W. E. Olmstead

1.5k total citations
92 papers, 1.1k citations indexed

About

W. E. Olmstead is a scholar working on Computational Mechanics, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, W. E. Olmstead has authored 92 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 28 papers in Computational Mechanics, 23 papers in Computational Theory and Mathematics and 19 papers in Mathematical Physics. Recurrent topics in W. E. Olmstead's work include Advanced Mathematical Modeling in Engineering (20 papers), Differential Equations and Numerical Methods (16 papers) and Fractional Differential Equations Solutions (13 papers). W. E. Olmstead is often cited by papers focused on Advanced Mathematical Modeling in Engineering (20 papers), Differential Equations and Numerical Methods (16 papers) and Fractional Differential Equations Solutions (13 papers). W. E. Olmstead collaborates with scholars based in United States, Canada and Philippines. W. E. Olmstead's co-authors include Catherine Roberts, Richard A. Handelsman, Joseph B. Keller, D. G. Lasseigne, S. Raynor, A. K. Gautesen, Stephen H. Davis, S. Rosenblat, William L. Kath and Sia Nemat‐Nasser and has published in prestigious journals such as Journal of Fluid Mechanics, International Journal of Heat and Mass Transfer and Journal of Applied Mechanics.

In The Last Decade

W. E. Olmstead

87 papers receiving 1.0k citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
W. E. Olmstead United States	18	461	353	352	229	214	92	1.1k
Giovanni Monegato Italy	22	428 0.9×	276 0.8×	634 1.8×	357 1.6×	60 0.3×	102	1.5k
Georgios Akrivis Greece	23	1.0k 2.2×	241 0.7×	110 0.3×	946 4.1×	253 1.2×	64	1.7k
Régis Monneau France	21	153 0.3×	144 0.4×	842 2.4×	141 0.6×	287 1.3×	107	1.4k
Nicholas Hale United Kingdom	14	337 0.7×	236 0.7×	177 0.5×	140 0.6×	40 0.2×	28	905
Marián Slodička Belgium	17	176 0.4×	200 0.6×	170 0.5×	300 1.3×	515 2.4×	128	1.0k
R. P. Kanwal United States	17	99 0.2×	95 0.3×	164 0.5×	196 0.9×	110 0.5×	92	992
Abner J. Salgado United States	16	239 0.5×	183 0.5×	126 0.4×	561 2.4×	94 0.4×	41	883
Jun‐Sheng Duan China	23	1.0k 2.2×	1.5k 4.1×	371 1.1×	108 0.5×	70 0.3×	93	2.0k
K. Abbaoui France	15	935 2.0×	1.2k 3.5×	276 0.8×	37 0.2×	77 0.4×	23	1.6k
René Pinnau Germany	17	181 0.4×	63 0.2×	249 0.7×	424 1.9×	277 1.3×	77	861

Countries citing papers authored by W. E. Olmstead

Since Specialization

Citations

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

Fields of papers citing papers by W. E. Olmstead

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of W. E. Olmstead

This figure shows the co-authorship network connecting the top 25 collaborators of W. E. Olmstead. A scholar is included among the top collaborators of W. E. Olmstead 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 W. E. Olmstead. W. E. Olmstead 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

Olmstead, W. E., Sia Nemat‐Nasser, & Luqun Ni. (2018). Shear bands as discontinuities. Research Showcase @ Carnegie Mellon University (Carnegie Mellon University). 4 indexed citations

Olmstead, W. E., et al.. (2013). Thermal blow-up in a subdiffusive medium due to a nonlinear boundary flux. Fractional Calculus and Applied Analysis. 17(1). 191–205. 2 indexed citations

Roberts, Catherine & W. E. Olmstead. (2009). Blow-up in a Subdiffusive Medium of Infinite Extent. Fractional Calculus and Applied Analysis. 12. 179–194. 6 indexed citations

Olmstead, W. E. & Catherine Roberts. (2008). Thermal Blow-up in a Subdiffusive Medium. SIAM Journal on Applied Mathematics. 69(2). 514–523. 15 indexed citations

Lachapelle, Jean‐Marie, W. Wigger‐Alberti, Britta Wulfhorst, et al.. (2005). Prevention and Therapy. 1 indexed citations

Olmstead, W. E., et al.. (2000). The influence of two moving heat sources on blow-up in a reactive-diffusive medium. Zeitschrift für angewandte Mathematik und Physik. 51(1). 1–16. 10 indexed citations

Davis, Stephen H., et al.. (2000). Shear Localization with an Arrhenius Flow Law. SIAM Journal on Applied Mathematics. 60(6). 1867–1886. 4 indexed citations

Olmstead, W. E. & Catherine Roberts. (1997). The one-dimensional heat equation with a nonlocal initial condition. Applied Mathematics Letters. 10(3). 89–94. 31 indexed citations

Olmstead, W. E., et al.. (1997). Temporal evolution of shear band thickness. Journal of the Mechanics and Physics of Solids. 45(3). 345–359. 27 indexed citations

10.

Roberts, Catherine, D. G. Lasseigne, & W. E. Olmstead. (1993). Volterra Equations which Model Explosion in a Diffusive Medium. Journal of Integral Equations and Applications. 5(4). 41 indexed citations

11.

Kriegsmann, Gregory A. & W. E. Olmstead. (1988). Source identification for the heat equation. Applied Mathematics Letters. 1(3). 241–245. 12 indexed citations

12.

Kaper, Hans G., G. K. Leaf, B. J. Matkowsky, & W. E. Olmstead. (1987). Dynamics of Nonadiabatic Premixed Flames in a Gravitational Field. SIAM Journal on Applied Mathematics. 47(3). 544–555. 3 indexed citations

13.

Horgan, Cornelius O. & W. E. Olmstead. (1978). Stability and uniqueness for a turbulence model of Burgers. Quarterly of Applied Mathematics. 36(2). 121–127. 9 indexed citations

14.

Olmstead, W. E.. (1977). Extent of the Left Branching Solution to Certain Bifurcation Problems. SIAM Journal on Mathematical Analysis. 8(3). 392–401. 6 indexed citations

15.

Olmstead, W. E. & A. K. Gautesen. (1976). Integral representations and the Oseen flow problem. 3. 125–189. 8 indexed citations

16.

Olmstead, W. E., et al.. (1974). Buckling of a nonlinear elastic rod. Journal of Mathematical Analysis and Applications. 46(3). 609–634. 7 indexed citations

17.

Keller, Joseph B. & W. E. Olmstead. (1972). Temperature of a nonlinearly radiating semi-infinite solid. Quarterly of Applied Mathematics. 29(4). 559–566. 63 indexed citations

18.

Olmstead, W. E. & A. K. Gautesen. (1968). A new paradox in viscous hydrodynamics. Archive for Rational Mechanics and Analysis. 29(1). 58–65. 11 indexed citations

19.

Olmstead, W. E.. (1965). A Note on Oseen Flow in the Plane. Journal of Mathematics and Physics. 44(1-4). 240–244. 12 indexed citations

20.

Olmstead, W. E. & S. Raynor. (1963). Solar heating of a rotating solid cylinder. Quarterly of Applied Mathematics. 21(2). 81–90. 6 indexed citations

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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