\(\mathcal H^2\)-matrix approximation of integral operators by interpolation (Q1862011)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: \(\mathcal H^2\)-matrix approximation of integral operators by interpolation |
scientific article; zbMATH DE number 1879055
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\mathcal H^2\)-matrix approximation of integral operators by interpolation |
scientific article; zbMATH DE number 1879055 |
Statements
\(\mathcal H^2\)-matrix approximation of integral operators by interpolation (English)
0 references
10 March 2003
0 references
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.
0 references
integral equation
0 references
kernel approximation
0 references
tensor product interpolation operator
0 references
asymptotic smoothness
0 references
collocation method
0 references
0 references
0 references