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  1. No Access

    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...

    M. V. Fedorov, H. -J. Flad, G. N. Chuev, L. Grasedyck, B. N. Khoromskij in Computing (2007)

  2. No Access

    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...

    L. Grasedyck in Computing (2005)

  3. No Access

    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...

    L. Grasedyck, W. Hackbusch, S. Le Borne in Computing (2004)

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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...

    L. Grasedyck in Computing (2004)

  5. No Access

    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...

    L. Grasedyck, W. Hackbusch, B. N. Khoromskij in Computing (2003)