Carol S Woodward


Email: cswoodward@llnl.gov
Phone: 925-424-6013


Carol is a computational scientist in the Center for Applied Scientific Computing (CASC) at Lawrence Livermore National Laboratory. She leads the Nonlinear Solvers and Differential Equations (NSDE) Project within CASC and the B Division code verification Project. Her research interests include numerical methods for nonlinear partial differential equations, nonlinear and linear solvers, verifictaion of scientific codes, and parallel computing.

Carol has been a computational scientist with the Center for Applied Scientific Computing at Lawrence Livermore National Laboratory since June 1996. Prior to that time, Carol attended Rice University where she received her PhD Computational Science, and Engineering in May, 1996 working with thesis advisors Clint N. Dawson and Mary F. Wheeler. Carol's home department at Rice University was the Computational and Applied Mathematics Department. Prior to graduate school, Carol attended Louisiana State University where she graduated in 1991 with a B.S. in Mathematics. She completed high school at the Louisiana School for Math, Science and Arts, a two year residential high school that emphasizes advanced study in mathematics, sciences, humanities, and arts.

Publications

Journal and Submitted Articles

Peter N. Brown, Dana E. Shumaker, and Carol S. Woodward, "Fully Implicit Solution of Large-Scale Non-Equilibrium Radiation Diffusion with High Order Time Integration," to appear Journal on Computational Physics, 2005. Also available as Lawrence Livermore National Laboratory technical report UCRL-JRNL-203809, April 2004 [PDF].

Alan C. Hindmarsh, Peter N. Brown, Keith E. Grant, Steven L. Lee, Radu Serban, Dan E. Shumaker, and Carol S. Woodward, "SUNDIALS: Suite of Nonlinear and Differential/Algebraic Equation Solvers," to appear ACM Transactions on Mathematical Software, 2005. Also available as Lawrence Livermore National Laboratory technical report UCRL-JP-200037, September 2003 [PDF].

Lee, Steven L., Carol S. Woodward, and Frank Graziani, "Analyzing Radiation Diffusion using Time-Dependent Sensitivity-Based Techniques," Journal on Computational Physics, 192, (1), 2003, pp. 211-230. Also available as Lawrence Livermore National Laboratory technical report UCRL-JC-152392, March 2003 [PDF].

Brown, Peter N., Vassilevski, Panayot, and Woodward, Carol S., "On Mesh-Independent Convergence of an Inexact Newton-Multigrid Algorithm," submitted to SIAM Journal on Scientific Computing, 2002. Also available as Lawrence Livermore National Laboratory Technical Report UCRL-JC-148376. [PDF].

Jones, Jim. E., and Woodward, Carol S., "Newton-Krylov-Multigrid Solvers for Large-Scale, Highly Heterogeneous, Variably Saturated Flow Problems," Advances in Water Resources, 24 (July 2001), 763-774. Also available as LLNL technical report UCRL-JC-138618 [PDF].

Brown, Peter N., and Woodward, Carol S., "Preconditioning Strategies for Fully Implicit Radiation Diffusion with Material-Energy Transfer," SIAM Journal on Scientific Computing , 23 (May 2001), 499-516. Also available as LLNL technical report UCRL-JC-139087 [PDF].

Woodward, Carol S., and Dawson, Clint N., "Analysis of Expanded Mixed Finite Element Methods for a Nonlinear Parabolic Equation Modeling Flow into Variably Saturated Porous Media,'' SIAM Journal on Numerical Analysis, 37 (2000), 701-724. Also available as LLNL technical report UCRL-JC-125567.

Dawson, Clint N., Wheeler, Mary F., and Woodward, Carol S., "A Two-Grid Finite Difference Scheme for Nonlinear Parabolic Equations,'' SIAM Journal on Numerical Analysis 35 (2/April 1998), 435-452. Also available as LLNL technical report UCRL-JC-125599, (October 1996) [PDF].

Dawson, Clint N., Klie, Hector, Wheeler, Mary F., and Woodward, Carol S., "A Parallel, Implicit, Cell-Centered Method for Two-Phase Flow with a Preconditioned Newton-Krylov Solver,'' Journal on Computational Geosciences, 1 (1997), 215-249.

Gray, L.J., and San Soucie (Woodward), Carol, "A Hermite Interpolation Algorithm for Hypersingular Boundary Integrals,'' International Journal for Numerical Methods in Engineering, 36 (1993), 2357-2367.

Conference Proceedings

Jones, Jim E., Vassilevski, Panayot S., and Woodward, Carol S., "Nonlinear Schwarz-FAS Methods for Unstructured Finite Element Problems," Second M.I.T. Conference on Computational Fluid and Solid Mechanics, Cambridge, MA, June 17-20, 2003. Also available as Lawrence Livermore National Laboratory Technical Report UCRL-JC-150427. [PDF]

Woodward, Carol S., Grant, Keith E., and Maxwell, Reed, "Applications of Sensitivity Analysis to Uncertainty Quantification for Variably Saturated Flow," S. M. Hassanizadeh, R. J. Schotting, W. G. Gray, and G. F. Pinder, Eds., Computational Methods in Water Resources, Vol. 1, Elsevier, Amsterdam, 2002, pp. 73-80. Available as LLNL Technical Report UCRL-JC-146976. [PDF].

Jones, Jim E., and Woodward, Carol S., "Preconditioning Newton-Krylov Methods for Variably Saturated Flow," in Computational Methods in Water Resources, Vol. 1, L.R. Bentley, J.F. Sykes, C.A. Brebbia, W.G. Gray, and G.F. Pinder, eds., (Rotterdam, 2000), pp. 101-106. Also available as Lawrence Livermore National Laboratory technical report UCRL-JC-137011.

Brown, Peter N., Chang, Britton, Dorr, Milo, Hanebutte, Ulf R., and Woodward, Carol S., "Performing Three-Dimensional Neutral Particle Transport Calculations on Tera Scale Computers," in High Performance Computing 1999, Society for Computer Simulation International, San Diego, pages 76-81, 2000. Also available as LLNL Technical Report UCRL-JC-135151.

Brown, Peter N., Chang, Britton, Hanebutte, Ulf R., and Woodward, Carol S., "The Quest for a High Performance Boltzmann Transport Solver," in H. Power, M. Ingber and C. A. Brebbia, editors, Applications of High-Performance Computing in Engineering , volume VI, pages 91-102, Southampton, WIT Press/Computational Mechanics, 2000. Also available as LLNL Technical Report UCRL-JC-135151.

Brown, Peter N., Chang, Britton, Dorr, Milo, Hanebutte, Ulf R., and Woodward, Carol S., "Performing Three-Dimensional Neutral Particle Transport Calculations on Tera-Scale Computers," in Proceedings of the High Performance Computing Symposium 99, held in San Diego, California, April 11-15, 1999. Also available as LLNL Technical Report UCRL-JC-132006.

Brown, Peter N., Chang, Britton, Graziani, Frank, and Woodward, Carol S., "Implicit Solution of Large-Scale Radiation-Material Energy Transfer Problems," in David R. Kincaid and Anne C. Elster, editors, Iterative Methods in Scientific Computation IV , volume 5 of Series in Computational and Applied Mathematics, pages 343-356, New Brunswick, NJ, 1999. International Association for Mathematics and Computers in Simulations. Also available as LLNL Technical Report UCRL-JC-132831.

Hornung, Richard D., and Woodward, Carol S., "An Object-Oriented Approach for Development and Testing of Parallel Solution Algorithms for Nonlinear PDEs," in Object-Oriented Methods for Inter-Operable Scientific and Engineering Computing , pages 88-96, Philadelphia, 1998. SIAM. Proc. of SIAM workshop held in Yorktown Heights, NY, October 21-23, 1998. Also available as Lawrence Livermore National Laboratory technical report UCRL-JC-131836 (1998).

Woodward, Carol S., "A Newton-Krylov-Multigrid Solver for Variably Saturated Flow Problems," in Proceedings of the XII International Conference on Computational Methods In Water Resources (Computational Mechanics Publications, Southampton, UK), vol.2, pp. 609-616. Held in Crete, Greece, June 15—19, 1998. Also available as Lawrence Livermore National Laboratory technical report UCRL-JC-129371 (1998).

Technical Reports

Walker, Homer, and Woodward, Carol S., "Application Scientists Join Algorithm Designers at Workshop on Large-Scale Nonlinear Problems," in SIAM News, March 2004, vol. 37 (2).

Dumett, Miguel, Vassilevski, Panayot, and Woodward, Carol S., "A Multigrid Method for Nonlinear Unstructured Finite Element Elliptic Equations," 2002. Available as Lawrence Livermore National Laboratory Technical Report UCRL-JC-150513 [PDF].

Brown, Peter N., Grant, Keith E., and Woodward, Carol S., "On the Calculation of Uncertainties for 3-D Time-Dependent Neutral Particle Transport," Available as Lawrence Livermore National Laboratory technical report UCRL-JC-146186, November 2001 [PDF].

Walker, Homer, and Woodward, Carol S., "Solution Methods for Large-Scale Nonlinear Problems: An Evolving Research Area," in SIAM News, April 2001, page 16. Also available as LLNL Technical Report UCRL-MI-141913.

Brown, Peter N., Chang, Britton, Hanebutte, Ulf R., Smith, Steven G,. and Woodward, Carol S., A Highly Resolved Boltzmann Transport Calculation, Lawrence Livermore National Laboratory Technical Report UCRL-MI-134391.

San Soucie, Carol A., Mixed Finite Element Methods for Variably Saturated Subsurface Flow [Gzipped PostScript], PhD Thesis, Rice University, Houston, TX. Available as Rice University Department of Computational and Applied Mathematics technical report 96-10 (April 1996).

San Soucie, Carol A., PREQS User Guide [PDF], Texas Institute for Computational and Applied Mathematics, University of Texas at Austin technical report 96-27 (June 1996).

Cowsar, Lawrence C., San Soucie, Carol A., and Yotov, Ivan, PARCEL v1.04 User Guide [PDF], Texas Institute for Computational and Applied Mathematics, University of Texas at Austin, technical report 96-28 (June 1996).

Dawson, C. N., Arbogast, T., Moore, D., Saaf, F., San Soucie, C. A., Wheeler, M. F., and Yotov, I., Validation of the PICS Transport Code, Technical Report 94-74, Center for Research in Parallel Computing, Rice University, Houston, TX (January 1994).