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| Ernst Hairer | |
|---|---|
| Name | Ernst Hairer |
| Birth date | 5 November 1949 |
| Birth place | Zurich, Switzerland |
| Nationality | Swiss |
| Fields | Numerical analysis, Ordinary differential equations, Scientific computing |
| Alma mater | ETH Zurich |
| Doctoral advisor | Eduard Stiefel |
Ernst Hairer is a Swiss mathematician noted for contributions to numerical analysis, particularly the numerical solution of ordinary differential equations and geometric numerical integration. His work spans theoretical foundations, algorithm design, and expository writing that influenced researchers at institutions across Europe and North America. Hairer collaborated widely with mathematicians and practitioners active in applied mathematics, computational physics, and engineering.
Born in Zurich, Hairer completed his secondary education before enrolling at ETH Zurich, where he studied mathematics under the milieu of Swiss numerical analysis and computational mathematics traditions. At ETH Zurich he pursued graduate research culminating in a doctorate under the supervision of Eduard Stiefel, connecting him to the lineage of numerical linear algebra and computational methods associated with Eidgenössische Technische Hochschule Zürich research groups. During his doctoral and postdoctoral period he interacted with scholars from University of Geneva, University of Basel, and research centers such as CERN that fostered cross-disciplinary numerical work.
Hairer held faculty and research positions at prominent European universities and research institutes. He served on the faculty of the University of Geneva and later at institutions including the Université de Genève mathematics department, collaborating with colleagues from ETH Zurich, University of Bern, and Université Lausanne. His appointments involved teaching courses on numerical methods for differential equations and supervising research projects linked to groups at INRIA, Max Planck Institute for Mathematics in the Sciences, and the Paul Scherrer Institute. Hairer also participated in scientific committees for organizations such as the European Mathematical Society and consulted with laboratories connected to European Space Agency computational efforts.
Hairer is best known for foundational research on the numerical solution of ordinary differential equations (ODEs), stiff ODE solvers, and symplectic integrators for Hamiltonian systems. He coauthored influential monographs and textbooks that became standard references in applied mathematics and computational science. Notable works include multi-author volumes that influenced curricula at Princeton University, University of Cambridge, Massachusetts Institute of Technology, and Sorbonne University. His research investigated backward error analysis, stability of numerical methods, and structure-preserving algorithms relevant to problems studied at CERN, Max Planck Society, Los Alamos National Laboratory, and IBM Research.
Hairer collaborated with mathematicians such as Gerhard Wanner, with whom he produced seminal texts on geometric numerical integration and stiff differential equations used by researchers at University of Oxford, ETH Zurich, and Stanford University. His publications addressed practical algorithms implemented in software packages used by scientists at NASA, European Southern Observatory, National Institutes of Health, and industrial research groups at Siemens and Siemens AG. Through papers in journals like those of the Society for Industrial and Applied Mathematics and presentations at conferences organized by the International Congress of Mathematicians, Hairer disseminated advances in Runge–Kutta methods, linear multistep methods, and symplectic schemes.
Hairer received honors from mathematical societies and academic institutions acknowledging his impact on numerical analysis and computational science. He was recognized by organizations such as the Swiss Mathematical Society and the European Mathematical Society for contributions that shaped research programs at universities including ETH Zurich, University of Cambridge, and Imperial College London. National academies and research foundations in Switzerland and neighboring countries acknowledged his publications and leadership in collaborative projects with entities such as the Swiss National Science Foundation and the Austrian Science Fund.
Through doctoral supervision and mentoring, Hairer influenced a generation of numerical analysts and computational scientists who went on to positions at universities and research centers like University of Vienna, KTH Royal Institute of Technology, University of Michigan, and Technical University of Munich. His students and collaborators contributed to software development, algorithmic libraries, and academic programs at institutions including University of California, Berkeley, École Polytechnique, and University of Toronto. The methodologies he developed underpin curricula for courses at the University of Warwick, University of Edinburgh, and research training networks funded by the European Commission.
Outside academia, Hairer engaged with the scientific community through editorial work for journals published by societies such as the American Mathematical Society and the Society for Industrial and Applied Mathematics. He participated in workshops and summer schools associated with institutes like the Mathematical Research Institute of Oberwolfach and attended seminars at cultural and scientific centers including the ETH Zurich colloquia and events at the Paul Scherrer Institute. His interests encompassed the practical application of mathematics in physics and engineering contexts, connecting him to practitioners at organizations like CERN and European Space Agency.
Category:Swiss mathematicians Category:Numerical analysts