Publications  ::  Reports  ::  Presentations

Publications
  1. S. M. Guzik, J. Christopher, X. Gao, J. B. Schroder, and R. D. Falgout, On the use of a multigrid-reduction-in-time algorithm for multiscale convergence of turbulent simulations. Computers and Fluids. Submitted. 2021.
  2. J. Christopher, X. Gao, R. D. Falgout, J. B. Schroder, and S. M. Guzik, Applying Time-Parallelization to Turbulent Flows. AIAA. Submitted. 2021.
  3. M Sugiyama, J. B. Schroder, B. S. Southworth, and S. Friedhoff, Weighted Relaxation for Multigrid Reduction in Time. Numerical Linear Algebra with Applications. Submitted. (2021).  PDF
  4. A. Hessenthaler, R. D. Falgout, J. B. Schroder, D. Nordsletten, and O. Roehrle, Time-Periodic Steady-State Solution of Fluid-Structure Interaction and Cardiac Flow Problems through Multigrid-Reduction-in-Time. Computer Methods in Applied Mechanics and Engineering. Accepted. (2021).  PDF
  5. R. D. Falgout, T. A. Manteuffel, B. O'Neill, and J.B. Schroder, Multigrid Reduction in Time with Richardson Extrapolation. Electronic Transactions on Numerical Analysis, pp. 210-233. 54 (2021).  PDF
  6. 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).  PDF
  7. J. Christopher, X. Gao, S. M. Guzik, R. D. Falgout, and J. B. Schroder, A Space-Time Parallel Algorithm with Adaptive Mesh Refinement for Computational Fluid Dynamics. Computing and Visualization in Science, Springer, pp. 1-19. 23 (2020).  PDF
  8. B. W. Ong and J. B. Schroder, Applications of Time Parallelization. Computing and Visualization in Science, Springer, pp. 1-15. 23 (2020).  PDF
  9. A. Hessenthaler, B. S. Southworth, D. Nordsletten, O. Roehrle, R. D. Falgout, and J. B. Schroder, Multilevel Convergence Analysis of Multigrid-Reduction-in-Time. SIAM Journal on Scientific Computing, pp. A771-A796. 42 (2019).   PDF
  10. S. Guenther, L. Ruthotto, J. B. Schroder, E. C. Cyr, and N. R. Gauger, Layer-Parallel Training of Deep Residual Neural Networks. SIAM Journal of Data Science (SIMODS), pp. 1-23. 2 (2020).   PDF
  11. 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).  PDF
  12. S. Guenther, R. D. Falgout, P. Top, C. S. Woodward, and 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).  PDF
  13. A. Nagel, D. Logashenko, J. B. Schroder, and U. M. Yang, Numerical Methods and Solvers for Large Scale Hydrogeological Flow Problems in Porous Media. Transport in Porous Media, Springer, pp. 363-390. 130 (2019).  PDF
  14. 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 Journal on Scientific Computing, pp. 538-565. 41 (2019).  PDF
  15. S. Guenther, 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).  PDF
  16. J. B. Schroder, M. Lecouvez, R. D. Falgout, C. S. Woodward, and P. Top, Parallel-in-Time Solution of Power Systems with Scheduled Events. 2018 Power and Energy Society General Meeting (PESGM), IEEE, pp. 1-5. (2018).  PDF
  17. A. Hessenthaler, D. Nordsletten, O. Roehrle, J. B. Schroder, and R. D. Falgout, Convergence of the Multigrid-Reduction-in-Time Algorithm for the Linear Elasticity Equations. Numerical Linear Algebra with Applications, pp. 1-18. 25 (2018).  PDF
  18. S. Guenther, N. R. Gauger, and J. B. Schroder, A Non-Intrusive Parallel-in-Time Adjoint Solver with the XBraid Library. Computing and Visualization in Science, Springer, pp. 85-95. 19 (2018).  PDF
  19. T. A. Manteuffel, L. N. Olson, J. B. Schroder, and B. S. Southworth, A Root-Node Based Algebraic Multigrid Method. SIAM Journal on Scientific Computing, pp. 723-756. 39 (2017).  PDF
  20. 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 Journal on Scientific Computing, pp. 298-322. 39 (2017).  PDF
  21. V. Dobrev, Tz. Kolev, N. A. Petersson, and J. B. Schroder, Two-level Convergence Theory for Multigrid Reduction in Time (MGRIT). SIAM Journal on Scientific Computing, pp. 501-527. 39 (2017).  PDF
  22. R. D. Falgout, S. Friedhoff, Tz. V. Kolev, S. P. MacLachlan, J. B. Schroder, and S. Vandewalle, Multigrid Methods with Space-Time Concurrency. Computing and Visualization in Science, Springer, pp. 123-143. 18 (2017).  PDF
  23. A. Bienz, R. D. Falgout, W. Gropp, L. N. Olson, and J. B. Schroder, Reducing Parallel Communication in Algebraic Multigrid Through Sparsification. SIAM Journal on Scientific Computing, pp. 332-357. 38 (2016).  PDF
  24. 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.  PDF
  25. C. Ketelsen, T. Manteuffel, and J. B. Schroder, Least-Squares Finite-Element Discretization of the Neutron Transport Equation in Spherical Geometry. SIAM Journal on Scientific Computing, pp. 71-89. 37 (2015).  PDF
  26. R. D. Falgout, S. Friedhoff, Tz. V. Kolev, S. P. MacLachlan, and J. B. Schroder, Parallel Time Integration with Multigrid. SIAM Journal on Scientific Computing, pp. 635-661. 36 (2014).  PDF
  27. R. D. Falgout and J. B. Schroder. Non-Galerkin Coarse Grids for Algebraic Multigrid. SIAM Journal on Scientific Computing, pp. 309-334. 36 (2014).  PDF
  28. J. B. Schroder. Smoothed Aggregation Solvers for Anisotropic Diffusion. Numerical Linear Algebra with Applications, pp. 296-312. 19 (2012).  PDF
  29. L. N. Olson, J. B. Schroder, and R. S. Tuminaro. A General Interpolation Strategy for Algebraic Multigrid Using Energy Minimization. SIAM Journal on Scientific Computing, pp. 966-991. 33 (2011).  PDF
  30. L. N. Olson and J. B. Schroder. Smoothed Aggregation Multigrid Solvers for High-Order Discontinuous Galerkin Methods for Elliptic Problems. Journal of Computational Physics, pp. 6959-6976. 230 (2011).  PDF
  31. L. N. Olson and J. B. Schroder. Smoothed Aggregation for Helmholtz Problems. Numerical Linear Algebra with Applications, pp. 361-386. 17 (2010).  PDF
  32. L. N. Olson, J. B. Schroder, and R. S. Tuminaro. A New Perspective on Strength Measures in Algebraic Multigrid. Numerical Linear Algebra with Applications, pp. 713-733. 17 (2010).  PDF

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Reports
  1. J. Brannick, S. P. MacLachlan, J. B. Schroder, and B. S. Southworth. The Role of Energy Minimization in Algebraic Multigrid Interpolation. (2019).  PDF
  2. N. Abel, J. Chaudhry, R. D. Falgout, and J. B. Schroder, Multigrid-Reduction-in-Time for the Rotating Shallow Water Equations. (2020). LLNL Technical Report LLNL-TR-813511.  PDF
  3. J. B. Schroder, Parallelizing Over Artificial Neural Network Training Runs with Multigrid. (2017). LLNL Technical Report LLNL-JRNL-736173.  PDF
  4. J. B. Schroder, On the Use of Artificial Dissipation for Hyperbolic Problems and Multigrid Reduction in Time (MGRIT). (2018). LLNL Technical Report LLNL-TR-750825.  PDF
  5. 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. Eighteenth Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado. (2017).
  6. R. D. Falgout, T. A. Manteuffel, J. B. Schroder, and B. Southworth, Parallel-in-Time for Moving Meshes. (2016). LLNL Technical Report LLNL-TR-681918.  PDF
  7. R. D. Falgout, A. Katz, Tz. V. Kolev, J. B. Schroder, A. Wissink, and U. M. Yang, Parallel Time Integration with Multigrid Reduction for a Compressible Fluid Dynamics Application. (2014). LLNL Technical Report LLNL-JRNL-663416.  PDF
  8. 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.
  9. L. N. Olson and J. B. Schroder. Components of a More Robust Multilevel Solver for Emerging Architectures and Complex Applications. In SciDAC 2011 (2011).  PDF
  10. J. B. Schroder. Generalizing Smoothed Aggregation-Based Algebraic Multigrid. Ph.D. thesis. University of Illinois at Urbana-Champaign, Department of Computer Science. (2010).  PDF
  11. J. B. Schroder, R. S. Tuminaro, and L. N. Olson, Generalized Strength-of-Connection in Algebraic Multigrid. CSRI Summer Proceedings 2007. pp. 12-26. (2007).
  12. V. E. Howle, J. B. Schroder, and R. S. Tuminaro. The Effect of Boundary Conditions within Pressure-Convection Diffusion Preconditioners. Sandia National Labs Technical Report #2006-4466. July 2006.

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Presentations
  1. Parallel-in-Time with Multigrid: Method, Theory, and Applications, Department of Applied Mathematics, University of Waterloo, December 14th, 2021. Invited Talk.
  2. Multigrid Reduction in Time: Two-Level Convergence Theory with Spatial Coarsening, 10th Parallel-in-time Workshop, Virtual Zoom due to Covid-19, August 2, 2021.
  3. Layer-Parallel Training, Multilevel Network Initialization, and Local Learning, Twenty-first Copper Mountain Conference on Multigrid Methods, Virtual Zoom due to Covid-19, March 29, 2021.
  4. Multigrid-Based Distributed Computing Models for Deep Learning, SIAM Conference on Computational Science and Engineering (CSE21), Virtual Zoom due to Covid-19, March 1, 2021. Minisymposium organizer.
  5. Early Career Panel, SIAM Conference on Computational Science and Engineering (CSE21), Virtual Zoom due to Covid-19. March 2, 2021. Invited speaker.
  6. A General and Scalable Multigrid-Reduction Approach to Parallel-in-Time, Department of Mathematical Sciences, Michigan Tech, Houghton, Michigan. January 22, 2021. Invited colloquium.
  7. The Lake City Algebraic Multigrid Summit, University of Colorado at Boulder, LLNL, UNM. 10/2010, 9/2011, 10/2012, 9/2013, 10/2014, 9/2015, 10/2016, 9/2017, 10/2019, 10/2020.
  8. Parallel-in-Time Training for Deep Residual Neural Networks, 9th Parallel-in-time Workshop, Virtual Zoom due to Covid-19, June 12, 2020.
  9. Layer-Parallel Training and Multilevel Initialization for Deep Residual Neural Networks, 16th Copper Mountain Conference On Iterative Methods, Copper Mountain, Colorado. March 21-26, 2020.
    Abstract accepted, conference canceled due to Covid-19.
  10. Parallel-in-Time with Multigrid: Theory and Applications, Colloquium, Department of Mathematics and Statistics, University of New Mexico. October 24, 2019.
  11. Parallel Multigrid Solvers in Space and Time for Future Architectures, Los Alamos National Laboratory, Math and Physics Division, June 18, 2019. Invited Talk.
  12. Scalable Parallel-in-Time with Multigrid, Bergische University of Wuppertal, Applied Mathematics Group, May 28, 2019. Invited Talk.
  13. Parallel-in-Time and Deep Residual Neural Networks: Layer-Parallelism, Eighth Workshop on Parallel-in-Time Methods: Advanced Parallel-in-Time Algorithms for Computer Simulations in Physical Sciences, Social Sciences and Engineering, Bielefeld, Germany, May 21, 2019.
  14. Layer-Parallel Training of Deep Residual Neural Networks, Nineteenth Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado. March 2019.
  15. Parallel Time Integration, Nineteenth Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado. March 2019. Minisymposium co-organizer.
  16. Parallel-in-Time: A Scalable and Non-Intrusive Approach with Multigrid, Applied Math Seminar, Department of Mathematics and Statistics, University of New Mexico. October 22, 2019.
  17. Parallel Multigrid Solvers for Future Architectures, Sandia National Laboratories, CSRI, Oct. 17, 2018. Invited Talk.
  18. Parallel-in-Time Methods for Highly Concurrent Architectures. DD25, St. Johns, Canada, July 2018. Minisymposium organizer.
  19. Parallel-in-Time Optimization with the General-Purpose XBraid Package. Seventh Workshop on Parallel-in-Time Methods, Roscoff, France, May 3, 2018.
  20. MGRIT for Non-PDE-Based Evolution Processes: Powergrid simulations and neural network training. Fifteenth Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado. March 2018.
  21. Parallel-in-Time: A Scalable and Non-Intrusive Approach with Multigrid Reduction in Time (MGRIT). Department of Mechanical Engineering, Colorado State University, Fort Collins, Colorado. November 14, 2017. Invited colloquium.
  22. Multigrid Reduction in Time for Non-PDE-Based Evolution Processes: Powergrid Simulations and Neural Network Training. Sixth Workshop on Parallel-in-Time Integration, Centro Congressi Stefano Franscini, Ascona, Switzerland. October 2017.
  23. XBraid Tutorial. Sixth Workshop on Parallel-in-Time Integration, Centro Congressi Stefano Franscini, Ascona, Switzerland. October 2017.
  24. XBraid Tutorial. Eighteenth Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado. March 2017.
  25. Parallel Time Integration. Eighteenth Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado. March 2017. Minisymposium co-organizer.
  26. Space-Time Multigrid Methods Minisymposium. SIAM Conference on Computational Science and Engineering (CSE), Atlanta, Georgia. March 2017. Minisymposium co-organizer.
  27. Space-Time Adaptive Meshing with the XBraid Library. Twenty-Fourth International Conference on Domain Decomposition Methods, Svalbard, Norway. February 2017.
  28. Two-level Convergence Theory for Multigrid Reduction in Time (MGRIT). Fifth Workshop on Parallel-in-Time Integration, Banff International Research Station, Canada. November 2016.
  29. Multigrid Reduction in Time: Recent Theoretical Results. Fourteenth Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado. March 22, 2016.
  30. Multigrid Reduction in Time (MGRIT): A Flexible and Scalable Approach to Parallel-in-Time. Monash Workshop on Numerical PDEs, Melbourne, Australia. February 17, 2016. Invited plenary.
  31. Multigrid Reduction in Time (MGRIT): An Overview. Fourth Workshop on Parallel-in-Time Integration, Dresden, Germany. May 27, 2015.
  32. A General Purpose Parallel-in-Time Approach. SIAM Conference on Computational Science and Engineering (CSE), Salt Lake City, Utah. March 18, 2015. Minisymposium organizer.
  33. Multigrid Reduction in Time: A Flexible and Non-Intrusive Method. Third Workshop on Parallel-in-Time Integration, Julich, Germany. May 27, 2014.
  34. Theoretical Advances Regarding Non-Galerkin Coarse-Grid Operators for Algebraic Multigrid. Thirteenth Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado. April 9, 2014.
  35. Non-Galerkin Coarse-Grid Operators for Parallel Algebraic Multigrid. Sixteenth Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado. March 19, 2013.
  36. Energy-Minimization Interpolation for Adaptive Algebraic Multigrid. SIAM Conference on Applied Linear Algebra, Valencia, Spain. June 18-22, 2012.
  37. Non-Galerkin Coarse-Grid Operators for Parallel Algebraic Multigrid. Twelfth Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado. March 27, 2012.
  38. PyAMG Tutorial. Twelfth Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado. March 28, 2012.
  39. A General Energy-Minimization Strategy for Interpolation in Algebraic Multigrid. Seventh International Congress on Industrial and Applied Mathematics, Vancouver, Canada. July 21, 2011.
  40. PyAMG Tutorial. Fifteenth Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado. March 31, 2011.
  41. Smoothed Aggregation Solvers for Anisotropic Diffusion. Fifteenth Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado. March 28, 2011.
  42. Generalizing Smoothed Aggregation-Based Algebraic Multigrid. Tech-X Corporation, Boulder, Colorado. July 29, 2010.
  43. A General Interpolation Strategy for Algebraic Multigrid Using Energy Minimization. Eleventh Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado. April 5, 2010.
  44. Smoothed Aggregation Multigrid for Helmholtz Problems. Fourteenth Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado. March 23, 2009.
  45. A General Strength-of-Connection Concept in AMG. Tenth Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado. April 7, 2008.
  46. Stability and Load Balancing in a NASA Global Circulation Model. Southeast ACM Conference, Gatlinburg, Tennessee. November 22, 2003.

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