David James Gardner profile

David James Gardner

Computational Scientist

COMP / CASC DIV / Center for Applied Scientific Computing Division

Email

Biography

Dr. David Gardner is a computational scientist in the Scientific Computing group within the Center for Applied Scientific Computing (CASC) at Lawrence Livermore National Laboratory (LLNL). His work focuses on the development, implementation, and deployment of accurate and efficient numerical methods for simulating multiscale, multiphysics applications on high performance computing systems. He is a core developer of the SUNDIALS software library of time integrators and nonlinear solvers.

Currently he works on the Energy Research and Forecasting (ERF) model for accelerated atmospheric simulations, multirate time integration methods for fusion plasmas in the CETOP SciDAC partnership, adaptive time integration methods for non-equilibrium quantum systems in the Death Valley SciDAC partnership, and is developing new time integration and nonlinear solver capabilities in SUNDIALS as part of the FASTMath SciDAC Institute. In prior projects Dr. Gardner has worked with application codes in combustion, cosmology, additive manufacturing, power systems, climate, and materials science.

Dr. Gardner joined CASC in July 2014 as a postdoctoral researcher after completing his Ph.D. in Computational and Applied Mathematics at Southern Methodist University (SMU).

ORCID: 0000-0002-7993-8282
ResearcherID: T-4094-2017
Scopus Author ID: 56494048400

Education

  • Ph.D., Computational and Applied Mathematics, Southern Methodist University, Dallas, Texas
  • M.S., Computational and Applied Mathematics, Southern Methodist University, Dallas, Texas
  • B.S., Mathematics, Southern Methodist University, Dallas, Texas
  • A.S., Mathematics, Brookhaven College, Dallas, Texas

Publications

2036 1 publication

  • C. S. Woodward, D. J. Gardner, and K. J. Evans, "On the use of finite difference matrix-vector products in newton-krylov solvers for implicit climate dynamics with spectral elements," Procedia Computer Science, vol. 51, pp. 2036-2045, 2015. doi: 10.1016/j.procs.2015.05.468

2026 1 publication

  • B. C. Blakeley, R. S. Arthur, A. M. Lattanzi, et al., “Real time simulations of nuclear cloud rise with the Energy Research and Forecasting model,” International Journal of High Performance Computing Applications, 2026. doi: 10.1177/10943420261463721

2025 2 publications

  • J. Yao, I. Maliyov, D. J. Gardner, C. S. Woodward, and M. Bernardi, "Advancing simulations of coupled electron and phonon nonequilibrium dynamics using adaptive and multirate time integration," npj Computational Materials, vol. 11, no. 1, p. 256, 2025. doi: 10.1038/s41524-025-01738-8
  • C. J. Balos, M. Day, L. Esclapez, et al., “SUNDIALS time integrators for exascale applications with many independent systems of ordinary differential equations,” The International Journal of High Performance Computing Applications, vol. 39, no. 1, pp. 123–146, 2025. doi: 10.1177/10943420241280060

2024 2 publications

  • T. Blommel, D. J. Gardner, C. S. Woodward, and E. Gull, "Adaptive time stepping for the two-time integro-differential Kadanoff-Baym equations," Physical Review B, vol. 110, no. 20, p. 205 134, 2024. doi: 10.1103/PhysRevB.110.205134
  • J. Loffeld, A. Nonaka, D. R. Reynolds, D. J. Gardner, and C. S. Woodward, "Performance of explicit and IMEX MRI multirate methods on complex reactive flow problems within modern parallel adaptive structured grid frameworks," The International Journal of High Performance Computing Applications, 2024. doi: 10.1177/10943420241227914

2023 2 publications

  • C. J. Balos, S. Roberts, and D. J. Gardner, "Leveraging mixed precision in exponential time integration methods," in 2023 IEEE High Performance Extreme Computing Conference (HPEC), IEEE, 2023, pp. 1-8. doi: 10.1109/HPEC58863.2023.10363489, Outstanding Paper Award Recipient
  • D. R. Reynolds, D. J. Gardner, C. S. Woodward, and R. Chinomona, "ARKODE: A flexible IVP solver infrastructure for one-step methods," ACM Transactions on Mathematical Software, vol. 49, no. 2, Jun. 2023. doi: 10.1145/3594632

2022 2 publications

  • D. J. Gardner, D. R. Reynolds, C. S. Woodward, and C. J. Balos, "Enabling New Flexibility in the SUNDIALS Suite of Nonlinear and Differential/Algebraic Equation Solvers," ACM Transactions on Mathematical Software, vol. 48, no. 3, Sep. 2022, issn: 0098-3500. doi: 10.1145/3539801
  • S. Lockhart, D. J. Gardner, C. S. Woodward, S. Thomas, and L. N. Olson, "Performance of low synchronization orthogonalization methods in Anderson accelerated fixed point solvers," in Proceedings of the 2022 SIAM Conference on Parallel Processing for Scientific Computing, SIAM, 2022, pp. 49-59. doi: 10.1137/1.9781611977141.5

2021 1 publication

  • C. J. Balos, D. J. Gardner, C. S. Woodward, and D. R. Reynolds, "Enabling GPU accelerated computing in the SUNDIALS time integration library," Parallel Computing, vol. 108, p. 102 836, 2021, issn: 0167-8191. doi: 10.1016/j.parco.2021.102836

2020 1 publication

  • H. Wan, C. S. Woodward, S. Zhang, et al., "Improving time step convergence in an atmosphere model with simplified physics: The impacts of closure assumption and process coupling," Journal of Advances in Modeling Earth Systems, vol. 12, no. 10, e2019MS001982, 2020. doi: 10.1029/2019MS001982

2019 2 publications

  • I. Karlin, Y. Park, B. R. de Supinski, et al., "Preparation and optimization of a diverse workload for a large-scale heterogeneous system," in Proceedings of the International Conference for High Performance Computing, Networking, Storage, and Analysis, ser. SC '19, 2019, pp. 1-17. doi: 10.1145/3295500.3356192
  • K. J. Evans, R. K. Archibald, D. J. Gardner, et al., "Performance analysis of fully explicit and fully implicit solvers within a spectral element shallow-water atmosphere model," The International Journal of High Performance Computing Applications, vol. 33, no. 2, pp. 268-284, 2019. doi: 10.1177/1094342017736373

2018 1 publication

  • D. J. Gardner, J. E. Guerra, F. P. Hamon, et al., "Implicit-explicit (IMEX) Runge-Kutta methods for non-hydrostatic atmospheric models," Geoscientific Model Development, vol. 11, no. 4, pp. 1497-1515, 2018. doi: 10.5194/gmd-11-1497-2018

2017 1 publication

  • D. J. Gardner and D. R. Reynolds, "Filters for improvement of multiscale data from atomistic simulations," Multiscale Modeling & Simulation, vol. 15, no. 1, pp. 1-28, 2017. doi: 10.1137/15M1053785

2015 1 publication

  • D. J. Gardner, C. S. Woodward, D. R. Reynolds, et al., "Implicit integration methods for dislocation dynamics," Modelling and Simulation in Materials Science and Engineering, vol. 23, no. 2, p. 025 006, 2015. doi: 10.1088/0965-0393/23/2/025006

Awards

Additional info

Invited Presentations

  1. D. J. Gardner, J. Yao, I. Maliyov, C. S. Woodward, D. R. Reynolds, and M. Bernardi, “Accelerating real-time Boltzmann transport simulations with adaptive multirate methods,” International Conference on Scientific Computation and Differential Equations, Edinburgh, Jun. 2026
  2. D. J. Gardner, P. Kumar, and A. Nonaka, "Multirate methods in microelectronics simulations," SIAM Conference on Computational Science and Engineering, Ft. Worth, TX, Mar. 2025
  3. D. J. Gardner, C. J. Balos, D. R. Reynolds, S. B. Roberts, and C. S. Woodward, "An overview of SUNDIALS deployment in scientific application codes," SIAM Northern and Central California Sectional Conference, Merced, CA, Oct. 2024
  4. D. J. Gardner, T. Blommel, E. Gull, and C. S. Woodward, "Adaptive methods for the two-time Kadanoff-Baym equations," International Conference on Scientific Computation and Differential Equations, Singapore, Jul. 2024
  5. D. J. Gardner, "Linear solver interfaces and uses in sundials," Workshop on the design and standardization of Basic and Advanced Sparse Linear Algebra Routines, University of Tennessee, Knoxville, Nov. 2023
  6. D. J. Gardner, C. J. Balos, D. R. Reynolds, and C. S. Woodward, "Towards the use of Anderson acceleration in coupled transport-gyrokinetic turbulence simulations," SIAM Conference on Computational Science and Engineering, Amsterdam, The Netherlands, Feb. 2023
  7. D. J. Gardner, C. J. Balos, D. R. Reynolds, and C. S. Woodward, "GPU support in SUNDIALS time integrators and nonlinear solvers," SIAM Conference on Parallel Processing for Scientific Computing, Virtual, Feb. 2022
  8. D. J. Gardner, H. H. Schwartz, C. S. Woodward, and L. L. LoDestro, "Towards the use of Anderson acceleration in coupled transport - gyrokinetic turbulence simulations," SIAM Conference on Applied Linear Algebra, Virtual, Feb. 2021
  9. D. J. Gardner, D. R. Reynolds, R. Chinomona, C. J. Balos, and C. S. Woodward, "Multirate time integrators in SUNDIALS," SIAM Conference on Computational Science and Engineering, Virtual, Feb. 2021
  10. D. J. Gardner, R. Chinomona, and C. S. Woodward, "Multirate time integration methods for atmospheric microphysics (poster)," AGU Fall Meeting, Virtual, 2020
  11. D. J. Gardner, R. D. Falgout, D. R. Reynolds, and C. S. Woodward, "Parallel in time with SUNDIALS and XBraid," SIAM Conference on Parallel Processing for Scientific Computing, Seattle, WA, Feb. 2020
  12. D. J. Gardner, C. S. Woodward, D. R. Reynolds, A. C. Hindmarsh, and C. J. Balos, "Multirate Integrators in SUNDIALS," International Conference on Scientific Computation and Differential Equations, University of Innsbruck, Innsbruck, Austria, July 22 – 26, 2019.
  13. D. J. Gardner, P. Rasch, P. Stinis, C. J. Vogl, H. Wan, C. S. Woodward, S. Zhang, "Assessing and Improving the Numerical Solution of Atmospheric Physics in E3SM," SIAM Conference on Mathematical & Computational Issues in the Geosciences, Houston, TX, March 11 – 14, 2019.
  14. D. J. Gardner, C. S. Woodward, D. R. Reynolds, A. C. Hindmarsh, S. Peles, and C. J. Balos, The SUNDIALS Suite of Time Integrators and Nonlinear Solvers: Preparing for Exascale Computing, SIAM Conference on Computational Science and Engineering, Spokane, WA, Feburary 25 – March 1, 2019.
  15. D. J. Gardner, C. S. Woodward, H. Wan, C. J. Vogl, and P. Rasch, Assessing and Improving the Numerical Solution of Atmospheric Physics in E3SM, SIAM Conference on the Mathematics of Planted Earth, Philadelphia, PA, September 13 – 15, 2018.
  16. D. J. Gardner, C. S. Woodward, D. R. Reynolds, A. C. Hindmarsh, S. Peles, J. Loffeld, and C. J. Balos, The SUNDIALS Suite of Time Integrators and Nonlinear Solvers, Bout++ Workshop, Livermore, CA, August 14 – 17, 2018.
  17. D. J. Gardner, C. S. Woodward, D. R. Reynolds, A. C. Hindmarsh, and S. Peles, SUNDIALS Suite of Time Integrators and Nonlinear Solvers (poster), SIAM Annual Meeting, Portland, OR, July 9 – 13, 2018.
  18. D. J. Gardner, J. E. Guerra, F. P. Hamon, D. R. Reynolds, P. A. Ullrich, and C. S. Woodward, Implicit-Explicit Time Integration Methods for Non-hydrostatic Atmospheric Models, IMAGe 2017 Theme of the Year: Workshop on Multiscale Geoscience Numerics, NCAR Mesa Lab, Boulder, CO, May 16 – 19, 2017.
  19. D. J. Gardner, J. E. Guerra, F. P. Hamon, D. R. Reynolds, P. A. Ullrich, and C. S. Woodward, Implicit-Explicit Time Integration Methods for Non-hydrostatic Atmospheric Models, SIAM Conference on Mathematics of Planet Earth, Philadelphia, PA, September 30 – October 2, 2016.
  20. D. J. Gardner, C. S. Woodward, P. M. Caldwell, and K. J. Evans, Advanced Time Integration Methods for Atmospheric Physics (poster), AXICCS Workshop, Rockville, MD, September 12 – 13, 2016.
  21. D. J. Gardner, R. Archibald, K. J. Evans, P. A. Ullrich, C. S. Woodward, and P. H. Worley, Scalable Nonlinear Solvers and Preconditioners in Climate Applications, SIAM Conference on Parallel Processing for Scientific Computing, Paris, France, April 12 – 15, 2016.
  22. D. J. Gardner, C. S. Woodward, D. R. Reynolds, K. Mohror, G. Hommes, S. Aubry, M. Rhee, and A. Arsenlis, Implicit Integration Methods for Dislocation Dynamics, Numerical Methods for Large-Scale Nonlinear Problems and Their Applications, ICERM, Providence, RI, August 31 – September 4, 2015.
  23. D. J. Gardner, P. M. Caldwell, J. M. Sexton, and C. S. Woodward, Numerical Errors in Coupling Micro and Macrophysics in the Community Atmosphere Model, SIAM Conference on Mathematical and Computational Issues in the Geosciences, Stanford University, Stanford, CA, June 29 – July 2, 2015.
  24. D. J. Gardner, K. J. Evans, P. A. Lott, A. Salinger, and C. S. Woodward, Preconditioners for Implicit Atmospheric Climate Simulations in the Community Atmosphere Model, SIAM Conference on Computational Science and Engineering, Salt Lake City, UT, March 14 – 18, 2015.

Presentations

  1. C. S. Woodward, C. J. Balos, D. J. Gardner, and D. R. Reynolds, “Overview and use of new features in the sundials suite of nonlinear and differential/algebraic equation solvers,” Exascale Computing Project (ECP) Annual Meeting, virtual, May 2022
  2. D. J. Gardner, H. H. Schwartz, L. L. LoDestro, and C. S. Woodward, “Anderson acceleration in tango with kinsol,” Partnership for Multiscale Gyrokinetic (MGK) Turbulence Project Meeting 2020, Virtual, Aug. 2020
  3. D. J. Gardner, C. J. Balos, D. R. Reynolds, and C. S. Woodward, “SUNDIALS: New features and capabilities,” Center for Efficient Exascale Discretizations (CEED) Annual Meeting, Virtual, Aug. 2020
  4. C. S. Woodward, D. J. Gardner, and C. J. Balos, “SUNDIALS: New features, methods, and capa- bilities,” CASC WIP Seminar, Virtual, Aug. 2020
  5. D. J. Gardner, R. D. Falgout, D. R. Reynolds, and C. S. Woodward, “Parallel in time with SUNDIALS and XBraid,” PinT 2020: 9th Workshop on Parallel-in-Time Integration, Virtual, Jun. 2020
  6. C. S. Woodward, D. R. Reynolds, D. J. Gardner, and C. J. Balos, “Introduction to the capabilities and use of the SUNDIALS suite of nonlinear and differential/algebraic equation solvers,” Exascale Computing Project (ECP) Annual Meeting, Houston, TX, Feb. 2020
  7. D. J. Gardner, C. S. Woodward, D. R. Reynolds, A. C. Hindmarsh, and C. J. Balos, The SUNDIALS Suite of Nonlinear and Differential / Algebraic Equation Solvers (poster), International Congress on Industrial and Applied Mathematics, Valencia, Spain, July 15 – 19, 2019.
  8. D. J. Gardner and D.R. Reynolds, Improving the Computational Efficiency of Multiscale Simulations with Filtering, SIAM Conference on Computational Science and Engineering, Atlanta, GA, February 27 – March 3, 2017.
  9. D. J. Gardner, J. E. Guerra, F. P. Hamon, D. R. Reynolds, P. A. Ullrich, and C. S. Woodward, Implicit-Explicit Time Integration Methods for Non-hydrostatic Atmospheric Models (poster), AGU Fall Meeting, San Francisco, CA, December 12 – 16, 2016.
  10. D. J. Gardner and D. R. Reynolds, Filters for the Improvement of Multiscale Data from Atomistic Simulations, SIAM Annual Meeting, Boston, MA, July 11 – 15, 2016.
  11. D. J. Gardner, P. M. Caldwell, and C. S. Woodward, Advanced Time Integration Methods for Atmospheric Physics (poster), SIAM Annual Meeting, Boston, MA, July 11 – 15, 2016.
  12. D. J. Gardner and D. R. Reynolds, Filters for the Improvement of Multiscale Data from Atomistic Simulations (poster), SIAM Conference on Parallel Processing for Scientific Computing, Paris, France, April 12 – 15, 2016.
  13. D. J. Gardner, R. Archibald, K. J. Evans, and C. S. Woodward, Implicit Time Stepping and Preconditioning for Global Atmospheric Dynamics in Climate Simulation, Fourteenth Copper Mountain Conference on Iterative Methods, Copper Mountain, CO, March 20 – 25, 2016.
  14. D. J. Gardner, K. J. Evans, C. S. Woodward, R. Archibald, and P. H. Worley, Implicit Time Stepping and Preconditioning for Atmospheric Dynamics in the Community Atmosphere Model (poster), AGU Fall Meeting, San Francisco, CA, December 14 – 18, 2015.
  15. C. S. Woodward, D. R. Reynolds, A. C. Hindmarsh, L. E. Banks, and D. J. Gardner, SUNDIALS: Suite of Nonlinear and Differential / Algebraic equation solvers (poster), 2015 Scientific Discovery through Advanced Computing (SciDAC-3) Principal Investigator Meeting, Bethesda, MD, July 22 – 24, 2015.
  16. D. J. Gardner, P. M. Caldwell, J. M. Sexton, and C. S. Woodward, Numerical Errors in Coupling Micro- and Macrophysics in the Community Atmosphere Model (poster), AGU Fall Meeting, San Francisco, CA, December 15 – 19, 2014.