Arieh Iserles

Numerical Analysis · 2000–2008

A researcher in the Science corpus: 9 papers; trusts 10 researchers and is trusted by 30 researchers here, as inferred from the citation graph.

Subfields

• Numerical Analysis — 10 citations into it; #183 of 3,586 by trust here, #493 by citations
• Computational Mechanics — 5 citations into it; #4,460 of 10,001 by trust here, #4,450 by citations
• Computational Theory and Mathematics — 5 citations into it; #2,568 of 12,182 by trust here, #6,463 by citations

Whom Arieh Iserles trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Sheehan Olver
2. Luc Bauwens
3. Daan Huybrechs
4. Philippe Chartier
5. Jerrold E. Marsden
6. K. Lorenz
7. Jean-François Richard
8. Stefan Vandewalle
9. Syvert P. Nørsett
10. Tudor S. Ratiu

Who trusts Arieh Iserles overall

1. Sergio Blanes
2. Daan Huybrechs
3. Sheehan Olver
4. K. Lorenz
5. Syvert P. Nørsett
6. Stefan Vandewalle
7. Natasha Flyer
8. Alexey Kuznetsov
9. Tobias Jahnke
10. Jimmy Smith

Papers from Arieh Iserles's perspective

Ordered by how strongly the researchers Arieh Iserles trusts endorse each paper. Same corpus, a different order for every researcher.

1. On the numerical quadrature of highly‐oscillating integrals I: Fourier transforms
2. Moment-free numerical integration of highly oscillatory functions
3. On the Global Error of Discretization Methods for Highly-Oscillatory Ordinary Differential Equations
4. Methods of Numerical Integration
5. Introduction to mechanics and symmetry
6. On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation (SIAM Journal on Numerical Analysis)
7. Adiabatic Integrators for Highly Oscillatory Second-Order Linear Differential Equations with Time-Varying Eigendecomposition
8. On the numerical quadrature of highly-oscillating integrals II: Irregular oscillators
9. The Newton Iteration on Lie Groups
10. Numerical Methods for Ordinary Differential Equations

Their papers

• On the Global Error of Discretization Methods for Highly-Oscillatory Ordinary Differential Equations (2002) — 107 citations
• Lie-group methods (2000) — 382 citations
• Preserving algebraic invariants with Runge-Kutta methods (2000) — 49 citations
• From high oscillation to rapid approximation I: Modified Fourier expansions (2008) — 81 citations
• A First Course in the Numerical Analysis of Differential Equations: Gaussian elimination for sparse linear equations (2008) — 206 citations
• B-SERIES METHODS CANNOT BE VOLUME-PRESERVING (2007) — 57 citations
• Highly Oscillatory Quadrature: The Story soFar (2006) — 80 citations
• On the numerical quadrature of highly-oscillating integrals II: Irregular oscillators (2005) — 102 citations
• On the numerical quadrature of highly‐oscillating integrals I: Fourier transforms (2004) — 181 citations