Ernst Hairer

25.1k citations
119 papers · 17.1k indexed · 8 hit papers · h-index 42
Topics
Numerical methods for differential equations (103 papers)Advanced Numerical Methods in Computational Mathematics (46 papers)Electromagnetic Simulation and Numerical Methods (27 papers)
Partner nations
SwitzerlandGermanyFrance

In The Last Decade

Ernst Hairer

117 papers receiving 15.7k citations

Hit Papers

Solving Ordinary Differential Equations II: Stiff and Dif...19892026200120131991199620092002199110002.0k3.0k

Peers

Ernst Hairer
Comparison fields: 5 of 166
  • Numerical Analysis 10.3k
  • Computational Mechanics 6.5k
  • Computational Theory and Mathematics 4.2k
  • Electrical and Electronic Engineering 3.4k
  • Statistical and Nonlinear Physics 2.8k
Replace Syvert P. Nørsett with:
Syvert P. Nørsett United Kingdom
Werner C. Rheinboldt United States
L. F. Shampine United States
Lloyd N. Trefethen United Kingdom
Max Gunzburger United States
Jie Shen United States
Uri M. Ascher Canada
Christian Lubich Germany
C. W. Gear United States
Qiang Du United States
Ernst Hairer relative to Syvert P. Nørsett United Kingdom Syvert P. Nørsett's profile →
Citations per field
00.5×
Syvert P. Nørsett · 1×
Citations per year

Countries citing papers authored by Ernst Hairer

Since Specialization
Citations

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

Fields of papers citing papers by Ernst Hairer

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Ernst Hairer

This figure shows the co-authorship network connecting the top 25 collaborators of Ernst Hairer. A scholar is included among the top collaborators of Ernst Hairer 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 Ernst Hairer. Ernst Hairer 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
#WorkIndexed citations
1 0
2 3
3 7
4 33
5 1
6 0
7 17
8
CONJUGATE-SYMPLECTICITY OF LINEAR MULTISTEP METHODS *
8
9 39
10
L'analyse au fil de l'histoire
4
11
Some properties of symplectic Runge-Kutta methods
1
12 10
13 39
14 188
15 15
16
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problemsbreakdown →
1003
17
Stiff and differential-algebraic problems
218
18 48
19 181
20 8

About Ernst Hairer

Ernst Hairer is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Computational Mechanics, having authored 119 papers that have together received 17.1k indexed citations. Recurring topics across this work include Numerical methods for differential equations (103 papers), Advanced Numerical Methods in Computational Mathematics (46 papers) and Electromagnetic Simulation and Numerical Methods (27 papers). The work is most often cited by research in Numerical Analysis (10.3k citations), Computational Mechanics (6.5k citations) and Computational Theory and Mathematics (4.2k citations). Ernst Hairer has collaborated with scholars based in Switzerland, Germany and France. Frequent co-authors include Gerhard Wanner, Christian Lubich, Syvert P. Nørsett, Michel Roche, Ch. Lubich, Peter Deuflhard, David Cohen, Nicola Guglielmi, Gilles Vilmart and Philippe Chartier. Their work appears in journals such as Mathematics of Computation, Communications in Mathematical Physics and SIAM Journal on Numerical Analysis.

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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