Skip to content

Project Publications

Jump to bottom
Jacob edited this page May 14, 2021 · 63 revisions

Go To Tutorials
Go To Technical Reports

Peer-Reviewed Publications

  1. A. Hessenthaler, R. D. Falgout, J. B. Schroder, Adelaide de Vecchi, D. Nordsletten, and O. Rohrle, Time-periodic steady-state solution of fluid-structure interaction and cardiac flow problems through multigrid-reduction-in-time, Arxiv preprint, (submitted) (2021). }

  2. B. S. Southworth, W. Mitchell, A. Hessenthaler, F. Danieli, Tight two-level convergence of Linear Parareal and MGRIT: Extensions and implications in practice, Arxiv preprint, (submitted) (2020).

  3. H. De Sterck, R. D. Falgout, S. Friedhoff, O. A. Krzysik, and S. P. MacLachlan, Optimizing MGRIT and Parareal coarse-grid operators for linear advection, Arxiv preprint, (submitted) (2020). LLNL-JRNL-789101.

  4. O. A. Krzysik, H. De Sterck, S. P. MacLachlan, and S. Friedhoff, On selecting coarse-grid operators for Parareal and MGRIT applied to linear advection, Arxiv preprint, (submitted) (2019).

  5. S. Friedhoff, and B. S. Southworth, On "Optimal" h-Independent Convergence of Parareal and MGRIT using Runge-Kutta Time Integration, Numer. Linear Algebra Appl., e2301. 28 (2020).

  6. R.D. Falgout, T. A. Manteuffel, B. O'Neill, and J.B. Schroder, Multigrid Reduction in Time with Richardson Extrapolation. ETNA, pp. 210-233. 54 (2021).

  7. E. C. Cyr, S. Guenther, and J. B. Schroder, Multilevel Initialization for Layer-Parallel Deep Neural Network Training, International Journal of Computing and Visualization in Science and Engineering, pp. 1-9. 1 (2021).

  8. M. Bolten, S. Friedhoff, J. Hahne, S. Schöps, Parallel-in-Time Simulation of an Electrical Machine using MGRIT, Computing and Visualization in Science, pp. 1-14. 23 (2020).

  9. J. Christopher, X. Gao, S. M. Guzik, R. D. Falgout, and J. B. Schroder, Fully Parallelized Space-Time Adaptive Meshes for the Compressible Navier-Stokes Equations Using Multigrid Reduction in Time, Comput. Vis. Science, Springer, pp. 1-19. 23 (2020).

  10. H. De Sterck, S. Friedhoff, A. J. Howse, and S. P. MacLachlan. Convergence analysis for parallel‐in‐time solution of hyperbolic systems. Numer. Linear Algebra Appl., e2271, 27 (2020).

  11. A. Hessenthaler, B. S. Southworth, D. Nordsletten, O. Rohrle, R. D. Falgout, and J. B. Schroder, Multilevel convergence analysis of multigrid-reduction-in-time, SIAM J. Sci. Comput, pp. A771-A796. 42 (2020).

  12. S. Friedhoff, J. Hahne, S. Schops, Multigrid-reduction-in-time for Eddy Current problems, PAMM, pp. 1-2, 19 (2019).

  13. S. Guenther, R. D. Falgout, P. Top, C. S. Woodward, J. B. Schroder, Parallel-in-Time Solution of Power Systems with Unscheduled Events, 2019 Power and Energy Society General Meeting (PESGM), IEEE, pp. 1-5. (2019).

  14. J. Christopher, X. Gao, S. Guzik, R. D. Falgout, and J. B. Schroder, Parallel In Time for a Fully Space-Time Adaptive Mesh Refinement Algorithm. AIAA SciTech Forum, pp. 1-10. (Jan, 2020).

  15. S. Gunther, L. Ruthotto, J. B. Schroder, E. C. Cyr, and N. R. Gauger, Layer-Parallel Training of Deep Residual Neural Network, SIAM J. Math Data Science. pp. 1-23. 2 (2020).

  16. B. S. Southworth, Necessary conditions and tight two-level convergence bounds for parareal and multigrid reduction in time, SIAM J. Matrix Anal., pp. 564-608. 40 (2019).

  17. R. D. Falgout, M. Lecouvez, and C. S. Woodward, A Parallel-in-Time Algorithm for Variable Step Multistep Methods, Journal of Computational Science, 37 (2019), pp. 101-029. LLNL-JRNL-739759

  18. H. De Sterck, R. D. Falgout, A. J. M Howse, S. P. MacLachlan, and J. B. Schroder, Parallel-in-Time Multigrid with Adaptive Spatial Coarsening for the Linear Advection and Inviscid Burgers Equations, SIAM J. Sci. Comput, 41 (2019), pp. A538-A565. Supplementary Materials. LLNL-JRNL-737050.

  19. S. Gunther, N. R. Gauger, and J. B. Schroder, A Non-Intrusive Parallel-in-Time Approach for Simultaneous Optimization with Unsteady PDEs, Optimization Methods and Software, pp.1-16, (2018). LLNL-JRNL-744565.

  20. J. B. Schroder, M. Lecouvez, R. D. Falgout, C. S. Woodward, P. Top, Parallel-in-Time Solution of Power Systems with Scheduled Events, 2018 Power and Energy Society General Meeting (PESGM), IEEE, (2018). LLNL-CONF-740658.

  21. S. Gunther, N. R. Gauger, and J. B. Schroder, A Non-Intrusive Parallel-in-Time Adjoint Solver with the XBraid Library, Comput. Vis. Science, Springer, (2018). LLNL-JRNL-730159.

  22. A. Hessenthaler, D. Nordsletten, O. Roehrle, J. B. Schroder, R. D. Falgout, Convergence of the Multigrid-Reduction-in-Time Algorithm for the Linear Elasticity Equations, Numer. Linear Algebra Appl., pp. 1-18. 25 (2017). LLNL-JRNL-731168.

  23. A. J. M. Howse (in collaboration with H. De Sterck, R. D. Falgout, S. P. Machlachlan, and J. B. Schroder), Multigrid Reduction in Time with Adaptive Spatial Coarsening for the Linear Advection Equation, Student Paper Winner, 18th Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado. March, 2017. LLNL-PROC-716758

  24. R. D. Falgout, T. A. Manteuffel, B. O’Neill, and J. B. Schroder, Multigrid reduction in time for nonlinear parabolic problems: A Case Study, SIAM J. Sci. Comput., 39 (2017), pp 298-322. LLNL-JRNL-692258.

  25. V. Dobrev, Tz. Kolev, N. A. Petersson, and J. B. Schroder, Two-level convergence theory for Multigrid Reduction in Time (MGRIT), SIAM J. Sci. Comput., 39 (2017), pp. 501-527. LLNL-JRNL-692418.

  26. R.D. Falgout, S. Friedhoff, Tz.V. Kolev, S.P. MacLachlan, J.B. Schroder and S. Vandewalle, Multigrid Methods with Space-Time Concurrency, Comput. Vis. Science, Springer, (2017). LLNL-JRNL-678572.

  27. H. Gahvari, V. A. Dobrev, R. D. Falgout, Tz. V. Kolev, J. B. Schroder, M. Schulz and U. M. Yang, A Performance Model for Allocating the Parallelism in a Multigrid-in-Time Solver, The 7th International Workshop on Performance Modeling, Benchmarking and Simulation of High Performance Computer Systems (PMBS16), Supercomputing 16. LLNL-CONF-701995.

  28. M. Lecouvez, R. D. Falgout, C. S. Woodward, and P. Top, A parallel multigrid reduction in time method for power systems, in Power and Energy Society General Meeting (PESGM), 2016, IEEE, 2016, pp. 1–5. LNL-CONF-679148

  29. R. D. Falgout, S. Friedhoff, Tz. V. Kolev, S. P. MacLachlan, and J. B. Schroder, Parallel Time Integration with Multigrid, SIAM J. Sci. Comput., 36 (2014), pp.C635-C661. LLNL-JRNL-645325.

  30. S. Friedhoff, R. Falgout, T. Kolev, S. MacLachlan, and J. Schroder, A Multigrid-in-Time Algorithm for Solving Evolution Equations in Parallel, Student paper winner, Sixteenth Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado. March, 2013. LLNL-CONF-606952.

Technical Reports

  1. N. Abel, J. Chaudhry, R. D. Falgout, J. B. Schroder, Multigrid-Reduction-in-Time for the Rotating Shallow Water Equations, 2020, LLNL Technical Report, LLNL-TR-813511.

  2. J.B Schroder, On the Use of Artificial Dissipation for Hyperbolic Problems and Multigrid Reduction in Time (MGRIT), 2018, Technical Report, LLNL-TR-750825.

  3. J. B. Schroder, Parallelizing Over Artificial Neural Network Training Runs with Multigrid, arXiv preprint arXiv:1708.02276, (2017). LLNL-JRNL-736173.

  4. R.D. Falgout, T.A. Manteuffel, J.B. Schroder, B. Southworth, Parallel-in-time for moving meshes, Technical Report, 2016, LLNL-TR-681918.

  5. R. D. Falgout, A. Katz, Tz. V. Kolev, J. B. Schroder, A. Wissink, U. M. Yang, Parallel Time Integration with Multigrid Reduction for a Compressible Fluid Dynamics Application, Technical Report, 2014, LLNL-JRNL-663416.

Tutotrials

  1. J. Schroder and R. Falgout, XBraid Tutorial, 18th Copper Mountain Conference on Multigrid Methods, March, 2017, Copper Mountain, Colorado.

  2. J. Schroder and R. Falgout, XBraid Tutorial, 6th Conference on Parallel-in-Time Integration, October, 2017, Ascona, Switzerland.

Clone this wiki locally