Stability analysis of a simple discretization method for a class of strongly singular integral equations
DOI10.1007/s00020-023-02750-7arXiv2302.13159MaRDI QIDQ6181307
Monique Dauge, Khadijeh Nedaiasl, Martin Costabel
Publication date: 22 January 2024
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2302.13159
numerical stabilityvolume integral equationstrongly singular kerneldelta-delta discretization, discrete dipole approximation
Numerical methods for integral equations (65R20) Numerical range, numerical radius (47A12) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Stability theory for integral equations (45M10) Applications of operator theory to differential and integral equations (47N20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Theoretical approximation of solutions to integral equations (45L05) Toeplitz, Cauchy, and related matrices (15B05) Maxwell equations (35Q61)
Cites Work
- Unnamed Item
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- Unnamed Item
- The essential spectrum of the volume integral operator in electromagnetic scattering by a homogeneous body
- Spectral representations for finite Hilbert transformations
- An integral equation approach and the interior transmission problem for Maxwell's equations
- Volume integral equations for electromagnetic scattering in two dimensions
- Zur Theorie der endlichen Hilbert-Transformation
- The Summation of Series of Hyperbolic Functions
- On the Eigenvalues of the Volume Integral Operator of Electromagnetic Scattering
- Mathematical and Computational Methods in Photonics and Phononics
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)
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