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Steve F. McCormick
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Books and Theses
- 2000
[b3]William L. Briggs, Van Emden Henson, Stephen F. McCormick:
A multigrid tutorial, Second Edition. SIAM 2000, ISBN 978-0-89871-462-3, pp. I-XII, 1-193- 1992
- [b2]Stephen F. McCormick:
Multilevel projection methods for partial differential equations. CBMS-NSF regional conference series in applied mathematics 62, SIAM 1992, ISBN 978-0-89871-292-6, pp. I-VI, 1-114 - 1989
- [b1]Stephen F. McCormick:
Multilevel adaptive methods for partial differential equations. Frontiers in applied mathematics 6, SIAM 1989, ISBN 978-0-89871-247-6, pp. I-IX, 1-162
Journal Articles
- 2021
- [j75]Stephen F. McCormick, Joseph Benzaken, Rasmus Tamstorf
:
Algebraic Error Analysis for Mixed-Precision Multigrid Solvers. SIAM J. Sci. Comput. 43(5): S392-S419 (2021) - [j74]Rasmus Tamstorf, Joseph Benzaken, Stephen F. McCormick:
Discretization-Error-Accurate Mixed-Precision Multigrid Solvers. SIAM J. Sci. Comput. 43(5): S420-S447 (2021) - 2017
- [j73]David J. Appelhans, Tom Manteuffel, Stephen F. McCormick, John W. Ruge:
A low-communication, parallel algorithm for solving PDEs based on range decomposition. Numer. Linear Algebra Appl. 24(3) (2017) - 2015
- [j72]R. Bank, Robert D. Falgout, Toby Jones, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge:
Algebraic Multigrid Domain and Range Decomposition (AMG-DD/AMG-RD). SIAM J. Sci. Comput. 37(5) (2015) - [j71]Rasmus Tamstorf, Toby Jones, Stephen F. McCormick:
Smoothed aggregation multigrid for cloth simulation. ACM Trans. Graph. 34(6): 245:1-245:13 (2015) - 2014
- [j70]Marian Brezina, Alireza Doostan, Tom Manteuffel, Steve F. McCormick, John W. Ruge:
Smoothed aggregation algebraic multigrid for stochastic PDE problems with layered materials. Numer. Linear Algebra Appl. 21(2): 239-255 (2014) - 2013
- [j69]Kuo Liu, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge, Lei Tang:
Hybrid First-Order System Least Squares Finite Element Methods with Application to Stokes Equations. SIAM J. Numer. Anal. 51(4): 2214-2237 (2013) - [j68]James H. Adler, Marian Brezina, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge, Lei Tang:
Island Coalescence Using Parallel First-Order System Least Squares on Incompressible Resistive Magnetohydrodynamics. SIAM J. Sci. Comput. 35(5) (2013) - 2012
- [j67]Marian Brezina, Christian Ketelsen, Thomas A. Manteuffel, Stephen F. McCormick, Minho Park, John W. Ruge:
Relaxation-corrected bootstrap algebraic multigrid (rBAMG). Numer. Linear Algebra Appl. 19(2): 178-193 (2012) - [j66]Marian Brezina, José García, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge, Lei Tang:
Parallel adaptive mesh refinement for first-order system least squares. Numer. Linear Algebra Appl. 19(2): 343-366 (2012) - 2011
- [j65]J. H. Adler, Thomas A. Manteuffel, Stephen F. McCormick, J. W. Nolting, John W. Ruge, Lei Tang:
Efficiency Based Adaptive Local Refinement for First-Order System Least-Squares Formulations. SIAM J. Sci. Comput. 33(1): 1-24 (2011) - [j64]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, Steve F. McCormick, David J. Silvester, Homer F. Walker:
Special Section: 2010 Copper Mountain Conference. SIAM J. Sci. Comput. 33(5): 2685 (2011) - 2010
- [j63]Jeffrey J. Heys, Thomas A. Manteuffel, Stephen F. McCormick, Michele Milano, John Westerdale, Marek Belohlavek:
Weighted least-squares finite elements based on particle imaging velocimetry data. J. Comput. Phys. 229(1): 107-118 (2010) - [j62]Thomas A. Manteuffel, Steve F. McCormick, Joshua Nolting, John W. Ruge, Geoffrey Sanders:
Further results on error estimators for local refinement with first-order system least squares (FOSLS). Numer. Linear Algebra Appl. 17(2-3): 387-413 (2010) - [j61]Tom Manteuffel, Steve F. McCormick, Minho Park, John W. Ruge:
Operator-based interpolation for bootstrap algebraic multigrid. Numer. Linear Algebra Appl. 17(2-3): 519-537 (2010) - [j60]Christian Ketelsen, Tom Manteuffel, Steve F. McCormick, John W. Ruge:
Finite element methods for quantum electrodynamics using a Helmholtz decomposition of the gauge field. Numer. Linear Algebra Appl. 17(2-3): 539-556 (2010) - [j59]Marian Brezina, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge, Geoffrey Sanders:
Towards Adaptive Smoothed Aggregation (AlphaSA) for Nonsymmetric Problems. SIAM J. Sci. Comput. 32(1): 14-39 (2010) - [j58]Hans De Sterck, Thomas A. Manteuffel, Stephen F. McCormick, Killian Miller, J. Pearson, John W. Ruge, Geoffrey Sanders:
Smoothed Aggregation Multigrid for Markov Chains. SIAM J. Sci. Comput. 32(1): 40-61 (2010) - [j57]J. H. Adler, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge:
First-Order System Least Squares for Incompressible Resistive Magnetohydrodynamics. SIAM J. Sci. Comput. 32(1): 229-248 (2010) - [j56]James J. Brannick, Christian Ketelsen, Thomas A. Manteuffel, Stephen F. McCormick:
Least-Squares Finite Element Methods for Quantum Electrodynamics. SIAM J. Sci. Comput. 32(1): 398-417 (2010) - [j55]Hans De Sterck, Thomas A. Manteuffel, Stephen F. McCormick, Killian Miller, John W. Ruge, Geoffrey Sanders:
Algebraic Multigrid for Markov Chains. SIAM J. Sci. Comput. 32(2): 544-562 (2010) - [j54]J. H. Adler, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge, Geoffrey D. Sanders:
Nested Iteration and First-Order System Least Squares for Incompressible, Resistive Magnetohydrodynamics. SIAM J. Sci. Comput. 32(3): 1506-1526 (2010) - 2009
- [j53]Jeffrey J. Heys, Eunjung Lee, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge:
Enhanced Mass Conservation in Least-Squares Methods for Navier-Stokes Equations. SIAM J. Sci. Comput. 31(3): 2303-2321 (2009) - 2008
- [j52]Hans De Sterck, Thomas A. Manteuffel, Stephen F. McCormick, Joshua Nolting, John W. Ruge, Lei Tang:
Efficiency-based h- and hp-refinement strategies for finite element methods. Numer. Linear Algebra Appl. 15(2-3): 89-114 (2008) - [j51]Marian Brezina, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge, Geoffrey Sanders, Panayot S. Vassilevski:
A generalized eigensolver based on smoothed aggregation (GES-SA) for initializing smoothed aggregation (SA) multigrid. Numer. Linear Algebra Appl. 15(2-3): 249-269 (2008) - [j50]Hans De Sterck, Thomas A. Manteuffel, Stephen F. McCormick, Quoc Nguyen, John W. Ruge:
Multilevel Adaptive Aggregation for Markov Chains, with Application to Web Ranking. SIAM J. Sci. Comput. 30(5): 2235-2262 (2008) - 2007
- [j49]Jeffrey J. Heys, Eunjung Lee, Thomas A. Manteuffel, Stephen F. McCormick:
An alternative least-squares formulation of the Navier-Stokes equations with improved mass conservation. J. Comput. Phys. 226(1): 994-1006 (2007) - [j48]Britton Chang, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge, B. Sheehan:
Spatial Multigrid for Isotropic Neutron Transport. SIAM J. Sci. Comput. 29(5): 1900-1917 (2007) - 2006
- [j47]Stephen F. McCormick, Ulrich Rüde:
Guest Editors' Introduction: Multigrid Computing. Comput. Sci. Eng. 8(6): 10-11 (2006) - [j46]James J. Brannick, Marian Brezina, Scott P. MacLachlan, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge:
An energy-based AMG coarsening strategy. Numer. Linear Algebra Appl. 13(2-3): 133-148 (2006) - [j45]Sang Dong Kim, Chang-Ock Lee, Thomas A. Manteuffel, Stephen F. McCormick, Oliver Röhrle:
First-order system least squares for the Oseen equations. Numer. Linear Algebra Appl. 13(7): 523-542 (2006) - [j44]Scott P. MacLachlan, Tom Manteuffel, Steve F. McCormick:
Adaptive reduction-based AMG. Numer. Linear Algebra Appl. 13(8): 599-620 (2006) - [j43]Thomas A. Manteuffel, Stephen F. McCormick, Oliver Röhrle, John W. Ruge:
Projection Multilevel Methods for Quasilinear Elliptic Partial Differential Equations: Numerical Results. SIAM J. Numer. Anal. 44(1): 120-138 (2006) - [j42]Thomas A. Manteuffel, Stephen F. McCormick, Oliver Röhrle:
Projection Multilevel Methods for Quasilinear Elliptic Partial Differential Equations: Theoretical Results. SIAM J. Numer. Anal. 44(1): 139-152 (2006) - [j41]Thomas A. Manteuffel, Stephen F. McCormick, J. G. Schmidt, C. R. Westphal:
First-Order System Least Squares for Geometrically Nonlinear Elasticity. SIAM J. Numer. Anal. 44(5): 2057-2081 (2006) - [j40]Marian Brezina, Robert D. Falgout, Scott P. MacLachlan, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge:
Adaptive Algebraic Multigrid. SIAM J. Sci. Comput. 27(4): 1261-1286 (2006) - [j39]Jeffrey J. Heys, Eunjung Lee, Thomas A. Manteuffel, Stephen F. McCormick:
On Mass-Conserving Least-Squares Methods. SIAM J. Sci. Comput. 28(5): 1675-1693 (2006) - 2005
- [j38]Stephen F. McCormick:
Projection Multilevel Methods for Quasi-linear PDEs: V-cycle Theory. Multiscale Model. Simul. 4(4): 1339-1348 (2005) - [j37]Markus Berndt, Thomas A. Manteuffel, Stephen F. McCormick, Gerhard Starke:
Analysis of First-Order System Least Squares (FOSLS) for Elliptic Problems with Discontinuous Coefficients: Part I. SIAM J. Numer. Anal. 43(1): 386-408 (2005) - [j36]Markus Berndt, Thomas A. Manteuffel, Stephen F. McCormick:
Analysis of First-Order System Least Squares (FOSLS) for Elliptic Problems with Discontinuous Coefficients: Part II. SIAM J. Numer. Anal. 43(1): 409-436 (2005) - [j35]Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge, J. G. Schmidt:
First-Order System LL* (FOSLL*) for General Scalar Elliptic Problems in the Plane. SIAM J. Numer. Anal. 43(5): 2098-2120 (2005) - [j34]Marian Brezina, Robert D. Falgout, Scott P. MacLachlan, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge:
Adaptive Smoothed Aggregation (AlphaSA) Multigrid. SIAM Rev. 47(2): 317-346 (2005) - [j33]Hans De Sterck, Thomas A. Manteuffel, Stephen F. McCormick, Luke N. Olson:
Numerical Conservation Properties of H(div)-Conforming Least-Squares Finite Element Methods for the Burgers Equation. SIAM J. Sci. Comput. 26(5): 1573-1597 (2005) - 2004
- [j32]Travis M. Austin, Thomas A. Manteuffel, Steve F. McCormick:
A robust multilevel approach for minimizing H(div)-dominated functionals in an H1-conforming finite element space. Numer. Linear Algebra Appl. 11(2-3): 115-140 (2004) - [j31]Barry Lee, Stephen F. McCormick, Bobby Philip, Daniel J. Quinlan:
Asynchronous Fast Adaptive Composite-Grid Methods for Elliptic Problems: Theoretical Foundations. SIAM J. Numer. Anal. 42(1): 130-152 (2004) - [j30]H. R. MacMillan, Thomas A. Manteuffel, Stephen F. McCormick:
First-Order System Least Squares and Electrical Impedance Tomography. SIAM J. Numer. Anal. 42(2): 461-483 (2004) - [j29]Marian Brezina, Robert D. Falgout, Scott P. MacLachlan, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge:
Adaptive Smoothed Aggregation (αSA). SIAM J. Sci. Comput. 25(6): 1896-1920 (2004) - [j28]Hans De Sterck, Thomas A. Manteuffel, Stephen F. McCormick, Luke N. Olson:
Least-Squares Finite Element Methods and Algebraic Multigrid Solvers for Linear Hyperbolic PDEs. SIAM J. Sci. Comput. 26(1): 31-54 (2004) - 2003
- [j27]Thomas A. Manteuffel, Stephen F. McCormick, Christoph Pflaum:
Improved discretization error estimates for first-order system least squares. J. Num. Math. 11(2): 163-177 (2003) - [j26]A. L. Codd, Thomas A. Manteuffel, Stephen F. McCormick:
Multilevel First-Order System Least Squares for Nonlinear Elliptic Partial Differential Equations. SIAM J. Numer. Anal. 41(6): 2197-2209 (2003) - [j25]A. L. Codd, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge:
Multilevel First-Order System Least Squares for Elliptic Grid Generation. SIAM J. Numer. Anal. 41(6): 2210-2232 (2003) - [j24]Tim Chartier, Robert D. Falgout, Van Enden Henson, Jim E. Jones, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge, Panayot S. Vassilevski:
Spectral AMGe (ρAMGe). SIAM J. Sci. Comput. 25(1): 1-26 (2003) - [j23]Barry Lee, Stephen F. McCormick, Bobby Philip, Daniel J. Quinlan:
Asynchronous Fast Adaptive Composite-Grid Methods: Numerical Results. SIAM J. Sci. Comput. 25(2): 682-700 (2003) - 2001
- [j22]Zhiqiang Cai, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge:
First-Order System \CL\CL* (FOSLL*): Scalar Elliptic Partial Differential Equations. SIAM J. Numer. Anal. 39(4): 1418-1445 (2001) - [j21]Marian Brezina, Andrew J. Cleary, Robert D. Falgout, Van Enden Henson, Jim E. Jones, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge:
Algebraic Multigrid Based on Element Interpolation (AMGe). SIAM J. Sci. Comput. 22(5): 1570-1592 (2001) - 2000
- [j20]Sang Dong Kim, Thomas A. Manteuffel, Stephen F. McCormick:
First-Order System Least Squares (FOSLS) for Spatial Linear Elasticity: Pure Traction. SIAM J. Numer. Anal. 38(5): 1454-1482 (2000) - [j19]Zhiqiang Cai, Chang-Ock Lee, Thomas A. Manteuffel, Stephen F. McCormick:
First-Order System Least Squares For Linear Elasticity: Numerical Results. SIAM J. Sci. Comput. 21(5): 1706-1727 (2000) - [j18]Zhiqiang Cai, Chang-Ock Lee, Thomas A. Manteuffel, Stephen F. McCormick:
First-Order System Least Squares for the Stokes and Linear Elasticity Equations: Further Results. SIAM J. Sci. Comput. 21(5): 1728-1739 (2000) - [j17]Andrew J. Cleary, Robert D. Falgout, Van Emden Henson, Jim E. Jones, Thomas A. Manteuffel, Stephen F. McCormick, Gerald N. Miranda, John W. Ruge:
Robustness and Scalability of Algebraic Multigrid. SIAM J. Sci. Comput. 21(5): 1886-1908 (2000) - [j16]Barry Lee, Thomas A. Manteuffel, Stephen F. McCormick, John W. Ruge:
First-Order System Least-Squares for the Helmholtz Equation. SIAM J. Sci. Comput. 21(5): 1927-1949 (2000) - [j15]John W. Ruge, Yong Li, Steve F. McCormick, Achi Brandt, J. R. Bates:
A Nonlinear Multigrid Solver for a Semi-Lagrangian Potential Vorticity-Based Shallow-Water Model on the Sphere. SIAM J. Sci. Comput. 21(6): 2381-2395 (2000) - 1998
- [j14]Jean Michel Fiard, Thomas A. Manteuffel, Stephen F. McCormick:
First-Order System Least Squares (FOSLS) for Convection-Diffusion Problems: Numerical Results. SIAM J. Sci. Comput. 19(6): 1958-1979 (1998) - 1996
- [j13]Van Emden Henson, Mark A. Limber, Stephen F. McCormick, Bruce T. Robinson:
Multilevel Image Reconstruction with Natural Pixels. SIAM J. Sci. Comput. 17(1): 193-216 (1996) - [j12]Thomas A. Manteuffel, Stephen F. McCormick, Jim Morel, G. Yang:
A Fast Multigrid Algorithm for Isotropic Transport Problems. II: With Absorption. SIAM J. Sci. Comput. 17(6): 1449-1474 (1996) - 1995
- [j11]Thomas A. Manteuffel, Stephen F. McCormick, Jim Morel, Suely Oliveira, G. Yang:
A Fast Multigrid Algorithm for Isotropic Transport Problems I: Pure Scattering. SIAM J. Sci. Comput. 16(3): 601-635 (1995) - 1994
- [j10]Tom Manteuffel, Steve F. McCormick:
Special Section on Iterative Methods in Numerical Linear Algebra. SIAM J. Sci. Comput. 15(2): 295-296 (1994) - [j9]Tom Manteuffel, Steve F. McCormick, Jim Morel, Suely Oliveira, G. Yang:
A Parallel Version of a Multigrid Algorithm for Isotropic Transport Equations. SIAM J. Sci. Comput. 15(2): 474-493 (1994) - [j8]Tom Manteuffel, Steve F. McCormick:
Special Section on Iterative Methods in Numerical Linear Algebra. SIAM J. Sci. Comput. 15(3): 545-546 (1994) - 1990
- [j7]Stephen F. McCormick, Ulrich Rüde:
On Local Refinement Higher Order Methods for Elliptic Partial Differential Equations. Int. J. High Speed Comput. 2(4): 311-334 (1990) - 1989
- [j6]Zhiqiang Cai, Steve F. McCormick:
Computational Complexity of the Schwarz Alternating Procedure. Int. J. High Speed Comput. 1(1): 1-28 (1989) - [j5]Leslie Hart, Stephen F. McCormick:
Asynchronous multilevel adaptive methods for solving partial differential equations on multiprocessors: basic ideas. Parallel Comput. 12(2): 131-144 (1989) - [j4]Stephen F. McCormick, Daniel J. Quinlan:
Asynchronous multilevel adaptive methods for solving partial differential equations on multiprocessors: performance results. Parallel Comput. 12(2): 145-156 (1989) - 1979
- [j3]Eugene L. Allgower, Stephen F. McCormick, Daniel V. Pryor:
A general mesh independence principle for Newton's method applied to second order boundary value problems. Computing 23(3): 233-246 (1979) - 1976
- [j2]Steve F. McCormick:
Some Convergence Results on the Method of Gradients for Ax = lambda Bx. J. Comput. Syst. Sci. 13(2): 213-222 (1976) - 1972
- [j1]Steve F. McCormick:
A General Approach to One-Step Iterative Methods with Application to Eigenvalue Problems. J. Comput. Syst. Sci. 6(4): 354-372 (1972)
Conference and Workshop Papers
- 2009
- [c3]J. H. Adler, Thomas A. Manteuffel, Stephen F. McCormick, J. W. Nolting, John W. Ruge, Lei Tang:
An Efficiency-Based Adaptive Refinement Scheme Applied to Incompressible, Resistive Magnetohydrodynamics. LSSC 2009: 1-13 - 1976
- [c2]M. Andrews, Stephen F. McCormick, G. D. Taylor, James L. Noyes, Hatem M. Khalil, Dana L. Ulery, James E. Kalan:
SIGMAP/SIGSAM/SIGNUM(Paper Session). ACM Annual Conference 1976: 184 - [c1]M. Andrews, Stephen F. McCormick, G. D. Taylor:
Evaluation of the square root function on microprocessors. ACM Annual Conference 1976: 185-191
Informal and Other Publications
- 2023
- [i7]Nils Kohl, Stephen F. McCormick, Rasmus Tamstorf:
Multigrid Methods using Block Floating Point Arithmetic. CoRR abs/2307.00124 (2023) - [i6]Stephen F. McCormick, Rasmus Tamstorf:
Rounding-Error Analysis of Multigrid V-Cycles. CoRR abs/2307.00216 (2023) - 2020
- [i5]Joseph Benzaken, John A. Evans, Stephen F. McCormick, Rasmus Tamstorf:
Weak Boundary Condition Enforcement for Linear Kirchhoff-Love Shells: Formulation, Error Analysis, and Verification. CoRR abs/2007.01279 (2020) - [i4]Stephen F. McCormick, Joseph Benzaken, Rasmus Tamstorf:
Algebraic error analysis for mixed-precision multigrid solvers. CoRR abs/2007.06614 (2020) - [i3]Rasmus Tamstorf, Joseph Benzaken, Stephen F. McCormick:
Discretization-error-accurate mixed-precision multigrid solvers. CoRR abs/2007.06628 (2020) - 2019
- [i2]Wayne B. Mitchell, Robert Strzodka, Robert D. Falgout, Stephen F. McCormick:
Parallel Performance of Algebraic Multigrid Domain Decomposition (AMG-DD). CoRR abs/1906.10575 (2019) - 1990
- [i1]Stephen F. McCormick, Ulrich Rüde:
On local refinement higher order methods for elliptic partial differential equations. Forschungsberichte, TU Munich TUM I 9034: 1-22 (1990)
Coauthor Index
Thomas A. Manteuffel
aka: Tom Manteuffel
aka: Tom Manteuffel
[j73] [j72] [j70] [j69] [j68] [j67] [j66] [j65] [j64] [j63] [j62] [j61] [j60] [j59] [j58] [j57] [j56] [j55] [j54] [j53] [j52] [j51] [j50] [j49] [j48] [j46] [j45] [j44] [j43] [j42] [j41] [j40] [j39] [j37] [j36] [j35] [j34] [j33] [j32] [j30] [j29] [j28] [j27] [j26] [j25] [j24] [j22] [j21] [j20] [j19] [j18] [j17] [j16] [j14] [j12] [j11] [j10] [j9] [j8] [c3]
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