High-frequency Integral Equations

High-Frequency Integral Equations is a mathematical framework within asymptotic analysis that specializes integral equation methods to approximate solutions of wave scattering and diffraction problems in the high-frequency limit, where the wavelength is small compared to the characteristic dimensions of the scatterer.

100

Publications

5.6K

Citations

182

Authors

136

Institutions

Publications per year

2017–2026

Parents

High-frequency Asymptotic Methods

Publications

100

Operator expansion for high-energy scattering

Ian Balitsky · Nuclear Physics B · 1996 · 1.8K citations · Full text

Natural Sciences, Physics, Nuclear Physics +11

Efficient quadrature of highly oscillatory integrals using derivatives

Arieh Iserles, Syvert P. Nørsett · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 2005 · 366 citations

Natural Sciences, Mathematics, Computational Mechanics +15

On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation

Daan Huybrechs, Stefan Vandewalle · SIAM Journal on Numerical Analysis · 2006 · 290 citations · Full text

Computing, Computer Science, Algorithms +16

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

Arieh Iserles · IMA Journal of Numerical Analysis · 2004 · 177 citations

Natural Sciences, Computer Science, Scientific Computing +13

A Sparse Discretization for Integral Equation Formulations of High Frequency Scattering Problems

Daan Huybrechs, Stefan Vandewalle · SIAM Journal on Scientific Computing · 2007 · 122 citations · Full text

Computing, Computational Engineering, Computational Electromagnetics +16

1–5 of 100

Authors

182

SX
Shuhuang Xiang
Central South University, China
6 publications · 176 citations
6
h-index
DH
Daan Huybrechs
KU Leuven, Belgium
5 publications · 505 citations
5
h-index
AI
Arieh Iserles
University of Cambridge, United Kingdom
4 publications · 630 citations
4
h-index
SV
Stefan Vandewalle
KU Leuven, Belgium
4 publications · 487 citations
4
h-index
WC
Weng Cho Chew
University of Illinois Urbana-Champaign, United States
3 publications · 140 citations
3
h-index

1–5 of 182

Institutions

136

1–8 of 136

Venues

Applied Mathematics and Computation
7 publications · 143 citations
7
h-index
IEEE Transactions on Antennas and Propagation
5 publications · 145 citations
5
h-index
Journal of Computational and Applied Mathematics
5 publications · 92 citations
5
h-index
Journal of Computational Physics
4 publications · 104 citations
4
h-index
Mathematics of Computation
MCOM · 4 publications · 258 citations
4
h-index

1–5