D. Estep

1.4k total citations · 1 hit paper
21 papers, 659 citations indexed

About

D. Estep is a scholar working on Computational Mechanics, Computational Theory and Mathematics and Numerical Analysis. According to data from OpenAlex, D. Estep has authored 21 papers receiving a total of 659 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Computational Mechanics, 9 papers in Computational Theory and Mathematics and 8 papers in Numerical Analysis. Recurrent topics in D. Estep's work include Advanced Numerical Methods in Computational Mathematics (14 papers), Numerical methods for differential equations (7 papers) and Advanced Mathematical Modeling in Engineering (7 papers). D. Estep is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (14 papers), Numerical methods for differential equations (7 papers) and Advanced Mathematical Modeling in Engineering (7 papers). D. Estep collaborates with scholars based in United States, Sweden and Norway. D. Estep's co-authors include Claes Johnson, Kenneth Eriksson, Peter Hansbo, Simon Tavener, Victor Ginting, Troy Butler, John N. Shadid, Axel Målqvist, Jehanzeb H. Chaudhry and Haiying Wang and has published in prestigious journals such as Journal of Computational Physics, Computer Methods in Applied Mechanics and Engineering and International Journal for Numerical Methods in Engineering.

In The Last Decade

D. Estep

21 papers receiving 573 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.

Introduction to Adaptive Methods for Differential Equations

1995 439 citations Kenneth Eriksson, D. Estep et al. Acta Numerica profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
D. Estep United States	11	489	213	197	153	135	21	659
Yanlai Chen United States	13	317 0.6×	90 0.4×	82 0.4×	156 1.0×	186 1.4×	35	597
Tarek P. Mathew United States	11	618 1.3×	236 1.1×	379 1.9×	238 1.6×	222 1.6×	18	837
Mo Mu United States	10	788 1.6×	177 0.8×	346 1.8×	188 1.2×	102 0.8×	39	923
Qingsong Zou China	14	569 1.2×	201 0.9×	134 0.7×	255 1.7×	130 1.0×	53	726
Axel Målqvist Sweden	15	670 1.4×	538 2.5×	607 3.1×	62 0.4×	82 0.6×	47	823
Scott A. Sarra United States	13	388 0.8×	636 3.0×	63 0.3×	191 1.2×	142 1.1×	26	917
Ignacio Muga Chile	12	254 0.5×	160 0.8×	115 0.6×	65 0.4×	116 0.9×	36	407
A.T. Patera United States	5	383 0.8×	125 0.6×	105 0.5×	143 0.9×	79 0.6×	5	829
Svetozar Margenov Bulgaria	13	297 0.6×	201 0.9×	248 1.3×	111 0.7×	70 0.5×	92	558
Danping Yang China	18	617 1.3×	394 1.8×	249 1.3×	482 3.2×	138 1.0×	88	1.0k

Countries citing papers authored by D. Estep

Since Specialization

Citations

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

Fields of papers citing papers by D. Estep

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of D. Estep

This figure shows the co-authorship network connecting the top 25 collaborators of D. Estep. A scholar is included among the top collaborators of D. 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 D. Estep. D. Estep 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

Chaudhry, Jehanzeb H., et al.. (2016). A Posteriori Error Analysis of Two-Stage Computation Methods with Application to Efficient Discretization and the Parareal Algorithm. SIAM Journal on Numerical Analysis. 54(5). 2974–3002. 12 indexed citations

Chaudhry, Jehanzeb H., D. Estep, & Max Gunzburger. (2016). Exploration of efficient reduced‐order modeling and a posteriori error estimation. International Journal for Numerical Methods in Engineering. 111(2). 103–122. 4 indexed citations

Johansson, August, Jehanzeb H. Chaudhry, D. Estep, et al.. (2015). Adaptive finite element solution of multiscale PDE–ODE systems. Computer Methods in Applied Mechanics and Engineering. 287. 150–171. 2 indexed citations

Arbogast, Todd, D. Estep, Brendan Sheehan, & Simon Tavener. (2015). A Posteriori Error Estimates for Mixed Finite Element and Finite Volume Methods for Parabolic Problems Coupled through a Boundary. SIAM/ASA Journal on Uncertainty Quantification. 3(1). 169–198. 14 indexed citations

Chaudhry, Jehanzeb H., D. Estep, Victor Ginting, & Simon Tavener. (2015). A Posteriori Analysis for Iterative Solvers for Nonautonomous Evolution Problems. SIAM/ASA Journal on Uncertainty Quantification. 3(1). 434–459. 3 indexed citations

Collins, James B., D. Estep, & Simon Tavener. (2013). A posteriori error estimation for the Lax–Wendroff finite difference scheme. Journal of Computational and Applied Mathematics. 263. 299–311. 9 indexed citations

Estep, D., et al.. (2013). A posteriori analysis and adaptive error control for operator decomposition solution of coupled semilinear elliptic systems. International Journal for Numerical Methods in Engineering. 94(9). 826–849. 5 indexed citations

Butler, Troy, et al.. (2012). A Computational Measure Theoretic Approach to Inverse Sensitivity Problems II: A Posteriori Error Analysis. SIAM Journal on Numerical Analysis. 50(1). 22–45. 24 indexed citations

Chong, Edwin K. P., et al.. (2012). Analysis of routing protocols and interference-limited communication in large wireless networks via continuum modeling. Journal of Engineering Mathematics. 79(1). 183–199. 1 indexed citations

10.

Estep, D., et al.. (2012). Adaptive error control during gradient search for an elliptic optimization problem. Applicable Analysis. 92(7). 1434–1448. 1 indexed citations

11.

Estep, D., Michael Pernice, Simon Tavener, & Haiying Wang. (2010). A posteriori error analysis for a cut cell finite volume method. Computer Methods in Applied Mechanics and Engineering. 200(37-40). 2768–2781. 5 indexed citations

12.

Estep, D., et al.. (2009). A posteriori error analysis of a cell-centered finite volume method for semilinear elliptic problems. Journal of Computational and Applied Mathematics. 233(2). 459–472. 12 indexed citations

13.

Estep, D., Axel Målqvist, & Simon Tavener. (2009). Nonparametric density estimation for randomly perturbed elliptic problems II: Applications and adaptive modeling. International Journal for Numerical Methods in Engineering. 80(6-7). 846–867. 18 indexed citations

14.

Estep, D. & Troy Butler. (2009). Computational measure theoretic approach to inverse sensitivity analysis: methods and analysis. 4 indexed citations

15.

Estep, D., Vincent J. Carey, Victor Ginting, Simon Tavener, & Timothy Wildey. (2008). A posteriori error analysis of multiscale operator decomposition methods for multiphysics models. Journal of Physics Conference Series. 125. 12075–12075. 13 indexed citations

16.

Estep, D., et al.. (2007). Fast methods for determining the evolution of uncertain parameters in reaction-diffusion equations. Computer Methods in Applied Mechanics and Engineering. 196(37-40). 3967–3979. 13 indexed citations

17.

Estep, D., et al.. (2005). Fast and reliable methods for determining the evolution of uncertain parameters in differential equations. Journal of Computational Physics. 213(2). 530–556. 20 indexed citations

18.

Estep, D. & Claes Johnson. (1998). THE POINTWISE COMPUTABILITY OF THE LORENZ SYSTEM. Mathematical Models and Methods in Applied Sciences. 8(8). 1277–1305. 9 indexed citations

19.

Eriksson, Kenneth, D. Estep, Peter Hansbo, & Claes Johnson. (1995). Introduction to Adaptive Methods for Differential Equations. Acta Numerica. 4. 105–158. 439 indexed citations breakdown →

20.

Estep, D.. (1994). An analysis of numerical approximations of metastable solutions of the bistable equation. Nonlinearity. 7(5). 1445–1462. 13 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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