World's Best Scientists 2026 revealed!
Award Badge
Mathematics
Switzerland
2026

D-Index & Metrics

Mathematics

D-Index
64
Citations
46300
World Ranking
401
National Ranking
6

Research.com Recognitions

  • 2026 - Research.com Mathematics in Switzerland Leader Award
  • 2025 - Research.com Mathematics in Switzerland Leader Award
  • 2022 - Research.com Mathematics in Switzerland Leader Award
  • 2009 - SIAM Fellow For contributions to numerical ordinary differential equations and geometric integration.

Overview

Ernst Hairer is a researcher affiliated with the University of Geneva in Switzerland, specializing in numerical analysis and its applications across engineering, mathematics, and physics.

Their research primarily focuses on numerical methods for differential equations, magnetic confinement fusion research, and superconducting materials and applications. They have contributed to advanced numerical methods in computational mathematics, quantum chaos and dynamical systems, electromagnetic simulation and numerical methods, and particle accelerators and beam dynamics.

Key publications by Ernst Hairer include:

  • A filtered Boris algorithm for charged-particle dynamics in a strong magnetic field, 2020, Numerische Mathematik
  • Long-term analysis of a variational integrator for charged-particle dynamics in a strong magnetic field, 2020, Numerische Mathematik
  • Large-stepsize integrators for charged-particle dynamics over multiple time scales, 2022, Numerische Mathematik

Frequent co-authors collaborating with Hairer are:

  • Christian Lubich
  • Nicola Guglielmi
  • S. González-Pinto
  • D. Hernández-Abreu
  • Yanyan Shi

Hairer's work appears regularly in the following publication venues:

  • arXiv (Cornell University)
  • Numerische Mathematik
  • SIAM Journal on Numerical Analysis
  • BIT Numerical Mathematics
  • SIAM Journal on Scientific Computing

Their research overlaps with several specialized subfields, notably numerical analysis, nuclear and high energy physics, biomedical engineering, computational mechanics, as well as electrical and electronic engineering.

Among professional recognitions, Ernst Hairer was named an SIAM Fellow in 2009 for contributions to numerical ordinary differential equations and geometric integration.

Best Publications

  • Solving Ordinary Differential Equations II: Stiff and Differential - Algebraic Problems

    Ernst Hairer;Gerhard Wanner

  • Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations

    Ernst Hairer;Christian Lubich;Gerhard Wanner

  • Geometric numerical integration

    Erwan Faou;Ernst Hairer;Marlis Hochbruck;Christian Lubich

  • Solving Ordinary Differential Equations I: Nonstiff Problems

    Ernst Hairer;Syvert Paul Norsett;Gerhard Wanner

  • Solving Ordinary Differential Equations II

    Ernst Hairer;Gerhard Wanner

  • Solving Ordinary Differential Equations I

    Ernst Hairer;Syvert Paul Nørsett;Gerhard Wanner

  • The numerical solution of differential-algebraic systems by Runge-Kutta methods

    Ernst Hairer;Christian Lubich;Michel Roche

  • Geometric numerical integration illustrated by the Störmer-Verlet method

    Ernst Hairer;Christian Lubich;Gerhard Wanner

  • One-step and extrapolation methods for differential- algebraic systems

    P. Deufhard;E. Hairer;J. Zugck

  • Stiff and differential-algebraic problems

    E. Hairer;G. Wanner

  • Stiff differential equations solved by Radau methods

    Ernst Hairer;Gerhard Wanner

  • Order stars and stability theorems

    Gerhard Wanner;Ernst Hairer;Syvert Paul Norsett

  • Long-Time Energy Conservation of Numerical Methods for Oscillatory Differential Equations

    Ernst Hairer;Christian Lubich

  • On the Butcher group and general multi-value methods

    Ernst Hairer;Gerhard Wanner

  • Energy-preserving variant of collocation methods 1

    Ernst Hairer

  • Backward analysis of numerical integrators and symplectic methods

    Ernst Hairer

  • FAST NUMERICAL SOLUTION OF NONLINEAR VOLTERRA CONVOLUTION EQUATIONS

    Ernst Hairer;Christian Lubich;Manfred Schlichte

  • The life-span of backward error analysis for numerical integrators

    Ernst Hairer;Christian Lubich

  • Unconditionally stable methods for second order differential equations

    E. Hairer

  • Examples of Stiff Equations

    Ernst Hairer;Gerhard Wanner

  • Acta Numerica 2003: Geometric numerical integration illustrated by the Störmer–Verlet method

    Ernst Hairer;Christian Lubich;Gerhard Wanner

  • Book Review: Simulating Hamiltonian dynamics

    Ernst Hairer;Gerhard Wanner

Frequent Co-Authors

Christian Lubich
Christian Lubich University of Tübingen
Syvert P. Nørsett
Syvert P. Nørsett Norwegian University of Science and Technology
Arieh Iserles
Arieh Iserles University of Cambridge
Jesús María Sanz-Serna
Jesús María Sanz-Serna Carlos III University of Madrid
Alexander Ostermann
Alexander Ostermann University of Innsbruck
Martin J. Gander
Martin J. Gander University of Geneva
Hermann Brunner
Hermann Brunner Hong Kong Baptist University
Björn Engquist
Björn Engquist The University of Texas at Austin
Robert I. McLachlan
Robert I. McLachlan Massey University
Jan S. Hesthaven
Jan S. Hesthaven Karlsruhe Institute of Technology

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students pursuing Mathematics in the USA, exploring related online degrees can broaden career prospects. Many professionals complement their math skills with business or finance-focused qualifications. For example, earning the cheapest aacsb online dba can be a strategic move for those interested in data-driven decision-making roles in corporate environments.

Additionally, an online masters in finance offers a strong foundation in financial analysis and risk management, fields that heavily rely on mathematical models.

For individuals planning to fast-track their education, exploring the shortest online mba programs can provide essential leadership and management skills without the time commitment of traditional degrees.

Finally, combining math expertise with marketing knowledge is increasingly valuable. A master's degree in marketing can open doors to data analytics and consumer insights careers.

Best Scientists Citing Ernst Hairer

Trending Scientists

Recently Published Articles