Lothar Collatz

5.1k citations
58 papers · 3.9k · 3 hit papers · h-index 16

Impact in

Papers in

    • Numerical methods for differential equations 15
    • Differential Equations and Numerical Methods 4
    • Iterative Methods for Nonlinear Equations 4
    • Physics and Engineering Research Articles 14
    • Advanced Numerical Methods in Computational Mathematics 3

Lothar Collatz

46 papers receiving 3.2k citations

Lothar Collatz's Hit Papers

The Numerical Treatment of Differential Equations 1960 · 352 citations
3520+23+46Years since publication4008001.2k

Peers

Lothar Collatz
Comparison fields: 5 of 118
  • Numerical Analysis 1.2k
  • Computational Theory and Mathematics 1.2k
  • Computational Mechanics 1.1k
  • Geometry and Topology 452
  • Applied Mathematics 424
Replace A. S. Householder with:
A. S. Householder United States
Wolfgang R. Wasow United States
Henry C. Thacher United States
Eugene L. Allgower United States
Kurt Georg United States
C. W. Clenshaw United Kingdom
James N. Lyness United States
Philip Rabinowitz Israel
Joel Franklin United States
Claude Brezinski France
Lothar Collatz relative to A. S. Householder United States A. S. Householder's profile →
Citations per field
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A. S. Householder · 1×
Citations per year

Countries citing papers authored by Lothar Collatz

Since Specialization
Citations

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

Fields of papers citing papers by Lothar Collatz

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authors

The 5 scholars most cited alongside Lothar Collatz, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Lothar Collatz Line = papers co-authored together Lothar Collatz links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 58 papers — load more, or switch the sort, to bring in the rest.

#Work
1
The Numerical Treatment of Differential Equations
Hit paper breakdown →
19601228
2
Spektren endlicher grafen
Hit paper breakdown →
1957412
3
The Numerical Treatment of Differential Equations
Hit paper breakdown →
1960352
4 1968291
5 1964286
6 1960251
7 1964199
8 1951188
9 1961166
10 1951118
11 197359
12 196658
13 197152
14 196426
15 196025
16 195319
17
Differential Equations: An Introduction With Applications
198614
18 196014
19 197812
20 196011

About Lothar Collatz

Lothar Collatz is a scholar working on Numerical Analysis, Computational Mechanics, Computational Theory and Mathematics, Applied Mathematics and Geometry and Topology, having authored 58 papers that have together received 3.9k indexed citations. Recurring topics across this work include Numerical methods for differential equations (15 papers), Physics and Engineering Research Articles (14 papers), Matrix Theory and Algorithms (11 papers), Differential Equations and Numerical Methods (4 papers), Engineering and Materials Science Studies (4 papers), Iterative Methods for Nonlinear Equations (4 papers), Differential Equations and Boundary Problems (3 papers) and Advanced Numerical Methods in Computational Mathematics (3 papers). The work is most often cited by research in Numerical Analysis (1.2k citations), Computational Theory and Mathematics (1.2k citations), Computational Mechanics (1.1k citations), Geometry and Topology (452 citations) and Applied Mathematics (424 citations). Lothar Collatz has collaborated with scholars based in Germany. Frequent co-authors include Peter Williams, Richard C. Roberts, Werner Krabs, L. Collatz and Henry Görtler. Their work appears in journals such as Zeitschrift für angewandte Mathematik und Physik, Lecture notes in mathematics, Mathematics of Computation, Results in Mathematics and Mathematische Zeitschrift.

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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