World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
42
Citations
7881
World Ranking
1778
National Ranking
24

Engineering and Technology

D-Index
45
Citations
8065
World Ranking
5477
National Ranking
111

Cornelis Vuik 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 Cornelis Vuik 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: 354 publications — 91st percentile

91% of scientists in this discipline score the same or lower.

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

Cornelis Vuik 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 Cornelis Vuik 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.

Overview

Cornelis Vuik is affiliated with Delft University of Technology in the Netherlands. Their research spans the field of Engineering, with a concentration on Computational Mechanics, Electrical and Electronic Engineering, Computational Theory and Mathematics, Environmental Engineering, and Mechanical Engineering. The scope of their work addresses advanced numerical methods, matrix theory, and hydraulic fracturing among other topics.

The scientist has contributed extensively to the following research topics:

  • Advanced Numerical Methods in Computational Mathematics
  • Advanced Numerical Analysis Techniques
  • Matrix Theory and Algorithms
  • Electromagnetic Scattering and Analysis
  • Numerical methods in engineering
  • Hydraulic Fracturing and Reservoir Analysis
  • Groundwater flow and contamination studies

Frequent publication venues for their work include:

  • arXiv (Cornell University)
  • Journal of Computational and Applied Mathematics
  • Advances in Water Resources
  • Computer Methods in Applied Mechanics and Engineering
  • Fluids

Recent papers authored or co-authored by Cornelis Vuik include:

  • CO2 Storage in deep saline aquifers: impacts of fractures on hydrodynamic trapping, 2021, International Journal of Greenhouse Gas Control
  • Analysis of hydrodynamic trapping interactions during full-cycle injection and migration of CO2 in deep saline aquifers, 2021, Advances in Water Resources
  • Projection-based embedded discrete fracture model (pEDFM) for flow and heat transfer in real-field geological formations with hexahedral corner-point grids, 2021, Advances in Water Resources
  • An efficient adaptive implicit scheme with equivalent continuum approach for two-phase flow in fractured vuggy porous media, 2022, Advances in Water Resources
  • A stabilized mixed-FE scheme for frictional contact and shear failure analyses in deformable fractured media, 2022, Engineering Fracture Mechanics

They have collaborated frequently with researchers including Matthias Möller, Vandana Dwarka, Hadi Hajibeygi, Roel Tielen, and Luyu Wang.

Cornelis Vuik has authored books published by Springer Nature, such as:

  • Numerical Mathematics and Advanced Applications ENUMATH 2019, 2021
  • Isogeometric Analysis and Applications 2018, 2021

Best Publications

  • GMRESR: a family of nested GMRES methods

    H. A. Van der Vorst;C. Vuik

  • A Novel Multigrid Based Preconditioner For Heterogeneous Helmholtz Problems

    Y. A. Erlangga;C. W. Oosterlee;C. Vuik

  • On a class of preconditioners for solving the Helmholtz equation

    Y. A. Erlangga;C. Vuik;C. W. Oosterlee

  • A mass‐conserving Level‐Set method for modelling of multi‐phase flows

    S. P. van der Pijl;A. Segal;C. Vuik;P. Wesseling

  • The superlinear convergence behaviour of GMRES

    H. A. van der Vorst;C. Vuik

  • A comparison of numerical models for one-dimensional Stefan problems

    E. Javierre;C. Vuik;F. J. Vermolen;S. van der Zwaag

  • The dependence of the β-AlFeSi to α-Al(FeMn)Si transformation kinetics in Al–Mg–Si alloys on the alloying elements

    N.C.W. Kuijpers;F.J. Vermolen;C. Vuik;P.T.G. Koenis

  • On the Construction of Deflation-Based Preconditioners

    J. Frank;C. Vuik

  • An Efficient Preconditioned CG Method for the Solution of a Class of Layered Problems with Extreme Contrasts in the Coefficients

    C Vuik;A Segal;J.A Meijerink

  • Comparison of Two-Level Preconditioners Derived from Deflation, Domain Decomposition and Multigrid Methods

    J. M. Tang;R. Nabben;C. Vuik;Y. A. Erlangga

  • Spectral Analysis of the Discrete Helmholtz Operator Preconditioned with a Shifted Laplacian

    M. B. van Gijzen;Y. A. Erlangga;C. Vuik

  • Modelling Biogrout: A new ground improvement method based on microbial induced carbonate precipitation

    W. K. van Wijngaarden;F. J. Vermolen;G. A. M. van Meurs;C. Vuik

  • A Comparison of Deflation and Coarse Grid Correction Applied to Porous Media Flow

    R. Nabben;C. Vuik

  • A conservative pressure-correction method for flow at all speeds

    D.R. van der Heul;C. Vuik;P. Wesseling

  • Comparison of multigrid and incomplete LU shifted-Laplace preconditioners for the inhomogeneous Helmholtz equation

    Y. A. Erlangga;C. Vuik;C. W. Oosterlee

  • On the impact of quantum computing technology on future developments in high-performance scientific computing

    Matthias Möller;Cornelis Vuik

  • SIMPLE‐type preconditioners for cell‐centered, colocated finite volume discretization of incompressible Reynolds‐averaged Navier–Stokes equations

    C. M. Klaij;C. Vuik

  • A Comparison of Deflation and the Balancing Preconditioner

    R. Nabben;C. Vuik

  • A parallel multigrid-based preconditioner for the 3D heterogeneous high-frequency Helmholtz equation

    C. D. Riyanti;A. Kononov;Y. A. Erlangga;C. Vuik

  • Solution of the discretized incompressible Navier‐Stokes equations with the GMRES method

    C. Vuik

  • A new iterative solver for the time-harmonic wave equation

    C. D. Riyanti;Y. A. Erlangga;Rene Edouard Plessix;Wim A. Mulder

Frequent Co-Authors

S. van der Zwaag
S. van der Zwaag Delft University of Technology
Cornelis W. Oosterlee
Cornelis W. Oosterlee Utrecht University
Chris R. Kleijn
Chris R. Kleijn Delft University of Technology
Michel Verhaegen
Michel Verhaegen Delft University of Technology
Jan Dirk Jansen
Jan Dirk Jansen Delft University of Technology
Jilt Sietsma
Jilt Sietsma Delft University of Technology
Serge P. Hoogendoorn
Serge P. Hoogendoorn Delft University of Technology
H.A. van der Vorst
H.A. van der Vorst Utrecht University
Johannes M. C. Mol
Johannes M. C. Mol Delft University of Technology
Laurens Katgerman
Laurens Katgerman Delft University of Technology

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