Lisa Lorentzen

631 total citations
27 papers, 379 citations indexed

About

Lisa Lorentzen is a scholar working on Applied Mathematics, Numerical Analysis and Mathematical Physics. According to data from OpenAlex, Lisa Lorentzen has authored 27 papers receiving a total of 379 indexed citations (citations by other indexed papers that have themselves been cited), including 16 papers in Applied Mathematics, 12 papers in Numerical Analysis and 11 papers in Mathematical Physics. Recurrent topics in Lisa Lorentzen's work include Mathematical functions and polynomials (10 papers), Mathematical Dynamics and Fractals (8 papers) and Iterative Methods for Nonlinear Equations (8 papers). Lisa Lorentzen is often cited by papers focused on Mathematical functions and polynomials (10 papers), Mathematical Dynamics and Fractals (8 papers) and Iterative Methods for Nonlinear Equations (8 papers). Lisa Lorentzen collaborates with scholars based in Norway and United Kingdom. Lisa Lorentzen's co-authors include Haakon Waadeland, David R. Masson, Vidar Gynnild, St. Ruscheweyh and Alan F. Beardon 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

Lisa Lorentzen

25 papers receiving 333 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Lisa Lorentzen Norway 8 147 105 76 73 64 27 379
P. J. Bushell United Kingdom 11 221 1.5× 71 0.7× 90 1.2× 27 0.4× 90 1.4× 21 393
Haakon Waadeland Norway 11 384 2.6× 180 1.7× 139 1.8× 100 1.4× 157 2.5× 44 652
Martin E. Muldoon Canada 15 646 4.4× 95 0.9× 138 1.8× 92 1.3× 151 2.4× 64 751
B. Nagy Hungary 13 172 1.2× 137 1.3× 110 1.4× 46 0.6× 44 0.7× 39 369
Mustapha Rachidi Morocco 12 55 0.4× 85 0.8× 150 2.0× 98 1.3× 86 1.3× 71 384
G. L. Litvinov Russia 8 48 0.3× 57 0.5× 88 1.2× 45 0.6× 17 0.3× 20 239
Andrea Laforgia Italy 16 616 4.2× 82 0.8× 75 1.0× 66 0.9× 141 2.2× 67 730
J. Marshall Ash United States 11 227 1.5× 136 1.3× 50 0.7× 57 0.8× 50 0.8× 82 415
P. K. Suetin Russia 6 165 1.1× 44 0.4× 76 1.0× 23 0.3× 55 0.9× 11 297
Peter D Dragnev United States 9 166 1.1× 95 0.9× 76 1.0× 26 0.4× 135 2.1× 40 317

Countries citing papers authored by Lisa Lorentzen

Since Specialization
Citations

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

Fields of papers citing papers by Lisa Lorentzen

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Lisa Lorentzen

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

All Works

20 of 20 papers shown
1.
Lorentzen, Lisa. (2010). Padé approximation and continued fractions. Applied Numerical Mathematics. 60(12). 1364–1370. 13 indexed citations
2.
Lorentzen, Lisa. (2008). Convergence and divergence of the Ramanujan AGM fraction. The Ramanujan Journal. 16(1). 83–95. 1 indexed citations
3.
Lorentzen, Lisa. (2008). Continued fractions with circular twin value sets. Transactions of the American Mathematical Society. 360(8). 4287–4304. 5 indexed citations
4.
Gynnild, Vidar, et al.. (2005). Approaches to Study and the Quality of Learning. Some Empirical Evidence from Engineering Education. International Journal of Science and Mathematics Education. 3(4). 587–607. 14 indexed citations
5.
Beardon, Alan F. & Lisa Lorentzen. (2004). Continued Fractions and Restrained Sequences of Möbius Maps. Rocky Mountain Journal of Mathematics. 34(2). 4 indexed citations
6.
Lorentzen, Lisa. (2003). Plenary Papers A Priori Truncation Error Bounds for Continued Fractions. Rocky Mountain Journal of Mathematics. 33(2). 4 indexed citations
7.
Beardon, Alan F. & Lisa Lorentzen. (2001). Approximants of Śleszyński–Pringsheim continued fractions. Journal of Computational and Applied Mathematics. 132(2). 467–477. 2 indexed citations
8.
Lorentzen, Lisa. (2001). On the Convergence of Limit Periodic Continued Fractions K(an/1) where an→ - ¼. Part IV. Constructive Approximation. 18(1). 1–17. 1 indexed citations
9.
Lorentzen, Lisa. (2000). Ideas from Continued Fraction Theory Extended to Padé Approximation and Generalized Iteration. Acta Applicandae Mathematicae. 61(1-3). 185–206. 1 indexed citations
10.
Lorentzen, Lisa. (1996). Continued Compositions of Linear Fractional Transformations. Journal of Mathematical Analysis and Applications. 199(1). 130–137.
11.
Lorentzen, Lisa. (1995). A convergence question inspired by Stieltjes and by value sets in continued fraction theory. Journal of Computational and Applied Mathematics. 65(1-3). 233–251. 4 indexed citations
12.
Lorentzen, Lisa. (1994). Properties of Limit Sets and Convergence of Continued Fractions. Journal of Mathematical Analysis and Applications. 185(2). 229–255. 1 indexed citations
13.
Masson, David R., Lisa Lorentzen, & Haakon Waadeland. (1994). Continued Fractions with Applications.. Mathematics of Computation. 62(205). 431–431. 230 indexed citations
14.
Lorentzen, Lisa. (1994). Divergence of continued fractions related to hypergeometric series. Mathematics of Computation. 62(206). 671–686. 2 indexed citations
15.
Lorentzen, Lisa. (1994). The closure of convergence sets for continued fractions are convergence sets. Proceedings of the Edinburgh Mathematical Society. 37(1). 39–46. 1 indexed citations
16.
Lorentzen, Lisa. (1993). A note on separate convergence for continued fractions. Journal of Computational and Applied Mathematics. 47(1). 123–133. 2 indexed citations
17.
Lorentzen, Lisa & St. Ruscheweyh. (1993). Simple Convergence Sets for Continued Fractions K(a/1). Journal of Mathematical Analysis and Applications. 179(2). 349–370. 7 indexed citations
18.
Lorentzen, Lisa. (1993). Analytic Continuation of Functions Given by Continued Fractions, Revisited. Rocky Mountain Journal of Mathematics. 23(2). 5 indexed citations
19.
Lorentzen, Lisa. (1992). Bestness of the parabola theorem for continued fractions. Journal of Computational and Applied Mathematics. 40(3). 297–304. 1 indexed citations
20.
Lorentzen, Lisa. (1990). Compositions of contractions. Journal of Computational and Applied Mathematics. 32(1-2). 169–178. 18 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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