Nodal AMG Coarsening and Interpolation for PDE Systems. - Brannick, James J.; Falgout, Robert D.; Kahl, Karsten; Schroder, Jacob B.; Shen, Taoli (CoRR, 2025)

Parallel-in-time solution of scalar nonlinear conservation laws. - Sterck, Hans De; Falgout, Robert D.; Krzysik, Oliver A.; Schroder, Jacob B. (CoRR, 2024)

Fast Iterative Solver For Neural Network Method: I. 1D Diffusion Problems. - Cai, Zhiqiang; Doktorova, Anastassia; Falgout, Robert D.; Herrera, César (CoRR, 2024)

Fast Iterative Solver For Neural Network Method: II. 1D Diffusion-Reaction Problems And Data Fitting. - Cai, Zhiqiang; Doktorova, Anastassia; Falgout, Robert D.; Herrera, César (CoRR, 2024)

Parallel-in-time solution of hyperbolic PDE systems via characteristic-variable block preconditioning. - Sterck, Hans De; Falgout, Robert D.; Krzysik, Oliver A.; Schroder, Jacob B. (CoRR, 2024)

Efficient Multigrid Reduction-in-Time for Method-of-Lines Discretizations of Linear Advection. - Sterck, Hans De; Falgout, Robert D.; Krzysik, Oliver A.; Schroder, Jacob B. (J. Sci. Comput., 2023)

A New Semistructured Algebraic Multigrid Method. - Magri, Victor A. Paludetto; Falgout, Robert D.; Yang, Ulrike Meier (SIAM J. Sci. Comput., 2023)

Fast Multigrid Reduction-in-Time for Advection via Modified Semi-Lagrangian Coarse-Grid Operators. - Sterck, Hans De; Falgout, Robert D.; Krzysik, Oliver A. (SIAM J. Sci. Comput., 2023)

Multigrid Reduction in Time for Chaotic Dynamical Systems. - Vargas, David A.; Falgout, Robert D.; Günther, Stefanie; Schroder, Jacob B. (SIAM J. Sci. Comput., 2023)

Toward Parallel in Time for Chaotic Dynamical Systems. - Vargas, David A.; Falgout, Robert D.; Günther, Stefanie; Schroder, Jacob B. (CoRR, 2022)

Fast multigrid reduction-in-time for advection via modified semi-Lagrangian coarse-grid operators. - Sterck, Hans De; Falgout, Robert D.; Krzysik, Oliver A. (CoRR, 2022)

A New Semi-Structured Algebraic Multigrid Method. - Magri, Victor A. Paludetto; Falgout, Robert D.; Yang, Ulrike Meier (CoRR, 2022)

Multigrid Reduction in Time for Chaotic Dynamical Systems. - Vargas, David A.; Falgout, Robert D.; Günther, Stefanie; Schroder, Jacob B. (CoRR, 2022)

Efficient multigrid reduction-in-time for method-of-lines discretizations of linear advection. - Sterck, Hans De; Falgout, Robert D.; Krzysik, Oliver A.; Schroder, Jacob B. (CoRR, 2022)

Parallel performance of algebraic multigrid domain decomposition. - Mitchell, Wayne B.; Strzodka, Robert; Falgout, Robert D. (Numer. Linear Algebra Appl., 2021)

Optimizing multigrid reduction-in-time and Parareal coarse-grid operators for linear advection. - Sterck, Hans De; Falgout, Robert D.; Friedhoff, Stephanie; Krzysik, Oliver A.; MacLachlan, Scott P. (Numer. Linear Algebra Appl., 2021)

Porting hypre to heterogeneous computer architectures: Strategies and experiences. - Falgout, Robert D.; Li, Ruipeng; Sjögreen, Björn; Wang, Lu; Yang, Ulrike Meier (Parallel Comput., 2021)

Time-periodic steady-state solution of fluid-structure interaction and cardiac flow problems through multigrid-reduction-in-time. - Hessenthaler, Andreas; Falgout, Robert D.; Schroder, Jacob B.; Vecchi, Adelaide de; Nordsletten, David; Röhrle, Oliver (CoRR, 2021)

Provably optimal parallel transport sweeps on semi-structured grids. - Adams, Michael P.; Adams, Marvin L.; Hawkins, W. Daryl; Smith, Timmie G.; Rauchwerger, Lawrence; Amato, Nancy M.; Bailey, Teresa S.; Falgout, Robert D.; Kunen, Adam; Brown, Peter (J. Comput. Phys., 2020)

Multilevel Convergence Analysis of Multigrid-Reduction-in-Time. - Hessenthaler, Andreas; Southworth, Ben S.; Nordsletten, David; Röhrle, Oliver; Falgout, Robert D.; Schroder, Jacob B. (SIAM J. Sci. Comput., 2020)

A parallel-in-time algorithm for variable step multistep methods. - Falgout, Robert D.; Lecouvez, Matthieu; Woodward, Carol S. (J. Comput. Sci., 2019)

Parallel-In-Time Multigrid with Adaptive Spatial Coarsening for The Linear Advection and Inviscid Burgers Equations. - Howse, Alexander J. M.; Sterck, Hans De; Falgout, Robert D.; MacLachlan, Scott P.; Schroder, Jacob B. (SIAM J. Sci. Comput., 2019)

Preparation and optimization of a diverse workload for a large-scale heterogeneous system. - Karlin, Ian; Park, Yoonho; Supinski, Bronis R. de; Wang, Peng; Still, Bert; Beckingsale, David; Blake, Robert; Chen, Tong; Cong, Guojing; Costa, Carlos H. A.; Dahm, Johann; Domeniconi, Giacomo; et al. (2019)

Parallel Performance of Algebraic Multigrid Domain Decomposition (AMG-DD). - Mitchell, Wayne B.; Strzodka, Robert; Falgout, Robert D.; McCormick, Stephen F. (CoRR, 2019)

Optimizing MGRIT and Parareal coarse-grid operators for linear advection. - Sterck, Hans De; Falgout, Robert D.; Friedhoff, Stephanie; Krzysik, Oliver A.; MacLachlan, Scott P. (CoRR, 2019)

Convergence of the multigrid reduction in time algorithm for the linear elasticity equations. - Hessenthaler, Andreas; Nordsletten, David; Röhrle, Oliver; Schroder, Jacob B.; Falgout, Robert D. (Numer. Linear Algebra Appl., 2018)

Optimal Interpolation and Compatible Relaxation in Classical Algebraic Multigrid. - Brannick, James J.; Cao, Fei; Kahl, Karsten; Falgout, Robert D.; Hu, Xiaozhe (SIAM J. Sci. Comput., 2018)

Multigrid methods with space-time concurrency. - Falgout, Robert D.; Friedhoff, Stephanie; Kolev, Tzanio V.; MacLachlan, Scott P.; Schroder, Jacob B.; Vandewalle, Stefan (Comput. Vis. Sci., 2017)

Stencil computations for PDE-based applications with examples from DUNE and hypre. - Engwer, Christian; Falgout, Robert D.; Yang, Ulrike Meier (Concurr. Comput. Pract. Exp., 2017)

Special issue: Advanced stencil-code engineering. - Lengauer, Christian; Bolten, Matthias; Falgout, Robert D.; Schenk, Olaf (Concurr. Comput. Pract. Exp., 2017)

Multigrid Reduction in Time for Nonlinear Parabolic Problems: A Case Study. - Falgout, Robert D.; Manteuffel, Thomas A.; O'Neill, Ben; Schroder, Jacob B. (SIAM J. Sci. Comput., 2017)

Reducing Parallel Communication in Algebraic Multigrid through Sparsification. - Bienz, Amanda; Falgout, Robert D.; Gropp, William; Olson, Luke N.; Schroder, Jacob B. (SIAM J. Sci. Comput., 2016)

A Performance Model for Allocating the Parallelism in a Multigrid-in-Time Solver. - Gahvari, Hormozd; Dobrev, Veselin A.; Falgout, Robert D.; Kolev, Tzanio V.; Schroder, Jacob B.; Schulz, Martin; Yang, Ulrike Meier (2016)

Div First-Order System LL* (FOSLL*) for Second-Order Elliptic Partial Differential Equations. - Cai, Zhiqiang; Falgout, Robert D.; Zhang, Shun (SIAM J. Numer. Anal., 2015)

Algebraic Multigrid Domain and Range Decomposition (AMG-DD/AMG-RD). - Bank, R.; Falgout, Robert D.; Jones, Toby; Manteuffel, Thomas A.; McCormick, Stephen F.; Ruge, John W. (SIAM J. Sci. Comput., 2015)

Reducing Parallel Communication in Algebraic Multigrid through Sparsification. - Bienz, Amanda; Falgout, Robert D.; Gropp, William; Olson, Luke N.; Schroder, Jacob B. (CoRR, 2015)

Advanced Stencil-Code Engineering (Dagstuhl Seminar 15161). - Lengauer, Christian; Bolten, Matthias; Falgout, Robert D.; Schenk, Olaf (Dagstuhl Reports, 2015)

Non-Galerkin Coarse Grids for Algebraic Multigrid. - Falgout, Robert D.; Schroder, Jacob B. (SIAM J. Sci. Comput., 2014)

Parallel Time Integration with Multigrid. - Falgout, Robert D.; Friedhoff, Stephanie; Kolev, Tzanio V.; MacLachlan, Scott P.; Schroder, Jacob B. (SIAM J. Sci. Comput., 2014)

Scaling Hypre's Multigrid Solvers to 100, 000 Cores. - Baker, Allison H.; Falgout, Robert D.; Kolev, Tzanio V.; Yang, Ulrike Meier (2012)

Multigrid Smoothers for Ultraparallel Computing. - Baker, Allison H.; Falgout, Robert D.; Kolev, Tzanio V.; Yang, Ulrike Meier (SIAM J. Sci. Comput., 2011)

Multigrid methods. - Falgout, Robert D. (Numer. Linear Algebra Appl., 2010)

Compatible Relaxation and Coarsening in Algebraic Multigrid. - Brannick, James J.; Falgout, Robert D. (SIAM J. Sci. Comput., 2010)

Scaling Algebraic Multigrid Solvers: On the Road to Exascale. - Baker, Allison H.; Falgout, Robert D.; Gamblin, Todd; Kolev, Tzanio V.; Schulz, Martin; Yang, Ulrike Meier (2010)

Multigrid Methods. - Falgout, Robert D. (Numer. Linear Algebra Appl., 2008)

Distance-two interpolation for parallel algebraic multigrid. - Sterck, Hans De; Falgout, Robert D.; Nolting, Joshua; Yang, Ulrike Meier (Numer. Linear Algebra Appl., 2008)

An Introduction to Algebraic Multigrid. - Falgout, Robert D. (Comput. Sci. Eng., 2006)

Conceptual interfaces in hypre. - Falgout, Robert D.; Jones, Jim E.; Yang, Ulrike Meier (Future Gener. Comput. Syst., 2006)

Special issue on multigrid methods. - Falgout, Robert D. (Numer. Linear Algebra Appl., 2006)

An assumed partition algorithm for determining processor inter-communication. - Baker, Allison H.; Falgout, Robert D.; Yang, Ulrike Meier (Parallel Comput., 2006)

Adaptive Algebraic Multigrid. - Brezina, Marian; Falgout, Robert D.; MacLachlan, Scott P.; Manteuffel, Thomas A.; McCormick, Stephen F.; Ruge, John W. (SIAM J. Sci. Comput., 2006)

A Survey of Parallelization Techniques for Multigrid Solvers. - Chow, Edmond; Falgout, Robert D.; Hu, Jonathan J.; Tuminaro, Raymond S.; Yang, Ulrike Meier (2006)

On two-grid convergence estimates. - Falgout, Robert D.; Vassilevski, Panayot S.; Zikatanov, Ludmil T. (Numer. Linear Algebra Appl., 2005)

Adaptive Smoothed Aggregation (AlphaSA) Multigrid. - Brezina, Marian; Falgout, Robert D.; MacLachlan, Scott P.; Manteuffel, Thomas A.; McCormick, Stephen F.; Ruge, John W. (SIAM Rev., 2005)

Pursuing scalability for hypre's conceptual interfaces. - Falgout, Robert D.; Jones, Jim E.; Yang, Ulrike Meier (ACM Trans. Math. Softw., 2005)

On Generalizing the Algebraic Multigrid Framework. - Falgout, Robert D.; Vassilevski, Panayot S. (SIAM J. Numer. Anal., 2004)

Adaptive Smoothed Aggregation (αSA). - Brezina, Marian; Falgout, Robert D.; MacLachlan, Scott P.; Manteuffel, Thomas A.; McCormick, Stephen F.; Ruge, John W. (SIAM J. Sci. Comput., 2004)

Spectral AMGe (ρAMGe). - Chartier, Tim; Falgout, Robert D.; Henson, Van Enden; Jones, Jim E.; Manteuffel, Thomas A.; McCormick, Stephen F.; Ruge, John W.; Vassilevski, Panayot S. (SIAM J. Sci. Comput., 2003)

hypre: A Library of High Performance Preconditioners. - Falgout, Robert D.; Yang, Ulrike Meier (2002)

Algebraic Multigrid Based on Element Interpolation (AMGe). - Brezina, Marian; Cleary, Andrew J.; Falgout, Robert D.; Henson, Van Enden; Jones, Jim E.; Manteuffel, Thomas A.; McCormick, Stephen F.; Ruge, John W. (SIAM J. Sci. Comput., 2001)

Semicoarsening Multigrid on Distributed Memory Machines. - Brown, Peter N.; Falgout, Robert D.; Jones, Jim E. (SIAM J. Sci. Comput., 2000)

Robustness and Scalability of Algebraic Multigrid. - Cleary, Andrew J.; Falgout, Robert D.; Henson, Van Emden; Jones, Jim E.; Manteuffel, Thomas A.; McCormick, Stephen F.; Miranda, Gerald N.; Ruge, John W. (SIAM J. Sci. Comput., 2000)

A Numerical Simulation of Groundwater Flow and Contaminant Transport on the CRAY T3D and C90 Supercomputers. - Ashby, Steven F.; Bosl, William J.; Falgout, Robert D.; Smith, Steven G.; Tompson, A. F. B.; Williams, Timothy J. (Int. J. High Perform. Comput. Appl., 1999)

Coarse-Grid Selection for Parallel Algebraic Multigrid. - Cleary, Andrew J.; Falgout, Robert D.; Henson, Van Enden; Jones, Jim E. (1998)

A poly-algorithm for parallel dense matrix multiplication on two-dimensional process grid topologies. - Li, Jin; Skjellum, Anthony; Falgout, Robert D. (Concurr. Pract. Exp., 1997)

The Parallel Performance of a Groundwater Flow Code on the Cray T3D. - Ashby, Steven F.; Falgout, Robert D.; Smith, Steven G.; Tompson, A. F. B. (1995)

The Multicomputer Toolbox - First-Generation Scalable Libraries. - Skjellum, Anthony; Leung, Alvin P.; Smith, Steven G.; Falgout, Robert D.; Still, Charles H.; Baldwin, Chuck (1994)