Daniel R. Reynolds
UC San Diego, Mathematics
9500 Gilman Drive
La Jolla, CA 92093-0112
Phone: 858.534.5862
Rice University,
Houston, TX, 1998 – 2003
Ph.D. in Computational and Applied
Mathematics, 2003
M.A. in Computational and Applied
Mathematics, 2002
Southwestern University,
Georgetown, TX, 1994 – 1998
B.A. in Mathematics, Magna Cum
Laude, 1998
Postdoctoral:
Department of Mathematics, University of California, San Diego, 2005 –
present
(advisors: Dr. Michael
J. Holst [Mathematics] and Dr. Michael L. Norman [Astrophysics]).
Joint position between Mathematics
and the Center for Astrophysics and Space Sciences.
Research on scalable methods for
radiation transport and multiscale modeling in astrophysics.
Research within multi-disciplinary
TOPS collaborations on scalable solvers and constrained evolution algorithms
for fusion energy and supernova applications.
Teaching Visitor:
Department of Mathematics, University of California, San Diego, Fall 2006
Taught course on Numerical
Methods for Science and Engineering.
Received excellent evaluations, available at
www.cape.ucsd.edu/scripts/detailedStats.asp?SectionId=567798.
Topics included floating point arithmetic, linear and nonlinear
equations, interpolation, integration, optimization, least squares and
differential equations.
Teaching Visitor: Department of Mathematics,
University of California, San Diego, Winter 2006
Taught course on Introduction to Differential Equations for class of approximately 120 students.
Received excellent
evaluations, available at
www.cape.ucsd.edu/scripts/detailedStats.asp?SectionId=554728.
Topics included infinte series and ordinary differential equations,
including separable, linear, exact, undetermined coefficients,
variations of parameters, series solutions and Laplace
transforms.
Postdoctoral: Center
for Applied Scientific Computing, Lawrence Livermore National Lab, 2003 –
2005
(research advisor: Dr. Carol S. Woodward).
Formed crux of multi-disciplinary collaboration coupling high accuracy, fully implicit numerical methods, nonlinear solvers and scalable preconditioning algorithms with resistive magnetohydrodynamics models of fusion energy, and with astrophysical models of core-collapse supernovae, as part of DOE SciDAC program (TOPS).
Doctoral Research: Department of
Computational and Applied Mathematics, Rice University, 2000 –
2003
(research advisor:Dr. Petr Kloucek).
Derived first-principles, fully coupled, continuum-thermodynamic model describing the behavior of shape memory alloy (SMA) wires undergoing solid-state phase transformations.
Developed an efficient and robust solution to the resulting system of nonlinear, non-convex PDEs.
Invented damping mechanisms for vibrating systems based on thermal controls of SMA wires.
Teaching Assistant: Department of Computational and Applied Mathematics, Rice University, 2000
(teaching advisor:
Dr. William W. Symes).
Responsible for weekly recitation
sessions, solution sheets and grading for course on Differential Equations
in Science and Engineering.
Topics included Green's functions, exponential and series solutions,
numerical methods for initial and boundary value problems of mathematical
physics, dynamics of mass-spring systems and circuits, equilibria of
solids, fluids and heat flow.
Teaching Assistant: Department of Computational and Applied Mathematics, Rice University, 1999
(teaching advisors:
Dr. Petr Kloucek and Dr. Matthias Heinkenschloss).
Responsible for weekly recitation sessions, solution sheets, and grading for course on Matrix Analysis.
Topics included equilibria, the solution of linear and linear least squares problems, dynamical systems, the eigenvalue problem with the Jordan form, the Laplace transform via complex integration.
Summer Research: Department of Computational and Applied Mathematics, Rice University, 1999
(research advisors: Dr. William W. Symes and Dr. Mark S. Gockenbach).
Implemented abstract interface to adjoint state method for solution of inverse wave equations.
Investigated automatic differentiation techniques for sensitivity calculations within adjoint methods.
LLNL
Subcontract B555750 (co-PI; with M. Holst), 2005; ~$64 thousand for 1 year
DOE SciDAC
(co-PI; with D. Keyes, et al.), 2006-2011; ~$3.1 million per year (total)
Member,
Society for Industrial and Applied Mathematics (SIAM), 2000 – present
Member, SIAM
Dynamical Systems Group, 2000 – present
Member,
American Mathematical Society (AMS), 2000 – present
Member,
Mathematical Association of America (MAA), 2003 – present
Referee,
SIAM Journal on Numerical Analysis, 2004 – present
Referee, SIAM
Journal on Scientific Computing, 2004 – present
Referee, SIAM
Review, 2005 – present
Organizer,
invited mini-symposium on "Applications of Nonlinear Solvers," SIAM Annual
Meeting, 2005
Invited
panelist on "Landing a Job After Graduate School," SIAM Annual Meeting, 2005
Organizer,
plenary panel discussion on "Research Directions and Enabling Technologies for
the Future of CS&E", SIAM Conference on Computational Science and
Engineering, 2007
Finalist, Ralph Budd Award for
best Ph.D. Thesis in Engineering, 2003
Finalist, John Von Neumann
Postdoctoral Fellowship, Sandia National Lab, 2003
Member of Rice's winning team,
SIAM 100-Digit Challenge, 2002
Phi Beta Kappa National Honor
Society, 1998
Alpha Chi National Honor Society,
1998
Atkins Memorial Award in
Mathematics, 1997
Southwestern University Dean's
List, 1995 – 1998
M.L. Norman, G.L. Bryan, R.
Harkness, J. Bordner, D. Reynolds, B. O'Shea and R. Wagner, "Simulating
Cosmological Evolution with Enzo," in Petascale Computing: Algorithms and
Applications, D. Bader (editor), CRC Press,
2007.
D.R. Reynolds, R. Samtaney and
C.S. Woodward, "A Fully Implicit Numerical Method for Single-Fluid Resistive
Magnetohydrodynamics," Journal of Computational Physics, 219:144-162, 2006.
P. Kloucek and D.R. Reynolds, "On
the Modeling of Nonlinear Thermodynamics in SMA Wires," Computer Methods in
Applied Mechanics and Engineering,
196:180-191, 2006.
D.E. Keyes, D.R. Reynolds and C.S.
Woodward, "Implicit Solvers for Large-Scale Nonlinear Problems," Journal of
Physics: Conference Series, 46:433-442,
2006.
P. Kloucek, D.R. Reynolds and T.I.
Seidman, "Computational Modeling of Vibration Damping in SMA Wires," Continuum
Mechanics and Thermodynamics, 16: 495-514,
2004.
D. Cox, P. Kloucek and D.R.
Reynolds, "On the Asymptotically Stochastic Computational Modeling of
Microstructures," Future Generation Computer Systems, 20: 409-424, 2004.
P. Kloucek, D.R. Reynolds and T.I.
Seidman, "On Thermodynamic Active Control of Shape Memory Alloy
Wires," Systems & Control Letters,
48: 211-219, 2003.
M.S. Gockenbach, D.R. Reynolds, P.
Shen and W.W. Symes, "Efficient and Automatic Implementation of the
Adjoint State Method," ACM Transactions on Mathematical Software, 28: 22-44, 2002.
D.R. Reynolds, R. Samtaney and
C.S. Woodward, "Operator-Based Preconditoning of Stiff Hyperbolic MHD Systems,"
(in preparation).
D.R. Reynolds, R. Samtaney and
C.S. Woodward, "Physics-Based Preconditioning of Resistive MHD Systems," (in
preparation).
D.R. Reynolds, "On the Improvement
of Splitting Methods for Fully Implicit Systems of Equations," (in
preparation).
D.R. Reynolds and R. Szypowski, "Panel
Discusses Research Directions and Enabling Technologies for the Future of
CS&E," SIAM News, May 2007.
D.D. Cox, P. Kloucek, D.R. Reynolds
and P. Solin, "Stochastic Relaxation of Variational Integrals with
Non-attainable Infima," in Proceedings: ENUMATH 2003 European Conference on
Numerical Mathematics, Springer-Verlag,
Berlin, 2004.
D.R. Reynolds, "A Nonlinear
Thermodynamic Model for Phase Transitions in Shape Memory Alloy Wires," Ph.D.
Thesis, Rice University Department of Computational and Applied Mathematics, April 2003.
P. Kloucek, D.R. Reynolds and T.I.
Seidman, "Thermal Stabilization of Shape Memory Alloy Wires," in Smart
Structures and Materials 2003: Modeling, Signal Processing, and Control, R.C. Smith editor, Proc. of SPIE Vol. 5049, 2003.
D. Cox, P. Kloucek and D.R. Reynolds,
"The Computational Modeling of Crystalline Materials Using a Stochastic
Variational Principle," in Lecture Notes in Computer Science 2330: 461-469, 2002.
D. Cox, P. Kloucek and D.R.
Reynolds, "A Subgrid Projection Method for Relaxation of Non-Attainable
Differential Inclusions," in Proceedings: ENUMATH 2001 European Conference on Numerical Mathematics, Springer-Verlag, Berlin, 2002.
J. Hu, C. Ingrassia, S. Lowizsch,
J. Park, A. Pineda, D. Reynolds, N. Valdivia (S.K. Patch, mentor), "Second
Order Solution of Fritz John's Ultrahyperbolic PDE for Volumetric Computed
Tomography," IMA preprint 1752-4,
2001.
M.S. Gockenbach, D.R. Reynolds and
W.W. Symes, "Automatic Differentiation and the Adjoint State Method,"
in Proceedings: Automatic Differentiation 2000: From Simulation to
Optimization, Springer-Verlag, 2001.
Invited
lecture: Center for Applied Scientific Computing, Lawrence Livermore
National Lab, Livermore, CA, 2007
Lecture: Future
Directions for M3D Workshop, Princeton Plasma Physics Lab, Princeton, NJ, 2007
Invited
plenary panel discussion (chair): SIAM Conference on CS&E, Costa Mesa, CA, 2007
Invited
lecture: University of Washington, Dept. of Applied Mathematics, Seattle, WA, 2007
Invited
lecture: University of California at San Diego, Dept. of Mathematics, La Jolla, CA, 2007
Invited
lecture: SIAM Annual Meeting, Boston,
MA, 2006
Invited
lecture: SciDAC Conference, Denver, CO,
2006
Invited
lecture: Numerical Analysis Seminar, Los Alamos National Lab, Los Alamos, NM, 2006
Invited
lecture: SIAM Annual Meeting, New
Orleans, LA, 2005
Lecture: SIAM
Conference on CS&E, Orlando, FL, 2005
Lecture: Center
for Applied Scientific Computing, Lawrence Livermore National Lab, Livermore, CA, 2004
Invited
lecture: SIAM Annual Meeting, Portland,
OR, 2004
Lecture: Copper
Mountain Conference on Iterative Methods,
Copper Mountain, CO, 2004
Invited
lecture: Rice University, Dept. of Computational & Applied Mathematics, Houston, TX, 2004
Invited
lecture: Bay Area Scientific Computing Day, Lawrence Berkeley National Lab, Berkeley, CA, 2004
Poster: SAMSI
Workshop on Multiscale Model Development and Control Design, Research Triangle Park, NC, 2004
Invited
lecture: Theoretical Division, Princeton Plasma Physics Lab, Princeton, NJ, 2003
Invited
lecture: Workshop on Solution Methods for Large-Scale Nonlinear Problems, Livermore, CA, 2003
Lecture: SPIE
Smart Structures and Materials Conference on Modeling, Signal Processing and
Control, San Diego, CA, 2003
Workshop:
Short Course: ƒcoles CEA-EDF-INRIA – Numerical Methods for Atomistic
Simulation, from the Microscale to the Mesoscale, INRIA, Rocquencourt, France, 2001
Lecture: South
East Conference on Applied Mathematics, Center for Research in Scientific
Computation, Raleigh, NC, 2001
Lecture: European
Conference on Numerical Mathematics and Advanced Applications, Ischia Porto, Italy, 2001
Invited
lecture: ƒcole Polytechnique FŽdŽrale de Lausanne - Dept of Mathematics, Lausanne, Switzerland, 2001
Lecture: Texas
PDE Conference, Houston, TX, 2001
Workshop: IMA
Summer Workshop for Graduate Students -- Mathematical Modeling in Industry, Minneapolis, MN, 2000