Hermann Render

550 total citations
63 papers, 302 citations indexed

About

Hermann Render is a scholar working on Applied Mathematics, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Hermann Render has authored 63 papers receiving a total of 302 indexed citations (citations by other indexed papers that have themselves been cited), including 32 papers in Applied Mathematics, 22 papers in Mathematical Physics and 18 papers in Geometry and Topology. Recurrent topics in Hermann Render's work include Advanced Numerical Analysis Techniques (15 papers), Mathematical functions and polynomials (12 papers) and Advanced Topology and Set Theory (11 papers). Hermann Render is often cited by papers focused on Advanced Numerical Analysis Techniques (15 papers), Mathematical functions and polynomials (12 papers) and Advanced Topology and Set Theory (11 papers). Hermann Render collaborates with scholars based in Ireland, Spain and Bulgaria. Hermann Render's co-authors include Ognyan Kounchev, J. M. Aldaz, Stephen J. Gardiner, Peter Ebenfelt, Erik Lundberg, Rainer Brück, Nira Dyn, David Levin, Lothar Rogge and Dmitry Khavinson and has published in prestigious journals such as Mathematics of Computation, Journal of Mathematical Analysis and Applications and Transactions of the American Mathematical Society.

In The Last Decade

Hermann Render

55 papers receiving 276 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Hermann Render Ireland	10	167	96	84	67	62	63	302
С. Б. Стечкин Russia	9	160 1.0×	74 0.8×	35 0.4×	33 0.5×	97 1.6×	28	273
В. Ф. Бабенко Ukraine	8	197 1.2×	63 0.7×	35 0.4×	28 0.4×	178 2.9×	102	287
Nadeem Rao India	14	279 1.7×	69 0.7×	34 0.4×	44 0.7×	280 4.5×	49	506
Ognyan Kounchev Bulgaria	9	101 0.6×	26 0.3×	112 1.3×	14 0.2×	51 0.8×	48	219
Victor L. Shapiro United States	12	392 2.3×	174 1.8×	32 0.4×	51 0.8×	98 1.6×	90	546
A. Jakimovski Israel	10	128 0.8×	70 0.7×	22 0.3×	40 0.6×	58 0.9×	52	303
Н. П. Корнейчук Czechia	8	163 1.0×	44 0.5×	53 0.6×	25 0.4×	202 3.3×	42	325
П. А. Бородин Russia	12	200 1.2×	157 1.6×	7 0.1×	119 1.8×	69 1.1×	61	359
J. P. Revalski Bulgaria	12	184 1.1×	129 1.3×	13 0.2×	161 2.4×	86 1.4×	39	443
F. G. Аbdullayev Türkiye	12	335 2.0×	18 0.2×	10 0.1×	129 1.9×	66 1.1×	60	378

Countries citing papers authored by Hermann Render

Since Specialization

Citations

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

Fields of papers citing papers by Hermann Render

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Hermann Render

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

Render, Hermann, et al.. (2023). A Fischer type decomposition theorem from the apolar inner product. Analysis and Mathematical Physics. 13(6).

Kounchev, Ognyan, et al.. (2022). Fast algorithms for interpolation with L-splines for differential operators L of order 4 with constant coefficients. Journal of Computational and Applied Mathematics. 422. 114898–114898. 4 indexed citations

Gardiner, Stephen J. & Hermann Render. (2020). Harmonic extension from the exterior of a cylinder. Proceedings of the American Mathematical Society. 149(3). 1077–1089. 3 indexed citations

Kounchev, Ognyan & Hermann Render. (2019). Interpolation of data functions on parallel hyperplanes. Journal of Approximation Theory. 246. 43–61. 1 indexed citations

Mazure, Marie‐Laurence, et al.. (2018). Nested sequences of rational spaces: Bernstein approximation, dimension elevation, and Pólya-type theorems on positive polynomials. Journal of Approximation Theory. 234. 20–50. 1 indexed citations

Gardiner, Stephen J. & Hermann Render. (2015). Harmonic functions which vanish on a cylindrical surface. Journal of Mathematical Analysis and Applications. 433(2). 1870–1882. 7 indexed citations

Dyn, Nira, Ognyan Kounchev, David Levin, & Hermann Render. (2014). Regularity of generalized Daubechies wavelets reproducing exponential polynomials with real-valued parameters. Applied and Computational Harmonic Analysis. 37(2). 288–306. 11 indexed citations

Lundberg, Erik & Hermann Render. (2010). The Khavinson–Shapiro conjecture and polynomial decompositions. Journal of Mathematical Analysis and Applications. 376(2). 506–513. 7 indexed citations

Kounchev, Ognyan & Hermann Render. (2007). Padé approximation for a multivariate Markov transform. Journal of Computational and Applied Mathematics. 219(2). 416–430. 1 indexed citations

10.

Kounchev, Ognyan & Hermann Render. (2005). Cardinal interpolation with polysplines on annuli. Journal of Approximation Theory. 137(1). 89–107. 12 indexed citations

11.

Render, Hermann, et al.. (2004). Continuous function spaces, (db)-spaces and strongly Hewitt spaces. Topology and its Applications. 141(1-3). 171–186. 3 indexed citations

12.

Kounchev, Ognyan & Hermann Render. (2003). The approximation order of polysplines. Proceedings of the American Mathematical Society. 132(2). 455–461. 9 indexed citations

13.

Render, Hermann. (1999). On the property (db) for continuous function spaces. Topology and its Applications. 92(2). 101–106. 1 indexed citations

14.

Render, Hermann. (1997). Topological algebras with an orthogonal total sequence. Colloquium Mathematicum. 72(2). 215–222. 2 indexed citations

15.

Render, Hermann. (1996). A nonstandard approach to realcompactness with applications to the equation ν(X × Y) = ν(X) × ν(Y). Topology and its Applications. 68(3). 205–239. 1 indexed citations

16.

Render, Hermann. (1995). COVERING FUNCTIONS AND THE INVERSE STANDARD PART MAP. Mathematica japonica. 42(2). 301–318.

17.

Render, Hermann. (1995). Nonstandard methods of completing quasi-uniform spaces. Topology and its Applications. 62(2). 101–125. 3 indexed citations

18.

Render, Hermann. (1993). Nonstandard topology on function spaces with applications to hyperspaces. Transactions of the American Mathematical Society. 336(1). 101–119. 5 indexed citations

19.

Render, Hermann. (1993). Nonstandard Topology on Function Spaces with Applications to Hyperspaces. Transactions of the American Mathematical Society. 336(1). 101–101. 1 indexed citations

20.

Render, Hermann. (1993). On the Continuity of Internal Functions. Publications de l Institut Mathematique. 139–143. 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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