Ernst Hairer

25.1k citations
119 papers · 17.1k indexed · 8 hit papers · h-index 42

Ernst Hairer

117 papers receiving 15.7k citations

Hit Papers

Geometric Numerical Integration: Struct...1.8k198920262001201310002.0k3.0k

Peers

Ernst Hairer
Comparison fields: 5 of 166
  • Numerical Analysis 10.3k
  • Computational Mechanics 6.5k
  • Computational Theory and Mathematics 4.2k
  • Modeling and Simulation 1.1k
  • 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

The 25 scholars most cited alongside Ernst Hairer, 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 Ernst Hairer Line = papers co-authored together Ernst Hairer links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown
#Work
1 20230
2 20213
3 20207
4 201333
5 20131
6 20100
7 200917
8
CONJUGATE-SYMPLECTICITY OF LINEAR MULTISTEP METHODS *
20088
9 200839
10
L'analyse au fil de l'histoire
20014
11
Some properties of symplectic Runge-Kutta methods
20001
12 200010
13 200039
14 1999188
15 199615
16
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problemsbreakdown →
19931003
17
Stiff and differential-algebraic problems
1991218
18 198848
19 1978181
20 19788

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), Electromagnetic Simulation and Numerical Methods (27 papers), Matrix Theory and Algorithms (27 papers), Differential Equations and Numerical Methods (18 papers), Computational Fluid Dynamics and Aerodynamics (14 papers), Quantum chaos and dynamical systems (12 papers) and Model Reduction and Neural Networks (11 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 Numerische Mathematik, BIT Numerical Mathematics, Applied Numerical Mathematics, SIAM Journal on Numerical Analysis and Journal of Computational and Applied Mathematics.

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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