William Layton

6.7k citations
162 papers · 4.9k · h-index 40

Impact in

    • Advanced Numerical Methods in Computational Mathematics
    • Computational Fluid Dynamics and Aerodynamics
    • Fluid Dynamics and Turbulent Flows
    • Lattice Boltzmann Simulation Studies
    • Numerical methods for differential equations
    • Differential Equations and Numerical Methods

Papers in

    • Advanced Numerical Methods in Computational Mathematics 89
    • Computational Fluid Dynamics and Aerodynamics 59
    • Fluid Dynamics and Turbulent Flows 58
    • Lattice Boltzmann Simulation Studies 12
    • Differential Equations and Numerical Methods 27
    • Numerical methods for differential equations 21

William Layton

153 papers receiving 4.5k citations

Peers

William Layton
Comparison fields: 5 of 87
  • Computational Mechanics 4.4k
  • Numerical Analysis 966
  • Computational Theory and Mathematics 1.4k
  • Applied Mathematics 410
  • Statistical and Nonlinear Physics 429
Replace Alexandre Ern with:
Alexandre Ern France
Weizhang Huang United States
Jan Nordström Sweden
Alberto Valli Italy
David W. Zingg Canada
Mark H. Carpenter United States
Michael Hinze Germany
Jacques Rappaz Switzerland
Mikhail Shashkov United States
Ragnar Winther Norway
William Layton relative to Alexandre Ern France Alexandre Ern's profile →
Citations per field
00.5×1.5×
Alexandre Ern · 1×
Citations per year

Countries citing papers authored by William Layton

Since Specialization
Citations

This map shows the geographic impact of William Layton'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 William Layton with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites William Layton more than expected).

Fields of papers citing papers by William Layton

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by William Layton. 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 William Layton. The network helps show where William Layton may publish in the future.

Co-authors

The 25 scholars most cited alongside William Layton, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with William Layton Line = papers co-authored together William Layton links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 162 papers — load more, or switch the sort, to bring in the rest.

#Work
1 2002455
2 2006255
3 2008223
4 1998178
5 1993151
6 2013117
7 1990112
8 2012112
9 1995106
10 2002104
11 200996
12 200094
13 199094
14 199690
15 200581
16 200676
17 200276
18 199870
19 199669
20 200765

About William Layton

William Layton is a scholar working on Computational Mechanics, Numerical Analysis, Computational Theory and Mathematics, Applied Mathematics and Atmospheric Science, having authored 162 papers that have together received 4.9k indexed citations. Recurring topics across this work include Advanced Numerical Methods in Computational Mathematics (89 papers), Computational Fluid Dynamics and Aerodynamics (59 papers), Fluid Dynamics and Turbulent Flows (58 papers), Advanced Mathematical Modeling in Engineering (27 papers), Differential Equations and Numerical Methods (27 papers), Numerical methods for differential equations (21 papers), Meteorological Phenomena and Simulations (15 papers) and Lattice Boltzmann Simulation Studies (12 papers). The work is most often cited by research in Computational Mechanics (4.4k citations), Numerical Analysis (966 citations), Computational Theory and Mathematics (1.4k citations), Applied Mathematics (410 citations) and Statistical and Nonlinear Physics (429 citations). William Layton has collaborated with scholars based in United States, China and Türkiye. Frequent co-authors include Ivan Yotov, Friedhelm Schieweck, Leo G. Rebholz, Cătălin Trenchea, Monika Neda, Roger Lewandowski, Traian Iliescu, Lutz Tobiska, Luigi C. Berselli and Nan Jiang. Their work appears in journals such as SIAM Journal on Numerical Analysis, Numerical Methods for Partial Differential Equations, Computers & Mathematics with Applications, Computer Methods in Applied Mechanics and Engineering and Journal of Mathematical Analysis and Applications.

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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