Andrew R. Winters

1.7k total citations · 1 hit paper
33 papers, 1.1k citations indexed

About

Andrew R. Winters is a scholar working on Computational Mechanics, Atmospheric Science and Applied Mathematics. According to data from OpenAlex, Andrew R. Winters has authored 33 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 29 papers in Computational Mechanics, 9 papers in Atmospheric Science and 5 papers in Applied Mathematics. Recurrent topics in Andrew R. Winters's work include Computational Fluid Dynamics and Aerodynamics (27 papers), Fluid Dynamics and Turbulent Flows (16 papers) and Advanced Numerical Methods in Computational Mathematics (16 papers). Andrew R. Winters is often cited by papers focused on Computational Fluid Dynamics and Aerodynamics (27 papers), Fluid Dynamics and Turbulent Flows (16 papers) and Advanced Numerical Methods in Computational Mathematics (16 papers). Andrew R. Winters collaborates with scholars based in Germany, United States and Sweden. Andrew R. Winters's co-authors include Gregor J. Gassner, David A. Kopriva, Stefanie Walch, Dominik Derigs, Florian Hindenlang, Hendrik Ranocha, David C. Del Rey Fernández, Mark H. Carpenter, Rodrigo C. Moura and Spencer J. Sherwin and has published in prestigious journals such as Journal of Computational Physics, Applied Mathematics and Computation and ACM Transactions on Mathematical Software.

In The Last Decade

Andrew R. Winters

32 papers receiving 993 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.

Split form nodal discontinuous Galerkin schemes with summation-by-parts property for the compressible Euler equations

2016 215 citations Gregor J. Gassner, Andrew R. Winters et al. Journal of Computational Physics profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Andrew R. Winters Germany	18	938	203	157	124	120	33	1.1k
Huazhong Tang China	21	940 1.0×	332 1.6×	166 1.1×	253 2.0×	120 1.0×	61	1.2k
Bojan Popov United States	15	845 0.9×	268 1.3×	69 0.4×	164 1.3×	90 0.8×	53	969
Edwige Godlewski France	13	1.1k 1.1×	648 3.2×	121 0.8×	103 0.8×	78 0.7×	30	1.4k
Matteo Parsani Saudi Arabia	17	639 0.7×	129 0.6×	76 0.5×	123 1.0×	89 0.7×	69	758
Xinghui Zhong United States	10	577 0.6×	275 1.4×	43 0.3×	154 1.2×	37 0.3×	31	657
Gabriella Puppo Italy	19	1.7k 1.8×	774 3.8×	353 2.2×	248 2.0×	81 0.7×	61	1.9k
Christophe Berthon France	19	832 0.9×	443 2.2×	172 1.1×	80 0.6×	35 0.3×	67	959
James A. Rossmanith United States	13	532 0.6×	239 1.2×	118 0.8×	72 0.6×	19 0.2×	21	713
Lilia Krivodonova Canada	11	1.1k 1.2×	229 1.1×	59 0.4×	269 2.2×	72 0.6×	24	1.1k
Sebastiano Boscarino Italy	16	719 0.8×	275 1.4×	44 0.3×	363 2.9×	53 0.4×	40	896

Countries citing papers authored by Andrew R. Winters

Since Specialization

Citations

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

Fields of papers citing papers by Andrew R. Winters

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Andrew R. Winters. 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 Andrew R. Winters. The network helps show where Andrew R. Winters may publish in the future.

Co-authorship network of co-authors of Andrew R. Winters

This figure shows the co-authorship network connecting the top 25 collaborators of Andrew R. Winters. A scholar is included among the top collaborators of Andrew R. Winters 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 Andrew R. Winters. Andrew R. Winters 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

Ranocha, Hendrik, et al.. (2025). Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods. Journal of Computational Physics. 529. 113841–113841.

Kopriva, David A., et al.. (2024). HOHQMesh: An All Quadrilateral/Hexahedral Unstructured Mesh Generator for High Order Elements. The Journal of Open Source Software. 9(104). 7476–7476. 1 indexed citations

Winters, Andrew R., et al.. (2024). An Entropy Stable Discontinuous Galerkin Method for the Two-Layer Shallow Water Equations on Curvilinear Meshes. Journal of Scientific Computing. 98(3). 1 indexed citations

Ranocha, Hendrik, et al.. (2024). On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws. Journal of Computational Physics. 520. 113471–113471. 4 indexed citations

Ranocha, Hendrik, Jesse Chan, Andrés M. Rueda-Ramírez, et al.. (2023). Efficient Implementation of Modern Entropy Stable and Kinetic Energy Preserving Discontinuous Galerkin Methods for Conservation Laws. ACM Transactions on Mathematical Software. 49(4). 1–30. 11 indexed citations

Ranocha, Hendrik, et al.. (2023). On Error-Based Step Size Control for Discontinuous Galerkin Methods for Compressible Fluid Dynamics. Communications on Applied Mathematics and Computation. 7(1). 3–39. 7 indexed citations

Ranocha, Hendrik, et al.. (2022). Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing. arXiv (Cornell University). 1(1). 77–77. 27 indexed citations

Nordström, Jan & Andrew R. Winters. (2022). A linear and nonlinear analysis of the shallow water equations and its impact on boundary conditions. Journal of Computational Physics. 463. 111254–111254. 11 indexed citations

Winters, Andrew R., et al.. (2021). A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics. Journal of Computational Physics. 442. 110467–110467. 21 indexed citations

10.

Winters, Andrew R., et al.. (2018). An entropy stable discontinuous Galerkin method for the shallow water equations on curvilinear meshes with wet/dry fronts accelerated by GPUs. Journal of Computational Physics. 375. 447–480. 26 indexed citations

11.

Derigs, Dominik, et al.. (2018). Ideal GLM-MHD: About the entropy consistent nine-wave magnetic field divergence diminishing ideal magnetohydrodynamics equations. Journal of Computational Physics. 364. 420–467. 55 indexed citations

12.

Gassner, Gregor J., Andrew R. Winters, Florian Hindenlang, & David A. Kopriva. (2018). Correction to: The BR1 Scheme is Stable for the Compressible Navier–Stokes Equations. Journal of Scientific Computing. 77(1). 201–203. 1 indexed citations

13.

Derigs, Dominik, Andrew R. Winters, Gregor J. Gassner, & Stefanie Walch. (2016). A novel high-order, entropy stable, 3D AMR MHD solver with guaranteed positive pressure. Journal of Computational Physics. 317. 223–256. 31 indexed citations

14.

Winters, Andrew R., et al.. (2016). Hybrid entropy stable HLL-type Riemann solvers for hyperbolic conservation laws. Journal of Computational Physics. 330. 566–570. 9 indexed citations

15.

Winters, Andrew R., Dominik Derigs, Gregor J. Gassner, & Stefanie Walch. (2016). A uniquely defined entropy stable matrix dissipation operator for high Mach number ideal MHD and compressible Euler simulations. Journal of Computational Physics. 332. 274–289. 31 indexed citations

16.

Derigs, Dominik, Andrew R. Winters, Gregor J. Gassner, & Stefanie Walch. (2016). A novel averaging technique for discrete entropy-stable dissipation operators for ideal MHD. Journal of Computational Physics. 330. 624–632. 22 indexed citations

17.

Gassner, Gregor J., Andrew R. Winters, & David A. Kopriva. (2015). A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations. Applied Mathematics and Computation. 272. 291–308. 102 indexed citations

18.

Winters, Andrew R.. (2014). Discontinuous Galerkin Spectral Element Approximations for the Reflection and Transmission of Waves from Moving Material Interfaces. 2 indexed citations

19.

Winters, Andrew R. & David A. Kopriva. (2013). High-Order Local Time Stepping on Moving DG Spectral Element Meshes. Journal of Scientific Computing. 58(1). 176–202. 7 indexed citations

20.

Winters, Ryan, Andrew R. Winters, & Ronald G. Amedee. (2010). Statistics: a brief overview.. PubMed. 10(3). 213–6. 27 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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