Graeme Fairweather

5.2k total citations · 1 hit paper
126 papers, 4.2k citations indexed

About

Graeme Fairweather is a scholar working on Numerical Analysis, Computational Mechanics and Mechanics of Materials. According to data from OpenAlex, Graeme Fairweather has authored 126 papers receiving a total of 4.2k indexed citations (citations by other indexed papers that have themselves been cited), including 69 papers in Numerical Analysis, 67 papers in Computational Mechanics and 41 papers in Mechanics of Materials. Recurrent topics in Graeme Fairweather's work include Advanced Numerical Methods in Computational Mathematics (48 papers), Differential Equations and Numerical Methods (47 papers) and Numerical methods in engineering (37 papers). Graeme Fairweather is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (48 papers), Differential Equations and Numerical Methods (47 papers) and Numerical methods in engineering (37 papers). Graeme Fairweather collaborates with scholars based in United States, Cyprus and Canada. Graeme Fairweather's co-authors include Andréas Karageorghis, Bernard Bialecki, A. R. Mitchell, Ryan I. Fernandes, P. A. Martin, P. Keast, J.C. López-Marcos, D. J. Shippy, Amiya K. Pani and Roy L. Johnston and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Computational Physics and The Journal of the Acoustical Society of America.

In The Last Decade

Graeme Fairweather

122 papers receiving 3.7k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

The method of fundamental solutions for elliptic boundary value problems

1998 803 citations Graeme Fairweather, Andréas Karageorghis Advances in Computational Mathematics profile →

Peers

Graeme Fairweather

EEE

George J. Fix United States

Michael A. Golberg United States

Weiwei Sun China

Andréas Karageorghis Cyprus

Y.C. Hon Hong Kong

Alberto Valli Italy

E.J. Kansa United States

Raytcho Lazarov United States

Jichun Li United States

Wolfgang L. Wendland Germany

George J. Fix United States

Graeme Fairweather

1.5k ×0.8

767 ×0.5

2.1k ×1.4

299 ×0.4

725 ×1.0

EEE

Citations per year, relative to Graeme Fairweather Graeme Fairweather (= 1×) peers George J. Fix

Countries citing papers authored by Graeme Fairweather

Since Specialization

Citations

This map shows the geographic impact of Graeme Fairweather's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Graeme Fairweather with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Graeme Fairweather more than expected).

Fields of papers citing papers by Graeme Fairweather

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Graeme Fairweather. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Graeme Fairweather. The network helps show where Graeme Fairweather may publish in the future.

Co-authorship network of co-authors of Graeme Fairweather

This figure shows the co-authorship network connecting the top 25 collaborators of Graeme Fairweather. A scholar is included among the top collaborators of Graeme Fairweather based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Graeme Fairweather. Graeme Fairweather is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Fairweather, Graeme, et al.. (2024). An ADI Crank-Nicolson orthogonal spline collocation method for 2D parabolic problems with an interface. Computers & Mathematics with Applications. 160. 142–147. 1 indexed citations

Pani, Amiya K., et al.. (2024). An alternating direction implicit finite element Galerkin method for the linear Schrödinger equation. Numerical Algorithms. 97(3). 1039–1066.

Fairweather, Graeme, et al.. (2020). The Crank–Nicolson orthogonal spline collocation method for one-dimensional parabolic problems with interfaces. Journal of Computational and Applied Mathematics. 383. 113119–113119. 3 indexed citations

Li, Zhi, et al.. (2018). Performance analysis of error-control B-spline Gaussian collocation software for PDEs. Computers & Mathematics with Applications. 77(7). 1888–1901. 1 indexed citations

Pani, Amiya K., et al.. (2015). Alternating Direction Implicit Galerkin Methods for an Evolution Equation with a Positive-Type Memory Term. Journal of Scientific Computing. 65(3). 1166–1188. 14 indexed citations

Fernandes, Ryan I., Bernard Bialecki, & Graeme Fairweather. (2015). An ADI extrapolated Crank–Nicolson orthogonal spline collocation method for nonlinear reaction–diffusion systems on evolving domains. Journal of Computational Physics. 299. 561–580. 13 indexed citations

Du, Kui, Graeme Fairweather, & Weiwei Sun. (2014). Matrix decomposition algorithms for arbitrary order C0 tensor product finite element systems. Journal of Computational and Applied Mathematics. 275. 162–182. 1 indexed citations

Bialecki, Bernard, Graeme Fairweather, & J.C. López-Marcos. (2014). The Extrapolated Crank–Nicolson Orthogonal Spline Collocation Method for a Quasilinear Parabolic Problem with Nonlocal Boundary Conditions. Journal of Scientific Computing. 62(1). 265–283. 4 indexed citations

Bialecki, Bernard & Graeme Fairweather. (2001). Orthogonal spline collocation methods for partial differential equations. Journal of Computational and Applied Mathematics. 128(1-2). 55–82. 108 indexed citations

10.

Fairweather, Graeme & Andréas Karageorghis. (1998). The method of fundamental solutions for elliptic boundary value problems. Advances in Computational Mathematics. 9(1-2). 69–95. 803 indexed citations breakdown →

11.

Fairweather, Graeme, et al.. (1993). Direct numerical spline methods for first-order Fredholm integro-differential equations. SHILAP Revista de lepidopterología. 3 indexed citations

12.

Bialecki, Bernard & Graeme Fairweather. (1993). Matrix decomposition algorithms for separable elliptic boundary value problems in two space dimensions. Journal of Computational and Applied Mathematics. 46(3). 369–386. 26 indexed citations

13.

Fernandes, Ryan I. & Graeme Fairweather. (1993). Analysis of alternating direction collocation methods for parabolic and hyperbolic problems in two space variables. Numerical Methods for Partial Differential Equations. 9(2). 191–211. 46 indexed citations

14.

Bialecki, Bernard, et al.. (1992). Fast Direct Solvers for Piecewise Hermite Bicubic Orthogonal Spline Collocation Equations. SIAM Journal on Numerical Analysis. 29(1). 156–173. 55 indexed citations

15.

Shippy, D. J., et al.. (1992). Analysis of acoustic scattering in fluids and solids by the method of fundamental solutions. The Journal of the Acoustical Society of America. 91(4). 1844–1854. 51 indexed citations

16.

Shippy, D. J., et al.. (1990). Analysis of acoustic scattering in fluids and solids by the method of fundamental solutions. Mathematical and Computer Modelling. 14. 74–79. 11 indexed citations

17.

Fairweather, Graeme, et al.. (1988). Finite element methods for parabolic and hyperbolic partial integro-differential equations. Nonlinear Analysis. 12(8). 785–809. 156 indexed citations

18.

Johnston, Roy L. & Graeme Fairweather. (1984). The method of fundamental solutions for problems in potential flow. Applied Mathematical Modelling. 8(4). 265–270. 76 indexed citations

19.

Keast, P., Graeme Fairweather, & Juan Carlos Dı́az. (1983). A computational study of finite element methods for second order linear two-point boundary value problems. Mathematics of Computation. 40(162). 499–518. 8 indexed citations

20.

Fairweather, Graeme, et al.. (1983). On the Application of Extrapolation, Deferred Correction and Defect Correction to Discrete-time Galerkin Methods for Parabolic Problems. IMA Journal of Numerical Analysis. 3(2). 173–192. 3 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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