The Multicomputer Toolbox - First-Generation Scalable Libraries. - Anthony Skjellum; Alvin P. Leung; Steven G. Smith; Robert D. Falgout; Charles H. Still; Chuck Baldwin (HICSS (2), 1994)

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

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

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

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

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

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

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

hypre: A Library of High Performance Preconditioners. - Robert D. Falgout; Ulrike Meier Yang (International Conference on Computational Science (3), 2002)

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

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

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

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

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

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

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

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

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

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

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

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

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

Scaling Algebraic Multigrid Solvers: On the Road to Exascale. - Allison H. Baker; Robert D. Falgout; Todd Gamblin; Tzanio V. Kolev; Martin Schulz 001; Ulrike Meier Yang (CHPC, 2010)

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

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

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

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

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

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

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

Div First-Order System LL* (FOSLL*) for Second-Order Elliptic Partial Differential Equations. - Zhiqiang Cai 001; Robert D. Falgout; Shun Zhang 001 (SIAM J. Numer. Anal., 2015)

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

A Performance Model for Allocating the Parallelism in a Multigrid-in-Time Solver. - Hormozd Gahvari; Veselin A. Dobrev; Robert D. Falgout; Tzanio V. Kolev; Jacob B. Schroder; Martin Schulz 001; Ulrike Meier Yang (PMBS@SC, 2016)

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

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

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

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

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

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

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

Preparation and optimization of a diverse workload for a large-scale heterogeneous system. - Ian Karlin; Yoonho Park; Bronis R. de Supinski; Peng Wang; Bert Still; David Beckingsale; Robert Blake; Tong Chen 001; Guojing Cong; Carlos H. A. Costa; Johann Dahm; Giacomo Domeniconi; et al. (SC, 2019)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Fast Iterative Solver For Neural Network Method: I. 1D Diffusion Problems. - Zhiqiang Cai 001; Anastassia Doktorova; Robert D. Falgout; César Herrera (CoRR, 2024)

Fast Iterative Solver For Neural Network Method: II. 1D Diffusion-Reaction Problems And Data Fitting. - Zhiqiang Cai 001; Anastassia Doktorova; Robert D. Falgout; César Herrera (CoRR, 2024)

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

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