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Article
Solution of Large Scale Algebraic Matrix Riccati Equations by Use of Hierarchical Matrices
In previous papers, a class of hierarchical matrices (ℋ-matrices) is introduced which are data-sparse and allow an approximate matrix arithmetic of almost optimal complexity. Here, we investigate a new approac...
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Article
Existence and Computation of Low Kronecker-Rank Approximations for Large Linear Systems of Tensor Product Structure
In this paper we construct an approximation to the solution x of a linear system of equations Ax=b of tensor product structure as it typically arises for finite element and finite difference discretisations of pa...
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Article
Adaptive Geometrically Balanced Clustering of H-Matrices
In [8], a class of (data-sparse) hierarchical ( -) matrices is introduced that can be used to efficiently assemble and store stiffness matrices arising in boundary element appli...
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Article
Adaptive Recompression of
-Matrices for BEM
The efficient treatment of dense matrices arising, e.g., from the finite element discretisation of integral operators requires special compression techniques. In this article, we use a hierarchical low-rank ap...
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Article
A structured low-rank wavelet solver for the Ornstein-Zernike integral equation
In this article, we present a new structured wavelet algorithm to solve the Ornstein-Zernike integral equation for simple liquids. This algorithm is based on the discrete wavelet transform of radial distributi...