\(\mathcal H^2\)-matrix approximation of integral operators by interpolation
type: Item
instance of: scholarly article
title: \(\mathcal H^2\)-matrix approximation of integral operators by interpolation
zbMATH Open document ID: 1019.65103
DOI: 10.1016/S0168-9274(02)00121-6
published in: Applied Numerical Mathematics
publication date: 2003-03-10T00:00:00Z
review text: The authors study the solutions of the integral equation \[ \lambda u(x)+\int_\Gamma k(x,y)u(y)dy=f(x) \] for all \(x\in\Gamma\) for a right-hand side \(f\), a parameter \(\lambda\in\mathbb{R}\) and the kernel function \(k:\mathbb{R}^d\times\mathbb{R}^d\rightarrow\mathbb{R}\) that has asymptotic smoothness.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45B05
Mathematics Subject Classification ID: 45P05
zbMATH DE Number: 1879055
zbMATH Keywords: integral equation
zbMATH Keywords: kernel approximation
zbMATH Keywords: tensor product interpolation operator
zbMATH Keywords: asymptotic smoothness
zbMATH Keywords: collocation method
author: Wolfgang Hackbusch
author: Steffen Börm
reviewed by: Chuangan Hu
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1879055