Donald Estep

1.6k total citations
71 papers, 1.0k citations indexed

About

Donald Estep is a scholar working on Computational Mechanics, Numerical Analysis and Electrical and Electronic Engineering. According to data from OpenAlex, Donald Estep has authored 71 papers receiving a total of 1.0k indexed citations (citations by other indexed papers that have themselves been cited), including 31 papers in Computational Mechanics, 20 papers in Numerical Analysis and 16 papers in Electrical and Electronic Engineering. Recurrent topics in Donald Estep's work include Advanced Numerical Methods in Computational Mathematics (30 papers), Numerical methods for differential equations (19 papers) and Electromagnetic Simulation and Numerical Methods (15 papers). Donald Estep is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (30 papers), Numerical methods for differential equations (19 papers) and Electromagnetic Simulation and Numerical Methods (15 papers). Donald Estep collaborates with scholars based in United States, Sweden and Canada. Donald Estep's co-authors include Simon Tavener, Mats G. Larson, Troy Butler, Claes Johnson, Donald A. French, Michael Holst, Kenneth Eriksson, Timothy Wildey, Christian M. Puttlitz and Kevin L. Troyer and has published in prestigious journals such as Water Resources Research, Journal of Computational Physics and IEEE Access.

In The Last Decade

Donald Estep

65 papers receiving 960 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Donald Estep United States 17 601 320 255 211 166 71 1.0k
Ch. Schwab Switzerland 19 586 1.0× 209 0.7× 282 1.1× 165 0.8× 341 2.1× 28 1.1k
Einar M. Rønquist Norway 17 693 1.2× 208 0.7× 220 0.9× 163 0.8× 147 0.9× 40 1.1k
John Burkardt United States 20 433 0.7× 223 0.7× 318 1.2× 102 0.5× 409 2.5× 38 1.4k
Shaoqiang Tang China 21 346 0.6× 202 0.6× 150 0.6× 218 1.0× 46 0.3× 103 1.4k
Simona Perotto Italy 21 887 1.5× 111 0.3× 295 1.2× 144 0.7× 89 0.5× 96 1.4k
Zhongqiang Zhang United States 22 329 0.5× 687 2.1× 129 0.5× 67 0.3× 144 0.9× 66 1.7k
Ralf Kornhuber Germany 20 926 1.5× 184 0.6× 636 2.5× 136 0.6× 85 0.5× 53 1.4k
Federico Negri Switzerland 8 497 0.8× 175 0.5× 94 0.4× 73 0.3× 321 1.9× 11 989
Pedro Dı́ez Spain 21 761 1.3× 104 0.3× 158 0.6× 272 1.3× 268 1.6× 111 1.5k
Nicolas R. Gauger Germany 19 709 1.2× 59 0.2× 220 0.9× 65 0.3× 155 0.9× 120 1.2k

Countries citing papers authored by Donald Estep

Since Specialization
Citations

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

Fields of papers citing papers by Donald Estep

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Donald Estep

This figure shows the co-authorship network connecting the top 25 collaborators of Donald Estep. A scholar is included among the top collaborators of Donald Estep 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 Donald Estep. Donald Estep 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.
Butler, Troy, et al.. (2024). A Ramble Through Probability: How I Learned to Stop Worrying and Love Measure Theory. Society for Industrial and Applied Mathematics eBooks.
2.
Estep, Donald, et al.. (2021). Adjoint Sensitivity Analysis for Uncertain Material Parameters in Frequency-Domain 3-D FEM. IEEE Transactions on Antennas and Propagation. 69(10). 6669–6679. 9 indexed citations
3.
Estep, Donald, et al.. (2020). Adjoint-Based Accelerated Adaptive Refinement in Frequency Domain 3-D Finite Element Method Scattering Problems. IEEE Transactions on Antennas and Propagation. 69(2). 940–949. 17 indexed citations
4.
Estep, Donald, et al.. (2020). A Posteriori Error Estimation and Adaptive Discretization Refinement Using Adjoint Methods in CEM: A Study With a 1-D Higher Order FEM Scattering Example. IEEE Transactions on Antennas and Propagation. 68(5). 3791–3806. 9 indexed citations
5.
6.
Butler, Troy, et al.. (2015). Definition and solution of a stochastic inverse problem for the Manning’s n parameter field in hydrodynamic models. Advances in Water Resources. 78. 60–79. 19 indexed citations
7.
Sheehan, Brendan, Donald Estep, Simon Tavener, et al.. (2015). The Interaction of Iteration Error and Stability for Linear Partial Differential Equations Coupled through an Interface. Advances in Mathematical Physics. 2015. 1–13. 2 indexed citations
8.
Chong, Edwin K. P., et al.. (2013). Approximating Extremely Large Networks via Continuum Limits. IEEE Access. 1. 577–595. 2 indexed citations
9.
Troyer, Kevin L., Donald Estep, & Christian M. Puttlitz. (2011). Viscoelastic effects during loading play an integral role in soft tissue mechanics. Acta Biomaterialia. 8(1). 234–243. 51 indexed citations
10.
Butler, Troy, et al.. (2011). A Measure-Theoretic Computational Method for Inverse Sensitivity Problems I: Method and Analysis. SIAM Journal on Numerical Analysis. 49(5). 1836–1859. 32 indexed citations
11.
Estep, Donald, Michael Holst, & Axel Målqvist. (2011). Nonparametric density estimation for randomly perturbed elliptic problems III: convergence, computational cost, and generalizations. Journal of Applied Mathematics and Computing. 38(1-2). 367–387. 3 indexed citations
12.
Eriksson, Kenneth, Donald Estep, & Claes Johnson. (2010). Applied Mathematics: Body and Soul: Volume 1: Derivatives and Geometry in IR3. 13 indexed citations
13.
Estep, Donald, et al.. (2007). A power method for nonlinear operators. Applicable Analysis. 86(10). 1303–1314. 3 indexed citations
14.
Estep, Donald, et al.. (2004). Calculus in several dimensions. Springer eBooks. 8 indexed citations
15.
Estep, Donald, et al.. (2004). Derivatives and geometry in R3. Springer eBooks. 1 indexed citations
16.
Estep, Donald, et al.. (2001). Accounting for stability: a posteriori error estimates based on residuals and variational analysis. Communications in Numerical Methods in Engineering. 18(1). 15–30. 22 indexed citations
17.
Estep, Donald, et al.. (2001). Analysis of Shear Layers in a Fluid with Temperature-Dependent Viscosity. Journal of Computational Physics. 173(1). 17–60. 7 indexed citations
18.
Estep, Donald. (1995). A modified equation for dispersive difference schemes. Applied Numerical Mathematics. 17(3). 299–309. 1 indexed citations
19.
Dieci, Luca & Donald Estep. (1991). Some Stability Aspects of Schemes for the Adaptive Integration of Siff Initial Value Problems. SIAM Journal on Scientific and Statistical Computing. 12(6). 1284–1303. 13 indexed citations
20.
Estep, Donald. (1987). L(infinity) Bounds For Families Of Translation Invariant, L(2) Stable Operators In One Dimension (besov Spaces).. Deep Blue (University of Michigan). 1 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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