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)

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)

An energy-based AMG coarsening strategy. - James J. Brannick; Marian Brezina; Scott P. MacLachlan; Thomas A. Manteuffel; Stephen F. McCormick; John W. Ruge (Numer. Linear Algebra Appl., 2006)

Adaptive reduction-based AMG. - Scott P. MacLachlan; Tom Manteuffel; Steve F. McCormick (Numer. Linear Algebra Appl., 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)

A Greedy Strategy for Coarse-Grid Selection. - Scott P. MacLachlan; Yousef Saad (SIAM J. Sci. Comput., 2007)

Greedy Coarsening Strategies for Nonsymmetric Problems. - Scott P. MacLachlan; Yousef Saad (SIAM J. Sci. Comput., 2007)

Fast and robust solvers for pressure-correction in bubbly flow problems. - Scott P. MacLachlan; Jok Man Tang; Cornelis Vuik (J. Comput. Phys., 2008)

Algebraic Multigrid Solvers for Complex-Valued Matrices. - Scott P. MacLachlan; Cornelis W. Oosterlee (SIAM J. Sci. Comput., 2008)

A multigrid-based shifted Laplacian preconditioner for a fourth-order Helmholtz discretization. - N. Umetani; Scott P. MacLachlan; Cornelis W. Oosterlee (Numer. Linear Algebra Appl., 2009)

An angular multigrid method for computing mono-energetic particle beams in Flatland. - Christoph Börgers; Scott P. MacLachlan (J. Comput. Phys., 2010)

A geometric multigrid method based on L-shaped coarsening for PDEs on stretched grids. - Hisham Bin Zubair; Scott P. MacLachlan; Cornelis W. Oosterlee (Numer. Linear Algebra Appl., 2010)

A Comparison of Two-Level Preconditioners Based on Multigrid and Deflation. - Jok Man Tang; Scott P. MacLachlan; Reinhard Nabben; Cornelis Vuik (SIAM J. Matrix Anal. Appl., 2010)

A fast method for the solution of the Helmholtz equation. - Eldad Haber; Scott P. MacLachlan (J. Comput. Phys., 2011)

Local Fourier analysis for multigrid with overlapping smoothers applied to systems of PDEs. - Scott P. MacLachlan; Cornelis W. Oosterlee (Numer. Linear Algebra Appl., 2011)

Iterative Parameter-Choice and Multigrid Methods for Anisotropic Diffusion Denoising. - D. Chen; Scott P. MacLachlan; Misha E. Kilmer (SIAM J. Sci. Comput., 2011)

Robust and adaptive multigrid methods: comparing structured and algebraic approaches. - Scott P. MacLachlan; J. David Moulton; Timothy P. Chartier (Numer. Linear Algebra Appl., 2012)

Modification and Compensation Strategies for Threshold-based Incomplete Factorizations. - Scott P. MacLachlan; Daniel Osei-Kuffuor; Yousef Saad (SIAM J. Sci. Comput., 2012)

Local Fourier Analysis of Space-Time Relaxation and Multigrid Schemes. - Stephanie Friedhoff; Scott P. MacLachlan; Christoph Börgers (SIAM J. Sci. Comput., 2013)

Robust Solution of Singularly Perturbed Problems Using Multigrid Methods. - Scott P. MacLachlan; Niall Madden (SIAM J. Sci. Comput., 2013)

Theoretical bounds for algebraic multigrid performance: review and analysis. - Scott P. MacLachlan; Luke N. Olson (Numer. Linear Algebra Appl., 2014)

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

A generalized predictive analysis tool for multigrid methods. - Stephanie Friedhoff; Scott P. MacLachlan (Numer. Linear Algebra Appl., 2015)

An Energy-Minimization Finite-Element Approach for the Frank-Oseen Model of Nematic Liquid Crystals. - James H. Adler; Timothy J. Atherton; David B. Emerson; Scott P. MacLachlan (SIAM J. Numer. Anal., 2015)

Energy Minimization for Liquid Crystal Equilibrium with Electric and Flexoelectric Effects. - James H. Adler; Timothy J. Atherton; Thomas R. Benson; David B. Emerson; Scott P. MacLachlan (SIAM J. Sci. Comput., 2015)

Monolithic Multigrid Methods for Two-Dimensional Resistive Magnetohydrodynamics. - James H. Adler; Thomas R. Benson; Eric C. Cyr; Scott P. MacLachlan; Raymond S. Tuminaro (SIAM J. Sci. Comput., 2016)

Constrained Optimization for Liquid Crystal Equilibria. - James H. Adler; David B. Emerson; Scott P. MacLachlan; Thomas A. Manteuffel (SIAM J. Sci. Comput., 2016)

Discrete Energy Laws for the First-Order System Least-Squares Finite-Element Approach. - James H. Adler; Ilya Lashuk; Scott P. MacLachlan; Ludmil T. Zikatanov (LSSC, 2017)

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)

Preconditioning a mass-conserving discontinuous Galerkin discretization of the Stokes equations. - James H. Adler; Thomas R. Benson; Scott P. MacLachlan (Numer. Linear Algebra Appl., 2017)

Combining Deflation and Nested Iteration for Computing Multiple Solutions of Nonlinear Variational Problems. - J. H. Adler; David B. Emerson; Patrick E. Farrell; Scott P. MacLachlan (SIAM J. Sci. Comput., 2017)

Boundary layer preconditioners for finite-element discretizations of singularly perturbed reaction-diffusion problems. - Thái Anh Nhan; Scott P. MacLachlan; Niall Madden (Numer. Algorithms, 2018)

Composite-grid multigrid for diffusion on the sphere. - James H. Adler; Ilya Lashuk; Scott P. MacLachlan (Numer. Linear Algebra Appl., 2018)

Local Fourier analysis of block-structured multigrid relaxation schemes for the Stokes equations. - Yunhui He; Scott P. MacLachlan (Numer. Linear Algebra Appl., 2018)

First-Order System Least Squares Finite-Elements for Singularly Perturbed Reaction-Diffusion Equations. - James H. Adler; Scott P. MacLachlan; Niall Madden (LSSC, 2019)

Vector-potential finite-element formulations for two-dimensional resistive magnetohydrodynamics. - James H. Adler; Yunhui He; Xiaozhe Hu; Scott P. MacLachlan (Comput. Math. Appl., 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)

Local Fourier analysis for mixed finite-element methods for the Stokes equations. - Yunhui He; Scott P. MacLachlan (J. Comput. Appl. Math., 2019)

Local Fourier Analysis of Balancing Domain Decomposition By Constraints Algorithms. - Jed Brown; Yunhui He; Scott P. MacLachlan (SIAM J. Sci. Comput., 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)

Tuning Multigrid Methods with Robust Optimization. - Jed Brown; Yunhui He; Scott P. MacLachlan; Matt Menickelly; Stefan M. Wild (CoRR, 2020)

Monolithic Multigrid for Magnetohydrodynamics. - J. H. Adler; Thomas R. Benson; Eric C. Cyr; Patrick E. Farrell; Scott P. MacLachlan; Ray S. Tuminaro (CoRR, 2020)

Two-level Fourier analysis of multigrid for higher-order finite-element discretizations of the Laplacian. - Yunhui He; Scott P. MacLachlan (Numer. Linear Algebra Appl., 2020)

Convergence analysis for parallel-in-time solution of hyperbolic systems. - Hans De Sterck; Stephanie Friedhoff; Alexander J. M. Howse; Scott P. MacLachlan (Numer. Linear Algebra Appl., 2020)

Block Preconditioning Techniques for Geophysical Electromagnetics. - Hisham Bin Zubair; C. Farquharson; Scott P. MacLachlan (SIAM J. Sci. Comput., 2020)

Optimization-Based Algebraic Multigrid Coarsening Using Reinforcement Learning. - Ali Taghibakhshi; Scott P. MacLachlan; Luke N. Olson; Matthew West 001 (NeurIPS, 2021)

Multigrid Reduction in Time for non-linear hyperbolic equations. - Federico Danieli; Scott P. MacLachlan (CoRR, 2021)

A new mixed finite-element method for the biharmonic problem. - Patrick E. Farrell; Abdalaziz Hamdan; Scott P. MacLachlan (CoRR, 2021)

Selective decay for the rotating shallow-water equations with a structure-preserving discretization. - Rüdiger Brecht; Werner Bauer; Alexander Bihlo; François Gay-Balmaz; Scott P. MacLachlan (CoRR, 2021)

A local Fourier analysis of additive Vanka relaxation for the Stokes equations. - Patrick E. Farrell; Yunhui He; Scott P. MacLachlan (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)

Monolithic Multigrid Methods for Magnetohydrodynamics. - James H. Adler; Thomas R. Benson; Eric C. Cyr; Patrick E. Farrell; Scott P. MacLachlan; Ray S. Tuminaro (SIAM J. Sci. Comput., 2021)

Tuning Multigrid Methods with Robust Optimization and Local Fourier Analysis. - Jed Brown; Yunhui He; Scott P. MacLachlan; Matt Menickelly; Stefan M. Wild (SIAM J. Sci. Comput., 2021)

Learning Interface Conditions in Domain Decomposition Solvers. - Ali Taghibakhshi; Nicolas Nytko; Tareq Uz Zaman; Scott P. MacLachlan; Luke N. Olson; Matthew West 001 (NeurIPS, 2022)

A new mixed finite-element method for H2 elliptic problems. - Patrick E. Farrell; Abdalaziz Hamdan; Scott P. MacLachlan (Comput. Math. Appl., 2022)

Finite-element discretization of the smectic density equation. - Patrick E. Farrell; Abdalaziz Hamdan; Scott P. MacLachlan (CoRR, 2022)

Preconditioned Krylov solvers for structure-preserving discretisations. - James Jackaman; Scott P. MacLachlan (CoRR, 2022)

Optimized Sparse Matrix Operations for Reverse Mode Automatic Differentiation. - Nicolas Nytko; Ali Taghibakhshi; Tareq-Uz-Zaman; Scott P. MacLachlan; Luke N. Olson; Matt West 001 (CoRR, 2022)

Low-order preconditioning of the Stokes equations. - Alexey Voronin; Yunhui He; Scott P. MacLachlan; Luke N. Olson; Raymond S. Tuminaro (Numer. Linear Algebra Appl., 2022)

A Boundary-Layer Preconditioner for Singularly Perturbed Convection Diffusion. - Scott P. MacLachlan; Niall Madden; Thái Anh Nhan (SIAM J. Matrix Anal. Appl., 2022)

MG-GNN: Multigrid Graph Neural Networks for Learning Multilevel Domain Decomposition Methods. - Ali Taghibakhshi; Nicolas Nytko; Tareq Uz Zaman; Scott P. MacLachlan; Luke N. Olson; Matthew West 001 (ICML, 2023)

Multigrid preconditioning of singularly perturbed convection-diffusion equations. - M. Shahid; Scott P. MacLachlan; H. bin Zubair Syed (CoRR, 2023)

A positivity-preserving unigrid method for elliptic PDEs. - Ronald D. Haynes; Scott P. MacLachlan; Dawei Wang (CoRR, 2023)

Coarse-grid selection using simulated annealing. - Tareq Uz Zaman; Scott P. MacLachlan; Luke N. Olson; Matthew West 001 (J. Comput. Appl. Math., 2023)

Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow. - Razan Abu-Labdeh; Scott P. MacLachlan; Patrick E. Farrell (J. Comput. Phys., 2023)

Monolithic Multigrid for a Reduced-Quadrature Discretization of Poroelasticity. - James H. Adler; Yunhui He; Xiaozhe Hu; Scott P. MacLachlan; Peter Ohm (SIAM J. Sci. Comput., 2023)

Extending Irksome: improvements in automated Runge-Kutta time stepping for finite element methods. - Robert C. Kirby; Scott P. MacLachlan (CoRR, 2024)

Monolithic Multigrid Preconditioners for High-Order Discretizations of Stokes Equations. - Alexey Voronin; Graham Harper; Scott P. MacLachlan; Luke N. Olson; Raymond S. Tuminaro (CoRR, 2024)

Space-time waveform relaxation multigrid for Navier-Stokes. - James Jackaman; Scott P. MacLachlan (CoRR, 2024)

Achieving h- and p-robust monolithic multigrid solvers for the Stokes equations. - Amin Rafiei; Scott P. MacLachlan (CoRR, 2024)

Unique continuation principles for finite-element discretizations of the Laplacian. - Graham Cox; Scott P. MacLachlan; Luke Steeves (CoRR, 2024)

Multigrid Preconditioning for Regularized Least-Squares Problems. - Matthias Bolten; Misha E. Kilmer; Scott P. MacLachlan (SIAM J. Sci. Comput., 2024)

Special Section: 2023 Copper Mountain Conference. - Eric C. Cyr; Scott P. MacLachlan (SIAM J. Sci. Comput., 2024)

Generalizing Lloyd's Algorithm for Graph Clustering. - Tareq Uz Zaman; Nicolas Nytko; Ali Taghibakhshi; Scott P. MacLachlan; Luke N. Olson; Matthew West 001 (SIAM J. Sci. Comput., 2024)

Constraint-Satisfying Krylov Solvers for Structure-Preserving Discretizations. - James Jackaman; Scott P. MacLachlan (SIAM J. Matrix Anal. Appl., 2024)

Generalizing reduction-based algebraic multigrid. - Tareq Uz Zaman; Nicolas Nytko; Ali Taghibakhshi; Scott P. MacLachlan; Luke N. Olson; Matthew West 001 (Numer. Linear Algebra Appl., 2024)

Exploiting mesh structure to improve multigrid performance for saddle-point problems. - Lukas Spies; Luke N. Olson; Scott P. MacLachlan (Int. J. High Perform. Comput. Appl., 2025)

Achieving h- and p-Robust Monolithic Multigrid Solvers for the Stokes Equations. - Amin Rafiei; Scott P. MacLachlan (Numer. Linear Algebra Appl., 2025)

Monolithic Algebraic Multigrid Preconditioners for the Stokes Equations. - Alexey Voronin; Scott P. MacLachlan; Luke N. Olson; Raymond S. Tuminaro (SIAM J. Sci. Comput., 2025)

Improved monolithic multigrid methods for high-order Taylor-Hood discretizations. - Amin Rafiei; Scott P. MacLachlan (CoRR, 2025)

Multigrid Reduction-In-Time Convergence for Advection Problems: A Fourier Analysis Perspective. - Hans De Sterck; Stephanie Friedhoff; Oliver A. Krzysik; Scott P. MacLachlan (Numer. Linear Algebra Appl., 2025)