World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
40
Citations
6636
World Ranking
2057
National Ranking
873

Graeme Fairweather 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 Graeme Fairweather 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: 132 publications — 28th percentile

28% of scientists in this discipline score the same or lower.

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

Graeme Fairweather 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 Graeme Fairweather 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

Graeme Fairweather is affiliated with the Colorado School of Mines in the United States. Their research primarily focuses on mathematics and engineering, with significant work in numerical analysis and computational mechanics. Contributions also extend to mechanics of materials, electrical and electronic engineering, and atomic and molecular physics, and optics.

The main themes in their work include differential equations and numerical methods, advanced numerical methods in computational mathematics, numerical methods for differential equations, and numerical methods in engineering. Additional topics encompass electromagnetic simulation and numerical methods, electromagnetic scattering and analysis, and fractional differential equations solutions.

Fairweather's frequent coauthors include Santosh Kumar Bhal, P. Danumjaya, Amiya K. Pani, Morrakot Khebchareon, and Ryan I. Fernandes.

Publication venues where Fairweather's work has appeared multiple times are:

  • Numerical Algorithms
  • Numerical Methods for Partial Differential Equations
  • SSRN Electronic Journal
  • CALCOLO
  • Journal of Computational and Applied Mathematics

Selected recent papers demonstrating Fairweather's research include:

  • "An alternating direction implicit finite element Galerkin method for the linear Schrödinger equation," 2024, Numerical Algorithms
  • "ADI Finite Element Galerkin Methods for Two-dimensional Tempered Fractional Integro-differential Equations," 2023, CALCOLO
  • "The Crank-Nicolson orthogonal spline collocation method for one-dimensional parabolic problems with interfaces," 2020, Journal of Computational and Applied Mathematics
  • "High-order orthogonal spline collocation methods for two-point boundary value problems with interfaces," 2020, Mathematics and Computers in Simulation
  • "A fourth-order orthogonal spline collocation method for two-dimensional Helmholtz problems with interfaces," 2020, Numerical Methods for Partial Differential Equations

Best Publications

  • The method of fundamental solutions for elliptic boundary value problems

    Graeme Fairweather;Andreas Karageorghis

  • The method of fundamental solutions for scattering and radiation problems

    Graeme Fairweather;Andreas Karageorghis;P.A. Martin

  • The method of fundamental solutions for the numerical solution of the biharmonic equation

    Andreas Karageorghis;Graeme Fairweather

  • Finite Element Galerkin Methods for Differential Equations

    Graeme Fairweather

  • Finite element methods for parabolic and hyperbolic partial integro-differential equations

    Elizabeth G. Yanik;Graeme Fairweather

  • The current state and future direction of Eulerian models in simulating the tropospheric chemistry and transport of trace species: a review

    Leonard K. Peters;Carl M. Berkowitz;Gregory R. Carmichael;Richard C. Easter

  • Orthogonal spline collocation methods for partial differential equations

    B. Bialecki;G. Fairweather

  • FORTRAN Packages for Solving Certain Almost Block Diagonal Linear Systems by Modified Alternate Row and Column Elimination

    J. C. Diaz;G. Fairweather;P. Keast

  • H1‐Galerkin mixed finite element methods for parabolic partial integro‐differential equations

    Amiya K. Pani;Graeme Fairweather

  • THREE-LEVEL GALERKIN METHODS FOR PARABOLIC EQUATIONS*

    Todd Dupont;Graeme Fairweather;J. Peter Johnson

  • On the numerical solution of two-dimensional potential problems by an improved boundary integral equation method☆

    Graeme Fairweather;Frank J Rizzo;David J Shippy;Yensen S Wu

  • A New Computational Procedure for A.D.I. Methods

    G. Fairweather;A. R. Mitchell

  • Spline collocation methods for a class of hyperbolic partial integro-differential equations

    Graeme Fairweather

  • Orthogonal spline collocation methods for some partial integrodifferential equations

    Yi Yan;Graeme Fairweather

  • Improved forms of the alternating direction methods of Douglas, Peaceman, and Rachford for solving parabolic and elliptic equations

    A. R. Mitchell;G. Fairweather

  • Remark on “Algorithm 603: COLROW and ARCECO: FORTRAN Packages for Solving Certain Almost Block Diagonal Linear Systems by Modified Alternate Row and Column Elimination”

    J. C. Díaz;G. Fairweather;P. Keast

  • The method of fundamental solutions for axisymmetric potential problems

    Andreas Karageorghis;Graeme Fairweather

  • Analysis of acoustic scattering in fluids and solids by the method of fundamental solutions.

    Prasanna S. Kondapalli;David J. Shippy;Graeme Fairweather

  • The Reformulation and Numerical Solution of Certain Nonclassical Initial-Boundary Value Problems.

    Graeme Fairweather;Rick D. Saylor

  • Analysis of alternating direction collocation methods for parabolic and hyperbolic problems in two space variables

    Ryan I. Fernandes;Graeme Fairweather

Frequent Co-Authors

Weiwei Sun
Weiwei Sun United International College
Andreas Karageorghis
Andreas Karageorghis University of Cyprus
Mark E. Davis
Mark E. Davis California Institute of Technology
Gregory R. Carmichael
Gregory R. Carmichael University of Iowa
Lai-yung Ruby Leung
Lai-yung Ruby Leung Pacific Northwest National Laboratory
Steven J. Ghan
Steven J. Ghan Pacific Northwest National Laboratory
Carlos Alberto Brebbia
Carlos Alberto Brebbia Wessex Institute of Technology
Yanping Lin
Yanping Lin Hong Kong Polytechnic University
Richard C. Easter
Richard C. Easter Pacific Northwest National Laboratory
I. M. Navon
I. M. Navon Florida State University

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