Arieh Iserles
Arieh Iserles (born September 2, 1947 ) is an Israeli mathematician who deals with numerical mathematics and especially numerics of differential equations.
Iserles studied at the Hebrew University and at the Ben Gurion University of the Negev , where he received his doctorate in 1978 under Giacomo Della Riccia (Numerical Solution of Stiff Differential Equations). He was a post-doctoral student at King's College, Cambridge. 1986/87 he was an associate professor at the University of Arizona . He has been a Lecturer since 1987 , Reader since 1995 and Professor of Numerical Analysis of Differential Equations at Cambridge University (DAMTP) and Director of the Cambridge Center for Analysis (CCA) since 1999 .
Among other things, he deals with highly oscillating systems, geometric integration (e.g. discretization methods for symmetries of Lie groups), exponential integrators and asymptotic developments in differential equations, calculation of matrix exponentials and isospectal flows while maintaining the Lie-Poisson structure.
In 2012 he was invited speaker at the European Congress of Mathematicians in Krakow. In 1999 he was Onsager Professor in Trondheim and in 2012 he received the David Crichton Medal. In 2014 he received the SIAM Prize for Distinguished Service to the Profession.
He is editor of Acta Numerica and the IMA Journal of Numerical Analysis. From 1997 to 2000 he was President of the Society for the Foundations of Computational Mathematics.
Fonts (selection)
- A First Course in the Numerical Analysis of Differential Equations, Cambridge University Press, 1996, 2nd edition 2008 (also translated into Chinese)
- with SP Nørsett : Order Stars, Chapman & Hall, 1991
- with SP Nørsett: Efficient quadrature of highly oscillatory integrals using derivatives, Proc. Royal Soc. A, Volume 461, 2005, pp. 1383-1399.
- with SP Nørsett: Quadrature methods for multivariate highly oscillatory integrals using derivatives, Mathematics of Computation, Volume 75, 2006, pp. 1233-1258.
- with SP Nørsett: On quadrature methods for highly oscillatory integrals and their implementation, BIT Numerical Mathematics, Volume 44, 2004, pp. 755–772
- with AM Bloch: On an isospectral Lie-Poisson system and its Lie algebra, Found. Comp. Maths, Volume 6, 2006, pp. 121-144.
- with GRW Quispel, PSP Tse: B-series methods cannot be volume preserving, BIT, Volume 47, 2007, pp. 351–378.
- with A. Zanna: Efficient computation of the matrix exponential by generalized polar decompositions, SIAM J. Num. Anal., Volume 42, 2005, pp. 2218-2256.
- with HZ Munthe-Kaas, SP Nørsett, A. Zanna: Lie-group methods, Acta numerica, Volume 9, 2000, pp. 215-365
- with SP Nørsett: On the solution of linear differential equations in Lie groups, Phil. Trans. Roy. Soc. A, Vol. 357, 1999, pp. 983-1019.
- On the generalized pantograph functional-differential equation, European Journal of Applied Mathematics, Volume 4, 1993, pp. 1-38
- On the numerical quadrature of highly ‐ oscillating integrals I: Fourier transforms, IMA Journal of Numerical Analysis, Volume 24, 2004, pp. 365–391
- Stability and dynamics of numerical methods for nonlinear ordinary differential equations, IMA journal of numerical analysis, Volume 10, 1990, pp. 1-30
- with Mari Paz Calvo, Antonella Zanna: Numerical solution of isospectral flows, Mathematics of Computation, Volume 66, 1997, pp. 1461-1486.
- with SP Nørsett: On the theory of parallel Runge-Kutta methods, IMA Journal of numerical Analysis, Volume 10, 1990, pp. 463-488
- with E. Celledoni: Approximating the exponential from a Lie algebra to a Lie group, Mathematics of Computation, Volume 69, 2000, pp. 1457-1480
- with Gilbert Strang : The optimal accuracy of difference schemes, Transactions of the American Mathematical Society, Volume 277, 1983, pp. 779-803
- On the global error of discretization methods for highly-oscillatory ordinary differential equations, BIT Numerical Mathematics, Volume 42, 2002, pp. 561-599
- with A. Marthinsen, SP Nørsett: On the implementation of the method of Magnus series for linear differential equations, BIT Numerical Mathematics, Volume 39, 1999, pp. 281-304
- Generalized leapfrog methods, IMA Journal of Numerical Analysis, Volume 6, 1986, pp. 381-392
- Solving linear ordinary differential equations by exponentials of iterated commutators, Numerische Mathematik, Volume 45, 1984, pp. 183-199
- with GRW Quispel: Why geometric integration?, Arxiv 2016
Web links
Individual evidence
- ↑ Arieh Iserles in the Mathematics Genealogy Project (English)
| personal data | |
|---|---|
| SURNAME | Iserles, Arieh |
| BRIEF DESCRIPTION | Israeli mathematician |
| DATE OF BIRTH | September 2, 1947 |