Publications :: Reports :: Presentations
Publications S. M. Guzik, J. Christopher, X. Gao, J. B. Schroder, and R. D. Falgout, On the use of a multigridreductionintime algorithm for multiscale convergence of turbulent simulations. Computers and Fluids. Submitted. 2021.
 J. Christopher, X. Gao, R. D. Falgout, J. B. Schroder, and S. M. Guzik, Applying TimeParallelization to Turbulent Flows. AIAA. Submitted. 2021.
 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
 A. Hessenthaler, R. D. Falgout, J. B. Schroder, D. Nordsletten, and O. Roehrle, TimePeriodic SteadyState Solution of FluidStructure Interaction and Cardiac Flow Problems through MultigridReductioninTime. Computer Methods in Applied Mechanics and Engineering. Accepted. (2021). PDF
 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. 210233. 54 (2021). PDF
 E. C. Cyr, S. Guenther, and J. B. Schroder, Multilevel Initialization for LayerParallel Deep Neural Network Training. International Journal of Computing and Visualization in Science and Engineering, pp. 19. 1 (2021). PDF
 J. Christopher, X. Gao, S. M. Guzik, R. D. Falgout, and J. B. Schroder, A SpaceTime Parallel Algorithm with Adaptive Mesh Refinement for Computational Fluid Dynamics. Computing and Visualization in Science, Springer, pp. 119. 23 (2020). PDF
 B. W. Ong and J. B. Schroder, Applications of Time Parallelization. Computing and Visualization in Science, Springer, pp. 115. 23 (2020). PDF
 A. Hessenthaler, B. S. Southworth, D. Nordsletten, O. Roehrle, R. D. Falgout, and J. B. Schroder, Multilevel Convergence Analysis of MultigridReductioninTime. SIAM Journal on Scientific Computing, pp. A771A796. 42 (2019). PDF
 S. Guenther, L. Ruthotto, J. B. Schroder, E. C. Cyr, and N. R. Gauger, LayerParallel Training of Deep Residual Neural Networks. SIAM Journal of Data Science (SIMODS), pp. 123. 2 (2020). PDF
 J. Christopher, X. Gao, S. Guzik, R. D. Falgout, and J. B. Schroder, Parallel In Time for a Fully SpaceTime Adaptive Mesh Refinement Algorithm. AIAA SciTech Forum, pp. 110. (Jan, 2020). PDF
 S. Guenther, R. D. Falgout, P. Top, C. S. Woodward, and J. B. Schroder, ParallelinTime Solution of Power Systems with Unscheduled Events. 2019 Power and Energy Society General Meeting (PESGM), IEEE, pp. 15. (2019). PDF
 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. 363390. 130 (2019). PDF
 H. De Sterck, R. D. Falgout, A. J. M. Howse, S. P. MacLachlan, and J. B. Schroder, ParallelinTime Multigrid with Adaptive Spatial Coarsening for the Linear Advection and Inviscid Burgers Equations. SIAM Journal on Scientific Computing, pp. 538565. 41 (2019). PDF
 S. Guenther, N. R. Gauger, and J. B. Schroder, A NonIntrusive ParallelinTime Approach for Simultaneous Optimization with Unsteady PDEs. Optimization Methods and Software, pp. 116. (2018). PDF
 J. B. Schroder, M. Lecouvez, R. D. Falgout, C. S. Woodward, and P. Top, ParallelinTime Solution of Power Systems with Scheduled Events. 2018 Power and Energy Society General Meeting (PESGM), IEEE, pp. 15. (2018). PDF
 A. Hessenthaler, D. Nordsletten, O. Roehrle, J. B. Schroder, and R. D. Falgout, Convergence of the MultigridReductioninTime Algorithm for the Linear Elasticity Equations. Numerical Linear Algebra with Applications, pp. 118. 25 (2018). PDF
 S. Guenther, N. R. Gauger, and J. B. Schroder, A NonIntrusive ParallelinTime Adjoint Solver with the XBraid Library. Computing and Visualization in Science, Springer, pp. 8595. 19 (2018). PDF
 T. A. Manteuffel, L. N. Olson, J. B. Schroder, and B. S. Southworth, A RootNode Based Algebraic Multigrid Method. SIAM Journal on Scientific Computing, pp. 723756. 39 (2017). PDF
 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. 298322. 39 (2017). PDF
 V. Dobrev, Tz. Kolev, N. A. Petersson, and J. B. Schroder, Twolevel Convergence Theory for Multigrid Reduction in Time (MGRIT). SIAM Journal on Scientific Computing, pp. 501527. 39 (2017). PDF
 R. D. Falgout, S. Friedhoff, Tz. V. Kolev, S. P. MacLachlan, J. B. Schroder, and S. Vandewalle, Multigrid Methods with SpaceTime Concurrency. Computing and Visualization in Science, Springer, pp. 123143. 18 (2017). PDF
 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. 332357. 38 (2016). PDF
 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 MultigridinTime Solver. The 7th International Workshop on Performance Modeling, Benchmarking and Simulation of High Performance Computer Systems (PMBS16), Supercomputing 16. PDF
 C. Ketelsen, T. Manteuffel, and J. B. Schroder, LeastSquares FiniteElement Discretization of the Neutron Transport Equation in Spherical Geometry. SIAM Journal on Scientific Computing, pp. 7189. 37 (2015). PDF
 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. 635661. 36 (2014). PDF
 R. D. Falgout and J. B. Schroder. NonGalerkin Coarse Grids for Algebraic Multigrid. SIAM Journal on Scientific Computing, pp. 309334. 36 (2014). PDF
 J. B. Schroder. Smoothed Aggregation Solvers for Anisotropic Diffusion. Numerical Linear Algebra with Applications, pp. 296312. 19 (2012). PDF
 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. 966991. 33 (2011). PDF
 L. N. Olson and J. B. Schroder. Smoothed Aggregation Multigrid Solvers for HighOrder Discontinuous Galerkin Methods for Elliptic Problems. Journal of Computational Physics, pp. 69596976. 230 (2011). PDF
 L. N. Olson and J. B. Schroder. Smoothed Aggregation for Helmholtz Problems. Numerical Linear Algebra with Applications, pp. 361386. 17 (2010). PDF
 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. 713733. 17 (2010). PDF
Reports
 J. Brannick, S. P. MacLachlan, J. B. Schroder, and B. S. Southworth. The Role of Energy Minimization in Algebraic Multigrid Interpolation. (2019). PDF
 N. Abel, J. Chaudhry, R. D. Falgout, and J. B. Schroder, MultigridReductioninTime for the Rotating Shallow Water Equations. (2020). LLNL Technical Report LLNLTR813511. PDF
 J. B. Schroder, Parallelizing Over Artificial Neural Network Training Runs with Multigrid. (2017). LLNL Technical Report LLNLJRNL736173. PDF
 J. B. Schroder, On the Use of Artificial Dissipation for Hyperbolic Problems and Multigrid Reduction in Time (MGRIT). (2018). LLNL Technical Report LLNLTR750825. PDF
 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).
 R. D. Falgout, T. A. Manteuffel, J. B. Schroder, and B. Southworth, ParallelinTime for Moving Meshes. (2016). LLNL Technical Report LLNLTR681918. PDF
 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 LLNLJRNL663416. PDF
 S. Friedhoff, R. Falgout, T. Kolev, S. MacLachlan, and J. Schroder. A MultigridInTime Algorithm for Solving Evolution Equations in Parallel. Student paper winner. Sixteenth Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado. March, 2013.
 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
 J. B. Schroder. Generalizing Smoothed AggregationBased Algebraic Multigrid. Ph.D. thesis. University of Illinois at UrbanaChampaign, Department of Computer Science. (2010). PDF
 J. B. Schroder, R. S. Tuminaro, and L. N. Olson, Generalized StrengthofConnection in Algebraic Multigrid. CSRI Summer Proceedings 2007. pp. 1226. (2007).
 V. E. Howle, J. B. Schroder, and R. S. Tuminaro. The Effect of Boundary Conditions within PressureConvection Diffusion Preconditioners. Sandia National Labs Technical Report #20064466. July 2006.
Presentations
 ParallelinTime with Multigrid: Method, Theory, and Applications, Department of Applied Mathematics, University of Waterloo, December 14th, 2021. Invited Talk.
 Multigrid Reduction in Time: TwoLevel Convergence Theory with Spatial Coarsening, 10th Parallelintime Workshop, Virtual Zoom due to Covid19, August 2, 2021.
 LayerParallel Training, Multilevel Network Initialization, and Local Learning, Twentyfirst Copper Mountain Conference on Multigrid Methods, Virtual Zoom due to Covid19, March 29, 2021.
 MultigridBased Distributed Computing Models for Deep Learning, SIAM Conference on Computational Science and Engineering (CSE21), Virtual Zoom due to Covid19, March 1, 2021. Minisymposium organizer.
 Early Career Panel, SIAM Conference on Computational Science and Engineering (CSE21), Virtual Zoom due to Covid19. March 2, 2021. Invited speaker.
 A General and Scalable MultigridReduction Approach to ParallelinTime, Department of Mathematical Sciences, Michigan Tech, Houghton, Michigan. January 22, 2021. Invited colloquium.
 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.
 ParallelinTime Training for Deep Residual Neural Networks, 9th Parallelintime Workshop, Virtual Zoom due to Covid19, June 12, 2020.

LayerParallel Training and Multilevel Initialization for Deep Residual Neural Networks,
16th Copper Mountain Conference On Iterative Methods, Copper Mountain, Colorado. March 2126, 2020.
Abstract accepted, conference canceled due to Covid19.  ParallelinTime with Multigrid: Theory and Applications, Colloquium, Department of Mathematics and Statistics, University of New Mexico. October 24, 2019.
 Parallel Multigrid Solvers in Space and Time for Future Architectures, Los Alamos National Laboratory, Math and Physics Division, June 18, 2019. Invited Talk.
 Scalable ParallelinTime with Multigrid, Bergische University of Wuppertal, Applied Mathematics Group, May 28, 2019. Invited Talk.
 ParallelinTime and Deep Residual Neural Networks: LayerParallelism, Eighth Workshop on ParallelinTime Methods: Advanced ParallelinTime Algorithms for Computer Simulations in Physical Sciences, Social Sciences and Engineering, Bielefeld, Germany, May 21, 2019.
 LayerParallel Training of Deep Residual Neural Networks, Nineteenth Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado. March 2019.
 Parallel Time Integration, Nineteenth Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado. March 2019. Minisymposium coorganizer.
 ParallelinTime: A Scalable and NonIntrusive Approach with Multigrid, Applied Math Seminar, Department of Mathematics and Statistics, University of New Mexico. October 22, 2019.
 Parallel Multigrid Solvers for Future Architectures, Sandia National Laboratories, CSRI, Oct. 17, 2018. Invited Talk.
 ParallelinTime Methods for Highly Concurrent Architectures. DD25, St. Johns, Canada, July 2018. Minisymposium organizer.
 ParallelinTime Optimization with the GeneralPurpose XBraid Package. Seventh Workshop on ParallelinTime Methods, Roscoff, France, May 3, 2018.
 MGRIT for NonPDEBased Evolution Processes: Powergrid simulations and neural network training. Fifteenth Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado. March 2018.
 ParallelinTime: A Scalable and NonIntrusive Approach with Multigrid Reduction in Time (MGRIT). Department of Mechanical Engineering, Colorado State University, Fort Collins, Colorado. November 14, 2017. Invited colloquium.
 Multigrid Reduction in Time for NonPDEBased Evolution Processes: Powergrid Simulations and Neural Network Training. Sixth Workshop on ParallelinTime Integration, Centro Congressi Stefano Franscini, Ascona, Switzerland. October 2017.
 XBraid Tutorial. Sixth Workshop on ParallelinTime Integration, Centro Congressi Stefano Franscini, Ascona, Switzerland. October 2017.
 XBraid Tutorial. Eighteenth Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado. March 2017.
 Parallel Time Integration. Eighteenth Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado. March 2017. Minisymposium coorganizer.
 SpaceTime Multigrid Methods Minisymposium. SIAM Conference on Computational Science and Engineering (CSE), Atlanta, Georgia. March 2017. Minisymposium coorganizer.
 SpaceTime Adaptive Meshing with the XBraid Library. TwentyFourth International Conference on Domain Decomposition Methods, Svalbard, Norway. February 2017.
 Twolevel Convergence Theory for Multigrid Reduction in Time (MGRIT). Fifth Workshop on ParallelinTime Integration, Banff International Research Station, Canada. November 2016.
 Multigrid Reduction in Time: Recent Theoretical Results. Fourteenth Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado. March 22, 2016.
 Multigrid Reduction in Time (MGRIT): A Flexible and Scalable Approach to ParallelinTime. Monash Workshop on Numerical PDEs, Melbourne, Australia. February 17, 2016. Invited plenary.
 Multigrid Reduction in Time (MGRIT): An Overview. Fourth Workshop on ParallelinTime Integration, Dresden, Germany. May 27, 2015.
 A General Purpose ParallelinTime Approach. SIAM Conference on Computational Science and Engineering (CSE), Salt Lake City, Utah. March 18, 2015. Minisymposium organizer.
 Multigrid Reduction in Time: A Flexible and NonIntrusive Method. Third Workshop on ParallelinTime Integration, Julich, Germany. May 27, 2014.
 Theoretical Advances Regarding NonGalerkin CoarseGrid Operators for Algebraic Multigrid. Thirteenth Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado. April 9, 2014.
 NonGalerkin CoarseGrid Operators for Parallel Algebraic Multigrid. Sixteenth Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado. March 19, 2013.
 EnergyMinimization Interpolation for Adaptive Algebraic Multigrid. SIAM Conference on Applied Linear Algebra, Valencia, Spain. June 1822, 2012.
 NonGalerkin CoarseGrid Operators for Parallel Algebraic Multigrid. Twelfth Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado. March 27, 2012.
 PyAMG Tutorial. Twelfth Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado. March 28, 2012.
 A General EnergyMinimization Strategy for Interpolation in Algebraic Multigrid. Seventh International Congress on Industrial and Applied Mathematics, Vancouver, Canada. July 21, 2011.
 PyAMG Tutorial. Fifteenth Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado. March 31, 2011.
 Smoothed Aggregation Solvers for Anisotropic Diffusion. Fifteenth Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado. March 28, 2011.
 Generalizing Smoothed AggregationBased Algebraic Multigrid. TechX Corporation, Boulder, Colorado. July 29, 2010.
 A General Interpolation Strategy for Algebraic Multigrid Using Energy Minimization. Eleventh Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado. April 5, 2010.
 Smoothed Aggregation Multigrid for Helmholtz Problems. Fourteenth Copper Mountain Conference on Multigrid Methods, Copper Mountain, Colorado. March 23, 2009.
 A General StrengthofConnection Concept in AMG. Tenth Copper Mountain Conference on Iterative Methods, Copper Mountain, Colorado. April 7, 2008.
 Stability and Load Balancing in a NASA Global Circulation Model. Southeast ACM Conference, Gatlinburg, Tennessee. November 22, 2003.