J. W. Thomas

2.2k citations

32 papers · 1.5k indexed · 1 hit paper · h-index 11

Computational Mechanics top 2%
Numerical Analysis top 2%
Electrical and Electronic Engineering
Computational Theory and Mathematics top 2%
Mechanics of Materials top 5%

Co-authors: Steve McCormick Wayne Nagata Boris Diskin Agnes O’Gallagher Antonios Zavaliangos John Strong Leslie B. Hart Hiroaki Nishikawa
Topics: Advanced Numerical Methods in Computational Mathematics (9 papers)Advanced Mathematical Modeling in Engineering (6 papers)Numerical methods for differential equations (6 papers)
Cited by: Numerical Analysis Computational Mechanics Modeling and Simulation
Journals: Mathematics of Computation AIChE Journal AIAA Journal
Partner nations: United States United Kingdom Russia

In The Last Decade

J. W. Thomas

32 papers receiving 1.4k 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.

Numerical Partial Differential Equations: Finite Difference Methods

1995 921 citations J. W. Thomas CERN Document Server (European Organization for Nuclear Research) profile →

Peers

Countries citing papers authored by J. W. Thomas

Since Specialization

Citations

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

Fields of papers citing papers by J. W. Thomas

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by J. W. Thomas. 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 J. W. Thomas. The network helps show where J. W. Thomas may publish in the future.

Co-authorship network of co-authors of J. W. Thomas

This figure shows the co-authorship network connecting the top 25 collaborators of J. W. Thomas. A scholar is included among the top collaborators of J. W. Thomas 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 J. W. Thomas. J. W. Thomas 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	An In-line, High Sensitivity, Non-contact Sensor for the Detection of Initiation of Sticking 2018 ·Journal of Pharmaceutical Innovation ·J. W. Thomas,Antonios Zavaliangos	1
2	Scanning Electron Microscope Observations of Powder Sticking on Punches during a Limited Number (N < 5) of Compactions of Acetylsalicylic Acid 2017 ·Pharmaceutical Research ·(unknown),J. W. Thomas,John Strong,Antonios Zavaliangos	11
3	Conservation laws and elliptic equations 1999 ·Springer eBooks ·J. W. Thomas	3
4	Numerical Partial Differential Equations 1999 ·CERN Document Server (European Organization for Nuclear Research) ·J. W. Thomas	198
5	Numerical Partial Differential Equations: Finite Difference Methodsbreakdown → 1995 ·CERN Document Server (European Organization for Nuclear Research) ·J. W. Thomas	921
6	A comparison of FAC and PCG methods for solving composite grid problems 1992 ·Communications in Applied Numerical Methods ·Michael A. Heroux,J. W. Thomas	1
7	TDFAC - A composite grid method for time dependent problems 1989 ·NASA Technical Reports Server (NASA) ·Michael A. Heroux,J. W. Thomas	3
8	Bifurcation in Doubly-Diffusive Systems. II. Time Periodic Solutions 1986 ·SIAM Journal on Mathematical Analysis ·Wayne Nagata,J. W. Thomas	2
9	Bifurcations in Doubly-Diffusive Systems III. Interaction of Equilibrium and Time Periodic Solutions 1986 ·SIAM Journal on Mathematical Analysis ·Wayne Nagata,J. W. Thomas	1
10	Bifurcation in Doubly-Diffusive Systems I. Equilibrium Solutions 1986 ·SIAM Journal on Mathematical Analysis ·Wayne Nagata,J. W. Thomas	12
11	An implicit scheme for water wave problems 1982 ·Applied Mathematics and Computation ·(unknown),J. W. Thomas	3
12	Mathematical theory of non-linear waves on the surface of a magnetic fluid 1980 ·IEEE Transactions on Magnetics ·(unknown),J. W. Thomas	16
13	A nonlinear three-point boundary value problem 1977 ·Journal of Mathematical Analysis and Applications ·J. W. Thomas,(unknown)	10
14	A numerical study of the relationship between the dimensionless parameters in the problem of periodic waves of permanent type in a liquid of finite depth 1975 ·Quarterly of Applied Mathematics ·J. W. Thomas	6
15	The Calculation of the Topological Degree by Quadrature 1975 ·SIAM Journal on Numerical Analysis ·(unknown),J. W. Thomas	16
16	Upper and lower bounds for the number of solutions of functional equations involving k -set contractions 1974 ·Rocky Mountain Journal of Mathematics ·J. W. Thomas	2
17	The multiplicity of an operator is a special case of the topological degree for k-set contractions 1973 ·Duke Mathematical Journal ·J. W. Thomas	2
18	A bifurcation theorem fork-set contractions 1973 ·Pacific Journal of Mathematics ·J. W. Thomas	43
19	On the equivalence of multiplicity and the generalized topological degree 1972 ·Transactions of the American Mathematical Society ·(unknown),J. W. Thomas	2
20	Application of quasi-linearization and Chebyshev series to the numerical analysis of the laminar boundary-layer equations 1970 ·AIAA Journal ·(unknown),J. W. Thomas	7

About J. W. Thomas

J. W. Thomas is a scholar working on Numerical Analysis, Computational Mechanics and Computational Theory and Mathematics, having authored 32 papers that have together received 1.5k indexed citations. Recurring topics across this work include Advanced Numerical Methods in Computational Mathematics (9 papers), Advanced Mathematical Modeling in Engineering (6 papers) and Numerical methods for differential equations (6 papers). The work is most often cited by research in Numerical Analysis (333 citations), Computational Mechanics (553 citations) and Modeling and Simulation (115 citations). J. W. Thomas has collaborated with scholars based in United States, United Kingdom and Russia. Frequent co-authors include Steve McCormick, Wayne Nagata, Boris Diskin, Agnes O’Gallagher, Antonios Zavaliangos, John Strong, Leslie B. Hart, Hiroaki Nishikawa, Michael A. Heroux and Simon Tavener. Their work appears in journals such as Mathematics of Computation, AIChE Journal and AIAA Journal.

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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