World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
41
Citations
8741
World Ranking
1883
National Ranking
803

Engineering and Technology

D-Index
42
Citations
8960
World Ranking
6432
National Ranking
1767

Randolph E. Bank 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 Randolph E. Bank 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: 107 publications — 14th percentile

14% of scientists in this discipline score the same or lower.

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

Randolph E. Bank 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 Randolph E. Bank 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: 41 D-Index — 49th percentile

49% 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

  • 2013 - SIAM Fellow For contributions to multilevel iterative methods and adaptive numerical methods for partial differential equations.

Overview

Randolph E. Bank is affiliated with the University of California, San Diego in the United States. Their research spans multiple fields, including Engineering, Computer Science, and Physics and Astronomy, reflecting an interdisciplinary approach to scientific inquiry.

Their work covers several specialized subfields such as Computational Mechanics, Computer Networks and Communications, and Atomic and Molecular Physics, and Optics. These subfields connect to broader topics addressed by their research efforts, particularly Advanced Numerical Methods in Computational Mathematics, Distributed and Parallel Computing Systems, and Electromagnetic Scattering and Analysis.

One notable recent publication by Randolph E. Bank is titled A Semi-Algebraic Two Level Solver, published in 2021 in the International Journal of Computing and Visualization in Science and Engineering. This journal is also the primary venue for their scholarly articles. The paper contributes to the literature in computational and visualization sciences.

  • Advanced Numerical Methods in Computational Mathematics
  • Distributed and Parallel Computing Systems
  • Electromagnetic Scattering and Analysis

  • A Semi-Algebraic Two Level Solver, 2021, International Journal of Computing and Visualization in Science and Engineering

  • Robert D. Falgout

  • International Journal of Computing and Visualization in Science and Engineering

Randolph E. Bank's contributions to scientific computing have been formally recognized through the award of SIAM Fellow in 2013. The award citation notes their work on multilevel iterative methods and adaptive numerical methods for partial differential equations.

Best Publications

  • Some a posteriori error estimators for elliptic partial differential equations

    R. E. Bank;A. Weiser

  • An optimal order process for solving finite element equations

    Randolph E. Bank;Todd Dupont

  • Some errors estimates for the box method

    Randolph E. Bank;Donald J. Rose

  • The hierarchical basis multigrid method

    Randolph E. Bank;Todd F. Dupont;Harry Yserentant

  • A posteriori error estimates based on hierarchical bases

    Randolph E. Bank;R. Kent Smith

  • Global approximate Newton methods

    R. E. Bank;D. J. Rose

  • A class of iterative methods for solving saddle point problems

    Randolph E. Bank;Bruno D. Welfert;Harry Yserentant

  • Hierarchical bases and the finite element method

    Randolph E. Bank

  • Asymptotically Exact A Posteriori Error Estimators, Part I: Grids with Superconvergence

    Randolph E. Bank;Jinchao Xu

  • A New Paradigm for Parallel Adaptive Meshing Algorithms

    Randolph E. Bank;Michael Holst

  • Sharp Estimates for Multigrid Rates of Convergence with General Smoothing and Acceleration

    Randolph E. Bank;Craig C. Douglas

  • Mesh Smoothing Using A Posteriori Error Estimates

    Randolph E. Bank;R. Kent Smith

  • Semiconductor device simulation

    W. Fichtner;D.J. Rose;R.E. Bank

  • A posteriori error estimates for the Stokes problem

    Randolph E. Bank;Bruno D. Welfert

  • Asymptotically Exact A Posteriori Error Estimators, Part II: General Unstructured Grids

    Randolph E. Bank;Jinchao Xu

  • An algorithm for coarsening unstructured meshes

    Randolph E. Bank;Jinchao Xu

  • Marching Algorithms for Elliptic Boundary Value Problems. I: The Constant Coefficient Case

    Randolph E. Bank;Donald J. Rose

  • Analysis of a multilevel iterative method for nonlinear finite element equations

    Randolph E. Bank;Donald J. Rose

  • Parameter Selection for Newton-Like Methods Applicable to Nonlinear Partial Differential Equations

    R. E. Bank;D. J. Rose

  • An adaptive, multi-level method for elliptic boundary value problems

    Randolph E. Bank;Andrew H. Sherman

Frequent Co-Authors

Jinchao Xu
Jinchao Xu Pennsylvania State University
Michael Holst
Michael Holst University of California, San Diego
Tony F. Chan
Tony F. Chan University of California, Los Angeles
Panayot S. Vassilevski
Panayot S. Vassilevski Lawrence Livermore National Laboratory
Todd Dupont
Todd Dupont University of Chicago
Philip E. Gill
Philip E. Gill University of California, San Diego
Robert D. Falgout
Robert D. Falgout Lawrence Livermore National Laboratory
Andrew D. McCulloch
Andrew D. McCulloch University of California, San Diego
Steven Constable
Steven Constable University of California, San Diego

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