William Layton

6.6k total citations
161 papers, 4.8k citations indexed

About

William Layton is a scholar working on Computational Mechanics, Numerical Analysis and Computational Theory and Mathematics. According to data from OpenAlex, William Layton has authored 161 papers receiving a total of 4.8k indexed citations (citations by other indexed papers that have themselves been cited), including 131 papers in Computational Mechanics, 42 papers in Numerical Analysis and 39 papers in Computational Theory and Mathematics. Recurrent topics in William Layton's work include Advanced Numerical Methods in Computational Mathematics (89 papers), Computational Fluid Dynamics and Aerodynamics (59 papers) and Fluid Dynamics and Turbulent Flows (58 papers). William Layton is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (89 papers), Computational Fluid Dynamics and Aerodynamics (59 papers) and Fluid Dynamics and Turbulent Flows (58 papers). William Layton collaborates with scholars based in United States, China and Germany. William Layton's 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 and has published in prestigious journals such as Journal of Computational Physics, Computer Methods in Applied Mechanics and Engineering and Mathematics of Computation.

In The Last Decade

William Layton

153 papers receiving 4.4k citations

Peers

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-authorship network of co-authors of William Layton

This figure shows the co-authorship network connecting the top 25 collaborators of William Layton. A scholar is included among the top collaborators of William Layton 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 William Layton. William Layton is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

#	Work	Indexed citations
1	Adaptive parameter selection in nudging based data assimilation 2024 ·Computer Methods in Applied Mechanics and Engineering ·(unknown), (unknown), William Layton, (unknown)	1
2	Numerical analysis of a 1/2-equation model of turbulence 2024 ·Physica D Nonlinear Phenomena ·(unknown), (unknown), William Layton	2
3	Conditioning of linear systems arising from penalty methods 2023 ·ETNA - Electronic Transactions on Numerical Analysis ·William Layton, (unknown)	4
4	Modeling and simulation of turbulence not at statistical equilibrium 2016 ·Bulletin of the American Physical Society ·(unknown), Peyman Givi, William Layton	1
5	Algorithms and models for turbulence not at statistical equilibrium 2015 ·Computers & Mathematics with Applications ·Nan Jiang, William Layton	13
6	Recent developments in IMEX methods with time filters for systems of evolution equations 2015 ·Journal of Computational and Applied Mathematics ·William Layton, Yong Li, Cătălin Trenchea	15
7	A Crank–Nicolson Leapfrog stabilization: Unconditional stability and two applications 2014 ·Journal of Computational and Applied Mathematics ·Nan Jiang, (unknown), William Layton, (unknown), Hoang Tran	20
8	Long time stability of four methods for splitting the evolutionary Stokes–Darcy problem into Stokes and Darcy subproblems 2012 ·Journal of Computational and Applied Mathematics ·William Layton, Hoang Tran, Xin Xiong	48
9	The Das–Moser commutator closure for filtering through a boundary is well-posed 2010 ·Mathematical and Computer Modelling ·William Layton, Cătălin Trenchea	1
10	On Taylor/Eddy solutions of approximate deconvolution models of turbulence 2010 ·Applied Mathematics Letters ·William Layton	4
11	Existence of smooth attractors for the Navier–Stokes-omega model of turbulence 2009 ·Journal of Mathematical Analysis and Applications ·William Layton	6
12	Truncation of scales by time relaxation 2006 ·Journal of Mathematical Analysis and Applications ·William Layton, Monika Neda	53
13	IMPLICIT FOR LOCAL EFFECTS AND EXPLICIT FOR NONLOCAL EFFECTS IS UNCONDITIONALLY STABLE 2004 ·ETNA - Electronic Transactions on Numerical Analysis ·Mihai Anitescu, (unknown), William Layton	34
14	A simple and stable scale-similarity model for large Eddy simulation: Energy balance and existence of weak solutions 2003 ·Applied Mathematics Letters ·William Layton, Roger Lewandowski	51
15	Analysis of a Scale-Similarity Model of the Motion of Large Eddies in Turbulent Flows 2001 ·Journal of Mathematical Analysis and Applications ·William Layton	8
16	Weak imposition of “no-slip” conditions in finite element methods 1999 ·Computers & Mathematics with Applications ·William Layton	26
17	A two-level discretization method for the Navier-Stokes equations 1993 ·Computers & Mathematics with Applications ·William Layton	150
18	On the behavior over long time intervals of finite difference and finite element approximations to first order hyperbolic systems 1985 ·Computers & Mathematics with Applications ·William Layton	0
19	Error estimates for finite difference approximations to hyperbolic equations for large time 1984 ·Proceedings of the American Mathematical Society ·William Layton	2
20	Periodic solutions of nonlinear delay equations 1980 ·Journal of Mathematical Analysis and Applications ·William Layton	18

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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