approximations to the System of Shallow Water Equations, Part III: On the Treatment of Boundary Conditions," C. N. Dawson and M. L. Martínez-Canales, SIAM Journal of Numerical Analysis, 38(2000), No. 1, pp. 149-159.
"Finite Element Approximations to the System of Shallow Water Equations, Part II: Discrete Time A Priori Error Estimates," S. Chippada, C. N. Dawson, M. L. Martínez-Canales, and M. F. Wheeler, SIAM Journal of Numerical Analysis, 36(1999), No. 1, pp. 226-250.
"Finite Element Approximations to the System of Shallow Water Equations, Part I: Continuous Time A Priori Error Estimates," S. Chippada, C. N. Dawson, M. L. Martínez, and M. F. Wheeler, SIAM Journal of Numerical Analysis, 35(1998), No. 2, pp. 692-711.
"A Projection Method for Constructing a Mass Conservative Velocity Field," S. Chippada, C. N. Dawson, M. L. Martínez, and M. F. Wheeler, Computer Methods in Applied Mechanics and Engineering, 157(1998), pp. 1-10.
"A Godunov-type Finite Volume Method for the System of Shallow Water Equations," S. Chippada, C. N. Dawson, M. L. Martínez, and M. F. Wheeler, Computer Methods in Applied Mechanics and Engineering, 151(1998), pp. 105-129.
"Direct Search Methods for the Molecular Conformation Problem," J. C. Meza and M. L. Martínez, Journal of Computational Chemistry, 15(1994), No. 6, pp. 627-632.

ARTICLES
              "Computational and Applied Mathematics: Designing a Super Cow," M. L. Martínez-Canales, SACNAS NEWS, 3(1999), No. 3, pp. 22-24.
"Surface Flow Modeling of Bays, Estuaries, and Coastal Oceans," S. Chippada, C. N. Dawson, H. C. Edwards, M. L. Martínez, and M. F. Wheeler, Parallel Computing Research, 4(1996), No. 3.
"Parallel Computing for Finite Element Models of Surface Water Flow," S. Chippada, C. N. Dawson, M. L. Martínez, and M. F. Wheeler, in Computational Methods in Surface Flow and Transport Problems, A. A. Aldama, J. Aparicio, C. A. Brebbia, W. G. Gray, I. Herrera, and G. F. Pinder, editors, Vol. 2 of Computational Methods in Water Resources XI, pp. 63-70, 1996.

TECHNICAL PRESENTATIONS
              "Non-Intrusive Main Effects and Sensitivity Computations for Uncertainty Quantification," Minisymposium on Uncertainty Quantification, SIAM Conference on Computational Science and Engineering, San Diego, February 9-13, 2003.
              "A Reverse Trajectory Method for Contaminant Containment in Aquifers with Uncertain Properties," Center for Environmental Fluids, Johns Hopkins University in Baltimore, MD on April 13, 2001.
              "Incorporating Uncertainty into Simulation: Modeling Contaminant Plume Containment under Uncertainty due to Spatially Variable Aquifer Properties," Bay Area Scientific Computing Day in Livermore, CA on February 10, 2001.
              "Contaminant Plume Containment under Uncertainty due to Spatially Variable Aquifer Properties," SIAM Annual Meeting in Rio Grande, Puerto Rico on July 13, 2000.
"Contaminant Plume Containment under Uncertainty due to Spatially Variable Aquifer Properties," Hydrogeology Seminar, Department of Geological and Environmental Sciences, Stanford University in Stanford, CA on November 17, 1999.
"Incorporating Uncertainty in Aquifer Management Modeling," SIAM Annual Meeting in Atlanta, GA on May 12, 1999.
"Stochastic Aquifer Management Modeling," Dept. of Computational Sciences and Mathematics, Sandia National Laboratories in Livermore, CA on April, 29, 1999.
"Interior Point Methods for Modeling Chemical Equilibrium in Porous Media," honoring the 60th birthday of Richard A. Tapia, SIAM Annual Meeting in Toronto, Canada on July 14, 1998.
"Characteristic Methods for Shallow Water Equations," SIAM 45th Anniversary Meeting in Stanford, CA on July 17, 1997.
"A Priori Estimates for Finite Element Models of the System of Shallow Water Equations," Fourth SIAM Conference on Geosciences in Albuquerque, NM on June 18, 1997.
"Shallow Water Equations: Modeling of Bays, Estuaries and Oceans," Institute for Mathematics and its Applications, University of Minnesota in Minneapolis, MN on October 5, 1996.
"Parallel Algorithms for Surface Flow," Center for Research on Parallel Computing Annual Meeting in Argonne, IL on May 15, 1996.
"Finite Element Approximations to a System of Shallow Water Equations: a Parallel Implementation," SIAM Annual Meeting in Charlotte, NC on October 24, 1995.
"Finite Element Approximations to a System of Shallow Water Equations: A Priori Error Estimates," SIAM Annual Meeting in Charlotte, NC on October 24, 1995.
"The Molecular Configuration Problem: An Optimization Approach,'' SACNAS Annual Meeting in Albuquerque, NM on January, 1993.

RESEARCH INTERESTS
              Numerical solutions, mathematical analysis, and computational methods (including error estimates and operator splitting methods) for partial differential equations describing fluid flow.
Optimization and statistical methods: optimization under uncertainty.

PROFESSIONAL MEMBERSHIP
              American Geophysical Union (AGU)
Association for Women in Science (AWIS)
Association for Women in Mathematics (AWM)
Society for the Advancement of Chicanos and Native-Americans in Science (SACNAS)
Society for Industrial and Applied Mathematics (SIAM)

PROFESSIONAL ACTIVITIES
              Panels and Workshops Committee Member, Grace Hopper Celebration of Women in Computing 2002; Vancouver, British Columbia, Canada, October 9-12, 2002.
              Organizing Committee, 3rd Annual Bay Area Scientific Computing Day held at the Crowne Plaza in Pleasanton, CA on March 2, 2002.
              Organizing Committee, 10th SIAM Conference on Parallel Processing for Scientific Computing in Portsmouth, VA on March 11-14, 2001.
Application Reviewer, AWIS'"Dr. Vicki L. Schechtman Scholarship" for high school seniors and college freshmen. 2000, 2001.
              Mini-symposium Co-organizer, "Optimization in Engineering," SIAM Annual Meeting in Rio Grande, Puerto Rico on July 12-13, 2000.
Program Committee Member, SACNAS Annual Meeting, Atlanta, GA, 2000.
Mini-symposium Organizer, "Environmental Surface Flow Modeling," Fourth SIAM Conference on Geosciences in Albuquerque, NM on June 18, 1997.
Journal Referee, Advances in Water Resources
Journal Referee, Computer Methods in Applied Mechanics and Engineering
Journal Referee, SIAM Journal of Numerical Analysis
NSF Panelists/Reviewer, 2001, 2002

ADVISEES
              Sharon Ann Lozano, B.S. Mathematics Honors Thesis, The University of Texas at Austin, 1998 (with Mary F. Wheeler).

SCIENCE EDUCATION AND OUTREACH ACTIVITIES
              Speaker, SACNAS Annual Meeting, Portland, OR
Presented "A Computational and Applied Mathematician’s Perspective: Designing Groundwater Management Models" on October 9, 1999.
Speaker, SACNAS-University of Puerto Rico Summer Institute in Mathematics for Undergraduates, Humacao, Puerto Rico
Presented "The Mathematics of Groundwater Modeling" to summer undergraduate students on July 23, 1999.
Speaker, Jackson State University High Performance Computing Summer Institute, Jackson, MS
Presented "Environmental Quality Management: Computational Hydrodynamics" to summer undergraduate students on June 9, 1998.
Lecturer, Expanding Your Horizons Conference, Austin, TX
Developed and presented a computer visualization of Galveston Bay within my talk "Modeling Bays and Estuaries" to middle-school-aged girls at The University of Texas on February 28, 1998.
Co-organizer, Graduate Student Focus on Diversity, Charlotte, NC
Co-organized all-day workshop for underrepresented graduate students in mathematics during the SIAM Annual Meeting on October 24, 1995.
Graduate Student Advisor, SACNAS Gaining the Edge Workshop, Phoenix, AZ
Advised and mentored undergraduate students about the graduate school application process in November 1995.
Seminar Speaker, Society for Hispanic Professional Engineers Region V, Student Leadership Conference, Houston, TX
Researched, developed and presented "A Look at Graduate School" for undergraduate student members of the Society for Hispanic Professional Engineers on October 15, 1993.
Speaker, Dibol Independent School District, Dibol, TX
Gave motivational speech to teachers and students of Dibol Independent School District as part of an in-service in September 1993.


Updated April 8, 2002