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Mathematics

D-Index
50
Citations
11973
World Ranking
1071
National Ranking
82

Overview

Arieh Iserles is affiliated with the University of Cambridge in the United Kingdom. Their research primarily spans the field of Mathematics with a significant focus on various subfields including Applied Mathematics, Mathematical Physics, Numerical Analysis, Atomic and Molecular Physics, and Optics, as well as Computational Theory and Mathematics.

Their main topics of work include:

  • Mathematical functions and polynomials
  • Numerical methods for differential equations
  • Matrix Theory and Algorithms
  • Electromagnetic Scattering and Analysis
  • Spectral Theory in Mathematical Physics
  • Numerical methods in inverse problems
  • Electromagnetic Simulation and Numerical Methods

Arieh Iserles has contributed multiple publications across various respected scientific journals and venues. Frequent publication venues include:

  • arXiv (Cornell University)
  • ESAIM. Mathematical modelling and numerical analysis
  • Journal of Fourier Analysis and Applications
  • Foundations of Computational Mathematics
  • Transactions of Mathematics and Its Applications

Recent notable papers authored by Arieh Iserles cover different aspects of mathematical and numerical analysis, including:

  • "A Family of Orthogonal Rational Functions and Other Orthogonal Systems with a skew-Hermitian Differentiation Matrix," 2020, Journal of Fourier Analysis and Applications
  • "Fast Computation of Orthogonal Systems with a Skew-Symmetric Differentiation Matrix," 2021, Communications on Pure and Applied Mathematics
  • "Stable Spectral Methods for Time-Dependent Problems and the Preservation of Structure," 2024, Foundations of Computational Mathematics

Additional related works coauthored or connected to Iserles' research domain include:

  • "Positivity-preserving methods for ordinary differential equations," 2022, ESAIM. Mathematical modelling and numerical analysis
  • "The kissing polynomials and their Hankel determinants," 2021, Transactions of Mathematics and Its Applications

Arieh Iserles collaborates frequently with several scholars in the field. Notable coauthors include Marcus Webb, Karolina Kropielnicka, Jing Gao, Georg Maierhofer, and Sergio Blanes. These collaborations indicate active engagement in joint research efforts across related subfields of mathematics.

Best Publications

  • A first course in the numerical analysis of differential equations

    Arieh Iserles

  • Lie-group methods

    Arieh Iserles;Hans Z. Munthe-Kaas;Syvert P. Nørsett;Antonella Zanna

  • Efficient quadrature of highly oscillatory integrals using derivatives

    Arieh Iserles;Syvert P Nørsett

  • On the generalized pantograph functional-differential equation

    A. Iserles

  • ON THE SOLUTION OF LINEAR DIFFERENTIAL EQUATIONS IN LIE GROUPS

    A. Iserles;S. P. Nørsett

  • A First Course in the Numerical Analysis of Differential Equations: Partial differential equations of evolution

    Arieh Iserles

  • A First Course in the Numerical Analysis of Differential Equations: Gaussian elimination for sparse linear equations

    Unknown

  • On polynomials orthogonal with respect to certain Sobolev inner products

    A. Iserles;P. E. Koch;S. P. Nørsett;J. M. Sanz-Serna

  • On Quadrature Methods for Highly Oscillatory Integrals and Their Implementation

    A. Iserles;S. P. NØrsett

  • On the numerical quadrature of highly‐oscillating integrals I: Fourier transforms

    Arieh Iserles

  • Geometric integration: numerical solution of differential equations on manifolds

    C.J. Budd;A. Iserles

  • Numerical solution of isospectral flows

    Mari Paz Calvo;Arieh Iserles;Antonella Zanna

  • Stability of the discretized pantograph differential equation

    Martin Buhmann;Arieh Iserles

  • Generalized Leapfrog Methods

    A. Iserles

  • On the Implementation of the Method of Magnus Series for Linear Differential Equations

    A. Iserles;A. Marthinsen;S. P. Nørsett

  • On the Theory of Parallel Runge—Kutta Methods

    A. Iserles;S.P. NøRSETT

  • Arbitrary-Order Trigonometric Fourier Collocation Methods for Multi-Frequency Oscillatory Systems

    Bin Wang;Arieh Iserles;Xinyuan Wu

  • The Pantograph Equation in the Complex Plane

    G. Derfel;A. Iserles

  • On the numerical quadrature of highly-oscillating integrals II: Irregular oscillators

    Arieh Iserles

  • Approximating the exponential from a Lie algebra to a Lie group

    Elena Celledoni;Elena Celledoni;Arieh Iserles

  • On the Global Error of Discretization Methods for Highly-Oscillatory Ordinary Differential Equations

    Arieh Iserles

  • Methods for the approximation of the matrix exponential in a Lie‐algebraic setting

    Elena Celledoni;Arieh Iserles

Frequent Co-Authors

Syvert P. Nørsett
Syvert P. Nørsett Norwegian University of Science and Technology
Anthony M. Bloch
Anthony M. Bloch University of Michigan–Ann Arbor
Endre Süli
Endre Süli University of Oxford
Ernst Hairer
Ernst Hairer University of Geneva
Ronald A. DeVore
Ronald A. DeVore Texas A&M University
Edward B. Saff
Edward B. Saff Vanderbilt University
Jerrold E. Marsden
Jerrold E. Marsden California Institute of Technology
Albrecht Böttcher
Albrecht Böttcher Chemnitz University of Technology
G. R. W. Quispel
G. R. W. Quispel La Trobe University
Xinyuan Wu
Xinyuan Wu Nanjing University

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