Clayton Webster

3.3k total citations · 1 hit paper
45 papers, 1.8k citations indexed

About

Clayton Webster is a scholar working on Statistics, Probability and Uncertainty, Computational Mechanics and Statistical and Nonlinear Physics. According to data from OpenAlex, Clayton Webster has authored 45 papers receiving a total of 1.8k indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Statistics, Probability and Uncertainty, 15 papers in Computational Mechanics and 9 papers in Statistical and Nonlinear Physics. Recurrent topics in Clayton Webster's work include Probabilistic and Robust Engineering Design (26 papers), Model Reduction and Neural Networks (7 papers) and Advanced Numerical Methods in Computational Mathematics (6 papers). Clayton Webster is often cited by papers focused on Probabilistic and Robust Engineering Design (26 papers), Model Reduction and Neural Networks (7 papers) and Advanced Numerical Methods in Computational Mathematics (6 papers). Clayton Webster collaborates with scholars based in United States, Canada and Germany. Clayton Webster's co-authors include Fabio Nobile, Raúl Tempone, Guannan Zhang, Max Gunzburger, Michael Eldred, Paul G. Constantine, Miroslav Stoyanov, Hoang Tran, Dan Lu and Aretha L. Teckentrup and has published in prestigious journals such as SHILAP Revista de lepidopterología, Water Resources Research and Journal of Computational Physics.

In The Last Decade

Clayton Webster

43 papers receiving 1.7k citations

Hit Papers

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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.

A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data

2008 668 citations Clayton Webster et al. SIAM Journal on Numerical Analysis profile →

Peers

Countries citing papers authored by Clayton Webster

Since Specialization

Citations

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

Fields of papers citing papers by Clayton Webster

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Clayton Webster

This figure shows the co-authorship network connecting the top 25 collaborators of Clayton Webster. A scholar is included among the top collaborators of Clayton Webster 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 Clayton Webster. Clayton Webster 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	Analysis of sparse recovery for Legendre expansions using envelope bound 2022 ·Numerical Methods for Partial Differential Equations ·Hoang Tran, Clayton Webster	1
2	Sparse Polynomial Approximation of High-Dimensional Functions 2022 ·Society for Industrial and Applied Mathematics eBooks ·Ben Adcock, Simone Brugiapaglia, Clayton Webster	31
3	Analytic continuation of noisy data using Adams Bashforth residual neural network 2021 ·Discrete and Continuous Dynamical Systems - S ·Xuping Xie, Feng Bao, Thomas Maier, Clayton Webster	3
4	Analysis of the ratio of ℓ1 and ℓ2 norms in compressed sensing 2021 ·Applied and Computational Harmonic Analysis ·(unknown), Akil Narayan, Hoang Tran, Clayton Webster	18
5	On the Lebesgue constant of weighted Leja points for Lagrange interpolation on unbounded domains 2018 ·IMA Journal of Numerical Analysis ·(unknown), Clayton Webster, Guannan Zhang	13
6	Polynomial approximation of high-dimensional functions via compressed sensing 2017 ·arXiv (Cornell University) ·Ben Adcock, Simone Brugiapaglia, Clayton Webster	1
7	Unified sufficient conditions for uniform recovery of sparse signals via nonconvex minimizations 2017 ·arXiv (Cornell University) ·Hoang Tran, Clayton Webster	3
8	An improved multilevel Monte Carlo method for estimating probability distribution functions in stochastic oil reservoir simulations 2016 ·Water Resources Research ·Dan Lu, Guannan Zhang, Clayton Webster, Charlotte Barbier	26
9	A dynamically adaptive sparse grids method for quasi-optimal interpolation of multidimensional functions 2016 ·Computers & Mathematics with Applications ·Miroslav Stoyanov, Clayton Webster	31
10	Explicit cost bounds of stochastic Galerkin approximations for parameterized PDEs with random coefficients 2016 ·Computers & Mathematics with Applications ·Nick Dexter, Clayton Webster, Guannan Zhang	3
11	Accelerating Stochastic Collocation Methods for Partial Differential Equations with Random Input Data 2016 ·SIAM/ASA Journal on Uncertainty Quantification ·D. Galindo, (unknown), Clayton Webster, Guannan Zhang	2
12	Reduced basis methods for nonlocal diffusion problems with random input data 2016 ·Computer Methods in Applied Mechanics and Engineering ·(unknown), Max Gunzburger, Clayton Webster, Guannan Zhang	9
13	Numerical methods for a class of nonlocal diffusion problems with the use of backward SDEs 2015 ·Computers & Mathematics with Applications ·Guannan Zhang, Weidong Zhao, Clayton Webster, Max Gunzburger	4
14	A Hyperspherical Adaptive Sparse-Grid Method for High-Dimensional Discontinuity Detection 2015 ·SIAM Journal on Numerical Analysis ·Guannan Zhang, Clayton Webster, Max Gunzburger, John Burkardt	5
15	Multilevel Monte Carlo Method with Application to Uncertainty Quantification in Reservoir Simulation 2014 ·2014 AGU Fall Meeting ·Dan Lu, (unknown), Clayton Webster, (unknown)	1
16	A GRADIENT-BASED SAMPLING APPROACH FOR DIMENSION REDUCTION OF PARTIAL DIFFERENTIAL EQUATIONS WITH STOCHASTIC COEFFICIENTS 2014 ·International Journal for Uncertainty Quantification ·Miroslav Stoyanov, Clayton Webster	6
17	A GENERALIZED STOCHASTIC COLLOCATION APPROACH TO CONSTRAINED OPTIMIZATION FOR RANDOM DATA IDENTIFICATION PROBLEMS 2013 ·Numerical Methods for Partial Differential Equations ·Clayton Webster, Max Gunzburger	2
18	An adaptive sparse-grid iterative ensemble Kalman filter approach for parameter field estimation 2013 ·International Journal of Computer Mathematics ·Clayton Webster, Guannan Zhang, Max Gunzburger	6
19	Sparse grid stochastic collocation techniques for the numerical solution of partial differential equations with random input data 2007 ·Clayton Webster	4
20	REDUCED ORDER MODELING OF SOME NONLINEAR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS 2007 ·John Burkardt, Max Gunzburger, Clayton Webster	20

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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