World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
42
Citations
6797
World Ranking
1803
National Ranking
772

Panayot S. Vassilevski publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Panayot S. Vassilevski sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 226 publications — 71st percentile

71% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Panayot S. Vassilevski D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Panayot S. Vassilevski sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 42 D-Index — 51st percentile

51% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Research.com Recognitions

  • 2018 - SIAM Fellow For designing algebraic approaches for creating and analyzing multilevel algorithms.

Overview

Panayot S. Vassilevski is affiliated with Lawrence Livermore National Laboratory in the United States, contributing extensively to the fields of Engineering and Computer Science. Their research spans a variety of subfields including Computational Mechanics, Computational Theory and Mathematics, Artificial Intelligence, Statistical and Nonlinear Physics, and Electrical and Electronic Engineering.

The primary research topics covered by their work include Advanced Numerical Methods in Computational Mathematics, Advanced Mathematical Modeling in Engineering, Matrix Theory and Algorithms, Electromagnetic Simulation and Numerical Methods, Complex Network Analysis Techniques, Advanced Graph Neural Networks, and Probabilistic and Robust Engineering Design.

Frequent collaborators in their research include Chak Shing Lee, François P. Hamon, Nicola Castelletto, Delyan Z. Kalchev, and Sarah Osborn.

Their publication record features papers in prominent venues such as arXiv (Cornell University), SIAM Journal on Scientific Computing, Numerical Linear Algebra with Applications, Computers & Mathematics with Applications, and Computer Methods in Applied Mechanics and Engineering.

Selected recent papers published by Panayot S. Vassilevski include:

  • Scalable hierarchical PDE sampler for generating spatially correlated random fields using nonmatching meshes: Scalable hierarchical PDE sampler using nonmatching meshes (2022), published in OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)
  • Multilevel graph embedding (2020), published in Numerical Linear Algebra with Applications
  • Matrix-Free High-Performance Saddle-Point Solvers for High-Order Problems in H(div) (2024), published in SIAM Journal on Scientific Computing
  • Nonlinear multigrid based on local spectral coarsening for heterogeneous diffusion problems (2020), published in Computer Methods in Applied Mechanics and Engineering
  • Estimating posterior quantity of interest expectations in a multilevel scalable framework (2020), published in Numerical Linear Algebra with Applications

They have been recognized as a SIAM Fellow in 2018 for designing algebraic approaches for creating and analyzing multilevel algorithms.

Best Publications

  • Algebraic multilevel preconditioning methods. I

    O. Axclsson;P. S. Vassilevski

  • Multilevel Block Factorization Preconditioners: Matrix-based Analysis and Algorithms for Solving Finite Element Equations

    Panayot S Vassilevski

  • Algebraic multilevel preconditioning methods, II

    O. Axelsson;P. S. VAssilevski

  • Finite volume methods for convection-diffusion problems

    R. D. Lazarov;Ilya D. Mishev;P. S. Vassilevski

  • On Generalizing the Algebraic Multigrid Framework

    Robert D. Falgout;Panayot S. Vassilevski

  • AMG E Based on Element Agglomeration

    Jim E. Jones;Panayot S. Vassilevski

  • A black box generalized conjugate gradient solver with inner iterations and variable-step preconditioning

    O. Axelsson;P. S. Vassilevski

  • The role of the strengthened Cauchy-Buniakowskii-Schwarz inequality in multilevel methods

    Victor Eijkhout;Panayot Vassilevski

  • Local refinement techniques for elliptic problems on cell-centered grids. I. Error analysis

    R. E. Ewing;R. D. Lazarov;P. S. Vassilevski

  • Recursive Krylov‐based multigrid cycles

    Yvan Notay;Panayot S. Vassilevski

  • On two‐grid convergence estimates

    Robert D. Falgout;Panayot S. Vassilevski;Ludmil Tomov Zikatanov

  • Spectral AMGe ($ ho$AMGe)

    T. Chartier;R. D. Falgout;V. E. Henson;J. Jones

  • Multiplier Spaces for the Mortar Finite Element Method in Three Dimensions

    Chisup Kim;Raytcho D. Lazarov;Joseph E. Pasciak

  • PARALLEL AUXILIARY SPACE AMG FOR H(curl) PROBLEMS

    Tzanio V. Kolev;Panayot S. Vassilevski

  • Computational scales of Sobolev norms with application to preconditioning

    James H. Bramble;Joseph E. Pasciak;Panayot S. Vassilevski;Panayot S. Vassilevski

  • Mixed finite element methods for incompressible flow: Stationary Stokes equations

    Zhiqiang Cai;Charles Tong;Panayot S. Vassilevski;Chunbo Wang

  • Two‐level preconditioning of discontinuous Galerkin approximations of second‐order elliptic equations

    Veselin A. Dobrev;Raytcho D. Lazarov;Raytcho D. Lazarov;Panayot S. Vassilevski;Ludmil T. Zikatanov

  • A general mixed covolume framework for constructing conservative schemes for elliptic problems

    So-Hsiang Chou;Panayot S. Vassilevski

  • Element-Free AMGe: General Algorithms for Computing Interpolation Weights in AMG

    Van Emden Henson;Panayot S. Vassilevski

  • Multilevel iterative methods for mixed finite element discretizations of elliptic problems

    Panayot S. Vassilevski;Junping Wang

  • Local refinement techniques for elliptic problems on cell-centered grids

    R. E. Ewing;R. D. Lazarov;P. S. Vassilevski

  • Local refinement techniques for elliptic problems on cell‐centered grids; II. Optimal order two‐grid iterative methods

    Richard E. Ewing;Raytcho D. Lazarov;Panayot S. Vassilevski

Frequent Co-Authors

Raytcho Lazarov
Raytcho Lazarov Texas A&M University
Joseph E. Pasciak
Joseph E. Pasciak Texas A&M University
Richard E. Ewing
Richard E. Ewing Texas A&M University
Thomas A. Manteuffel
Thomas A. Manteuffel University of Colorado Boulder
Randolph E. Bank
Randolph E. Bank University of California, San Diego
Robert D. Falgout
Robert D. Falgout Lawrence Livermore National Laboratory
Xiaoye S. Li
Xiaoye S. Li Lawrence Berkeley National Laboratory
Yalchin Efendiev
Yalchin Efendiev Texas A&M University
Jinchao Xu
Jinchao Xu Pennsylvania State University
Ragnar Winther
Ragnar Winther University of Oslo

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