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Vassilevski, Panayot Spirov

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Author ID: vassilevski.panayot-s Recent zbMATH articles by "Vassilevski, Panayot Spirov"
Published as: Vassilevski, Panayot S.; Vassilevski, P. S.; Vassilevski, Panayot; Vassilevski, P.; Vasilevski, P.; Vassilevski, Panayot. S.; Vasilevski, Panayot; Vassilevskij, P. S.; Vasilevski, P. S.
Homepage: http://people.llnl.gov/vassilevski1
External Links: MGP · Google Scholar · dblp
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Co-Authors

30 single-authored
24 Lazarov, Raytcho D.
15 Ewing, Richard Edward
11 Axelsson, Axel Owe Holger
10 Margenov, Svetozar D.
10 Pasciak, Joseph E.
10 Villa, Umberto E.
10 Zikatanov, Ludmil T.
8 Kolev, Tzanio V.
8 Lee, Chak Shing
7 Iliev, Oleg P.
5 Dobrev, Veselin A.
5 Petrova, Svetozara I.
4 Chou, So-Hsiang
4 Kalchev, Delyan Z.
4 Osborn, Sarah V.
4 Wang, Junping
3 Barker, Andrew T.
3 Brezina, Marian
3 D’Ambra, Pasqua
3 Efendiev, Yalchin R.
3 Eijkhout, Victor L.
3 Fairbanks, Hillary R.
3 Falgout, Robert D.
3 Hu, Xiaozhe
3 Lashuk, Ilya V.
3 Neumüller, Martin
3 Rusten, Torgeir
3 Tobiska, Lutz
3 Winther, Ragnar
2 Adler, James H.
2 Carey, Graham Francis
2 Castelletto, Nicola
2 Chan, Tony Fan-Cheong
2 Griebel, Michael
2 Hamon, François P.
2 Henson, Van Emden
2 Jones, Jim E.
2 Kwak, Do Young
2 la Cour Christensen, Max
2 Makarov, Mikhail M.
2 Manteuffel, Thomas A.
2 McCormick, Steve Fahrney
2 Mishev, Ilya D.
2 Pehlivanov, A. I.
2 Ponce, Colin
2 Ruge, J.
2 Scheichl, Robert
2 Sendov, Blagovest Khristov
2 White, Joshua A.
2 Woodward, Carol S.
2 Xu, Jinchao
1 Aposporidis, Alexis
1 Ayuso de Dios, Blanca
1 Bacuta, Constantin
1 Bank, Randolph E.
1 Bindel, David S.
1 Bramble, James H.
1 Brown, Peter N.
1 Cai, Difeng
1 Cai, Xiao-Chuan
1 Cai, Zhiqiang
1 Chartier, Timothy P.
1 Chow, Edmond G. W.
1 Dimov, Ivan Todor
1 Djidjev, Hristo Nicolov
1 Engsig-Karup, Allan P.
1 Etova, Maya H.
1 Filippone, Salvatore
1 Galvis, Juan
1 Gelever, Stephan V.
1 Georgiev, Asen
1 Gu, Ming
1 Haug, Einar
1 Iontcheva, Ana H.
1 John, Volker
1 Ketelsen, Christian
1 Kim, Chisup
1 Kostova, Tanya V.
1 Kraus, Johannes K.
1 Krause, Rolf H.
1 Kuhlemann, Verena
1 Li, Xiaoye Sherry
1 Lirkov, Ivan D.
1 Marcinkowski, Leszek
1 Markov, Svetoslav Marinovich
1 Matthies, Gunar
1 Meier Yang, Ulrike
1 Minev, Peter Dimitrov
1 Mitkova, T. I.
1 Neytcheva, Maya G.
1 Notay, Yvan
1 Oeltz, Daniel
1 Polman, Ben
1 Proskurowski, Wlodek
1 Proskurowski, Włodzimierz
1 Quiring, Benjamin
1 Russell, Thomas F.
1 Sanders, Geoffrey D.
1 Schafelner, Andreas
1 Schöberl, Joachim
...and 12 more Co-Authors
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Serials

34 SIAM Journal on Scientific Computing
28 Numerical Linear Algebra with Applications
13 Doklady Bolgarskoĭ Akademii Nauk
11 SIAM Journal on Numerical Analysis
6 Mathematics of Computation
5 Numerische Mathematik
5 SIAM Journal on Matrix Analysis and Applications
5 Computational Methods in Applied Mathematics
4 Computing
3 Numerical Methods for Partial Differential Equations
3 East-West Journal of Numerical Mathematics
2 Computers & Mathematics with Applications
2 Computer Methods in Applied Mechanics and Engineering
2 BIT
2 International Journal for Numerical Methods in Engineering
2 Journal of Computational and Applied Mathematics
2 SIAM Journal on Scientific and Statistical Computing
2 Mathematica Balkanica. New Series
2 International Journal of Computer Mathematics
2 SIAM Review
2 ETNA. Electronic Transactions on Numerical Analysis
1 Journal of Computational Physics
1 ACM Transactions on Mathematical Software
1 Applied Mathematics and Computation
1 Differentsial’nye Uravneniya
1 Differential Equations
1 Moscow University Computational Mathematics and Cybernetics
1 Journal of Computational Mathematics
1 Parallel Computing
1 Applied Numerical Mathematics
1 Communications in Applied Numerical Methods
1 Applications of Mathematics
1 Computing and Visualization in Science
1 Multiscale Modeling & Simulation
1 Oberwolfach Reports
1 Advances in Adaptive Data Analysis
1 Springer Proceedings in Mathematics & Statistics
1 Godishnik na Sofiskiya Universitet. Fakultet po Matematika i Mekhanika

Publications by Year

Citations contained in zbMATH Open

145 Publications have been cited 1,764 times in 1,052 Documents Cited by Year
Multilevel block factorization preconditioners. Matrix-based analysis and algorithms for solving finite element equations. Zbl 1170.65001
Vassilevski, Panayot S.
99
2008
Finite volume methods for convection-diffusion problems. Zbl 0847.65075
Lazarov, R. D.; Mishev, Ilya D.; Vassilevski, P. S.
97
1996
Algebraic multilevel preconditioning methods. I. Zbl 0661.65110
Axelsson, O.; Vassilevski, P. S.
86
1989
Algebraic multilevel preconditioning methods. II. Zbl 0715.65091
Axelsson, O.; Vassilevski, P. S.
82
1990
The role of the strengthened Cauchy-Buniakowskii-Schwarz inequality in multilevel methods. Zbl 0737.65026
Eijkhout, Victor; Vassilevski, Panayot
47
1991
AMGe based on element agglomeration. Zbl 0992.65140
Jones, Jim E.; Vassilevski, Panayot S.
44
2001
Local refinement techniques for elliptic problems on cell-centered grids. I: Error analysis. Zbl 0724.65093
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S.
40
1991
On generalizing the algebraic multigrid framework. Zbl 1077.65129
Falgout, Robert D.; Vassilevski, Panayot S.
38
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
Multiplier spaces for the mortar finite element method in three dimensions. Zbl 1006.65129
Kim, Chisup; Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S.
35
2001
Mixed finite element methods for incompressible flow: stationary Stokes equations. Zbl 1267.76059
Cai, Zhiqiang; Tong, Charles; Vassilevski, Panayot S.; Wang, Chunbo
34
2010
Computational scales of Sobolev norms with application to preconditioning. Zbl 0941.65052
Bramble, James H.; Pasciak, Joseph E.; Vassilevski, Panayot S.
33
2000
On two-grid convergence estimates. Zbl 1164.65343
Falgout, Robert D.; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
33
2005
Mixed covolume methods for elliptic problems on triangular grids. Zbl 0914.65107
Chou, So-Hsiang; Kwak, Do Y.; Vassilevski, Panayot S.
32
1998
Parallel auxiliary space AMG for \(\boldsymbol{H}\) (curl) problems. Zbl 1212.65128
Kolev, Tzanio V.; Vassilevski, Panayot S.
32
2009
A black box generalized conjugate gradient solver with inner iterations and variable-step preconditioning. Zbl 0748.65028
Axelsson, O.; Vassilevski, P. S.
32
1991
Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations. Zbl 1224.65263
Dobrev, Veselin A.; Lazarov, Raytcho D.; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
32
2006
Least-squares mixed finite element methods for non-selfadjoint elliptic problems. I: Error estimates. Zbl 0878.65096
Pehlivanov, A. I.; Carey, G. F.; Vassilevski, P. S.
30
1996
A general mixed covolume framework for constructing conservative schemes for elliptic problems. Zbl 0924.65099
Chou, So-Hsiang; Vassilevski, Panayot S.
26
1999
Recursive Krylov-based multigrid cycles. Zbl 1212.65132
Notay, Y.; Vassilevski, P. S.
26
2008
Finite difference schemes on triangular cell-centered grids with local refinement. Zbl 0813.65115
Vassilevski, P. S.; Petrova, S. I.; Lazarov, R. D.
26
1992
Multilevel iterative methods for mixed finite element discretizations of elliptic problems. Zbl 0797.65086
Vassilevski, Panayot S.; Wang, Junping
24
1992
Interior penalty preconditioners for mixed finite element approximations of elliptic problems. Zbl 0857.65117
Rusten, Torgeir; Vassilevski, Panayot S.; Winther, Ragnar
22
1996
Preconditioning mixed finite element saddle-point elliptic problems. Zbl 0848.65079
Vassilevski, Panayot S.; Lazarov, Raytcho D.
20
1996
Element-free AMGe: General algorithms for computing interpolation weights in AMG. Zbl 0992.65141
Henson, Van Emden; Vassilevski, Panayot S.
19
2001
A mixed formulation for the Brinkman problem. Zbl 1457.65219
Vassilevski, Panayot S.; Villa, Umberto
18
2014
Parallel auxiliary space AMG solver for \(H(\operatorname{div})\) problems. Zbl 1332.65042
Kolev, Tzanio V.; Vassilevski, Panayot S.
18
2012
Variable-step multilevel preconditioning methods. I: Self-adjoint and positive definite elliptic problems. Zbl 0804.65104
Axelsson, O.; Vassilevski, P. S.
18
1994
Exact de Rham sequences of spaces defined on macro-elements in two and three spatial dimensions. Zbl 1195.78061
Pasciak, Joseph E.; Vassilevski, Panayot S.
17
2008
An improved convergence analysis of smoothed aggregation algebraic multigrid. Zbl 1274.65315
Brezina, Marian; Vaněk, Petr; Vassilevski, Panayot S.
16
2012
Hybrid \(V\)-cycle algebraic multilevel preconditioners. Zbl 0765.65044
Vassilevski, P. S.
16
1992
Least-squares mixed finite element methods for non-selfadjoint elliptic problems. II: Performance of block-ILU factorization methods. Zbl 0840.65109
Carey, G. F.; Pehlivanov, A. I.; Vassilevski, P. S.
16
1995
An application of the abstract multilevel theory to nonconforming finite element methods. Zbl 0828.65125
Vassilevski, Panayot S.; Wang, Junping
15
1995
Spectral element agglomerate algebraic multigrid methods for elliptic problems with high-contrast coefficients. Zbl 1217.65222
Efendiev, Yalchin; Galvis, Juan; Vassilevski, Panayot S.
15
2011
Local refinement via domain decomposition techniques for mixed finite element methods with rectangular Raviart-Thomas elements. Zbl 0705.65080
Ewing, R. E.; Lazarov, R. D.; Russell, T. F.; Vassilevski, P. S.
14
1990
The construction of the coarse de Rham complexes with improved approximation properties. Zbl 1284.65156
Lashuk, Ilya V.; Vassilevski, Panayot S.
14
2014
Arbitrary dimension convection-diffusion schemes for space-time discretizations. Zbl 1348.65139
Bank, Randolph E.; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
14
2017
Coarse spaces by algebraic multigrid: multigrid convergence and upscaling error estimates. Zbl 1229.65226
Vassilevski, Panayot S.
14
2011
A survey of multilevel preconditioned iterative methods. Zbl 0694.65009
Axelsson, O.; Vassilevski, P. S.
13
1989
Mixed upwinding covolume methods on rectangular grids for convection-diffusion problems. Zbl 0947.65120
Chou, So-Hsiang; Kwak, Do Y.; Vassilevski, Panayot S.
13
1999
Polynomial of best uniform approximation to \(1/x\) and smoothing in two-level methods. Zbl 1284.65052
Kraus, Johannes; Vassilevski, Panayot; Zikatanov, Ludmil
12
2012
Multilevel methods for elliptic problems with highly varying coefficients on nonaligned coarse grids. Zbl 1259.65190
Scheichl, Robert; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
12
2012
On some versions of the element agglomeration AMGe method. Zbl 1212.65494
Lashuk, I.; Vassilevski, P. S.
12
2008
Sparse matrix element topology with application to AMG(e) and preconditioning. Zbl 1071.65538
Vassilevski, Panayot S.
12
2002
Finite difference schemes on grids with local refinement in time and space for parabolic problems. I: Derivation, stability, and error analysis. Zbl 0721.65047
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S.
11
1990
A block-diagonal algebraic multigrid preconditioner for the Brinkman problem. Zbl 1282.65133
Vassilevski, Panayot S.; Villa, Umberto
11
2013
A multilevel, hierarchical sampling technique for spatially correlated random fields. Zbl 1422.65406
Osborn, Sarah; Vassilevski, Panayot S.; Villa, Umberto
11
2017
Local refinement techniques for elliptic problems on cell-centered grids. III: Algebraic multilevel BEPS preconditioners. Zbl 0726.65137
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S.
10
1991
Stabilizing the hierarchical basis by approximate wavelets. II: Implementation and numerical results. Zbl 0924.65108
Vassilevski, Panayot S.; Wang, Junping
10
1999
Weak approximation properties of elliptic projections with functional constraints. Zbl 1244.65215
Scheichl, Robert; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
10
2011
Adaptive AMG with coarsening based on compatible weighted matching. Zbl 1376.65038
D’Ambra, Pasqua; Vassilevski, Panayot S.
10
2013
Incomplete block-matrix factorization iterative methods for convection- diffusion problems. Zbl 0687.65029
Axelsson, O.; Eijkhout, V.; Polman, B.; Vassilevski, P.
9
1989
Space-time approximation with sparse grids. Zbl 1114.35082
Griebel, Michael; Oeltz, Daniel; Vassilevski, Panayot
9
2006
On two ways of stabilizing the hierarchical basis multilevel methods. Zbl 0880.65085
Vassilevski, Panayot S.
9
1997
Stabilizing the hierarchical basis by approximate wavelets. I: Theory. Zbl 0889.65126
Vassilevskij, P. S.; Wang, J.
9
1997
Algebraic hybridization and static condensation with application to scalable \(H\)(div) preconditioning. Zbl 1420.65029
Dobrev, V.; Kolev, T.; Lee, C. S.; Tomov, V.; Vassilevski, P. S.
9
2019
Element agglomeration coarse Raviart-Thomas spaces with improved approximation properties. Zbl 1274.65302
Lashuk, I. V.; Vassilevski, P. S.
9
2012
Local refinement techniques for elliptic problems on cell-centered grids. II: Optimal order two-grid iterative methods. Zbl 0840.65124
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S.
9
1994
Circulant block-factorization preconditioners for elliptic problems. Zbl 0810.65039
Lirkov, I. D.; Margenov, S. D.; Vassilevski, P. S.
9
1994
Reducing communication in algebraic multigrid using additive variants. Zbl 1340.65304
Vassilevski, Panayot S.; Yang, Ulrike Meier
8
2014
Streamline diffusion least-squares mixed finite element methods for convection-diffusion problems. Zbl 0895.65049
Lazarov, R. D.; Tobiska, L.; Vassilevski, P. S.
8
1997
Upscaling of mixed finite element discretization problems by the spectral AMGe method. Zbl 1348.65165
Kalchev, D. Z.; Lee, C. S.; Villa, U.; Efendiev, Y.; Vassilevski, P. S.
8
2016
Direction-preserving and Schur-monotonic semiseparable approximations of symmetric positive definite matrices. Zbl 1209.65033
Gu, Ming; Li, Xiaoye S.; Vassilevski, Panayot S.
8
2010
Scalable hierarchical PDE sampler for generating spatially correlated random fields using nonmatching meshes. Zbl 06945785
Osborn, Sarah; Zulian, Patrick; Benson, Thomas; Villa, Umberto; Krause, Rolf; Vassilevski, Panayot S.
8
2018
Fast algorithm for solving a linear algebraic problem with separable variables. Zbl 0575.65022
Vassilevski, P. S.
7
1984
Smoothed aggregation spectral element agglomeration AMG: SA-\(\rho \)AMGe. Zbl 1310.65151
Brezina, Marian; Vassilevski, Panayot S.
7
2012
Comparative convergence analysis of nonlinear AMLI-cycle multigrid. Zbl 1276.65089
Hu, Xiaozhe; Vassilevski, Panayot S.; Xu, Jinchao
7
2013
Monotone multigrid methods based on element agglomeration coarsening away from the contact boundary for the Signorini’s problem. Zbl 1164.74554
Iontcheva, Ana H.; Vassilevski, Panayot S.
7
2004
A framework for block ILU factorizations using block-size reduction. Zbl 0819.65018
Chan, Tony F.; Vassilevski, Panayot S.
7
1995
Domain decomposition type iterative techniques for parabolic problems on locally refined grids. Zbl 0794.65076
Ewing, Richard E.; Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S.
7
1993
Asymptotic work estimates for AMLI methods. Zbl 0729.65082
Axelsson, O.; Vassilevski, P. S.
6
1991
On some ways of approximating inverses of banded matrices in connection with deriving preconditioners based on incomplete block factorizations. Zbl 0691.65017
Vassilevski, P. S.
6
1990
Positive definiteness aspects of vectorizable preconditioners. Zbl 0692.65024
Eijkhout, V.; Vassilevski, P.
6
1989
On mesh-independent convergence of an inexact Newton–multigrid algorithm. Zbl 1049.65115
Brown, Peter N.; Vassilevski, Panayot S.; Woodward, Carol S.
6
2003
Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on nonmatching grids. Zbl 1095.65103
Lazarov, R. D.; Pasciak, J. E.; Schöberl, J.; Vassilevski, P. S.
6
2003
Balancing domain decomposition by constraints algorithms for curl-conforming spaces of arbitrary order. Zbl 1442.65435
Zampini, Stefano; Vassilevski, Panayot; Dobrev, Veselin; Kolev, Tzanio
6
2018
AMG by element agglomeration and constrained energy minimization interpolation. Zbl 1174.65546
Kolev, Tzanio V.; Vassilevski, Panayot S.
6
2006
A two-grid SA-AMG convergence bound that improves when increasing the polynomial degree. Zbl 1413.65062
Hu, Xiaozhe; Vassilevski, Panayot S.; Xu, Jinchao
6
2016
Interior penalty discontinuous approximations of elliptic problems. Zbl 0995.65114
Lazarov, R.; Tomov, S.; Vassilevski, P.
6
2001
Algebraic two-level preconditioning of non-conforming FEM systems. Zbl 0912.65103
Margenov, Svetozar D.; Vassilevski, Panayot S.
5
1998
A new approach for solving Stokes systems arising from a distributive relaxation method. Zbl 1221.65301
Bacuta, Constantin; Vassilevski, Panayot S.; Zhang, Shangyou
5
2011
General constrained energy minimization interpolation mappings for AMG. Zbl 1209.65133
Vassilevski, Panayot S.
5
2010
Multilevel block factorizations in generalized hierarchical bases. Zbl 1071.65061
Chow, Edmond; Vassilevski, Panayot S.
5
2003
Nonlinear multigrid solvers exploiting AMGe coarse spaces with approximation properties. Zbl 1432.76160
la Cour Christensen, Max; Vassilevski, Panayot S.; Villa, Umberto
5
2018
BootCMatch: a software package for bootstrap AMG based on graph weighted matching. Zbl 1484.65059
D’Ambra, Pasqua; Filippone, Salvatore; Vassilevski, Panayot S.
5
2018
Space-time discretizations using constrained first-order system least squares (CFOSLS). Zbl 1416.65362
Voronin, Kirill; Lee, Chak Shing; Neumüller, Martin; Sepulveda, Paulina; Vassilevski, Panayot S.
5
2018
Performance of certain iterative methods in solving implicit difference schemes for 2-D Navier-Stokes equations. Zbl 0764.76047
Iliev, O. P.; Makarov, M. M.; Vassilevski, P. S.
5
1992
Parallel solver for \(\boldsymbol{H}(\operatorname{div})\) problems using hybridization and AMG. Zbl 1367.65172
Lee, Chak S.; Vassilevski, Panayot S.
5
2017
Multiple vector preserving interpolation mappings in algebraic multigrid. Zbl 1102.65040
Vassilevski, Panayot S.; Zikatanov, Ludmil T.
4
2006
Commuting projections on graphs. Zbl 1340.65062
Vassilevski, Panayot S.; Zikatanov, Ludmil T.
4
2014
An upwinding cell-centered method with piecewise constant velocity over covolumes. Zbl 0939.65115
Chou, So-Hsiang; Vassilevski, Panayot S.
4
1999
Auxiliary space AMG for \(H\)(curl) problems. Zbl 1142.78009
Kolev, Tzanio V.; Vassilevski, Panayot. S.
4
2008
\({\mathbf H}\)(curl) auxiliary mesh preconditioning. Zbl 1212.65490
Kolev, T. V.; Pasciak, J. E.; Vassilevski, P. S.
4
2008
Finite difference schemes on grids with local refinement in time and in space for parabolic problems. Optimal order two-grid iterative methods. Zbl 0829.65112
Ewing, R. E.; Lazarov, R. D.; Vassilevski, P. S.
4
1991
Construction of variable-step preconditioners for inner-outer iteration methods. Zbl 0785.65018
Axelsson, O.; Vassilevski, P. S.
4
1992
Mini-workshop: Numerical upscaling for media with deterministic and stochastic heterogeneity. Abstracts from the workshop held February 10–16, 2013. Zbl 1349.00152
4
2013
Space-time CFOSLS methods with AMGe upscaling. Zbl 1367.65145
Neumüller, Martin; Vassilevski, Panayot S.; Villa, Umberto E.
4
2017
Preconditioning capacitance matrix problems in domain imbedding. Zbl 0806.65118
Proskurowski, Wlodek; Vassilevski, Panayot S.
4
1994
Algebraic multilevel preconditioning of anisotropic elliptic problems. Zbl 0813.65066
Margenov, Svetozar D.; Vassilevski, Panayot S.
4
1994
Error analysis for constrained first-order system least-squares finite-element methods. Zbl 1310.76086
Adler, J. H.; Vassilevski, P. S.
3
2014
Multilevel graph embedding. Zbl 07361105
Quiring, Benjamin; Vassilevski, Panayot S.
1
2021
Nonlinear multigrid based on local spectral coarsening for heterogeneous diffusion problems. Zbl 07337917
Lee, Chak Shing; Hamon, François; Castelletto, Nicola; Vassilevski, Panayot S.; White, Joshua A.
2
2020
Eigenvalue problems for exponential-type kernels. Zbl 1437.65230
Cai, Difeng; Vassilevski, Panayot S.
1
2020
Auxiliary space preconditioning of finite element equations using a nonconforming interior penalty reformulation and static condensation. Zbl 1448.65235
Kalchev, Delyan Z.; Vassilevski, Panayot S.
1
2020
Algebraic hybridization and static condensation with application to scalable \(H\)(div) preconditioning. Zbl 1420.65029
Dobrev, V.; Kolev, T.; Lee, C. S.; Tomov, V.; Vassilevski, P. S.
9
2019
Improving solve time of aggregation-based adaptive AMG. Zbl 1463.65401
D’Ambra, Pasqua; Vassilevski, Panayot S.
2
2019
Scalable hierarchical PDE sampler for generating spatially correlated random fields using nonmatching meshes. Zbl 06945785
Osborn, Sarah; Zulian, Patrick; Benson, Thomas; Villa, Umberto; Krause, Rolf; Vassilevski, Panayot S.
8
2018
Balancing domain decomposition by constraints algorithms for curl-conforming spaces of arbitrary order. Zbl 1442.65435
Zampini, Stefano; Vassilevski, Panayot; Dobrev, Veselin; Kolev, Tzanio
6
2018
Nonlinear multigrid solvers exploiting AMGe coarse spaces with approximation properties. Zbl 1432.76160
la Cour Christensen, Max; Vassilevski, Panayot S.; Villa, Umberto
5
2018
BootCMatch: a software package for bootstrap AMG based on graph weighted matching. Zbl 1484.65059
D’Ambra, Pasqua; Filippone, Salvatore; Vassilevski, Panayot S.
5
2018
Space-time discretizations using constrained first-order system least squares (CFOSLS). Zbl 1416.65362
Voronin, Kirill; Lee, Chak Shing; Neumüller, Martin; Sepulveda, Paulina; Vassilevski, Panayot S.
5
2018
The auxiliary space preconditioner for the de Rham complex. Zbl 1402.65017
Gopalakrishnan, J.; Neumüller, M.; Vassilevski, P. S.
2
2018
Arbitrary dimension convection-diffusion schemes for space-time discretizations. Zbl 1348.65139
Bank, Randolph E.; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
14
2017
A multilevel, hierarchical sampling technique for spatially correlated random fields. Zbl 1422.65406
Osborn, Sarah; Vassilevski, Panayot S.; Villa, Umberto
11
2017
Parallel solver for \(\boldsymbol{H}(\operatorname{div})\) problems using hybridization and AMG. Zbl 1367.65172
Lee, Chak S.; Vassilevski, Panayot S.
5
2017
Space-time CFOSLS methods with AMGe upscaling. Zbl 1367.65145
Neumüller, Martin; Vassilevski, Panayot S.; Villa, Umberto E.
4
2017
Spectral upscaling for graph Laplacian problems with application to reservoir simulation. Zbl 1422.65435
Barker, Andrew T.; Lee, Chak S.; Vassilevski, Panayot S.
3
2017
Numerical multilevel upscaling for incompressible flow in reservoir simulation: an element-based algebraic multigrid (amge) approach. Zbl 1360.65247
la Cour Christensen, Max; Villa, Umberto; Engsig-Karup, Allan P.; Vassilevski, Panayot S.
3
2017
Solving graph Laplacian systems through recursive partitioning and two-grid preconditioning. Zbl 1371.65030
Ponce, Colin; Vassilevski, Panayot S.
2
2017
Upscaling of mixed finite element discretization problems by the spectral AMGe method. Zbl 1348.65165
Kalchev, D. Z.; Lee, C. S.; Villa, U.; Efendiev, Y.; Vassilevski, P. S.
8
2016
A two-grid SA-AMG convergence bound that improves when increasing the polynomial degree. Zbl 1413.65062
Hu, Xiaozhe; Vassilevski, Panayot S.; Xu, Jinchao
6
2016
A mixed formulation for the Brinkman problem. Zbl 1457.65219
Vassilevski, Panayot S.; Villa, Umberto
18
2014
The construction of the coarse de Rham complexes with improved approximation properties. Zbl 1284.65156
Lashuk, Ilya V.; Vassilevski, Panayot S.
14
2014
Reducing communication in algebraic multigrid using additive variants. Zbl 1340.65304
Vassilevski, Panayot S.; Yang, Ulrike Meier
8
2014
Commuting projections on graphs. Zbl 1340.65062
Vassilevski, Panayot S.; Zikatanov, Ludmil T.
4
2014
Error analysis for constrained first-order system least-squares finite-element methods. Zbl 1310.76086
Adler, J. H.; Vassilevski, P. S.
3
2014
A combined preconditioning strategy for nonsymmetric systems. Zbl 1308.65043
Ayuso de Dios, B.; Barker, A. T.; Vassilevski, P. S.
3
2014
Multigrid preconditioning of the non-regularized augmented Bingham fluid problem. Zbl 1367.76033
Aposporidis, Alexis; Vassilevski, Panayot S.; Veneziani, Alessandro
1
2014
A block-diagonal algebraic multigrid preconditioner for the Brinkman problem. Zbl 1282.65133
Vassilevski, Panayot S.; Villa, Umberto
11
2013
Adaptive AMG with coarsening based on compatible weighted matching. Zbl 1376.65038
D’Ambra, Pasqua; Vassilevski, Panayot S.
10
2013
Comparative convergence analysis of nonlinear AMLI-cycle multigrid. Zbl 1276.65089
Hu, Xiaozhe; Vassilevski, Panayot S.; Xu, Jinchao
7
2013
Mini-workshop: Numerical upscaling for media with deterministic and stochastic heterogeneity. Abstracts from the workshop held February 10–16, 2013. Zbl 1349.00152
4
2013
Improving the communication pattern in matrix-vector operations for large scale-free graphs by disaggregation. Zbl 1280.05124
Kuhlemann, Verena; Vassilevski, Panayot S.
3
2013
Two-level adaptive algebraic multigrid for a sequence of problems with slowly varying random coefficients. Zbl 1285.65083
Kalchev, D.; Ketelsen, C.; Vassilevski, P. S.
2
2013
Improving conservation for first-order system least-squares finite-element methods. Zbl 1275.65077
Adler, J. H.; Vassilevski, P. S.
2
2013
Parallel auxiliary space AMG solver for \(H(\operatorname{div})\) problems. Zbl 1332.65042
Kolev, Tzanio V.; Vassilevski, Panayot S.
18
2012
An improved convergence analysis of smoothed aggregation algebraic multigrid. Zbl 1274.65315
Brezina, Marian; Vaněk, Petr; Vassilevski, Panayot S.
16
2012
Polynomial of best uniform approximation to \(1/x\) and smoothing in two-level methods. Zbl 1284.65052
Kraus, Johannes; Vassilevski, Panayot; Zikatanov, Ludmil
12
2012
Multilevel methods for elliptic problems with highly varying coefficients on nonaligned coarse grids. Zbl 1259.65190
Scheichl, Robert; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
12
2012
Element agglomeration coarse Raviart-Thomas spaces with improved approximation properties. Zbl 1274.65302
Lashuk, I. V.; Vassilevski, P. S.
9
2012
Smoothed aggregation spectral element agglomeration AMG: SA-\(\rho \)AMGe. Zbl 1310.65151
Brezina, Marian; Vassilevski, Panayot S.
7
2012
Regular decompositions for \(H(\mathrm{div})\) spaces. Zbl 1284.65051
Kolev, Tzanio; Vassilevski, Panayot
2
2012
Spectral element agglomerate algebraic multigrid methods for elliptic problems with high-contrast coefficients. Zbl 1217.65222
Efendiev, Yalchin; Galvis, Juan; Vassilevski, Panayot S.
15
2011
Coarse spaces by algebraic multigrid: multigrid convergence and upscaling error estimates. Zbl 1229.65226
Vassilevski, Panayot S.
14
2011
Weak approximation properties of elliptic projections with functional constraints. Zbl 1244.65215
Scheichl, Robert; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
10
2011
A new approach for solving Stokes systems arising from a distributive relaxation method. Zbl 1221.65301
Bacuta, Constantin; Vassilevski, Panayot S.; Zhang, Shangyou
5
2011
Mixed finite element methods for incompressible flow: stationary Stokes equations. Zbl 1267.76059
Cai, Zhiqiang; Tong, Charles; Vassilevski, Panayot S.; Wang, Chunbo
34
2010
Direction-preserving and Schur-monotonic semiseparable approximations of symmetric positive definite matrices. Zbl 1209.65033
Gu, Ming; Li, Xiaoye S.; Vassilevski, Panayot S.
8
2010
General constrained energy minimization interpolation mappings for AMG. Zbl 1209.65133
Vassilevski, Panayot S.
5
2010
Parallel auxiliary space AMG for \(\boldsymbol{H}\) (curl) problems. Zbl 1212.65128
Kolev, Tzanio V.; Vassilevski, Panayot S.
32
2009
Multilevel block factorization preconditioners. Matrix-based analysis and algorithms for solving finite element equations. Zbl 1170.65001
Vassilevski, Panayot S.
99
2008
Recursive Krylov-based multigrid cycles. Zbl 1212.65132
Notay, Y.; Vassilevski, P. S.
26
2008
Exact de Rham sequences of spaces defined on macro-elements in two and three spatial dimensions. Zbl 1195.78061
Pasciak, Joseph E.; Vassilevski, Panayot S.
17
2008
On some versions of the element agglomeration AMGe method. Zbl 1212.65494
Lashuk, I.; Vassilevski, P. S.
12
2008
Auxiliary space AMG for \(H\)(curl) problems. Zbl 1142.78009
Kolev, Tzanio V.; Vassilevski, Panayot. S.
4
2008
\({\mathbf H}\)(curl) auxiliary mesh preconditioning. Zbl 1212.65490
Kolev, T. V.; Pasciak, J. E.; Vassilevski, P. S.
4
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
Two-level preconditioning of discontinuous Galerkin approximations of second-order elliptic equations. Zbl 1224.65263
Dobrev, Veselin A.; Lazarov, Raytcho D.; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
32
2006
Space-time approximation with sparse grids. Zbl 1114.35082
Griebel, Michael; Oeltz, Daniel; Vassilevski, Panayot
9
2006
AMG by element agglomeration and constrained energy minimization interpolation. Zbl 1174.65546
Kolev, Tzanio V.; Vassilevski, Panayot S.
6
2006
Multiple vector preserving interpolation mappings in algebraic multigrid. Zbl 1102.65040
Vassilevski, Panayot S.; Zikatanov, Ludmil T.
4
2006
Mesh-independent convergence of the modified inexact Newton method for a second order non-linear problem. Zbl 1193.65200
Kim, T.; Pasciak, J. E.; Vassilevski, P. S.
2
2006
On two-grid convergence estimates. Zbl 1164.65343
Falgout, Robert D.; Vassilevski, Panayot S.; Zikatanov, Ludmil T.
33
2005
An element agglomeration nonlinear additive Schwarz preconditioned Newton method for unstructured finite element problems. Zbl 1099.65031
Cai, Xiao-Chuan; Marcinkowski, Leszek; Vassilevski, Panayot S.
3
2005
On generalizing the algebraic multigrid framework. Zbl 1077.65129
Falgout, Robert D.; Vassilevski, Panayot S.
38
2004
Monotone multigrid methods based on element agglomeration coarsening away from the contact boundary for the Signorini’s problem. Zbl 1164.74554
Iontcheva, Ana H.; Vassilevski, Panayot S.
7
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
On mesh-independent convergence of an inexact Newton–multigrid algorithm. Zbl 1049.65115
Brown, Peter N.; Vassilevski, Panayot S.; Woodward, Carol S.
6
2003
Almost optimal interior penalty discontinuous approximations of symmetric elliptic problems on nonmatching grids. Zbl 1095.65103
Lazarov, R. D.; Pasciak, J. E.; Schöberl, J.; Vassilevski, P. S.
6
2003
Multilevel block factorizations in generalized hierarchical bases. Zbl 1071.65061
Chow, Edmond; Vassilevski, Panayot S.
5
2003
On the occasion of the 60th birthday of Raytcho Lazarov. Zbl 1071.01524
Vassilevski, Panayot S.
3
2003
Sparse matrix element topology with application to AMG(e) and preconditioning. Zbl 1071.65538
Vassilevski, Panayot S.
12
2002
Numerical methods for convection-diffusion problems on general grids. Zbl 1029.65129
Lazarov, Raytcho D.; Vassilevski, Panayot S.
3
2002
AMGe based on element agglomeration. Zbl 0992.65140
Jones, Jim E.; Vassilevski, Panayot S.
44
2001
Multiplier spaces for the mortar finite element method in three dimensions. Zbl 1006.65129
Kim, Chisup; Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S.
35
2001
Element-free AMGe: General algorithms for computing interpolation weights in AMG. Zbl 0992.65141
Henson, Van Emden; Vassilevski, Panayot S.
19
2001
Interior penalty discontinuous approximations of elliptic problems. Zbl 0995.65114
Lazarov, R.; Tomov, S.; Vassilevski, P.
6
2001
Iterative solution of a coupled mixed and standard Galerkin discretization method for elliptic problems. Zbl 1051.65107
Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S.
3
2001
Computational scales of Sobolev norms with application to preconditioning. Zbl 0941.65052
Bramble, James H.; Pasciak, Joseph E.; Vassilevski, Panayot S.
33
2000
A survey of a class of algebraic multilevel iteration methods for positive definite symmetric matrices. Zbl 0968.65015
Axelsson, Owe; Vassilevski, Panayot S.
2
2000
A comparison of three solvers for the incompressible Navier-Stokes equations. Zbl 0985.76053
John, V.; Matthies, G.; Mitkova, T. I.; Tobiska, L.; Vassilevski, P. S.
1
2000
A general mixed covolume framework for constructing conservative schemes for elliptic problems. Zbl 0924.65099
Chou, So-Hsiang; Vassilevski, Panayot S.
26
1999
Mixed upwinding covolume methods on rectangular grids for convection-diffusion problems. Zbl 0947.65120
Chou, So-Hsiang; Kwak, Do Y.; Vassilevski, Panayot S.
13
1999
Stabilizing the hierarchical basis by approximate wavelets. II: Implementation and numerical results. Zbl 0924.65108
Vassilevski, Panayot S.; Wang, Junping
10
1999
An upwinding cell-centered method with piecewise constant velocity over covolumes. Zbl 0939.65115
Chou, So-Hsiang; Vassilevski, Panayot S.
4
1999
Coupling mixed and finite volume discretizations of convection-diffusion-reaction equations on non-matching grids. Zbl 1052.65554
Lazarov, Raytcho D.; Pasciak, Joseph E.; Vassilevski, Panayot S.
2
1999
Recent advances in numerical methods and applications. Proceedings of the 4th international conference, NMA ’98, Sofia, Bulgaria, August 19–23, 1998. Zbl 0964.00049
1
1999
Mixed covolume methods for elliptic problems on triangular grids. Zbl 0914.65107
Chou, So-Hsiang; Kwak, Do Y.; Vassilevski, Panayot S.
32
1998
Algebraic two-level preconditioning of non-conforming FEM systems. Zbl 0912.65103
Margenov, Svetozar D.; Vassilevski, Panayot S.
5
1998
Domain embedding preconditioners for mixed systems. Zbl 0969.65105
Rusten, Torgeir; Vassilevski, Panayot S.; Winther, Ragnar
3
1998
Preconditioning of indefinite and almost singular finite element elliptic equations. Zbl 0955.65083
Neytcheva, Maya G.; Vassilevski, Panayot S.
1
1998
A block-factorization (algebraic) formulation of multigrid and Schwarz methods. Zbl 0915.65120
Vassilevski, P. S.
1
1998
On two ways of stabilizing the hierarchical basis multilevel methods. Zbl 0880.65085
Vassilevski, Panayot S.
9
1997
Stabilizing the hierarchical basis by approximate wavelets. I: Theory. Zbl 0889.65126
Vassilevskij, P. S.; Wang, J.
9
1997
Streamline diffusion least-squares mixed finite element methods for convection-diffusion problems. Zbl 0895.65049
Lazarov, R. D.; Tobiska, L.; Vassilevski, P. S.
8
1997
A comparison of multilevel methods for total variation regularization. Zbl 0888.65135
Vassilevski, P. S.; Wade, J. G.
2
1997
Finite volume methods for convection-diffusion problems. Zbl 0847.65075
Lazarov, R. D.; Mishev, Ilya D.; Vassilevski, P. S.
97
1996
Least-squares mixed finite element methods for non-selfadjoint elliptic problems. I: Error estimates. Zbl 0878.65096
Pehlivanov, A. I.; Carey, G. F.; Vassilevski, P. S.
30
1996
Interior penalty preconditioners for mixed finite element approximations of elliptic problems. Zbl 0857.65117
Rusten, Torgeir; Vassilevski, Panayot S.; Winther, Ragnar
22
1996
Preconditioning mixed finite element saddle-point elliptic problems. Zbl 0848.65079
Vassilevski, Panayot S.; Lazarov, Raytcho D.
20
1996
...and 45 more Documents
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Cited by 1,379 Authors

52 Vassilevski, Panayot Spirov
42 Axelsson, Axel Owe Holger
24 Yuan, Yirang
20 Zikatanov, Ludmil T.
18 Kraus, Johannes K.
18 Lazarov, Raytcho D.
18 Margenov, Svetozar D.
16 Ewing, Richard Edward
15 Li, Changfeng
14 Lamichhane, Bishnu Prasad
14 Neytcheva, Maya G.
13 Xu, Jinchao
12 Chung, Tsz Shun Eric
12 Hu, Xiaozhe
12 Notay, Yvan
12 Wohlmuth, Barbara I.
11 Efendiev, Yalchin R.
10 Scheichl, Robert
10 Shu, Shi
10 Zampini, Stefano
9 Bai, Zhongzhi
9 Galvis, Juan
9 Kolev, Tzanio V.
9 Langer, Ulrich
9 Mardal, Kent-Andre
9 Pasciak, Joseph E.
9 Serra-Capizzano, Stefano
9 Zou, Qingsong
8 Antonietti, Paola Francesca
8 Bacuta, Constantin
8 Bramble, James H.
8 Gatica, Gabriel N.
8 Lymbery, Maria
8 Manteuffel, Thomas A.
8 Napov, Artem
8 Xiao, Yingxiong
7 Castelletto, Nicola
7 Chen, Zhangxin
7 Franceschini, Andrea
7 Iliev, Oleg P.
7 Lee, Chak Shing
7 Ruiz-Baier, Ricardo
7 Saad, Yousef
7 Villa, Umberto E.
7 Winther, Ragnar
7 Xu, Xuejun
7 Zhang, Zhimin
6 Blaheta, Radim
6 Chainais-Hillairet, Claire
6 Ferronato, Massimiliano
6 Ku, Jaeun
6 Kuchta, Miroslav
6 Liang, Dong
6 Liu, Jinn-Liang
6 Marcinkowski, Leszek
6 Nataf, Frédéric
6 Neumüller, Martin
6 Rahman, Talal
6 Schroder, Jacob B.
6 Southworth, Ben S.
6 Yang, Danping
6 Yang, Qing
6 Ye, Xiu
5 Brenner, Susanne Cecelia
5 Cai, Zhiqiang
5 di Serafino, Daniela
5 Dobrev, Veselin A.
5 Dostál, Zdeněk
5 Gaspar, Francisco José
5 Georgiev, Ivan
5 Grigori, Laura
5 Janna, Carlo
5 Karátson, János
5 Kozubek, Tomas
5 Leung, Wingtat
5 Li, Likang
5 Li, Yonghai
5 Mora, David
5 Olson, Luke N.
5 Oyarzúa, Ricardo
5 Sarkis, Marcus V.
5 Sun, Tongjun
5 Szyld, Daniel B.
5 Wang, Junping
5 Widlund, Olof B.
5 Zhang, Chensong
5 Zhou, Aihui
4 Anaya, Verónica
4 Barker, Andrew T.
4 Bertoluzza, Silvia
4 Bespalov, Alexei
4 Bessemoulin-Chatard, Marianne
4 Brzobohatý, Tomáš
4 Bustinza, Rommel A.
4 Carey, Graham Francis
4 Chen, Long
4 Chou, So-Hsiang
4 D’Ambra, Pasqua
4 Fang, Zhichao
4 Gratton, Serge
...and 1,279 more Authors
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Cited in 128 Serials

83 Journal of Computational and Applied Mathematics
78 Computer Methods in Applied Mechanics and Engineering
73 SIAM Journal on Scientific Computing
70 Numerical Linear Algebra with Applications
53 Journal of Computational Physics
48 Mathematics of Computation
47 Numerische Mathematik
41 Computers & Mathematics with Applications
29 Applied Numerical Mathematics
26 Journal of Scientific Computing
25 Applied Mathematics and Computation
22 Computing
20 SIAM Journal on Numerical Analysis
18 International Journal of Computer Mathematics
17 Numerical Methods for Partial Differential Equations
15 International Journal for Numerical Methods in Engineering
14 Linear Algebra and its Applications
13 BIT
12 Mathematics and Computers in Simulation
11 Calcolo
11 Computational Geosciences
11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10 Communications in Numerical Methods in Engineering
10 Advances in Computational Mathematics
9 Numerical Algorithms
9 Computational Methods in Applied Mathematics
8 Computers and Fluids
8 SIAM Journal on Matrix Analysis and Applications
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 Computing and Visualization in Science
8 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
8 Journal of Numerical Mathematics
7 International Journal for Numerical Methods in Fluids
7 Advances in Applied Mathematics and Mechanics
6 Numerical Functional Analysis and Optimization
6 Applied Mathematics and Mechanics. (English Edition)
6 Applications of Mathematics
6 ETNA. Electronic Transactions on Numerical Analysis
5 Acta Mathematicae Applicatae Sinica. English Series
5 Applied Mathematics Letters
5 International Journal of Numerical Methods for Heat & Fluid Flow
4 RAIRO. Modélisation Mathématique et Analyse Numérique
4 Abstract and Applied Analysis
4 Journal of Systems Science and Complexity
4 Multiscale Modeling & Simulation
4 SIAM/ASA Journal on Uncertainty Quantification
3 Journal of Mathematical Analysis and Applications
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Computational Mechanics
3 Science in China. Series A
3 Computational Optimization and Applications
3 Optimization Methods & Software
3 Journal of Applied Mathematics and Computing
3 Boletim da Sociedade Paranaense de Matemática. Terceira Série
3 Acta Numerica
3 International Journal of Numerical Analysis and Modeling
3 Sibirskie Èlektronnye Matematicheskie Izvestiya
2 Journal of Complexity
2 SIAM Review
2 Russian Journal of Numerical Analysis and Mathematical Modelling
2 Mathematical Problems in Engineering
2 Engineering Computations
2 Mathematical Modelling and Analysis
2 Journal of Applied Mathematics
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Central European Journal of Mathematics
2 International Journal of Computational Methods
2 Communications in Computational Physics
2 Science China. Mathematics
2 S\(\vec{\text{e}}\)MA Journal
2 Communications on Applied Mathematics and Computation
2 International Journal on Finite Volumes
1 Communications on Pure and Applied Mathematics
1 Mathematical Methods in the Applied Sciences
1 ACM Transactions on Mathematical Software
1 Advances in Mathematics
1 Czechoslovak Mathematical Journal
1 Demonstratio Mathematica
1 Results in Mathematics
1 Computer Aided Geometric Design
1 Journal of Computational Mathematics
1 Parallel Computing
1 Constructive Approximation
1 Communications in Applied Numerical Methods
1 Journal of Global Optimization
1 Computational Mathematics and Mathematical Physics
1 Journal of Mathematical Imaging and Vision
1 Applied and Computational Harmonic Analysis
1 Engineering Analysis with Boundary Elements
1 Journal of Difference Equations and Applications
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Taiwanese Journal of Mathematics
1 Analysis (München)
1 LMS Journal of Computation and Mathematics
1 Communications in Nonlinear Science and Numerical Simulation
1 Differential Equations
1 Nonlinear Analysis. Real World Applications
1 Foundations of Computational Mathematics
1 Stochastic Models
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Cited in 38 Fields

944 Numerical analysis (65-XX)
431 Partial differential equations (35-XX)
239 Fluid mechanics (76-XX)
106 Mechanics of deformable solids (74-XX)
27 Calculus of variations and optimal control; optimization (49-XX)
26 Linear and multilinear algebra; matrix theory (15-XX)
26 Optics, electromagnetic theory (78-XX)
20 Computer science (68-XX)
15 Probability theory and stochastic processes (60-XX)
14 Statistical mechanics, structure of matter (82-XX)
13 Geophysics (86-XX)
12 Operations research, mathematical programming (90-XX)
11 Biology and other natural sciences (92-XX)
10 Combinatorics (05-XX)
10 Approximations and expansions (41-XX)
10 Integral equations (45-XX)
9 Functional analysis (46-XX)
9 Operator theory (47-XX)
8 Classical thermodynamics, heat transfer (80-XX)
7 Ordinary differential equations (34-XX)
6 Information and communication theory, circuits (94-XX)
5 Statistics (62-XX)
5 Systems theory; control (93-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 General and overarching topics; collections (00-XX)
3 Special functions (33-XX)
2 History and biography (01-XX)
2 Real functions (26-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Commutative algebra (13-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Convex and discrete geometry (52-XX)
1 Mechanics of particles and systems (70-XX)
1 Quantum theory (81-XX)

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