A General Approach to One-Step Iterative Methods with Application to Eigenvalue Problems. - Steve F. McCormick (J. Comput. Syst. Sci., 1972)

Evaluation of the square root function on microprocessors. - M. Andrews; Stephen F. McCormick; G. D. Taylor (ACM Annual Conference, 1976)

SIGMAP/SIGSAM/SIGNUM(Paper Session). - M. Andrews; Stephen F. McCormick; G. D. Taylor; James L. Noyes; Hatem M. Khalil; Dana L. Ulery; James E. Kalan (ACM Annual Conference, 1976)

Some Convergence Results on the Method of Gradients for Ax = lambda Bx. - Steve F. McCormick (J. Comput. Syst. Sci., 1976)

A general mesh independence principle for Newton's method applied to second order boundary value problems. - Eugene L. Allgower; Stephen F. McCormick; Daniel V. Pryor (Computing, 1979)

Multilevel adaptive methods for partial differential equations. - Stephen F. McCormick (SIAM, 1989)

Computational Complexity of the Schwarz Alternating Procedure. - Zhiqiang Cai 001; Steve F. McCormick (Int. J. High Speed Comput., 1989)

Asynchronous multilevel adaptive methods for solving partial differential equations on multiprocessors: basic ideas. - Leslie Hart; Stephen F. McCormick (Parallel Comput., 1989)

Asynchronous multilevel adaptive methods for solving partial differential equations on multiprocessors: performance results. - Stephen F. McCormick; Daniel J. Quinlan (Parallel Comput., 1989)

On Local Refinement Higher Order Methods for Elliptic Partial Differential Equations. - Stephen F. McCormick; Ulrich Rüde (Int. J. High Speed Comput., 1990)

Multilevel projection methods for partial differential equations. - Stephen F. McCormick (SIAM, 1992)

Special Section on Iterative Methods in Numerical Linear Algebra. - Tom Manteuffel; Steve F. McCormick (SIAM J. Sci. Comput., 1994)

A Parallel Version of a Multigrid Algorithm for Isotropic Transport Equations. - Tom Manteuffel; Steve F. McCormick; Jim Morel; Suely Oliveira; G. Yang (SIAM J. Sci. Comput., 1994)

A Fast Multigrid Algorithm for Isotropic Transport Problems I: Pure Scattering. - Thomas A. Manteuffel; Stephen F. McCormick; Jim Morel; Suely Oliveira; G. Yang (SIAM J. Sci. Comput., 1995)

Multilevel Image Reconstruction with Natural Pixels. - Van Emden Henson; Mark A. Limber; Stephen F. McCormick; Bruce T. Robinson (SIAM J. Sci. Comput., 1996)

A Fast Multigrid Algorithm for Isotropic Transport Problems. II: With Absorption. - Thomas A. Manteuffel; Stephen F. McCormick; Jim Morel; G. Yang (SIAM J. Sci. Comput., 1996)

First-Order System Least Squares (FOSLS) for Convection-Diffusion Problems: Numerical Results. - Jean Michel Fiard; Thomas A. Manteuffel; Stephen F. McCormick (SIAM J. Sci. Comput., 1998)

A multigrid tutorial, Second Edition. - William L. Briggs; Van Emden Henson; Stephen F. McCormick (SIAM, 2000)

First-Order System Least Squares (FOSLS) for Spatial Linear Elasticity: Pure Traction. - Sang Dong Kim; Thomas A. Manteuffel; Stephen F. McCormick (SIAM J. Numer. Anal., 2000)

First-Order System Least Squares For Linear Elasticity: Numerical Results. - Zhiqiang Cai 001; Chang-Ock Lee; Thomas A. Manteuffel; Stephen F. McCormick (SIAM J. Sci. Comput., 2000)

First-Order System Least Squares for the Stokes and Linear Elasticity Equations: Further Results. - Zhiqiang Cai 001; Chang-Ock Lee; Thomas A. Manteuffel; Stephen F. McCormick (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)

First-Order System Least-Squares for the Helmholtz Equation. - Barry Lee; Thomas A. Manteuffel; Stephen F. McCormick; John W. Ruge (SIAM J. Sci. Comput., 2000)

A Nonlinear Multigrid Solver for a Semi-Lagrangian Potential Vorticity-Based Shallow-Water Model on the Sphere. - John W. Ruge; Yong Li; Steve F. McCormick; Achi Brandt; J. R. Bates (SIAM J. Sci. Comput., 2000)

First-Order System CL CL* (FOSLL*): Scalar Elliptic Partial Differential Equations. - Zhiqiang Cai 001; Thomas A. Manteuffel; Stephen F. McCormick; John W. Ruge (SIAM J. Numer. Anal., 2001)

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)

Improved discretization error estimates for first-order system least squares. - Thomas A. Manteuffel; Stephen F. McCormick; Christoph Pflaum (J. Num. Math., 2003)

Multilevel First-Order System Least Squares for Nonlinear Elliptic Partial Differential Equations. - A. L. Codd; Thomas A. Manteuffel; Stephen F. McCormick (SIAM J. Numer. Anal., 2003)

Multilevel First-Order System Least Squares for Elliptic Grid Generation. - A. L. Codd; Thomas A. Manteuffel; Stephen F. McCormick; John W. Ruge (SIAM J. Numer. Anal., 2003)

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)

Asynchronous Fast Adaptive Composite-Grid Methods: Numerical Results. - Barry Lee; Stephen F. McCormick; Bobby Philip; Daniel J. Quinlan (SIAM J. Sci. Comput., 2003)

A robust multilevel approach for minimizing H(div)-dominated functionals in an H1-conforming finite element space. - Travis M. Austin; Thomas A. Manteuffel; Steve F. McCormick (Numer. Linear Algebra Appl., 2004)

Asynchronous Fast Adaptive Composite-Grid Methods for Elliptic Problems: Theoretical Foundations. - Barry Lee; Stephen F. McCormick; Bobby Philip; Daniel J. Quinlan (SIAM J. Numer. Anal., 2004)

First-Order System Least Squares and Electrical Impedance Tomography. - H. R. MacMillan; Thomas A. Manteuffel; Stephen F. McCormick (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)

Least-Squares Finite Element Methods and Algebraic Multigrid Solvers for Linear Hyperbolic PDEs. - Hans De Sterck; Thomas A. Manteuffel; Stephen F. McCormick; Luke N. Olson (SIAM J. Sci. Comput., 2004)

Projection Multilevel Methods for Quasi-linear PDEs: V-cycle Theory. - Stephen F. McCormick (Multiscale Model. Simul., 2005)

Analysis of First-Order System Least Squares (FOSLS) for Elliptic Problems with Discontinuous Coefficients: Part II. - Markus Berndt; Thomas A. Manteuffel; Stephen F. McCormick (SIAM J. Numer. Anal., 2005)

Analysis of First-Order System Least Squares (FOSLS) for Elliptic Problems with Discontinuous Coefficients: Part I. - Markus Berndt; Thomas A. Manteuffel; Stephen F. McCormick; Gerhard Starke (SIAM J. Numer. Anal., 2005)

First-Order System LL* (FOSLL*) for General Scalar Elliptic Problems in the Plane. - Thomas A. Manteuffel; Stephen F. McCormick; John W. Ruge; J. G. Schmidt (SIAM J. Numer. Anal., 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)

Numerical Conservation Properties of H(div)-Conforming Least-Squares Finite Element Methods for the Burgers Equation. - Hans De Sterck; Thomas A. Manteuffel; Stephen F. McCormick; Luke N. Olson (SIAM J. Sci. Comput., 2005)

Guest Editors' Introduction: Multigrid Computing. - Stephen F. McCormick; Ulrich Rüde (Comput. Sci. Eng., 2006)

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)

First-order system least squares for the Oseen equations. - Sang Dong Kim; Chang-Ock Lee; Thomas A. Manteuffel; Stephen F. McCormick; Oliver Röhrle (Numer. Linear Algebra Appl., 2006)

Adaptive reduction-based AMG. - Scott P. MacLachlan; Tom Manteuffel; Steve F. McCormick (Numer. Linear Algebra Appl., 2006)

Projection Multilevel Methods for Quasilinear Elliptic Partial Differential Equations: Theoretical Results. - Thomas A. Manteuffel; Stephen F. McCormick; Oliver Röhrle (SIAM J. Numer. Anal., 2006)

Projection Multilevel Methods for Quasilinear Elliptic Partial Differential Equations: Numerical Results. - Thomas A. Manteuffel; Stephen F. McCormick; Oliver Röhrle; John W. Ruge (SIAM J. Numer. Anal., 2006)

First-Order System Least Squares for Geometrically Nonlinear Elasticity. - Thomas A. Manteuffel; Stephen F. McCormick; J. G. Schmidt; C. R. Westphal (SIAM J. Numer. Anal., 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)

On Mass-Conserving Least-Squares Methods. - Jeffrey J. Heys; Eunjung Lee; Thomas A. Manteuffel; Stephen F. McCormick (SIAM J. Sci. Comput., 2006)

An alternative least-squares formulation of the Navier-Stokes equations with improved mass conservation. - Jeffrey J. Heys; Eunjung Lee; Thomas A. Manteuffel; Stephen F. McCormick (J. Comput. Phys., 2007)

Spatial Multigrid for Isotropic Neutron Transport. - Britton Chang; Thomas A. Manteuffel; Stephen F. McCormick; John W. Ruge; B. Sheehan (SIAM J. Sci. Comput., 2007)

A generalized eigensolver based on smoothed aggregation (GES-SA) for initializing smoothed aggregation (SA) multigrid. - Marian Brezina; Thomas A. Manteuffel; Stephen F. McCormick; John W. Ruge; Geoffrey Sanders; Panayot S. Vassilevski (Numer. Linear Algebra Appl., 2008)

Efficiency-based h- and hp-refinement strategies for finite element methods. - Hans De Sterck; Thomas A. Manteuffel; Stephen F. McCormick; Joshua Nolting; John W. Ruge; Lei Tang (Numer. Linear Algebra Appl., 2008)

Multilevel Adaptive Aggregation for Markov Chains, with Application to Web Ranking. - Hans De Sterck; Thomas A. Manteuffel; Stephen F. McCormick; Quoc Nguyen; John W. Ruge (SIAM J. Sci. Comput., 2008)

An Efficiency-Based Adaptive Refinement Scheme Applied to Incompressible, Resistive Magnetohydrodynamics. - J. H. Adler; Thomas A. Manteuffel; Stephen F. McCormick; J. W. Nolting; John W. Ruge; Lei Tang (LSSC, 2009)

Enhanced Mass Conservation in Least-Squares Methods for Navier-Stokes Equations. - Jeffrey J. Heys; Eunjung Lee; Thomas A. Manteuffel; Stephen F. McCormick; John W. Ruge (SIAM J. Sci. Comput., 2009)

Weighted least-squares finite elements based on particle imaging velocimetry data. - Jeffrey J. Heys; Thomas A. Manteuffel; Stephen F. McCormick; Michele Milano; John Westerdale; Marek Belohlavek (J. Comput. Phys., 2010)

Finite element methods for quantum electrodynamics using a Helmholtz decomposition of the gauge field. - Christian Ketelsen; Tom Manteuffel; Steve F. McCormick; John W. Ruge (Numer. Linear Algebra Appl., 2010)

Further results on error estimators for local refinement with first-order system least squares (FOSLS). - Thomas A. Manteuffel; Steve F. McCormick; Joshua Nolting; John W. Ruge; Geoffrey Sanders (Numer. Linear Algebra Appl., 2010)

Operator-based interpolation for bootstrap algebraic multigrid. - Tom Manteuffel; Steve F. McCormick; Minho Park 006; John W. Ruge (Numer. Linear Algebra Appl., 2010)

First-Order System Least Squares for Incompressible Resistive Magnetohydrodynamics. - J. H. Adler; Thomas A. Manteuffel; Stephen F. McCormick; John W. Ruge (SIAM J. Sci. Comput., 2010)

Nested Iteration and First-Order System Least Squares for Incompressible, Resistive Magnetohydrodynamics. - J. H. Adler; Thomas A. Manteuffel; Stephen F. McCormick; John W. Ruge; Geoffrey D. Sanders (SIAM J. Sci. Comput., 2010)

Least-Squares Finite Element Methods for Quantum Electrodynamics. - James J. Brannick; Christian Ketelsen; Thomas A. Manteuffel; Stephen F. McCormick (SIAM J. Sci. Comput., 2010)

Towards Adaptive Smoothed Aggregation (AlphaSA) for Nonsymmetric Problems. - Marian Brezina; Thomas A. Manteuffel; Stephen F. McCormick; John W. Ruge; Geoffrey Sanders (SIAM J. Sci. Comput., 2010)

Smoothed Aggregation Multigrid for Markov Chains. - Hans De Sterck; Thomas A. Manteuffel; Stephen F. McCormick; Killian Miller; J. Pearson; John W. Ruge; Geoffrey Sanders (SIAM J. Sci. Comput., 2010)

Algebraic Multigrid for Markov Chains. - Hans De Sterck; Thomas A. Manteuffel; Stephen F. McCormick; Killian Miller; John W. Ruge; Geoffrey Sanders (SIAM J. Sci. Comput., 2010)

Efficiency Based Adaptive Local Refinement for First-Order System Least-Squares Formulations. - J. H. Adler; Thomas A. Manteuffel; Stephen F. McCormick; J. W. Nolting; John W. Ruge; Lei Tang (SIAM J. Sci. Comput., 2011)

Special Section: 2010 Copper Mountain Conference. - Ray Tuminaro; Michele Benzi; Xiao-Chuan Cai; Iain Duff; Howard C. Elman; Roland Freund; Kirk E. Jordan; Tim Kelley; David E. Keyes; Misha Elena Kilmer; Sven Leyffer; Tom Manteuffel; et al. (SIAM J. Sci. Comput., 2011)

Parallel adaptive mesh refinement for first-order system least squares. - Marian Brezina; José García; Thomas A. Manteuffel; Stephen F. McCormick; John W. Ruge; Lei Tang (Numer. Linear Algebra Appl., 2012)

Relaxation-corrected bootstrap algebraic multigrid (rBAMG). - Marian Brezina; Christian Ketelsen; Thomas A. Manteuffel; Stephen F. McCormick; Minho Park 006; John W. Ruge (Numer. Linear Algebra Appl., 2012)

Hybrid First-Order System Least Squares Finite Element Methods with Application to Stokes Equations. - Kuo Liu; Thomas A. Manteuffel; Stephen F. McCormick; John W. Ruge; Lei Tang (SIAM J. Numer. Anal., 2013)

Island Coalescence Using Parallel First-Order System Least Squares on Incompressible Resistive Magnetohydrodynamics. - James H. Adler; Marian Brezina; Thomas A. Manteuffel; Stephen F. McCormick; John W. Ruge; Lei Tang (SIAM J. Sci. Comput., 2013)

Smoothed aggregation algebraic multigrid for stochastic PDE problems with layered materials. - Marian Brezina; Alireza Doostan; Tom Manteuffel; Steve F. McCormick; John W. Ruge (Numer. Linear Algebra Appl., 2014)

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)

Smoothed aggregation multigrid for cloth simulation. - Rasmus Tamstorf; Toby Jones; Stephen F. McCormick (ACM Trans. Graph., 2015)

A low-communication, parallel algorithm for solving PDEs based on range decomposition. - David J. Appelhans; Tom Manteuffel; Stephen F. McCormick; John W. Ruge (Numer. Linear Algebra Appl., 2017)

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

Weak Boundary Condition Enforcement for Linear Kirchhoff-Love Shells: Formulation, Error Analysis, and Verification. - Joseph Benzaken; John A. Evans; Stephen F. McCormick; Rasmus Tamstorf (CoRR, 2020)

Algebraic Error Analysis for Mixed-Precision Multigrid Solvers. - Stephen F. McCormick; Joseph Benzaken; Rasmus Tamstorf (SIAM J. Sci. Comput., 2021)

Discretization-Error-Accurate Mixed-Precision Multigrid Solvers. - Rasmus Tamstorf; Joseph Benzaken; Stephen F. McCormick (SIAM J. Sci. Comput., 2021)

Multigrid Methods Using Block Floating Point Arithmetic. - Nils Kohl; Stephen F. McCormick; Rasmus Tamstorf (SIAM J. Sci. Comput., 2024)

Rounding-Error Analysis of Multigrid ({V} )-Cycles. - Stephen F. McCormick; Rasmus Tamstorf (SIAM J. Sci. Comput., 2024)