World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
40
Citations
6636
World Ranking
2057
National Ranking
872

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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