World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
40
Citations
5344
World Ranking
2091
National Ranking
140

Ivan G. Graham 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 Ivan G. Graham 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: 125 publications — 23rd percentile

23% of scientists in this discipline score the same or lower.

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

Ivan G. Graham 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 Ivan G. Graham 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: 40 D-Index — 45th percentile

45% of scientists in this discipline score the same or lower.

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

Overview

Ivan G. Graham is affiliated with the University of Bath in the United Kingdom. Their research primarily focuses on engineering, with a specialization in computational mechanics among other related subfields.

The main fields of study embraced in their work include:

  • Engineering

Key subfields of study covered by their publications are:

  • Computational Mechanics
  • Electrical and Electronic Engineering
  • Mechanics of Materials
  • Computational Theory and Mathematics
  • Atomic and Molecular Physics, and Optics

The scientific topics they investigate involve:

  • Advanced Numerical Methods in Computational Mathematics
  • Electromagnetic Simulation and Numerical Methods
  • Numerical methods in engineering
  • Advanced Mathematical Modeling in Engineering
  • Electromagnetic Scattering and Analysis
  • Probabilistic and Robust Engineering Design
  • Numerical methods in inverse problems

Their recent papers span between 2020 and 2022 and have been published in various peer-reviewed journals. These papers include:

  • "Domain Decomposition with Local Impedance Conditions for the Helmholtz Equation with Absorption", 2020, SIAM Journal on Numerical Analysis
  • "Domain decomposition preconditioners for high-order discretizations of the heterogeneous Helmholtz equation", 2020, IMA Journal of Numerical Analysis
  • "Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation", 2022, Numerische Mathematik
  • "Convergence of restricted additive Schwarz with impedance transmission conditions for discretised Helmholtz problems", 2022, Mathematics of Computation
  • "Overlapping Schwarz methods with GenEO coarse spaces for indefinite and nonself-adjoint problems", 2022, IMA Journal of Numerical Analysis

Their work has accrued citations reflecting engagement within the academic community, with the most cited paper reaching 37 citations.

Frequent co-authors collaborating with them include:

  • Euan A. Spence
  • Robert Scheichl
  • Shihua Gong
  • Victorita Dolean
  • Martin J. Gander

Publication venues where their work often appears include:

  • arXiv (Cornell University)
  • IMA Journal of Numerical Analysis
  • SIAM Journal on Numerical Analysis
  • Mathematics of Computation
  • Numerische Mathematik

Best Publications

  • Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth

    M.A.J. Chaplain;M. Ganesh;I.G. Graham

  • Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering ∗

    Simon N. Chandler-Wilde;Ivan G. Graham;Stephen Langdon;Euan A. Spence

  • A new multiscale finite element method for high-contrast elliptic interface problems

    C.-C. Chu;C.-C. Chu;Ivan G. Graham;T.-Y. Hou

  • Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications

    I. G. Graham;F. Y. Kuo;D. Nuyens;R. Scheichl

  • Domain decomposition for multiscale PDEs

    I. G. Graham;P. O. Lechner;R. Scheichl

  • Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients

    I. G. Graham;F. Y. Kuo;J. A. Nichols;R. Scheichl

  • A high-order algorithm for obstacle scattering in three dimensions

    M. Ganesh;I. G. Graham

  • Piecewise Continuous Collocation for Integral Equations

    K. Atkinson;I. Graham;I. Sloan

  • Applying GMRES to the Helmholtz equation with shifted Laplacian preconditioning: what is the largest shift for which wavenumber-independent convergence is guaranteed?

    M. J. Gander;I. G. Graham;E. A. Spence

  • A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering

    V. Domínguez;I. G. Graham;V. P. Smyshlyaev

  • Stability and error estimates for Filon–Clenshaw–Curtis rules for highly oscillatory integrals

    Victor Dominguez;Ivan Graham;Valery Smyshlyaev

  • Fully discrete spectral boundary integral methods for Helmholtz problems on smooth closed surfaces in ${\mathbb R}^3$

    Ivan G. Graham;Ian H. Sloan

  • Inexact inverse iteration for symmetric matrices

    Jörg Berns-Müller;Ivan G. Graham;Alastair Spence

  • Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method

    Wolfgang Dahmen;Birgit Faermann;Ivan G. Graham;Wolfgang Hackbusch

  • Finite elements on degenerate meshes: inverse-type inequalities and applications

    Ivan G. Graham;Wolfgang Hackbusch;Stefan A. Sauter

  • Product integration-collocation methods for noncompact integral operator equations

    G. A. Chandler;I. G. Graham

  • High-order methods for linear functionals of solutions of second kind integral equations

    I. G. Graham;G. A. Chandler

  • Unstructured Additive Schwarz--Conjugate Gradient Method for Elliptic Problems with Highly Discontinuous Coefficients

    I. G. Graham;M. J. Hagger

  • Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation

    Timo Betcke;Simon Neil Chandler-Wilde;I. G. Graham;Stephen Langdon

  • A Convergent Adaptive Method for Elliptic Eigenvalue Problems

    S. Giani;I. G. Graham

  • Numerical Analysis of Multiscale Problems

    Ivan G. Graham;Thomas Y. Hou;Omar Lakkis;Robert Scheichl

Frequent Co-Authors

Robert Scheichl
Robert Scheichl Heidelberg University
Ian H. Sloan
Ian H. Sloan University of New South Wales
Frances Y. Kuo
Frances Y. Kuo University of New South Wales
Stefan A. Sauter
Stefan A. Sauter University of Zurich
Simon N. Chandler-Wilde
Simon N. Chandler-Wilde University of Reading
Wolfgang Hackbusch
Wolfgang Hackbusch Max Planck Institute for Mathematics in the Sciences
Kendall Atkinson
Kendall Atkinson University of Iowa
Thomas Y. Hou
Thomas Y. Hou California Institute of Technology

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