28 citations · 136 across the 22 of their papers we have counts for
4 papers · 2 filters
Approximation of integral operators by Green quadrature and nested cross approximation
Steffen Börm, Sven Christophersen
We present a fast algorithm that constructs a data-sparse approximation of matrices arising in the context of integral equation methods for elliptic partial differential equations.…
Computing the eigenvalues of symmetric H2-matrices by slicing the spectrum
Peter Benner, Steffen Börm, Thomas Mach +1
The computation of eigenvalues of large-scale matrices arising from finite element discretizations has gained significant interest in the last decade. Here we present a new algorit…
An exact solver for simple -matrix systems
Steffen Börm, Jessica Gördes
Hierarchical matrices (usually abbreviated -matrices) are frequently used to construct preconditioners for systems of linear equations. Since it is possible to comput…
Efficient arithmetic operations for rank-structured matrices based on hierarchical low-rank updates
Steffen Börm, Knut Reimer
Many matrices appearing in numerical methods for partial differential equations and integral equations are rank-structured, i.e., they contain submatrices that can be approximated…