Balth. van der Pol

6.0k total citations · 2 hit papers
12 papers, 1.1k citations indexed

About

Balth. van der Pol is a scholar working on Numerical Analysis, Applied Mathematics and Geometry and Topology. According to data from OpenAlex, Balth. van der Pol has authored 12 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 4 papers in Numerical Analysis, 4 papers in Applied Mathematics and 3 papers in Geometry and Topology. Recurrent topics in Balth. van der Pol's work include Differential Equations and Boundary Problems (4 papers), Numerical methods for differential equations (2 papers) and Differential Equations and Numerical Methods (2 papers). Balth. van der Pol is often cited by papers focused on Differential Equations and Boundary Problems (4 papers), Numerical methods for differential equations (2 papers) and Differential Equations and Numerical Methods (2 papers). Balth. van der Pol collaborates with scholars based in Switzerland, Israel and United States. Balth. van der Pol's co-authors include G. E. Uhlenbeck, J. Gillis and Mark Kac and has published in prestigious journals such as Physics Today, Journal of the Franklin Institute and American Mathematical Monthly.

In The Last Decade

Balth. van der Pol

10 papers receiving 910 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.

Probability and Related Topics in Physical Sciences.

1960 552 citations G. E. Uhlenbeck, Balth. van der Pol et al. American Mathematical Monthly profile →
Probability and Related Topics in Physical Sciences

1960 444 citations Mark Kac, G. E. Uhlenbeck et al. Physics Today profile →

Peers

Countries citing papers authored by Balth. van der Pol

Since Specialization

Citations

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

Fields of papers citing papers by Balth. van der Pol

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Balth. van der Pol. 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 Balth. van der Pol. The network helps show where Balth. van der Pol may publish in the future.

Co-authorship network of co-authors of Balth. van der Pol

This figure shows the co-authorship network connecting the top 25 collaborators of Balth. van der Pol. A scholar is included among the top collaborators of Balth. van der Pol 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 Balth. van der Pol. Balth. van der Pol 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:

12 of 12 papers shown

#	Work	Indexed citations
1	On series of the reciprocals of the jacobian theta functions 1960 ·Indagationes Mathematicae (Proceedings) ·Balth. van der Pol	1
2	On the propagation of a discontinuous electro-magnetic wave 1960 ·Indagationes Mathematicae (Proceedings) ·Balth. van der Pol, (unknown)	4
3	Probability and Related Topics in Physical Sciences breakdown → 1960 ·Physics Today ·Mark Kac, G. E. Uhlenbeck, (unknown), Balth. van der Pol, J. Gillis	444
4	Probability and Related Topics in Physical Sciences. breakdown → 1960 ·American Mathematical Monthly ·(unknown), (unknown), G. E. Uhlenbeck, (unknown), Balth. van der Pol	552
5	On a Generalisation of the Non-Linear Differential Equation <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mrow><mml:mfrac><mml:mrow><mml:msup><mml:mi>d</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mi>u</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:msup><mml:mi>t</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mfrac><mml:mo>-</mml:mo><mml:mi>ε</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:msup><mml:mi>μ</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo stretchy="false">)</mml:mo><mml:mfrac><mml:mrow><mml:mi>d</mml:mi><mml:mi>u</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:mfrac><mml:mo>+</mml:mo><mml:mi>u</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:mrow></mml:math> 1957 ·Indagationes Mathematicae (Proceedings) ·Balth. van der Pol	3
6	Equations Differentielles Lineaires Verifiees par Certaines Fonctions Modulaires Elliptiques 1956 ·Indagationes Mathematicae (Proceedings) ·(unknown), Balth. van der Pol	2
7	On discontinuous electromagnetic waves and the occurrence of a surface wave 1956 ·IRE Transactions on Antennas and Propagation ·Balth. van der Pol	32
8	The Representation of Numbers as Sums of Eight, Sixteen and Twenty-Four Squares 1954 ·Indagationes Mathematicae (Proceedings) ·Balth. van der Pol	8
9	Radio technology and the theory of numbers 1953 ·Journal of the Franklin Institute ·Balth. van der Pol	4
10	On a Non-Linear Partial Differential Equation Satisfied by the Logarithm of The Jacobian Thetafunctions, With Arithmetical Applications. I 1951 ·Indagationes Mathematicae (Proceedings) ·Balth. van der Pol	17
11	The Primes in k(ϱ) 1951 ·Indagationes Mathematicae (Proceedings) ·Balth. van der Pol, (unknown)	2
12	On a Non-Linear Partial Differential Equation Satisfied by the Logarithm of the Jacobian Thetafunctions, With Arithmetical Applications. II 1951 ·Indagationes Mathematicae (Proceedings) ·Balth. van der Pol	5

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