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Manteuffel, Thomas A.

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Author ID: manteuffel.thomas-a Recent zbMATH articles by "Manteuffel, Thomas A."
Published as: Manteuffel, Thomas A.; Manteuffel, T. A.; Manteuffel, T.; Manteuffel, Tom; Manteuffel, Thomas
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Co-Authors

9 single-authored
69 McCormick, Steve Fahrney
20 Ruge, J.
16 Ruge, John W.
11 Brezina, Marian
9 Cai, Zhiqiang
9 White, Andrew B. jun.
8 Faber, Vance
8 Falgout, Robert D.
8 Sanders, Geoffrey D.
7 Adler, James H.
7 De Sterck, Hans
7 Heys, Jeffrey J.
7 Lee, Eunjung
7 Tang, Lei
6 Olson, Luke N.
5 Ashby, Steven F.
5 MacLachlan, Scott P.
5 Parter, Seymour V.
4 Ketelsen, Christian
4 Nolting, Joshua W.
4 Otto, James S.
4 Schroder, Jacob B.
4 Southworth, Ben S.
4 Starke, Gerhard
4 Westphal, Chad R.
3 Austin, Travis M.
3 Barth, Teri L.
3 Berndt, Markus
3 Brannick, James J.
3 Lee, Chang-Ock
3 Miller, Killian
3 Münzenmaier, Steffen
3 Röhrle, Oliver
3 Saylor, Paul E.
3 Yavneh, Irad
2 Belohlavek, Marek
2 Benzi, Michele
2 Bochev, Pavel B.
2 Cai, Xiao-Chuan
2 Chin, Raymond C. Y.
2 Codd, A. L.
2 Duff, Iain S.
2 Elman, Howard C.
2 Fox, Alyson L.
2 Henson, Van Emden
2 Jones, Jim E.
2 Jordan, Kirk E.
2 Joubert, Wayne D.
2 Kelley, Tim
2 Kilmer, Misha E.
2 Kim, Sangdong
2 Lee, Barry
2 Leibs, Christopher A.
2 Leyffer, Sven
2 Liu, Kuo
2 Rajaram, Harihar
2 Ressel, Klaus J.
2 Schmidt, Jens Georg
2 Silvester, David J.
2 Tuminaro, Ray S.
2 Vassilevski, Panayot Spirov
2 Walker, Homer F.
2 Wendroff, Burton
2 Woodward, Carol S.
1 Appelhans, David J.
1 Baker, Allison H.
1 Bru, Rafael
1 Chartier, Timothy P.
1 Chaudhry, Jehanzeb Hameed
1 Chow, Edmond G. W.
1 Chung, Fan
1 Cleary, Andrew J.
1 Cyr, Eric C.
1 de Pillis, John
1 Doostan, Alireza
1 Emerson, D. B.
1 Fiard, J. M.
1 Freund, Roland W.
1 Ginestar, Damián
1 Goldstein, Charles I.
1 Holst, Michael J.
1 Hyman, James M.
1 Jamroz, Ben
1 Jessup, Elizabeth R.
1 Jhurani, Chetan
1 Kalchev, Delyan Z.
1 Keyes, David Elliot
1 Knill, Emanuel
1 Knoll, Dana A.
1 Kreiss, Heinz-Otto
1 Lazarov, Raytcho D.
1 Leibs, Chris
1 Levermore, C. David
1 Liu, Chun
1 Livshits, Irene
1 Maclachlan, Colin
1 MacMillan, Hugh R.
1 Mas, José
1 McMahon, Eileen M.
1 Mitchell, Wayne B.
...and 15 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

128 Publications have been cited 2,031 times in 1,212 Documents Cited by Year
First-order system least squares for second-order partial differential equations. I. Zbl 0813.65119
Cai, Z.; Lazarov, R.; Manteuffel, T. A.; McCormick, S. F.
127
1994
The Tchebychev iteration for nonsymmetric linear systems. Zbl 0361.65024
Manteuffel, Thomas A.
113
1977
An incomplete factorization technique for positive definite linear systems. Zbl 0422.65018
Manteuffel, T. A.
85
1980
First-order system least squares for second-order partial differential equations: Part II. Zbl 0912.65089
Cai, Zhiqiang; Manteuffel, Thomas A.; McCormick, Stephen F.
79
1997
First-order system least squares for the Stokes equations, with application to linear elasticity. Zbl 0901.76052
Cai, Z.; Manteuffel, T. A.; McCormick, S. F.
71
1997
A taxonomy for conjugate gradient methods. Zbl 0723.65018
Ashby, Steven F.; Manteuffel, Thomas A.; Saylor, Paul E.
67
1990
Necessary and sufficient conditions for the existence of a conjugate gradient method. Zbl 0546.65010
Faber, Vance; Manteuffel, Thomas
66
1984
The numerical solution of second order boundary value problems on nonuniform meshes. Zbl 0635.65092
Manteuffel, Thomas A.; White, Andrew B. jun.
56
1986
Supra-convergent schemes on irregular grids. Zbl 0619.65055
Kreiss, H.-O.; Manteuffel, T. A.; Swartz, B.; Wendroff, B.; White, A. B. jun.
53
1986
Adaptive procedure for estimating parameters for the nonsymmetric Tchebychev iteration. Zbl 0413.65032
Manteuffel, Thomas A.
50
1978
Analysis of velocity-flux first-order system least-squares principles for the Navier-Stokes equations. I. Zbl 0910.76032
Bochev, P.; Cai, Z.; Manteuffel, T. A.; McCormick, S. F.
45
1998
Adaptive smoothed aggregation (\(\alpha\)SA) multigrid. Zbl 1075.65042
Brezina, M.; Falgout, R.; MacLachlan, S.; Manteuffel, T.; McCormick, S.; Ruge, J.
38
2005
Robustness and scalability of algebraic multigrid. Zbl 0959.65049
Cleary, Andrew J.; Falgout, Robert D.; Henson, Van Emden; Jones, Jim E.; Manteuffel, Thomas A.
37
2000
Spectral AMGe (\(\rho\)AMGe). Zbl 1057.65096
Chartier, T.; Falgout, R. D.; Henson, V. E.; Jones, J.; Manteuffel, T.; McCormick, S.; Ruge, J.; Vassilevski, P. S.
37
2003
A technique for accelerating the convergence of restarted GMRES. Zbl 1086.65025
Baker, A. H.; Jessup, E. R.; Manteuffel, T.
36
2005
Adaptive algebraic multigrid. Zbl 1100.65025
Brezina, M.; Falgout, R.; MacLachlan, C.; Manteuffel, T. A.; McCormick, S.; Ruge, J.
34
2006
Algebraic multigrid for higher-order finite elements. Zbl 1060.65673
Heys, J. J.; Manteuffel, T. A.; McCormick, S. F.; Olson, L. N.
34
2005
Preconditioning and boundary conditions. Zbl 0713.65064
Manteuffel, Thomas A.; Parter, Seymour V.
32
1990
On the theory of equivalent operators and application to the numerical solution of uniformly elliptic partial differential equations. Zbl 0718.65043
Faber, V.; Manteuffel, Thomas A.; Parter, Seymour V.
28
1990
Analysis of velocity-flux least-squares principles for the Navier-Stokes equations. II. Zbl 0960.76044
Bochev, Pavel; Manteuffel, Thomas A.; McCormick, Stephen F.
24
1999
First-order system least squares for velocity-vorticity-pressure form of the Stokes equations, with application to linear elasticity. Zbl 0856.76010
Cai, Zhiqiang; Manteuffel, Thomas A.; McCormick, Stephen F.
23
1995
Least-squares finite element methods and algebraic multigrid solvers for linear hyperbolic PDEs. Zbl 1105.65346
De Sterck, H.; Manteuffel, Thomas A.; McCormick, Stephen F.; Olson, Luke
23
2004
An upper bound on the diameter of a graph from eigenvalues associated with its Laplacian. Zbl 0808.05072
Chung, F. R. K.; Faber, V.; Manteuffel, Thomas A.
23
1994
Multilevel adaptive aggregation for Markov chains, with application to web ranking. Zbl 1173.65028
de Sterck, H.; Manteuffel, Thomas A.; McCormick, Stephen F.; Nguyen, Quoc; Ruge, John
21
2008
Supplement to the numerical solution of second order boundary value problems on nonuniform meshes. Zbl 0635.65093
Manteuffel, Thomas A.; White, Andrew B. jun.
20
1986
Adaptive polynomial preconditioning for Hermitian indefinite linear systems. Zbl 0688.65024
Ashby, Steven F.; Manteuffel, Thomas A.; Saylor, Paul E.
20
1989
Towards adaptive smoothed aggregation (\(\alpha\)SA) for nonsymmetric problems. Zbl 1210.65075
Brezina, M.; Manteuffel, T.; McCormick, S.; Ruge, J.; Sanders, G.
20
2010
First-order system least-squares for the Helmholtz equation. Zbl 0957.65097
Lee, B.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J.
20
2000
Local error estimates and adaptive refinement for first-order system least squares (FOSLS). Zbl 0889.65112
Berndt, Markus; Manteuffel, Thomas A.; McCormick, Stephen F.
20
1997
Orthogonal error methods. Zbl 0613.65030
Faber, Vance; Manteuffel, Thomas A.
19
1987
First-order system least squares (FOSLS) for planar linear elasticity: Pure traction problem. Zbl 0968.74061
Cai, Zhiqiang; Manteuffel, Thomas A.; McCormick, Stephen F.; Parter, Seymour V.
19
1998
Analysis of first-order system least squares (FOSLS) for elliptic problems with discontinuous coefficients. I. Zbl 1087.65115
Berndt, Markus; Manteuffel, Thomas A.; McCormick, Stephen F.; Starke, Gerhard
17
2005
On mass-conserving least-squares methods. Zbl 1388.76052
Heys, J. J.; Lee, E.; Manteuffel, T. A.; McCormick, S. F.
17
2006
Optimal parameters for linear second-degree stationary iterative methods. Zbl 0486.65020
Manteuffel, T. A.
16
1982
Efficiency based adaptive local refinement for first-order system least-squares formulations. Zbl 1368.65227
Adler, J. H.; Manteuffel, T. A.; McCormick, S. F.; Nolting, J. W.; Ruge, J. W.; Tang, L.
16
2011
An alternative least-squares formulation of the Navier-Stokes equations with improved mass conservation. Zbl 1123.76032
Heys, J. J.; Lee, E.; Manteuffel, T. A.; McCormick, S. F.
16
2007
Adaptive smoothed aggregation (\(\alpha\)SA). Zbl 1061.65135
Brezina, M.; Falgout, R.; MacLachlan, S.; Manteuffel, T.; McCormick, S.; Ruge, J.
16
2004
First-order system \(\mathcal L\mathcal L^*\) (FOSLL*): Scalar elliptic partial differential equations. Zbl 1008.65085
Cai, Z.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J.
16
2001
Smoothed aggregation multigrid for Markov chains. Zbl 1209.65011
De Sterck, H.; Manteuffel, T. A.; Mccormick, S. F.; Miller, K.; Pearson, J.; Ruge, J.; Sanders, G.
15
2010
Weighted-norm first-order system least-squares (FOSLS) for div/curl systems with three dimensional edge singularities. Zbl 1170.65095
Lee, E.; Manteuffel, T. A.; Westphal, C. R.
15
2008
A boundary functional for the least-squares finite-element solution of neutron transport problems. Zbl 0949.65142
Manteuffel, Thomas A.; Ressel, Klaus J.; Starke, Gerhard
14
2000
An energy-based AMG coarsening strategy. Zbl 1174.65542
Brannick, J.; Brezina, M.; MacLachlan, S.; Manteuffel, T.; McCormick, S.; Ruge, J.
14
2006
The role of the inner product in stopping criteria for conjugate gradient iterations. Zbl 0984.65025
Ashby, S. F.; Holst, M. J.; Manteuffel, T. A.; Saylor, P. E.
14
2001
Weighted-norm first-order system least squares (FOSLS) for problems with corner singularities. Zbl 1129.65087
Lee, E.; Manteuffel, T. A.; Westphal, C. R.
14
2006
ADI as a preconditioning for solving the convection-diffusion equation. Zbl 0549.65068
Chin, Raymond C. Y.; Manteuffel, Thomas A.; de Pillis, John
13
1984
First-order system least squares (FOSLS) for coupled fluid-elastic problems. Zbl 1115.74320
Heys, J. J.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.
13
2004
On hybrid iterative methods for nonsymmetric systems of linear equations. Zbl 0864.65014
Manteuffel, Thomas A.; Starke, Gerhard
13
1996
Least-squares finite-element solution of the neutron transport equation in diffusive regimes. Zbl 0956.65125
Manteuffel, Thomas A.; Ressel, Klaus J.
13
1998
Numerical conservation properties of H(div)-conforming least-squares finite element methods for the Burgers equation. Zbl 1083.65092
De Sterck, H.; Manteuffel, Thomas A.; McCormick, Stephen F.; Olson, Luke
13
2005
Adaptive reduction-based AMG. Zbl 1174.65549
MacLachlan, Scott; Manteuffel, Tom; McCormick, Steve
12
2006
Optimal equivalent preconditioners. Zbl 0782.65048
Manteuffel, Thomas; Otto, James
12
1993
A robust multilevel approach for minimizing \(\mathbf H\)(div)-dominated functionals in an \(\mathbf H^1\)-conforming finite element space. Zbl 1164.65516
Austin, Travis M.; Manteuffel, Thomas A.; McCormick, Steve
12
2004
An analysis of block successive overrelaxation for a class of matrices with complex spectra. Zbl 0655.65060
Chin, R. C. Y.; Manteuffel, Thomas A.
11
1988
Enhanced mass conservation in least-squares methods for Navier-Stokes equations. Zbl 1188.76195
Heys, J. J.; Lee, E.; Manteuffel, T. A.; Mccormick, S. F.; Ruge, J. W.
11
2009
Multilevel first-order system least squares for nonlinear elliptic partial differential equations. Zbl 1130.65315
Codd, A. L.; Manteuffel, T. A.; McCormick, S. F.
11
2003
First-order system least squares (FOSLS) for convection-diffusion problems: Numerical results. Zbl 0911.65108
Fiard, J. M.; Manteuffel, T. A.; McCormick, S. F.
11
1998
On the roots of the orthogonal polynomials and residual polynomials associated with a conjugate gradient method. Zbl 0838.65031
Manteuffel, Thomas A.; Otto, James S.
11
1994
Nonsymmetric reduction-based algebraic multigrid. Zbl 1436.65027
Manteuffel, Thomas A.; MüNzenmaier, Steffen; Ruge, John; Southworth, Ben
11
2019
Nonsymmetric algebraic multigrid based on local approximate ideal restriction (\(\ell\)AIR). Zbl 1412.65130
Manteuffel, Thomas A.; Ruge, John; Southworth, Ben S.
11
2018
Minimal residual method stronger than polynomial preconditioning. Zbl 0862.65019
Faber, V.; Joubert, W.; Knill, E.; Manteuffel, T.
10
1996
First-order system LL\(^*\) (FOSLL\(^*\)) for general scalar elliptic problems in the plane. Zbl 1103.65117
Manteuffel, T. A.; McCormick, S. F.; Ruge, J.; Schmidt, J. G.
10
2005
First-order system least squares for geometrically nonlinear elasticity. Zbl 1120.74012
Manteuffel, T. A.; McCormick, S. F.; Schmidt, J. G.; Westphal, C. R.
10
2006
FOSLL\(^*\) method for the eddy current problem with three-dimensional edge singularities. Zbl 1137.78342
Lee, Eunjung; Manteuffel, Thomas A.
10
2007
First-order system least squares for incompressible resistive magnetohydrodynamics. Zbl 1410.76469
Adler, J. H.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.
9
2010
Shifted incomplete Cholesky factorization. Zbl 0406.65017
Manteuffel, Thomas A.
9
1979
Analysis of first-order system least squares (FOSLS) for elliptic problems with discontinuous coefficients. II. Zbl 1087.65114
Berndt, Markus; Manteuffel, Thomas A.; McCormick, Stephen F.
9
2005
Preconditioning and boundary conditions without \(H_ 2\) estimates: \(L_ 2\) condition numbers and the distribution of the singular values. Zbl 0773.65033
Goldstein, C. I.; Manteuffel, Thomas A.; Parter, Seymour V.
9
1993
Algebraic multigrid domain and range decomposition (AMG-DD/AMG-RD). Zbl 1325.65169
Bank, R.; Falgout, R.; Jones, T.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.
8
2015
Nested iteration and first-order system least squares for incompressible, resistive magnetohydrodynamics. Zbl 1410.76321
Adler, J. H.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.; Sanders, G. D.
8
2010
Algebraic multigrid for Markov chains. Zbl 1210.65016
De Sterck, H.; Manteuffel, T. A.; McCormick, S. F.; Miller, K.; Ruge, J.; Sanders, G.
8
2010
Weighted least-squares finite elements based on particle imaging velocimetry data. Zbl 1381.76173
Heys, J. J.; Manteuffel, T. A.; McCormick, S. F.; Milano, M.; Westerdale, J.; Belohlavek, M.
8
2010
Island coalescence using parallel first-order system least squares on incompressible resistive magnetohydrodynamics. Zbl 1282.76193
Adler, J. H.; Brezina, M.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.; Tang, L.
7
2013
Constrained optimization for liquid crystal equilibria. Zbl 1427.76028
Adler, J. H.; Emerson, D. B.; MacLachlan, S. P.; Manteuffel, T. A.
7
2016
Efficiency-based \(h\)- and \(hp\)-refinement strategies for finite element methods. Zbl 1212.65478
De Sterck, H.; Manteuffel, T.; McCormick, S.; Nolting, J.; Ruge, J.; Tang, L.
7
2008
An interval analysis approach to rank determination in linear least squares problems. Zbl 0471.65022
Manteuffel, Thomas A.
7
1981
A root-node-based algebraic multigrid method. Zbl 1392.65064
Manteuffel, Thomas A.; Olson, Luke N.; Schroder, Jacob B.; Southworth, Ben S.
7
2017
First-order system least squares for linear elasticity: Numerical results. Zbl 0988.74061
Cai, Z.; Lee, C.-O.; Manteuffel, T. A.; McCormick, S. F.
7
2000
Operator-based interpolation for bootstrap algebraic multigrid. Zbl 1240.65115
Manteuffel, T.; McCormick, S.; Park, M.; Ruge, J.
7
2010
A comparison of adaptive Chebyshev and least squares polynomial preconditioning for Hermitian positive definite linear systems. Zbl 0745.65019
Ashby, Steven F.; Manteuffel, Thomas A.; Otto, James S.
6
1992
Enhancing least-squares finite element methods through a quantity-of-interest. Zbl 1312.65186
Chaudhry, Jehanzeb Hameed; Cyr, Eric C.; Liu, Kuo; Manteuffel, Thomas A.; Olson, Luke N.; Tang, Lei
6
2014
Multiple recursion conjugate gradient algorithms part I: Sufficient conditions. Zbl 0995.65033
Barth, Teri; Manteuffel, Thomas
6
2000
First-order system least squares for the Stokes and linear elasticity equations: Further results. Zbl 0968.76035
Cai, Z.; Lee, C.-O.; Manteuffel, T. A.; McCormick, S. F.
6
2000
A fast multigrid algorithm for isotropic transport problems. I: Pure scattering. Zbl 0824.65097
Manteuffel, T.; McCormick, S.; Morel, J.; Oliveira, S.; Yang, G.
6
1995
Iterative schemes for the neutron diffusion equation. Zbl 1103.82321
Bru, R.; Ginestar, D.; Marin, J.; Verdú, G.; Mas, J.; Manteuffel, T.
6
2002
Multilevel first-order system least squares for elliptic grid generation. Zbl 1130.65317
Codd, A. L.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.
6
2003
First-order system least squares for the Oseen equations. Zbl 1198.76024
Kim, Sang Dong; Lee, Chang-Ock; Manteuffel, Thomas A.; McCormick, Stephen F.; Röhrle, Oliver
6
2006
Spatial multigrid for isotropic neutron transport. Zbl 1149.65100
Chang, B.; Manteuffel, T.; McCormick, S.; Ruge, J.; Sheehan, B.
6
2007
Smoothed aggregation algebraic multigrid for stochastic PDE problems with layered materials. Zbl 1340.65007
Brezina, Marian; Doostan, Alireza; Manteuffel, Tom; McCormick, Steve; Ruge, John
5
2014
Multigrid reduction in time for nonlinear parabolic problems: a case study. Zbl 1395.65066
Falgout, R. D.; Manteuffel, T. A.; O’Neill, B.; Schroder, J. B.
5
2017
Improved discretization error estimates for first-order system least squares. Zbl 1044.65078
Manteuffel, T.; McCormick, S.; Pflaum, C.
5
2003
On the efficient numerical solution of systems of second order boundary value problems. Zbl 0635.65091
Manteuffel, Thomas A.; White, Andrew B. jun.
4
1986
A calculus of difference schemes for the solution of boundary-value problems on irregular meshes. Zbl 0762.65048
Manteuffel, Thomas A.; White, Andrew B. jun.
4
1992
Semi-automatic sparse preconditioners for high-order finite element methods on non-uniform meshes. Zbl 1245.65032
Austin, Travis M.; Brezina, Marian; Jamroz, Ben; Jhurani, Chetan; Manteuffel, Thomas A.; Ruge, John
4
2012
A fast multigrid algorithm for isotropic transport problems. II: With absorption. Zbl 0859.65101
Manteuffel, T.; McCormick, S.; Morel, J.; Yang, G.
4
1996
Accurate discretization for singular perturbations: The one-dimensional case. Zbl 0828.65100
Hu, X. C.; Manteuffel, T. A.; McCormick, S.; Russell, T. F.
4
1995
Top-level acceleration of adaptive algebraic multilevel methods for steady-state solution to Markov chains. Zbl 1230.65013
De Sterck, H.; Miller, K.; Manteuffel, T.; Sanders, G.
4
2011
First-order system least squares and the energetic variational approach for two-phase flow. Zbl 1408.76528
Adler, J. H.; Brannick, J.; Liu, C.; Manteuffel, T.; Zikatanov, L.
4
2011
First-order system least squares and electrical impedance tomography. Zbl 1073.78020
MacMillan, H. R.; Manteuffel, T. A.; McCormick, S. F.
4
2004
Nested iteration and first-order systems least squares for a two-fluid electromagnetic Darwin model. Zbl 1325.82016
Leibs, C. A.; Manteuffel, T. A.
3
2015
FOSLL* for nonlinear partial differential equations. Zbl 1325.65155
Lee, Eunjung; Manteuffel, Thomas A.; Westphal, Chad R.
3
2015
Nonsymmetric reduction-based algebraic multigrid. Zbl 1436.65027
Manteuffel, Thomas A.; MüNzenmaier, Steffen; Ruge, John; Southworth, Ben
11
2019
Convergence in norm of nonsymmetric algebraic multigrid. Zbl 1436.65051
Manteuffel, Tom; Southworth, Ben S.
3
2019
Nonsymmetric algebraic multigrid based on local approximate ideal restriction (\(\ell\)AIR). Zbl 1412.65130
Manteuffel, Thomas A.; Ruge, John; Southworth, Ben S.
11
2018
Mixed \((\mathcal{L}\mathcal{L}^*)\) and \(\mathcal{L}\mathcal{L}^*\) least-squares finite element methods with application to linear hyperbolic problems. Zbl 06945786
Kalchev, Delyan Z.; Manteuffel, Thomas A.; Münzenmaier, Steffen
2
2018
Algebraic multigrid for directed graph Laplacian linear systems (NS-LAMG). Zbl 06945787
Fox, Alyson; Manteuffel, Thomas
1
2018
A root-node-based algebraic multigrid method. Zbl 1392.65064
Manteuffel, Thomas A.; Olson, Luke N.; Schroder, Jacob B.; Southworth, Ben S.
7
2017
Multigrid reduction in time for nonlinear parabolic problems: a case study. Zbl 1395.65066
Falgout, R. D.; Manteuffel, T. A.; O’Neill, B.; Schroder, J. B.
5
2017
A low-communication, parallel algorithm for solving PDEs based on range decomposition. Zbl 1424.65264
Appelhans, David J.; Manteuffel, Tom; McCormick, Steve; Ruge, John
1
2017
A fluidity-based first-order system least-squares method for ice sheets. Zbl 1387.86051
Allen, Jeffery; Leibs, Chris; Manteuffel, Tom; Rajaram, Harihar
1
2017
Constrained optimization for liquid crystal equilibria. Zbl 1427.76028
Adler, J. H.; Emerson, D. B.; MacLachlan, S. P.; Manteuffel, T. A.
7
2016
Algebraic multigrid domain and range decomposition (AMG-DD/AMG-RD). Zbl 1325.65169
Bank, R.; Falgout, R.; Jones, T.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.
8
2015
Nested iteration and first-order systems least squares for a two-fluid electromagnetic Darwin model. Zbl 1325.82016
Leibs, C. A.; Manteuffel, T. A.
3
2015
FOSLL* for nonlinear partial differential equations. Zbl 1325.65155
Lee, Eunjung; Manteuffel, Thomas A.; Westphal, Chad R.
3
2015
Least-squares finite element discretization of the neutron transport equation in spherical geometry. Zbl 1457.65199
Ketelsen, C.; Manteuffel, T.; Schroder, J. B.
1
2015
Enhancing least-squares finite element methods through a quantity-of-interest. Zbl 1312.65186
Chaudhry, Jehanzeb Hameed; Cyr, Eric C.; Liu, Kuo; Manteuffel, Thomas A.; Olson, Luke N.; Tang, Lei
6
2014
Smoothed aggregation algebraic multigrid for stochastic PDE problems with layered materials. Zbl 1340.65007
Brezina, Marian; Doostan, Alireza; Manteuffel, Tom; McCormick, Steve; Ruge, John
5
2014
Echocardiographic particle imaging velocimetry data assimilation with least square finite element methods. Zbl 1365.92055
Rajaraman, Prathish K.; Manteuffel, T. A.; Belohlavek, M.; McMahon, E.; Heys, Jeffrey J.
1
2014
Island coalescence using parallel first-order system least squares on incompressible resistive magnetohydrodynamics. Zbl 1282.76193
Adler, J. H.; Brezina, M.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.; Tang, L.
7
2013
Hybrid first-order system least squares finite element methods with application to Stokes equations. Zbl 1408.76368
Liu, K.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.; Tang, L.
3
2013
Semi-automatic sparse preconditioners for high-order finite element methods on non-uniform meshes. Zbl 1245.65032
Austin, Travis M.; Brezina, Marian; Jamroz, Ben; Jhurani, Chetan; Manteuffel, Thomas A.; Ruge, John
4
2012
Relaxation-corrected bootstrap algebraic multigrid (\(r\)BAMG). Zbl 1274.65269
Brezina, M.; Ketelsen, C.; Manteuffel, T.; McCormick, S.; Park, M.; Ruge, J.
3
2012
Parallel adaptive mesh refinement for first-order system least squares. Zbl 1274.65311
Brezina, M.; Garcia, J.; Manteuffel, T.; McCormick, S.; Ruge, J.; Tang, L.
3
2012
Efficiency based adaptive local refinement for first-order system least-squares formulations. Zbl 1368.65227
Adler, J. H.; Manteuffel, T. A.; McCormick, S. F.; Nolting, J. W.; Ruge, J. W.; Tang, L.
16
2011
Top-level acceleration of adaptive algebraic multilevel methods for steady-state solution to Markov chains. Zbl 1230.65013
De Sterck, H.; Miller, K.; Manteuffel, T.; Sanders, G.
4
2011
First-order system least squares and the energetic variational approach for two-phase flow. Zbl 1408.76528
Adler, J. H.; Brannick, J.; Liu, C.; Manteuffel, T.; Zikatanov, L.
4
2011
Towards adaptive smoothed aggregation (\(\alpha\)SA) for nonsymmetric problems. Zbl 1210.65075
Brezina, M.; Manteuffel, T.; McCormick, S.; Ruge, J.; Sanders, G.
20
2010
Smoothed aggregation multigrid for Markov chains. Zbl 1209.65011
De Sterck, H.; Manteuffel, T. A.; Mccormick, S. F.; Miller, K.; Pearson, J.; Ruge, J.; Sanders, G.
15
2010
First-order system least squares for incompressible resistive magnetohydrodynamics. Zbl 1410.76469
Adler, J. H.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.
9
2010
Nested iteration and first-order system least squares for incompressible, resistive magnetohydrodynamics. Zbl 1410.76321
Adler, J. H.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.; Sanders, G. D.
8
2010
Algebraic multigrid for Markov chains. Zbl 1210.65016
De Sterck, H.; Manteuffel, T. A.; McCormick, S. F.; Miller, K.; Ruge, J.; Sanders, G.
8
2010
Weighted least-squares finite elements based on particle imaging velocimetry data. Zbl 1381.76173
Heys, J. J.; Manteuffel, T. A.; McCormick, S. F.; Milano, M.; Westerdale, J.; Belohlavek, M.
8
2010
Operator-based interpolation for bootstrap algebraic multigrid. Zbl 1240.65115
Manteuffel, T.; McCormick, S.; Park, M.; Ruge, J.
7
2010
Further results on error estimators for local refinement with first-order system least squares (FOSLS). Zbl 1240.65319
Manteuffel, T.; McCormick, S.; Nolting, J.; Ruge, J.; Sanders, G.
3
2010
An efficiency-based adaptive refinement scheme applied to incompressible, resistive magnetohydrodynamics. Zbl 1280.76064
Adler, J.; Manteuffel, T.; McCormick, S.; Nolting, J.; Ruge, J.; Tang, L.
2
2010
Least-squares finite element methods for quantum electrodynamics. Zbl 1208.81201
Brannick, J.; Ketelsen, C.; Manteuffel, T.; McCormick, S.
2
2010
Enhanced mass conservation in least-squares methods for Navier-Stokes equations. Zbl 1188.76195
Heys, J. J.; Lee, E.; Manteuffel, T. A.; Mccormick, S. F.; Ruge, J. W.
11
2009
Multilevel adaptive aggregation for Markov chains, with application to web ranking. Zbl 1173.65028
de Sterck, H.; Manteuffel, Thomas A.; McCormick, Stephen F.; Nguyen, Quoc; Ruge, John
21
2008
Weighted-norm first-order system least-squares (FOSLS) for div/curl systems with three dimensional edge singularities. Zbl 1170.65095
Lee, E.; Manteuffel, T. A.; Westphal, C. R.
15
2008
Efficiency-based \(h\)- and \(hp\)-refinement strategies for finite element methods. Zbl 1212.65478
De Sterck, H.; Manteuffel, T.; McCormick, S.; Nolting, J.; Ruge, J.; Tang, L.
7
2008
A generalized eigensolver based on smoothed aggregation (GES-SA) for initializing smoothed aggregation (SA) multigrid. Zbl 1212.65149
Brezina, M.; Manteuffel, T.; McCormick, S.; Ruge, J.; Sanders, G.; Vassilevski, P.
1
2008
An alternative least-squares formulation of the Navier-Stokes equations with improved mass conservation. Zbl 1123.76032
Heys, J. J.; Lee, E.; Manteuffel, T. A.; McCormick, S. F.
16
2007
FOSLL\(^*\) method for the eddy current problem with three-dimensional edge singularities. Zbl 1137.78342
Lee, Eunjung; Manteuffel, Thomas A.
10
2007
Spatial multigrid for isotropic neutron transport. Zbl 1149.65100
Chang, B.; Manteuffel, T.; McCormick, S.; Ruge, J.; Sheehan, B.
6
2007
Adaptive algebraic multigrid. Zbl 1100.65025
Brezina, M.; Falgout, R.; MacLachlan, C.; Manteuffel, T. A.; McCormick, S.; Ruge, J.
34
2006
On mass-conserving least-squares methods. Zbl 1388.76052
Heys, J. J.; Lee, E.; Manteuffel, T. A.; McCormick, S. F.
17
2006
An energy-based AMG coarsening strategy. Zbl 1174.65542
Brannick, J.; Brezina, M.; MacLachlan, S.; Manteuffel, T.; McCormick, S.; Ruge, J.
14
2006
Weighted-norm first-order system least squares (FOSLS) for problems with corner singularities. Zbl 1129.65087
Lee, E.; Manteuffel, T. A.; Westphal, C. R.
14
2006
Adaptive reduction-based AMG. Zbl 1174.65549
MacLachlan, Scott; Manteuffel, Tom; McCormick, Steve
12
2006
First-order system least squares for geometrically nonlinear elasticity. Zbl 1120.74012
Manteuffel, T. A.; McCormick, S. F.; Schmidt, J. G.; Westphal, C. R.
10
2006
First-order system least squares for the Oseen equations. Zbl 1198.76024
Kim, Sang Dong; Lee, Chang-Ock; Manteuffel, Thomas A.; McCormick, Stephen F.; Röhrle, Oliver
6
2006
Projection multilevel methods for quasilinear elliptic partial differential equations: numerical results. Zbl 1145.65108
Manteuffel, Thomas A.; McCormick, Stephen F.; Röhrle, Oliver; Ruge, John
1
2006
A least-squares finite element method for the linear Boltzmann equation with anisotropic scattering. Zbl 1116.65118
Austin, Travis M.; Manteuffel, Thomas A.
1
2006
Adaptive smoothed aggregation (\(\alpha\)SA) multigrid. Zbl 1075.65042
Brezina, M.; Falgout, R.; MacLachlan, S.; Manteuffel, T.; McCormick, S.; Ruge, J.
38
2005
A technique for accelerating the convergence of restarted GMRES. Zbl 1086.65025
Baker, A. H.; Jessup, E. R.; Manteuffel, T.
36
2005
Algebraic multigrid for higher-order finite elements. Zbl 1060.65673
Heys, J. J.; Manteuffel, T. A.; McCormick, S. F.; Olson, L. N.
34
2005
Analysis of first-order system least squares (FOSLS) for elliptic problems with discontinuous coefficients. I. Zbl 1087.65115
Berndt, Markus; Manteuffel, Thomas A.; McCormick, Stephen F.; Starke, Gerhard
17
2005
Numerical conservation properties of H(div)-conforming least-squares finite element methods for the Burgers equation. Zbl 1083.65092
De Sterck, H.; Manteuffel, Thomas A.; McCormick, Stephen F.; Olson, Luke
13
2005
First-order system LL\(^*\) (FOSLL\(^*\)) for general scalar elliptic problems in the plane. Zbl 1103.65117
Manteuffel, T. A.; McCormick, S. F.; Ruge, J.; Schmidt, J. G.
10
2005
Analysis of first-order system least squares (FOSLS) for elliptic problems with discontinuous coefficients. II. Zbl 1087.65114
Berndt, Markus; Manteuffel, Thomas A.; McCormick, Stephen F.
9
2005
Least-squares finite element methods and algebraic multigrid solvers for linear hyperbolic PDEs. Zbl 1105.65346
De Sterck, H.; Manteuffel, Thomas A.; McCormick, Stephen F.; Olson, Luke
23
2004
Adaptive smoothed aggregation (\(\alpha\)SA). Zbl 1061.65135
Brezina, M.; Falgout, R.; MacLachlan, S.; Manteuffel, T.; McCormick, S.; Ruge, J.
16
2004
First-order system least squares (FOSLS) for coupled fluid-elastic problems. Zbl 1115.74320
Heys, J. J.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.
13
2004
A robust multilevel approach for minimizing \(\mathbf H\)(div)-dominated functionals in an \(\mathbf H^1\)-conforming finite element space. Zbl 1164.65516
Austin, Travis M.; Manteuffel, Thomas A.; McCormick, Steve
12
2004
First-order system least squares and electrical impedance tomography. Zbl 1073.78020
MacMillan, H. R.; Manteuffel, T. A.; McCormick, S. F.
4
2004
Spectral AMGe (\(\rho\)AMGe). Zbl 1057.65096
Chartier, T.; Falgout, R. D.; Henson, V. E.; Jones, J.; Manteuffel, T.; McCormick, S.; Ruge, J.; Vassilevski, P. S.
37
2003
Multilevel first-order system least squares for nonlinear elliptic partial differential equations. Zbl 1130.65315
Codd, A. L.; Manteuffel, T. A.; McCormick, S. F.
11
2003
Multilevel first-order system least squares for elliptic grid generation. Zbl 1130.65317
Codd, A. L.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J. W.
6
2003
Improved discretization error estimates for first-order system least squares. Zbl 1044.65078
Manteuffel, T.; McCormick, S.; Pflaum, C.
5
2003
A moment-parity multigrid preconditioner for the first-order system least-squares formulation of the Boltzmann transport equation. Zbl 1042.65105
Brown, P. N.; Lee, B.; Manteuffel, T. A.
1
2003
Algebraic elimination of slide surface constraints in implicit structural analysis. Zbl 1062.74650
Chow, Edmond; Manteuffel, Thomas A.; Tong, Charles; Wallin, Bradley K.
1
2003
Iterative schemes for the neutron diffusion equation. Zbl 1103.82321
Bru, R.; Ginestar, D.; Marin, J.; Verdú, G.; Mas, J.; Manteuffel, T.
6
2002
First-order system \(\mathcal L\mathcal L^*\) (FOSLL*): Scalar elliptic partial differential equations. Zbl 1008.65085
Cai, Z.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J.
16
2001
The role of the inner product in stopping criteria for conjugate gradient iterations. Zbl 0984.65025
Ashby, S. F.; Holst, M. J.; Manteuffel, T. A.; Saylor, P. E.
14
2001
Robustness and scalability of algebraic multigrid. Zbl 0959.65049
Cleary, Andrew J.; Falgout, Robert D.; Henson, Van Emden; Jones, Jim E.; Manteuffel, Thomas A.
37
2000
First-order system least-squares for the Helmholtz equation. Zbl 0957.65097
Lee, B.; Manteuffel, T. A.; McCormick, S. F.; Ruge, J.
20
2000
A boundary functional for the least-squares finite-element solution of neutron transport problems. Zbl 0949.65142
Manteuffel, Thomas A.; Ressel, Klaus J.; Starke, Gerhard
14
2000
First-order system least squares for linear elasticity: Numerical results. Zbl 0988.74061
Cai, Z.; Lee, C.-O.; Manteuffel, T. A.; McCormick, S. F.
7
2000
Multiple recursion conjugate gradient algorithms part I: Sufficient conditions. Zbl 0995.65033
Barth, Teri; Manteuffel, Thomas
6
2000
First-order system least squares for the Stokes and linear elasticity equations: Further results. Zbl 0968.76035
Cai, Z.; Lee, C.-O.; Manteuffel, T. A.; McCormick, S. F.
6
2000
First-order system least squares (FOSLS) for spatial linear elasticity: Pure traction. Zbl 0990.74068
Kim, Sang Dong; Manteuffel, Thomas A.; McCormick, Stephen F.
2
2000
Analysis of velocity-flux least-squares principles for the Navier-Stokes equations. II. Zbl 0960.76044
Bochev, Pavel; Manteuffel, Thomas A.; McCormick, Stephen F.
24
1999
Analysis of velocity-flux first-order system least-squares principles for the Navier-Stokes equations. I. Zbl 0910.76032
Bochev, P.; Cai, Z.; Manteuffel, T. A.; McCormick, S. F.
45
1998
First-order system least squares (FOSLS) for planar linear elasticity: Pure traction problem. Zbl 0968.74061
Cai, Zhiqiang; Manteuffel, Thomas A.; McCormick, Stephen F.; Parter, Seymour V.
19
1998
Least-squares finite-element solution of the neutron transport equation in diffusive regimes. Zbl 0956.65125
Manteuffel, Thomas A.; Ressel, Klaus J.
13
1998
First-order system least squares (FOSLS) for convection-diffusion problems: Numerical results. Zbl 0911.65108
Fiard, J. M.; Manteuffel, T. A.; McCormick, S. F.
11
1998
First-order system least squares for second-order partial differential equations: Part II. Zbl 0912.65089
Cai, Zhiqiang; Manteuffel, Thomas A.; McCormick, Stephen F.
79
1997
First-order system least squares for the Stokes equations, with application to linear elasticity. Zbl 0901.76052
Cai, Z.; Manteuffel, T. A.; McCormick, S. F.
71
1997
Local error estimates and adaptive refinement for first-order system least squares (FOSLS). Zbl 0889.65112
Berndt, Markus; Manteuffel, Thomas A.; McCormick, Stephen F.
20
1997
On hybrid iterative methods for nonsymmetric systems of linear equations. Zbl 0864.65014
Manteuffel, Thomas A.; Starke, Gerhard
13
1996
Minimal residual method stronger than polynomial preconditioning. Zbl 0862.65019
Faber, V.; Joubert, W.; Knill, E.; Manteuffel, T.
10
1996
A fast multigrid algorithm for isotropic transport problems. II: With absorption. Zbl 0859.65101
Manteuffel, T.; McCormick, S.; Morel, J.; Yang, G.
4
1996
Conjugate gradient algorithms using multiple recursions. Zbl 0867.65010
Barth, Teri L.; Manteuffel, Thomas A.
1
1996
First-order system least squares for velocity-vorticity-pressure form of the Stokes equations, with application to linear elasticity. Zbl 0856.76010
Cai, Zhiqiang; Manteuffel, Thomas A.; McCormick, Stephen F.
23
1995
A fast multigrid algorithm for isotropic transport problems. I: Pure scattering. Zbl 0824.65097
Manteuffel, T.; McCormick, S.; Morel, J.; Oliveira, S.; Yang, G.
6
1995
Accurate discretization for singular perturbations: The one-dimensional case. Zbl 0828.65100
Hu, X. C.; Manteuffel, T. A.; McCormick, S.; Russell, T. F.
4
1995
Adaptive \(k\)-step iterative methods for nonsymmetric systems of linear equations. Zbl 0858.65036
Manteuffel, Thomas A.; Starke, Gerhard; Varga, Richard S.
1
1995
First-order system least squares for second-order partial differential equations. I. Zbl 0813.65119
Cai, Z.; Lazarov, R.; Manteuffel, T. A.; McCormick, S. F.
127
1994
An upper bound on the diameter of a graph from eigenvalues associated with its Laplacian. Zbl 0808.05072
Chung, F. R. K.; Faber, V.; Manteuffel, Thomas A.
23
1994
On the roots of the orthogonal polynomials and residual polynomials associated with a conjugate gradient method. Zbl 0838.65031
Manteuffel, Thomas A.; Otto, James S.
11
1994
A parallel version of a multigrid algorithm for isotropic transport equations. Zbl 0799.65154
Manteuffel, T.; McCormick, S.; Morel, J.; Oliveira, S.; Yang, G.
3
1994
...and 28 more Documents
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Cited by 1,667 Authors

30 Manteuffel, Thomas A.
21 Yang, Suh-Yuh
19 Karátson, János
19 Vassilevski, Panayot Spirov
16 Hadjidimos, Apostolos
15 Axelsson, Axel Owe Holger
13 Duan, Huoyuan
12 Kim, Sangdong
12 MacLachlan, Scott P.
12 Southworth, Ben S.
11 Cai, Zhiqiang
11 Ku, Jaeun
10 Ferreira, José Augusto
10 Gerritsma, Marc I.
10 Guo, Hui
10 Lee, Eunjung
10 McCormick, Steve Fahrney
10 Schroder, Jacob B.
9 Olson, Luke N.
9 Reichel, Lothar
9 Rui, Hongxing
9 Zhang, Jun
8 Adler, James H.
8 Reddy, Junuthula Narasimha
8 Saad, Yousef
8 Schwarz, Alexander
8 Shin, Byeong Chun
8 Tan, Roger C. E.
8 Wathen, Andrew John
8 Ye, Xiu
7 Carey, Graham Francis
7 Freund, Roland W.
7 Heys, Jeffrey J.
7 Huang, Ting-Zhu
7 Kolev, Tzanio V.
7 Lee, Hsueh-Chen
7 Niethammer, Wilhelm
7 Notay, Yvan
7 Schlottbom, Matthias
7 Schröder, Jörg
6 Demkowicz, Leszek F.
6 Hessari, Peyman
6 Hu, Xiaozhe
6 Jia, Zhongxiao
6 Niu, Qiang
6 Salemi, Abbas
6 Serra-Capizzano, Stefano
6 Starke, Gerhard
6 Wall, Wolfgang A.
6 Wen, Chun
6 Yang, Danping
6 Yun, Jae Heon
6 Zikatanov, Ludmil T.
5 Avdelas, George
5 Bai, Zhongzhi
5 Benzi, Michele
5 Bochev, Pavel B.
5 Bramble, James H.
5 De Maerschalck, Bart
5 Egger, Herbert
5 Elman, Howard C.
5 Fiol, Miquel Angel
5 Gatica, Gabriel N.
5 Gee, Michael W.
5 Gutknecht, Martin H.
5 Kahl, Karsten
5 Lazarov, Raytcho D.
5 Lee, Chak Shing
5 Li, Xiezhang
5 Liesen, Jörg
5 Liu, Jinn-Liang
5 Pasciak, Joseph E.
5 Pestana, Jennifer
5 Pontaza, Juan P.
5 Pultarová, Ivana
5 Ruge, J.
5 Saylor, Paul E.
5 Strakoš, Zdeněk
5 Van der Vorst, Henk Albertus
5 Varga, Richard Steven
5 Veldman, Arthur Eduard Paul
5 Vuik, Cornelis
5 Westphal, Chad R.
5 Xiao, Yingxiong
5 Xu, Jinchao
5 Zhang, Shun
4 Barbeiro, Sílvia
4 Belohlavek, Marek
4 Brezina, Marian
4 Calo, Victor Manuel
4 Carstensen, Carsten
4 Chen, Zhangxin
4 Dahmen, Wolfgang A.
4 de Pillis, John
4 De Sterck, Hans
4 Eiermann, Michael
4 Erlangga, Yogi A.
4 Faber, Vance
4 Falgout, Robert D.
4 Fischer, Bernd
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115 Journal of Computational and Applied Mathematics
92 Journal of Computational Physics
70 Computers & Mathematics with Applications
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65 SIAM Journal on Scientific Computing
63 Applied Numerical Mathematics
62 Numerical Linear Algebra with Applications
54 Computer Methods in Applied Mechanics and Engineering
47 Numerische Mathematik
45 Applied Mathematics and Computation
29 International Journal of Computer Mathematics
28 Mathematics of Computation
26 BIT
26 Journal of Scientific Computing
25 Numerical Algorithms
18 Numerical Functional Analysis and Optimization
14 International Journal for Numerical Methods in Engineering
14 SIAM Journal on Numerical Analysis
14 Numerical Methods for Partial Differential Equations
13 SIAM Journal on Matrix Analysis and Applications
10 Computers and Fluids
9 International Journal for Numerical Methods in Fluids
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7 Computer Physics Communications
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6 Discrete Mathematics
6 Computing and Visualization in Science
6 Computational Methods in Applied Mathematics
6 Journal of Applied Mathematics and Computing
5 Calcolo
5 Mathematics and Computers in Simulation
5 Computational Mechanics
5 Applied Mathematics Letters
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Engineering Analysis with Boundary Elements
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5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4 Japan Journal of Industrial and Applied Mathematics
4 Applications of Mathematics
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4 ETNA. Electronic Transactions on Numerical Analysis
4 Advances in Computational Mathematics
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2 Acta Mathematicae Applicatae Sinica. English Series
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2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
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2 Computational & Mathematical Methods in Medicine
2 PAMM. Proceedings in Applied Mathematics and Mechanics
2 Electronic Research Archive
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1 Applicable Analysis
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