Rudolph A. Lorentz

450 total citations
25 papers, 270 citations indexed

About

Rudolph A. Lorentz is a scholar working on Computational Mechanics, Applied Mathematics and Computer Vision and Pattern Recognition. According to data from OpenAlex, Rudolph A. Lorentz has authored 25 papers receiving a total of 270 indexed citations (citations by other indexed papers that have themselves been cited), including 12 papers in Computational Mechanics, 7 papers in Applied Mathematics and 6 papers in Computer Vision and Pattern Recognition. Recurrent topics in Rudolph A. Lorentz's work include Advanced Numerical Analysis Techniques (10 papers), Polynomial and algebraic computation (5 papers) and Image and Signal Denoising Methods (4 papers). Rudolph A. Lorentz is often cited by papers focused on Advanced Numerical Analysis Techniques (10 papers), Polynomial and algebraic computation (5 papers) and Image and Signal Denoising Methods (4 papers). Rudolph A. Lorentz collaborates with scholars based in Germany, United States and Qatar. Rudolph A. Lorentz's co-authors include Peter Oswald, G. G. Lorentz, W. R. Madych, F. J. Narcowich, J. D. Ward, Raka Jovanović and Catherine H. Yan and has published in prestigious journals such as Lecture notes in mathematics, Journal of Mathematical Analysis and Applications and Applied Mathematics and Computation.

In The Last Decade

Rudolph A. Lorentz

24 papers receiving 232 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Rudolph A. Lorentz Germany	9	148	77	74	60	40	25	270
Hakop Hakopian Armenia	8	154 1.0×	82 1.1×	81 1.1×	21 0.3×	50 1.3×	28	281
G. Mühlbach Germany	11	160 1.1×	122 1.6×	62 0.8×	29 0.5×	79 2.0×	30	303
Kurt Jetter Germany	11	224 1.5×	58 0.8×	157 2.1×	73 1.2×	80 2.0×	34	442
Florencio I. Utreras Chile	10	137 0.9×	51 0.7×	58 0.8×	61 1.0×	57 1.4×	16	310
Brigitte Verdonk Belgium	11	67 0.5×	90 1.2×	53 0.7×	18 0.3×	59 1.5×	30	294
Basarab Mateï France	10	119 0.8×	26 0.3×	55 0.7×	180 3.0×	29 0.7×	44	362
Alper Üngör United States	13	192 1.3×	32 0.4×	12 0.2×	64 1.1×	19 0.5×	24	364
Leszek Plaskota Poland	10	84 0.6×	103 1.3×	143 1.9×	41 0.7×	222 5.5×	43	396
A. Sharma Canada	13	265 1.8×	81 1.1×	249 3.4×	55 0.9×	210 5.3×	85	560
Gerhard Opfer Germany	12	100 0.7×	172 2.2×	160 2.2×	18 0.3×	132 3.3×	48	382

Countries citing papers authored by Rudolph A. Lorentz

Since Specialization

Citations

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

Fields of papers citing papers by Rudolph A. Lorentz

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Rudolph A. Lorentz. 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 Rudolph A. Lorentz. The network helps show where Rudolph A. Lorentz may publish in the future.

Co-authorship network of co-authors of Rudolph A. Lorentz

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

Lorentz, Rudolph A., et al.. (2016). Multivariate delta Gončarov and Abel polynomials. Journal of Mathematical Analysis and Applications. 446(1). 663–680.

Lorentz, Rudolph A. & Catherine H. Yan. (2016). Bivariate affine Gončarov polynomials. Discrete Mathematics. 339(9). 2371–2383. 1 indexed citations

Lorentz, Rudolph A., et al.. (2014). Bivariate Gončarov polynomials and integer sequences. Science China Mathematics. 57(8). 1561–1578. 3 indexed citations

Jovanović, Raka & Rudolph A. Lorentz. (2011). Compression of volumetric data using 3D Delaunay triangulation. cmu cs 95?181. 1–5. 2 indexed citations

Lorentz, Rudolph A.. (2008). On the entropy of a function. Journal of Approximation Theory. 158(2). 145–150. 7 indexed citations

Lorentz, Rudolph A.. (2000). Multivariate Hermite interpolation by algebraic polynomials: A survey. Journal of Computational and Applied Mathematics. 122(1-2). 167–201. 57 indexed citations

Lorentz, Rudolph A. & Peter Oswald. (2000). Criteria for Hierarchical Bases in Sobolev Spaces. Applied and Computational Harmonic Analysis. 8(1). 32–85. 24 indexed citations

Lorentz, Rudolph A., et al.. (1998). Translation and Dilation Invariant Subspaces ofL2(R) and Multiresolution Analyses. Applied and Computational Harmonic Analysis. 5(4). 375–388. 9 indexed citations

Lorentz, Rudolph A., et al.. (1998). Subspaces generated by wavelet systems. Mathematical Notes. 63(2). 260–263. 3 indexed citations

10.

Lorentz, Rudolph A., et al.. (1994). Orthogonal Trigonometric Schauder Bases of Optimal Degree for C(K). Journal of Fourier Analysis and Applications. 1(1). 103–112. 15 indexed citations

11.

Lorentz, Rudolph A.. (1992). Multivariate Birkhoff Interpolation. Lecture notes in mathematics. 68 indexed citations

12.

Lorentz, Rudolph A. & W. R. Madych. (1992). Wavelets and generalized box splines. Applicable Analysis. 44(1-2). 51–76. 5 indexed citations

13.

Lorentz, Rudolph A.. (1990). Uniform bivariate Hermite interpolation. Mathematische Zeitschrift. 203(1). 193–209. 2 indexed citations

14.

Lorentz, Rudolph A.. (1987). On the determinant of a bivariate Birkhoff interpolation problem. Clarendon Press eBooks. 169–179. 1 indexed citations

15.

Lorentz, G. G. & Rudolph A. Lorentz. (1986). Solvability problems of bivariate interpolation I. Constructive Approximation. 2(1). 153–169. 13 indexed citations

16.

Lorentz, Rudolph A.. (1985). Simultaneous approximation and Birkhoff interpolation II: The periodic case. Journal of Approximation Theory. 44(1). 21–29. 1 indexed citations

17.

Lorentz, Rudolph A.. (1983). Simultaneous approximation, interpolation and Birkhoff systems. Journal of Approximation Theory. 37(2). 125–136. 1 indexed citations

18.

Lorentz, Rudolph A.. (1980). Convergence of numerical differentiation. Journal of Approximation Theory. 30(1). 59–70. 2 indexed citations

19.

Lorentz, Rudolph A.. (1975). Nonuniqueness of simultaneous approximation by algebraic polynomials. Journal of Approximation Theory. 13(1). 17–23. 4 indexed citations

20.

Lorentz, Rudolph A.. (1971). Uniqueness of best approximation by monotone polynomials. Journal of Approximation Theory. 4(4). 401–418. 20 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.

Explore authors with similar magnitude of impact