Edit Profile (opens in new tab) Vassilevski, Panayot Spirov Co-Author Distance Author ID: vassilevski.panayot-s 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. more...less Homepage: http://people.llnl.gov/vassilevski1 External Links: MGP · Wikidata · Google Scholar · dblp · IdRef Documents Indexed: 190 Publications since 1983, including 2 Books and 2 Additional arXiv Preprints 6 Contributions as Editor Software Indexed: 1 Package Reviewing Activity: 1 Review Co-Authors: 119 Co-Authors with 166 Joint Publications 2,972 Co-Co-Authors all top 5 Co-Authors 30 single-authored 24 Lazarov, Raytcho D. 15 Ewing, Richard Edward 11 Axelsson, Axel Owe Holger 11 Villa, Umberto E. 10 Lee, Chak Shing 10 Margenov, Svetozar D. 10 Pasciak, Joseph E. 10 Zikatanov, Ludmil T. 9 Kolev, Tzanio V. 7 Iliev, Oleg P. 6 Kalchev, Delyan Z. 6 Petrova, Svetozara I. 5 Dobrev, Veselin A. 4 Chou, So-Hsiang 4 D’Ambra, Pasqua 4 Fairbanks, Hillary R. 4 Osborn, Sarah V. 4 Wang, Junping 3 Barker, Andrew T. 3 Brezina, Marian 3 Castelletto, Nicola 3 Efendiev, Yalchin R. 3 Eijkhout, Victor L. 3 Falgout, Robert D. 3 Hamon, François P. 3 Hu, Xiaozhe 3 Lashuk, Ilya V. 3 Neumüller, Martin 3 Ponce, Colin 3 Rusten, Torgeir 3 Tobiska, Lutz 3 White, Joshua A. 3 Winther, Ragnar 2 Adler, James H. 2 Bank, Randolph E. 2 Carey, Graham Francis 2 Chan, Tony Fan-Cheong 2 Griebel, Michael 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 Quiring, Benjamin 2 Ruge, J. 2 Scheichl, Robert 2 Sendov, Blagovest Khristov 2 Woodward, Carol S. 2 Xu, Jinchao 1 Aposporidis, Alexis 1 Bacuta, Constantin 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 1 Cutillo, Luisa 1 Dimov, Ivan Todor 1 Djidjev, Hristo Nicolov 1 Etova, Maya H. 1 Filippone, Salvatore 1 Galvis, Juan 1 Gelever, Stephan V. 1 Georgiev, Asen 1 Gopalakrishnan, Jay 1 Gu, Ming 1 Hamilton, Aidan 1 Haug, Einar 1 Iontcheva, Ana H. 1 John, Volker 1 Ketelsen, Christian 1 Kim, Chisup 1 Kim, Taejong 1 Kostova, Tanya V. 1 Kraus, Johannes K. 1 Krause, Rolf H. 1 Kuhlemann, Verena 1 Li, Ruipeng 1 Li, Xiaoye Sherry 1 Lirkov, Ivan D. 1 Mao, Christina 1 Marcinkowski, Leszek 1 Markov, Svetoslav Marinovich 1 Matthies, Gunar 1 McKay, Maricela Best 1 Meier Yang, Ulrike 1 Minev, Peter Dimitrov 1 Mitkova, T. I. 1 Neytcheva, Maya G. 1 Notay, Yvan 1 Oeltz, Daniel 1 Pazner, Will E. 1 Polman, Ben ...and 19 more Co-Authors all top 5 Serials 36 SIAM Journal on Scientific Computing 29 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 Journal of Computational Physics 2 Applied Mathematics and Computation 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 2 Computing and Visualization in Science 1 ACM Transactions on Mathematical Software 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 Multiscale Modeling & Simulation 1 Oberwolfach Reports 1 Notes on Numerical Fluid Mechanics 1 Advances in Adaptive Data Analysis 1 Springer Proceedings in Mathematics & Statistics 1 Godishnik na Sofiskiya Universitet. Fakultet po Matematika i Mekhanika all top 5 Fields 188 Numerical analysis (65-XX) 109 Partial differential equations (35-XX) 16 Fluid mechanics (76-XX) 7 General and overarching topics; collections (00-XX) 5 Computer science (68-XX) 4 Combinatorics (05-XX) 4 Ordinary differential equations (34-XX) 4 Mechanics of deformable solids (74-XX) 3 Operator theory (47-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Difference and functional equations (39-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 158 Publications have been cited 2,310 times in 1,335 Documents Cited by ▼ Year ▼ Multilevel block factorization preconditioners. Matrix-based analysis and algorithms for solving finite element equations. Zbl 1170.65001 Vassilevski, Panayot S. 155 2008 Finite volume methods for convection-diffusion problems. Zbl 0847.65075 Lazarov, R. D.; Mishev, Ilya D.; Vassilevski, P. S. 112 1996 Algebraic multilevel preconditioning methods. I. Zbl 0661.65110 Axelsson, O.; Vassilevski, P. S. 94 1989 Algebraic multilevel preconditioning methods. II. Zbl 0715.65091 Axelsson, O.; Vassilevski, P. S. 90 1990 The role of the strengthened Cauchy-Buniakowskii-Schwarz inequality in multilevel methods. Zbl 0737.65026 Eijkhout, Victor; Vassilevski, Panayot 55 1991 On generalizing the algebraic multigrid framework. Zbl 1077.65129 Falgout, Robert D.; Vassilevski, Panayot S. 54 2004 Parallel auxiliary space AMG for \(\boldsymbol{H}\) (curl) problems. Zbl 1212.65128 Kolev, Tzanio V.; Vassilevski, Panayot S. 53 2009 AMGe based on element agglomeration. Zbl 0992.65140 Jones, Jim E.; Vassilevski, Panayot S. 52 2001 Mixed finite element methods for incompressible flow: stationary Stokes equations. Zbl 1267.76059 Cai, Zhiqiang; Tong, Charles; Vassilevski, Panayot S.; Wang, Chunbo 51 2010 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. 48 2003 Mixed covolume methods for elliptic problems on triangular grids. Zbl 0914.65107 Chou, So-Hsiang; Kwak, Do Y.; Vassilevski, Panayot S. 42 1998 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. 42 1991 Recursive Krylov-based multigrid cycles. Zbl 1212.65132 Notay, Y.; Vassilevski, P. S. 42 2008 A black box generalized conjugate gradient solver with inner iterations and variable-step preconditioning. Zbl 0748.65028 Axelsson, O.; Vassilevski, P. S. 41 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. 40 2006 On two-grid convergence estimates. Zbl 1164.65343 Falgout, Robert D.; Vassilevski, Panayot S.; Zikatanov, Ludmil T. 40 2005 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. 39 2001 Computational scales of Sobolev norms with application to preconditioning. Zbl 0941.65052 Bramble, James H.; Pasciak, Joseph E.; Vassilevski, Panayot S. 39 2000 Parallel auxiliary space AMG solver for \(H(\operatorname{div})\) problems. Zbl 1332.65042 Kolev, Tzanio V.; Vassilevski, Panayot S. 36 2012 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. 35 1996 A general mixed covolume framework for constructing conservative schemes for elliptic problems. Zbl 0924.65099 Chou, So-Hsiang; Vassilevski, Panayot S. 34 1999 A mixed formulation for the Brinkman problem. Zbl 1457.65219 Vassilevski, Panayot S.; Villa, Umberto 32 2014 Finite difference schemes on triangular cell-centered grids with local refinement. Zbl 0813.65115 Vassilevski, P. S.; Petrova, S. I.; Lazarov, R. D. 27 1992 Multilevel iterative methods for mixed finite element discretizations of elliptic problems. Zbl 0797.65086 Vassilevski, Panayot S.; Wang, Junping 27 1992 Interior penalty preconditioners for mixed finite element approximations of elliptic problems. Zbl 0857.65117 Rusten, Torgeir; Vassilevski, Panayot S.; Winther, Ragnar 27 1996 Element-free AMGe: General algorithms for computing interpolation weights in AMG. Zbl 0992.65141 Henson, Van Emden; Vassilevski, Panayot S. 25 2001 Preconditioning mixed finite element saddle-point elliptic problems. Zbl 0848.65079 Vassilevski, Panayot S.; Lazarov, Raytcho D. 24 1996 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. 22 2008 Spectral element agglomerate algebraic multigrid methods for elliptic problems with high-contrast coefficients. Zbl 1217.65222 Efendiev, Yalchin; Galvis, Juan; Vassilevski, Panayot S. 22 2011 Variable-step multilevel preconditioning methods. I: Self-adjoint and positive definite elliptic problems. Zbl 0804.65104 Axelsson, O.; Vassilevski, P. S. 21 1994 Arbitrary dimension convection-diffusion schemes for space-time discretizations. Zbl 1348.65139 Bank, Randolph E.; Vassilevski, Panayot S.; Zikatanov, Ludmil T. 20 2017 A block-diagonal algebraic multigrid preconditioner for the Brinkman problem. Zbl 1282.65133 Vassilevski, Panayot S.; Villa, Umberto 20 2013 The construction of the coarse de Rham complexes with improved approximation properties. Zbl 1284.65156 Lashuk, Ilya V.; Vassilevski, Panayot S. 19 2014 Adaptive AMG with coarsening based on compatible weighted matching. Zbl 1376.65038 D’Ambra, Pasqua; Vassilevski, Panayot S. 19 2013 Mixed upwinding covolume methods on rectangular grids for convection-diffusion problems. Zbl 0947.65120 Chou, So-Hsiang; Kwak, Do Y.; Vassilevski, Panayot S. 17 1999 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. 17 1995 Multilevel methods for elliptic problems with highly varying coefficients on nonaligned coarse grids. Zbl 1259.65190 Scheichl, Robert; Vassilevski, Panayot S.; Zikatanov, Ludmil T. 17 2012 An improved convergence analysis of smoothed aggregation algebraic multigrid. Zbl 1274.65315 Brezina, Marian; Vaněk, Petr; Vassilevski, Panayot S. 17 2012 An application of the abstract multilevel theory to nonconforming finite element methods. Zbl 0828.65125 Vassilevski, Panayot S.; Wang, Junping 16 1995 Hybrid \(V\)-cycle algebraic multilevel preconditioners. Zbl 0765.65044 Vassilevski, P. S. 16 1992 Polynomial of best uniform approximation to \(1/x\) and smoothing in two-level methods. Zbl 1284.65052 Kraus, Johannes; Vassilevski, Panayot; Zikatanov, Ludmil 15 2012 Coarse spaces by algebraic multigrid: multigrid convergence and upscaling error estimates. Zbl 1229.65226 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. 15 1990 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. 15 2019 A multilevel, hierarchical sampling technique for spatially correlated random fields. Zbl 1422.65406 Osborn, Sarah; Vassilevski, Panayot S.; Villa, Umberto 15 2017 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. 15 1990 On some versions of the element agglomeration AMGe method. Zbl 1212.65494 Lashuk, I.; Vassilevski, P. S. 14 2008 Sparse matrix element topology with application to AMG(e) and preconditioning. Zbl 1071.65538 Vassilevski, Panayot S. 13 2002 Reducing communication in algebraic multigrid using additive variants. Zbl 1340.65304 Vassilevski, Panayot S.; Yang, Ulrike Meier 13 2014 BootCMatch: a software package for bootstrap AMG based on graph weighted matching. Zbl 1484.65059 D’Ambra, Pasqua; Filippone, Salvatore; Vassilevski, Panayot S. 13 2018 Element agglomeration coarse Raviart-Thomas spaces with improved approximation properties. Zbl 1274.65302 Lashuk, I. V.; Vassilevski, P. S. 13 2012 A survey of multilevel preconditioned iterative methods. Zbl 0694.65009 Axelsson, O.; Vassilevski, P. S. 13 1989 Weak approximation properties of elliptic projections with functional constraints. Zbl 1244.65215 Scheichl, Robert; Vassilevski, Panayot S.; Zikatanov, Ludmil T. 12 2011 Streamline diffusion least-squares mixed finite element methods for convection-diffusion problems. Zbl 0895.65049 Lazarov, R. D.; Tobiska, L.; Vassilevski, P. S. 11 1997 Circulant block-factorization preconditioners for elliptic problems. Zbl 0810.65039 Lirkov, I. D.; Margenov, S. D.; Vassilevski, P. S. 11 1994 Space-time approximation with sparse grids. Zbl 1114.35082 Griebel, Michael; Oeltz, Daniel; Vassilevski, Panayot 11 2006 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. 11 2016 Scalable hierarchical PDE sampler for generating spatially correlated random fields using nonmatching meshes. Zbl 1499.65006 Osborn, Sarah; Zulian, Patrick; Benson, Thomas; Villa, Umberto; Krause, Rolf; Vassilevski, Panayot S. 11 2018 A new approach for solving Stokes systems arising from a distributive relaxation method. Zbl 1221.65301 Bacuta, Constantin; Vassilevski, Panayot S.; Zhang, Shangyou 11 2011 Stabilizing the hierarchical basis by approximate wavelets. II: Implementation and numerical results. Zbl 0924.65108 Vassilevski, Panayot S.; Wang, Junping 10 1999 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 Nonlinear multigrid solvers exploiting AMGe coarse spaces with approximation properties. Zbl 1432.76160 la Cour Christensen, Max; Vassilevski, Panayot S.; Villa, Umberto 10 2018 Parallel solver for \(\boldsymbol{H}(\operatorname{div})\) problems using hybridization and AMG. Zbl 1367.65172 Lee, Chak S.; Vassilevski, Panayot S. 10 2017 AMG by element agglomeration and constrained energy minimization interpolation. Zbl 1174.65546 Kolev, Tzanio V.; Vassilevski, Panayot S. 10 2006 Balancing domain decomposition by constraints algorithms for curl-conforming spaces of arbitrary order. Zbl 1442.65435 Zampini, Stefano; Vassilevski, Panayot; Dobrev, Veselin; Kolev, Tzanio 10 2018 Stabilizing the hierarchical basis by approximate wavelets. I: Theory. Zbl 0889.65126 Vassilevskij, P. S.; Wang, J. 9 1997 On two ways of stabilizing the hierarchical basis multilevel methods. Zbl 0880.65085 Vassilevski, Panayot S. 9 1997 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 Smoothed aggregation spectral element agglomeration AMG: SA-\(\rho \)AMGe. Zbl 1310.65151 Brezina, Marian; Vassilevski, Panayot S. 9 2012 Direction-preserving and Schur-monotonic semiseparable approximations of symmetric positive definite matrices. Zbl 1209.65033 Gu, Ming; Li, Xiaoye S.; Vassilevski, Panayot S. 9 2010 Comparative convergence analysis of nonlinear AMLI-cycle multigrid. Zbl 1276.65089 Hu, Xiaozhe; Vassilevski, Panayot S.; Xu, Jinchao 9 2013 Incomplete block-matrix factorization iterative methods for convection- diffusion problems. Zbl 0687.65029 Axelsson, O.; Eijkhout, V.; Polman, B.; Vassilevski, P. 9 1989 Multilevel block factorizations in generalized hierarchical bases. Zbl 1071.65061 Chow, Edmond; Vassilevski, Panayot S. 8 2003 Fast algorithm for solving a linear algebraic problem with separable variables. Zbl 0575.65022 Vassilevski, P. S. 8 1984 General constrained energy minimization interpolation mappings for AMG. Zbl 1209.65133 Vassilevski, Panayot S. 8 2010 A two-grid SA-AMG convergence bound that improves when increasing the polynomial degree. Zbl 1413.65062 Hu, Xiaozhe; Vassilevski, Panayot S.; Xu, Jinchao 8 2016 Preconditioning indefinite systems arising from mixed finite element discretization of second-order elliptic problems. Zbl 0719.65024 Ewing, Richard E.; Lazarov, Raytcho D.; Lu, Peng; Vassilevski, Panayot S. 8 1990 \({\mathbf H}\)(curl) auxiliary mesh preconditioning. Zbl 1212.65490 Kolev, T. V.; Pasciak, J. E.; Vassilevski, P. S. 8 2008 The auxiliary space preconditioner for the de Rham complex. Zbl 1402.65017 Gopalakrishnan, J.; Neumüller, M.; Vassilevski, P. S. 8 2018 On mesh-independent convergence of an inexact Newton–multigrid algorithm. Zbl 1049.65115 Brown, Peter N.; Vassilevski, Panayot S.; Woodward, Carol S. 7 2003 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 A framework for block ILU factorizations using block-size reduction. Zbl 0819.65018 Chan, Tony F.; Vassilevski, Panayot S. 7 1995 Interior penalty discontinuous approximations of elliptic problems. Zbl 0995.65114 Lazarov, R.; Tomov, S.; Vassilevski, P. 7 2001 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 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. 7 2018 Algebraic multilevel preconditioning of anisotropic elliptic problems. Zbl 0813.65066 Margenov, Svetozar D.; Vassilevski, Panayot S. 6 1994 Error analysis for constrained first-order system least-squares finite-element methods. Zbl 1310.76086 Adler, J. H.; Vassilevski, P. S. 6 2014 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 Asymptotic work estimates for AMLI methods. Zbl 0729.65082 Axelsson, O.; Vassilevski, P. S. 6 1991 Convergence analysis of a domain decomposition paradigm. Zbl 1522.65241 Bank, Randolph E.; Vassilevski, Panayot S. 6 2008 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. 6 2017 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 Spectral upscaling for graph Laplacian problems with application to reservoir simulation. Zbl 1422.65435 Barker, Andrew T.; Lee, Chak S.; Vassilevski, Panayot S. 6 2017 Positive definiteness aspects of vectorizable preconditioners. Zbl 0692.65024 Eijkhout, V.; Vassilevski, P. 6 1989 Improving solve time of aggregation-based adaptive AMG. Zbl 1463.65401 D’Ambra, Pasqua; Vassilevski, Panayot S. 6 2019 Algebraic two-level preconditioning of non-conforming FEM systems. Zbl 0912.65103 Margenov, Svetozar D.; Vassilevski, Panayot S. 5 1998 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 Multiple vector preserving interpolation mappings in algebraic multigrid. Zbl 1102.65040 Vassilevski, Panayot S.; Zikatanov, Ludmil T. 5 2006 Nonlinear multigrid based on local spectral coarsening for heterogeneous diffusion problems. Zbl 1506.76113 Lee, Chak Shing; Hamon, François; Castelletto, Nicola; Vassilevski, Panayot S.; White, Joshua A. 5 2020 Numerical methods for convection-diffusion problems on general grids. Zbl 1029.65129 Lazarov, Raytcho D.; Vassilevski, Panayot S. 4 2002 An aggregation-based nonlinear multigrid solver for two-phase flow and transport in porous media. Zbl 1504.65186 Lee, Chak Shing; Hamon, François P.; Castelletto, Nicola; Vassilevski, Panayot S.; White, Joshua A. 2 2022 Estimating posterior quantity of interest expectations in a multilevel scalable framework. Zbl 1549.65006 Fairbanks, Hillary R.; Osborn, Sarah; Vassilevski, Panayot S. 4 2021 Multilevel spectral coarsening for graph Laplacian problems with application to reservoir simulation. Zbl 1482.65222 Barker, Andrew T.; Gelever, Stephan V.; Lee, Chak S.; Osborn, Sarah V.; Vassilevski, Panayot S. 4 2021 Numerical results for adaptive (negative norm) constrained first order system least squares formulations. Zbl 1524.65591 Schafelner, Andreas; Vassilevski, Panayot S. 3 2021 Multilevel graph embedding. Zbl 1549.65592 Quiring, Benjamin; Vassilevski, Panayot S. 2 2021 Multilevel hierarchical decomposition of finite element white noise with application to multilevel Markov chain Monte Carlo. Zbl 1476.62012 Fairbanks, Hillary R.; Villa, Umberto; Vassilevski, Panayot S. 2 2021 Nonlinear multigrid based on local spectral coarsening for heterogeneous diffusion problems. Zbl 1506.76113 Lee, Chak Shing; Hamon, François; Castelletto, Nicola; Vassilevski, Panayot S.; White, Joshua A. 5 2020 Eigenvalue problems for exponential-type kernels. Zbl 1437.65230 Cai, Difeng; Vassilevski, Panayot S. 4 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. 3 2020 A condensed constrained nonconforming mortar-based approach for preconditioning finite element discretization problems. Zbl 1452.65343 Kalchev, Delyan Z.; Vassilevski, Panayot 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. 15 2019 Improving solve time of aggregation-based adaptive AMG. Zbl 1463.65401 D’Ambra, Pasqua; Vassilevski, Panayot S. 6 2019 Modifying AMG coarse spaces with weak approximation property to exhibit approximation in energy Norm. Zbl 1448.65264 Hu, Xiaozhe; Vassilevski, Panayot S. 2 2019 BootCMatch: a software package for bootstrap AMG based on graph weighted matching. Zbl 1484.65059 D’Ambra, Pasqua; Filippone, Salvatore; Vassilevski, Panayot S. 13 2018 Scalable hierarchical PDE sampler for generating spatially correlated random fields using nonmatching meshes. Zbl 1499.65006 Osborn, Sarah; Zulian, Patrick; Benson, Thomas; Villa, Umberto; Krause, Rolf; Vassilevski, Panayot S. 11 2018 Nonlinear multigrid solvers exploiting AMGe coarse spaces with approximation properties. Zbl 1432.76160 la Cour Christensen, Max; Vassilevski, Panayot S.; Villa, Umberto 10 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 10 2018 The auxiliary space preconditioner for the de Rham complex. Zbl 1402.65017 Gopalakrishnan, J.; Neumüller, M.; Vassilevski, P. S. 8 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. 7 2018 A nonlinear algebraic multigrid framework for the power flow equations. Zbl 1446.65017 Ponce, C.; Bindel, D. S.; Vassilevski, P. S. 1 2018 Arbitrary dimension convection-diffusion schemes for space-time discretizations. Zbl 1348.65139 Bank, Randolph E.; Vassilevski, Panayot S.; Zikatanov, Ludmil T. 20 2017 A multilevel, hierarchical sampling technique for spatially correlated random fields. Zbl 1422.65406 Osborn, Sarah; Vassilevski, Panayot S.; Villa, Umberto 15 2017 Parallel solver for \(\boldsymbol{H}(\operatorname{div})\) problems using hybridization and AMG. Zbl 1367.65172 Lee, Chak S.; Vassilevski, Panayot S. 10 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. 6 2017 Spectral upscaling for graph Laplacian problems with application to reservoir simulation. Zbl 1422.65435 Barker, Andrew T.; Lee, Chak S.; Vassilevski, Panayot S. 6 2017 Space-time CFOSLS methods with AMGe upscaling. Zbl 1367.65145 Neumüller, Martin; Vassilevski, Panayot S.; Villa, Umberto E. 4 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. 11 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 8 2016 A mixed formulation for the Brinkman problem. Zbl 1457.65219 Vassilevski, Panayot S.; Villa, Umberto 32 2014 The construction of the coarse de Rham complexes with improved approximation properties. Zbl 1284.65156 Lashuk, Ilya V.; Vassilevski, Panayot S. 19 2014 Reducing communication in algebraic multigrid using additive variants. Zbl 1340.65304 Vassilevski, Panayot S.; Yang, Ulrike Meier 13 2014 Error analysis for constrained first-order system least-squares finite-element methods. Zbl 1310.76086 Adler, J. H.; Vassilevski, P. S. 6 2014 A combined preconditioning strategy for nonsymmetric systems. Zbl 1308.65043 Ayuso de Dios, B.; Barker, A. T.; Vassilevski, P. S. 4 2014 Commuting projections on graphs. Zbl 1340.65062 Vassilevski, Panayot S.; Zikatanov, Ludmil T. 4 2014 Multigrid preconditioning of the non-regularized augmented Bingham fluid problem. Zbl 1367.76033 Aposporidis, Alexis; Vassilevski, Panayot S.; Veneziani, Alessandro 2 2014 A block-diagonal algebraic multigrid preconditioner for the Brinkman problem. Zbl 1282.65133 Vassilevski, Panayot S.; Villa, Umberto 20 2013 Adaptive AMG with coarsening based on compatible weighted matching. Zbl 1376.65038 D’Ambra, Pasqua; Vassilevski, Panayot S. 19 2013 Comparative convergence analysis of nonlinear AMLI-cycle multigrid. Zbl 1276.65089 Hu, Xiaozhe; Vassilevski, Panayot S.; Xu, Jinchao 9 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 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. 3 2013 Improving conservation for first-order system least-squares finite-element methods. Zbl 1275.65077 Adler, J. H.; Vassilevski, P. S. 3 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 Numerical solution of partial differential equations: Theory, algorithms, and their applications. Papers based on the international symposium, Sozopol, Bulgaria, June 7–8, 2013. In Honor of Professor Raytcho Lazarov’s 40 years of research in computational methods and applied mathematics and on the occasion of his 70th birthday. Zbl 1269.65002 1 2013 Parallel auxiliary space AMG solver for \(H(\operatorname{div})\) problems. Zbl 1332.65042 Kolev, Tzanio V.; Vassilevski, Panayot S. 36 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. 17 2012 An improved convergence analysis of smoothed aggregation algebraic multigrid. Zbl 1274.65315 Brezina, Marian; Vaněk, Petr; Vassilevski, Panayot S. 17 2012 Polynomial of best uniform approximation to \(1/x\) and smoothing in two-level methods. Zbl 1284.65052 Kraus, Johannes; Vassilevski, Panayot; Zikatanov, Ludmil 15 2012 Element agglomeration coarse Raviart-Thomas spaces with improved approximation properties. Zbl 1274.65302 Lashuk, I. V.; Vassilevski, P. S. 13 2012 Smoothed aggregation spectral element agglomeration AMG: SA-\(\rho \)AMGe. Zbl 1310.65151 Brezina, Marian; Vassilevski, Panayot S. 9 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. 22 2011 Coarse spaces by algebraic multigrid: multigrid convergence and upscaling error estimates. Zbl 1229.65226 Vassilevski, Panayot S. 15 2011 Weak approximation properties of elliptic projections with functional constraints. Zbl 1244.65215 Scheichl, Robert; Vassilevski, Panayot S.; Zikatanov, Ludmil T. 12 2011 A new approach for solving Stokes systems arising from a distributive relaxation method. Zbl 1221.65301 Bacuta, Constantin; Vassilevski, Panayot S.; Zhang, Shangyou 11 2011 Mixed finite element methods for incompressible flow: stationary Stokes equations. Zbl 1267.76059 Cai, Zhiqiang; Tong, Charles; Vassilevski, Panayot S.; Wang, Chunbo 51 2010 Direction-preserving and Schur-monotonic semiseparable approximations of symmetric positive definite matrices. Zbl 1209.65033 Gu, Ming; Li, Xiaoye S.; Vassilevski, Panayot S. 9 2010 General constrained energy minimization interpolation mappings for AMG. Zbl 1209.65133 Vassilevski, Panayot S. 8 2010 Parallel auxiliary space AMG for \(\boldsymbol{H}\) (curl) problems. Zbl 1212.65128 Kolev, Tzanio V.; Vassilevski, Panayot S. 53 2009 Multilevel block factorization preconditioners. Matrix-based analysis and algorithms for solving finite element equations. Zbl 1170.65001 Vassilevski, Panayot S. 155 2008 Recursive Krylov-based multigrid cycles. Zbl 1212.65132 Notay, Y.; Vassilevski, P. S. 42 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. 22 2008 On some versions of the element agglomeration AMGe method. Zbl 1212.65494 Lashuk, I.; Vassilevski, P. S. 14 2008 \({\mathbf H}\)(curl) auxiliary mesh preconditioning. Zbl 1212.65490 Kolev, T. V.; Pasciak, J. E.; Vassilevski, P. S. 8 2008 Convergence analysis of a domain decomposition paradigm. Zbl 1522.65241 Bank, Randolph E.; Vassilevski, Panayot S. 6 2008 Auxiliary space AMG for \(H\)(curl) problems. Zbl 1142.78009 Kolev, Tzanio V.; Vassilevski, Panayot. 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. 40 2006 Space-time approximation with sparse grids. Zbl 1114.35082 Griebel, Michael; Oeltz, Daniel; Vassilevski, Panayot 11 2006 AMG by element agglomeration and constrained energy minimization interpolation. Zbl 1174.65546 Kolev, Tzanio V.; Vassilevski, Panayot S. 10 2006 Multiple vector preserving interpolation mappings in algebraic multigrid. Zbl 1102.65040 Vassilevski, Panayot S.; Zikatanov, Ludmil T. 5 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. 40 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. 54 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. 48 2003 Multilevel block factorizations in generalized hierarchical bases. Zbl 1071.65061 Chow, Edmond; Vassilevski, Panayot S. 8 2003 On mesh-independent convergence of an inexact Newton–multigrid algorithm. Zbl 1049.65115 Brown, Peter N.; Vassilevski, Panayot S.; Woodward, Carol S. 7 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 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. 13 2002 Numerical methods for convection-diffusion problems on general grids. Zbl 1029.65129 Lazarov, Raytcho D.; Vassilevski, Panayot S. 4 2002 AMGe based on element agglomeration. Zbl 0992.65140 Jones, Jim E.; Vassilevski, Panayot S. 52 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. 39 2001 Element-free AMGe: General algorithms for computing interpolation weights in AMG. Zbl 0992.65141 Henson, Van Emden; Vassilevski, Panayot S. 25 2001 Interior penalty discontinuous approximations of elliptic problems. Zbl 0995.65114 Lazarov, R.; Tomov, S.; Vassilevski, P. 7 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. 39 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. 34 1999 Mixed upwinding covolume methods on rectangular grids for convection-diffusion problems. Zbl 0947.65120 Chou, So-Hsiang; Kwak, Do Y.; Vassilevski, Panayot S. 17 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. 3 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. 42 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 ...and 58 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,719 Authors 64 Vassilevski, Panayot Spirov 45 Axelsson, Axel Owe Holger 33 Yuan, Yirang 29 Zikatanov, Ludmil T. 24 Li, Changfeng 22 Kraus, Johannes K. 21 Hu, Xiaozhe 18 Lazarov, Raytcho D. 18 Margenov, Svetozar D. 17 Neytcheva, Maya G. 16 Chung, Tsz Shun Eric 16 Ewing, Richard Edward 15 Lamichhane, Bishnu Prasad 14 Mardal, Kent-Andre 14 Notay, Yvan 14 Wohlmuth, Barbara I. 14 Xu, Jinchao 13 Efendiev, Yalchin R. 13 Manteuffel, Thomas A. 12 Galvis, Juan 12 Kolev, Tzanio V. 12 Langer, Ulrich 11 Kuchta, Miroslav 11 Shu, Shi 11 Zou, Qingsong 10 Antonietti, Paola Francesca 10 Gatica, Gabriel N. 10 Lymbery, Maria 10 Napov, Artem 10 Scheichl, Robert 10 Serra-Capizzano, Stefano 10 Zampini, Stefano 9 Bai, Zhongzhi 9 Castelletto, Nicola 9 Chen, Zhangxin 9 Franceschini, Andrea 9 Iliev, Oleg P. 9 Lee, Chak Shing 9 Pasciak, Joseph E. 9 Ruiz-Baier, Ricardo 9 Song, Huailing 9 Southworth, Ben S. 9 Villa, Umberto E. 8 Bacuta, Constantin 8 Bramble, James H. 8 D’Ambra, Pasqua 8 Ferronato, Massimiliano 8 Janna, Carlo 8 Marcinkowski, Leszek 8 Rahman, Talal 8 Schroder, Jacob B. 8 Szyld, Daniel B. 8 Winther, Ragnar 8 Xiao, Yingxiong 8 Yang, Qing 7 Adler, James H. 7 Chainais-Hillairet, Claire 7 Gaspar, Francisco José 7 Hamon, François P. 7 He, Yunhui 7 Li, Yonghai 7 Liang, Dong 7 Oh, Duk-Soon 7 Olson, Luke N. 7 Oyarzúa, Ricardo 7 Saad, Yousef 7 Sun, Tongjun 7 Wang, Junping 7 Xu, Xuejun 7 Ye, Xiu 7 Zhang, Zhimin 6 Barker, Andrew T. 6 Blaheta, Radim 6 Brenner, Susanne Cecelia 6 Bustinza, Rommel A. 6 Gopalakrishnan, Jay 6 Kalchev, Delyan Z. 6 Krause, Rolf H. 6 Ku, Jaeun 6 Leung, Wingtat 6 Liu, Jinn-Liang 6 Mu, Lin 6 Nataf, Frédéric 6 Neumüller, Martin 6 Pazner, Will E. 6 Rodrigo, Carmen 6 Sarkis, Marcus V. 6 White, Joshua A. 6 Widlund, Olof B. 6 Yang, Danping 6 Yang, Huidong 5 Anaya, Verónica 5 Barrios, Tomás P. 5 Bespalov, Alexei 5 Cai, Zhiqiang 5 di Serafino, Daniela 5 Dobrev, Veselin A. 5 Dostál, Zdeněk 5 Filippone, Salvatore 5 Georgiev, Ivan ...and 1,619 more Authors all top 5 Cited in 143 Serials 118 Numerical Linear Algebra with Applications 99 SIAM Journal on Scientific Computing 95 Journal of Computational and Applied Mathematics 93 Computer Methods in Applied Mechanics and Engineering 62 Computers & Mathematics with Applications 62 Journal of Computational Physics 53 Mathematics of Computation 48 Numerische Mathematik 34 Journal of Scientific Computing 33 Applied Numerical Mathematics 31 Numerical Methods for Partial Differential Equations 28 Applied Mathematics and Computation 25 SIAM Journal on Numerical Analysis 24 International Journal for Numerical Methods in Engineering 22 Computing 20 International Journal of Computer Mathematics 17 Linear Algebra and its Applications 15 BIT 14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 13 Mathematics and Computers in Simulation 13 Computational Geosciences 12 Calcolo 12 Numerical Algorithms 11 International Journal for Numerical Methods in Fluids 11 SIAM Journal on Matrix Analysis and Applications 11 ETNA. 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Terceira Série 3 International Journal of Computational Methods 3 Acta Numerica 3 International Journal of Numerical Analysis and Modeling 3 Sibirskie Èlektronnye Matematicheskie Izvestiya 3 S\(\vec{\text{e}}\)MA Journal 2 ACM Transactions on Mathematical Software 2 Journal of Computational Mathematics 2 Journal of Complexity 2 Computational Mathematics and Mathematical Physics 2 SIAM Review 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Engineering Analysis with Boundary Elements 2 Mathematical Problems in Engineering 2 Vietnam Journal of Mathematics 2 Engineering Computations 2 Mathematical Modelling and Analysis 2 Foundations of Computational Mathematics 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 GAMM-Mitteilungen 2 Networks and Heterogeneous Media 2 Science China. Mathematics 2 Communications on Applied Mathematics and Computation 2 Results in Applied Mathematics 2 Journal of Computational and Theoretical Transport 2 International Journal on Finite Volumes 1 Communications on Pure and Applied Mathematics 1 Journal of Engineering Mathematics 1 Chaos, Solitons and Fractals 1 Advances in Mathematics 1 Czechoslovak Mathematical Journal 1 Demonstratio Mathematica 1 Journal of the Korean Mathematical Society 1 Results in Mathematics 1 Computer Aided Geometric Design 1 Parallel Computing 1 Constructive Approximation 1 Communications in Applied Numerical Methods 1 Journal of Global Optimization 1 Journal of Mathematical Imaging and Vision 1 Applied and Computational Harmonic Analysis ...and 43 more Serials all top 5 Cited in 36 Fields 1,217 Numerical analysis (65-XX) 519 Partial differential equations (35-XX) 323 Fluid mechanics (76-XX) 135 Mechanics of deformable solids (74-XX) 37 Calculus of variations and optimal control; optimization (49-XX) 34 Linear and multilinear algebra; matrix theory (15-XX) 33 Optics, electromagnetic theory (78-XX) 29 Computer science (68-XX) 20 Statistical mechanics, structure of matter (82-XX) 17 Geophysics (86-XX) 16 Combinatorics (05-XX) 15 Probability theory and stochastic processes (60-XX) 13 Operations research, mathematical programming (90-XX) 12 Operator theory (47-XX) 11 Functional analysis (46-XX) 11 Classical thermodynamics, heat transfer (80-XX) 11 Biology and other natural sciences (92-XX) 10 Approximations and expansions (41-XX) 10 Integral equations (45-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Statistics (62-XX) 7 Real functions (26-XX) 7 Ordinary differential equations (34-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Systems theory; control (93-XX) 6 Information and communication theory, circuits (94-XX) 5 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Special functions (33-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 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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