Folkmar Bornemann

2.7k total citations
60 papers, 1.7k citations indexed

About

Folkmar Bornemann is a scholar working on Computational Theory and Mathematics, Computational Mechanics and Mathematical Physics. According to data from OpenAlex, Folkmar Bornemann has authored 60 papers receiving a total of 1.7k indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Computational Theory and Mathematics, 16 papers in Computational Mechanics and 14 papers in Mathematical Physics. Recurrent topics in Folkmar Bornemann's work include Advanced Numerical Methods in Computational Mathematics (13 papers), Advanced Mathematical Modeling in Engineering (11 papers) and Random Matrices and Applications (10 papers). Folkmar Bornemann is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (13 papers), Advanced Mathematical Modeling in Engineering (11 papers) and Random Matrices and Applications (10 papers). Folkmar Bornemann collaborates with scholars based in Germany, United States and United Kingdom. Folkmar Bornemann's co-authors include Peter Deuflhard, Christof Schütte, Bodo Erdmann, Ralf Kornhuber, Harry Yserentant, Stan Wagon, Jörg Waldvogel, Dirk Laurie, Lloyd N. Trefethen and Tobin A. Driscoll and has published in prestigious journals such as The Journal of Chemical Physics, Physics Today and Chemical Physics Letters.

In The Last Decade

Folkmar Bornemann

56 papers receiving 1.5k citations

Peers

Folkmar Bornemann

CM

CTM

AMPO

NA

MP

Joseph W. Jerome United States

Ronald Cools Belgium

Avram Sidi Israel

J. M. Varah Canada

Andrew Knyazev United States

Adhemar Bultheel Belgium

Mark Embree United States

Olof Runborg Sweden

Zdeněk Strakoš Czechia

Joseph W. Jerome United States

Folkmar Bornemann

1.0k ×1.6

CM

486 ×1.3

CTM

276 ×0.9

AMPO

601 ×2.1

NA

402 ×1.8

MP

Citations per year, relative to Folkmar Bornemann Folkmar Bornemann (= 1×) peers Joseph W. Jerome

Countries citing papers authored by Folkmar Bornemann

Since Specialization

Citations

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

Fields of papers citing papers by Folkmar Bornemann

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Folkmar Bornemann

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

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Bornemann, Folkmar. (2025). Asymptotic expansions of Gaussian and Laguerre ensembles at the soft edge II: Level densities. Random Matrices Theory and Application. 15(1). 1 indexed citations

2.

Bornemann, Folkmar. (2024). Asymptotic Expansions Relating to the Lengths of Longest Monotone Subsequences of Involutions. Experimental Mathematics. 34(4). 578–622. 1 indexed citations

3.

Bornemann, Folkmar. (2023). A Stirling-Type Formula for the Distribution of the Length of Longest Increasing Subsequences. Foundations of Computational Mathematics. 24(3). 915–953. 7 indexed citations

4.

Bornemann, Folkmar. (2022). The Challenge of Sixfold Integrals: The Closed-Form Evaluation of Newton Potentials between Two Cubes. arXiv (Cornell University).

5.

Bornemann, Folkmar, et al.. (2020). Multiple Bragg reflection by a thick mosaic crystal. II. Simplified transport equation solved on a grid. Acta Crystallographica Section A Foundations and Advances. 76(3). 376–389. 1 indexed citations

6.

Bornemann, Folkmar. (2018). Numerische lineare Algebra.

7.

Bornemann, Folkmar. (2016). Numerische lineare Algebra. DIAL (Catholic University of Leuven).

8.

Bornemann, Folkmar, Peter Clarkson, Percy Deift, Alan Edelman, & Alexander Its. (2010). A request: The Painlevé Project. Hispana. 12. 3 indexed citations

9.

Bornemann, Folkmar, et al.. (2010). Painlevé Project on the web. Physics Today. 63(12). 10–11. 1 indexed citations

10.

Bornemann, Folkmar. (2009). On the Numerical Evaluation of Distributions in Random Matrix Theory: A\n Review. arXiv (Cornell University). 3 indexed citations

11.

Bornemann, Folkmar. (2009). On the Numerical Evaluation of Distributions in Random Matrix Theory: A Review with an Invitation to Experimental Mathematics. arXiv (Cornell University). 8 indexed citations

12.

Deuflhard, Peter & Folkmar Bornemann. (2008). Gewöhnliche Differentialgleichungen. 3 indexed citations

13.

Bornemann, Folkmar. (2002). Normen zur Charakterisierung der schwach*-Konvergenz beschränkter Folgen. Mathematische Semesterberichte. 48(2). 247–260. 2 indexed citations

14.

Bornemann, Folkmar. (2001). Der ist's. Mitteilungen der Deutschen Mathematiker-Vereinigung. 9(4). 44–45. 1 indexed citations

15.

Bornemann, Folkmar, et al.. (1996). An explicit and symplectic integrator for quantum-classical molecular dynamics. Chemical Physics Letters. 256(6). 581–588. 35 indexed citations

16.

Bornemann, Folkmar, Bodo Erdmann, & Ralf Kornhuber. (1996). A Posteriori Error Estimates for Elliptic Problems in Two and Three Space Dimensions. SIAM Journal on Numerical Analysis. 33(3). 1188–1204. 113 indexed citations

17.

Bornemann, Folkmar, Bodo Erdmann, & Ralf Kornhuber. (1993). Adaptive multivlevel methods in three space dimensions. International Journal for Numerical Methods in Engineering. 36(18). 3187–3203. 100 indexed citations

18.

Bornemann, Folkmar, Bodo Erdmann, & Ralf Kornhuber. (1992). Adaptive Multilevel-Methods in 3-Space Dimensions.. 2 indexed citations

19.

Bornemann, Folkmar. (1989). Adaptive multilevel discretization in time and space for parabolic partial differential equations.. OpenGrey (Institut de l'Information Scientifique et Technique). 3 indexed citations

20.

Bornemann, Folkmar, Dirk Laurie, Stan Wagon, & Jörg Waldvogel. (1987). The SIAM 100-Digit Challenge: A Study in High-Accuracy Numerical Computing. Medical Entomology and Zoology. 48 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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