Paul Nelson

1.2k total citations
92 papers, 865 citations indexed

About

Paul Nelson is a scholar working on Aerospace Engineering, Mathematical Physics and Control and Systems Engineering. According to data from OpenAlex, Paul Nelson has authored 92 papers receiving a total of 865 indexed citations (citations by other indexed papers that have themselves been cited), including 21 papers in Aerospace Engineering, 20 papers in Mathematical Physics and 18 papers in Control and Systems Engineering. Recurrent topics in Paul Nelson's work include Numerical methods in inverse problems (16 papers), Nuclear reactor physics and engineering (16 papers) and Traffic control and management (14 papers). Paul Nelson is often cited by papers focused on Numerical methods in inverse problems (16 papers), Nuclear reactor physics and engineering (16 papers) and Traffic control and management (14 papers). Paul Nelson collaborates with scholars based in United States, India and China. Paul Nelson's co-authors include M. M. Goodman, Alexandros Sopasakis, Edward W. Larsen, James B. Holland, Nathan D. Coles, David M. Bubeck, Gerhard Kristensson, James Corones, Melvin R. Scott and Stephen J. Smith and has published in prestigious journals such as Journal of Computational Physics, AIAA Journal and Computer Physics Communications.

In The Last Decade

Paul Nelson

77 papers receiving 777 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Paul Nelson United States 14 245 171 167 142 127 92 865
S. L. Paveri-Fontana Italy 10 231 0.9× 162 0.9× 4 0.0× 52 0.4× 68 0.5× 30 789
Bodo Werner Germany 8 141 0.6× 73 0.4× 5 0.0× 43 0.3× 108 0.9× 28 530
Andrew Vogt United States 13 72 0.3× 60 0.4× 4 0.0× 45 0.3× 16 0.1× 30 541
Zhujun Jing China 19 180 0.7× 5 0.0× 12 0.1× 52 0.4× 14 0.1× 75 1.2k
A.E. Matouk Saudi Arabia 23 160 0.7× 13 0.1× 10 0.1× 36 0.3× 3 0.0× 53 1.6k
Banan Maayah Jordan 15 95 0.4× 3 0.0× 12 0.1× 31 0.2× 38 0.3× 33 1.1k
Nicolas Fournier France 17 68 0.3× 10 0.1× 5 0.0× 317 2.2× 82 0.6× 50 1.3k
Anna T. Ławniczak Canada 16 61 0.2× 37 0.2× 2 0.0× 71 0.5× 172 1.4× 80 982
Hartmut Logemann United Kingdom 27 1.6k 6.6× 3 0.0× 10 0.1× 228 1.6× 58 0.5× 106 1.9k

Countries citing papers authored by Paul Nelson

Since Specialization
Citations

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

Fields of papers citing papers by Paul Nelson

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Paul Nelson

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

All Works

20 of 20 papers shown
1.
2.
Christensen, Shawn A., Donald B. Pratt, Paul Nelson, et al.. (2007). Assessment of genetic diversity in the USDA and CIP-FAO international nursery collections of quinoa (Chenopodium quinoa Willd.) using microsatellite markers. Plant Genetic Resources. 5(2). 82–95. 74 indexed citations
3.
Nelson, Paul. (1995). A kinetic model of vehicular traffic and its associated bimodal equilibrium solutions. Transport Theory and Statistical Physics. 24(1-3). 383–409. 82 indexed citations
4.
Nelson, Paul, et al.. (1992). Global existence for an abstract Riccati initial-value problem with possibly unbounded coefficients. Journal of Mathematical Analysis and Applications. 166(1). 103–111. 1 indexed citations
5.
Nelson, Paul, et al.. (1992). An integrodifferential equation for the two-dimensional reflection kernel. Applied Mathematics and Computation. 49(1). 1–18. 4 indexed citations
6.
Keller, Herbert B. & Paul Nelson. (1988). Closed linear one-cell functional spatial approximations: Consistency implies convergence and stability. Transport Theory and Statistical Physics. 17(2-3). 191–208. 3 indexed citations
7.
Neta, Beny & Paul Nelson. (1987). An adaptive method for the numerical solution of Fredholm integral equations of the second kind. I. regular kernels. Applied Mathematics and Computation. 21(2). 171–184. 7 indexed citations
8.
Nelson, Paul. (1986). Convergence of Inner Iterations for Finite-Difference Approximations to the Linear Transport Equation. SIAM Journal on Numerical Analysis. 23(5). 1017–1022. 7 indexed citations
9.
Nelson, Paul. (1986). An existence-uniqueness theorem for nonmultiplying rod models subject to an interior jump condition. Journal of Mathematical Analysis and Applications. 118(1). 115–124. 2 indexed citations
10.
Nelson, Paul. (1984). Convergence of a certain monotone iteration in the reflection matrix for a nonmultiplying half-space. Transport Theory and Statistical Physics. 13(1-2). 97–106. 10 indexed citations
11.
Nelson, Paul, et al.. (1982). Existence and uniqueness for spherically symmetric linear transport. Transport Theory and Statistical Physics. 11(2). 105–122. 2 indexed citations
12.
Nelson, Paul, et al.. (1980). Initial-Value Methods for a Simplified Subchannel Model of Thermal-Hydraulic Behavior. Nuclear Science and Engineering. 76(3). 366–370. 2 indexed citations
13.
Scott, Melvin R., et al.. (1978). Proceedings of a Working Conference on Codes for Boundary-Value Problems in Ordinary Differential Equations. 1 indexed citations
14.
Nelson, Paul, et al.. (1977). Calculation of Eigenfunctions in the Context of Integration-to-Blowup. SIAM Journal on Numerical Analysis. 14(1). 124–136. 10 indexed citations
15.
Nelson, Paul. (1973). Mechanical Interpretations for Invariant Imbedding. Journal of the Engineering Mechanics Division. 99(5). 957–963. 1 indexed citations
16.
Nelson, Paul & Melvin R. Scott. (1972). The relationship between two variants of invariant imbedding. Journal of Mathematical Analysis and Applications. 37(2). 501–505. 4 indexed citations
17.
Nelson, Paul. (1972). Positive solutions of positive linear equations. Proceedings of the American Mathematical Society. 31(2). 453–457. 4 indexed citations
18.
Nelson, Paul. (1971). Subcriticality for transport of multiplying particles in a slab. Journal of Mathematical Analysis and Applications. 35(1). 90–104. 31 indexed citations
19.
Nelson, Paul & Melvin R. Scott. (1971). Internal values in particle transport by the method of invariant imbedding. Journal of Mathematical Analysis and Applications. 34(3). 628–643. 14 indexed citations
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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