Matrix Iterative Analysis (Springer Series in Computational Mathematics)

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Table of contents

On the efficient computation of high-dimensional integrals and the approximation by exponential sums. Multiscale, nonlinear and adaptive approximation: The tensor product approximation to single-electron systems. Black box low tensor-rank approximation using fiber-crosses. Constructive approximation , 30 3 , p. Convolution of hp-functions on locally refined grids. IMA journal of numerical analysis , 29 4 , p. Sparse convolution quadrature for time domain boundary integral formulations of the wave equation. IMA journal of numerical analysis , 29 1 , p. A new scheme for the tensor representation.

The journal of Fourier analysis and applications , 15 5 , p. Quantum Monte Carlo study of Jastrow perturbation theory. The journal of chemical physics , 10 , Preconditioning by inverting the Laplacian: Banjai , Lehel and Wolfgang Hackbusch: Hierarchical matrix techniques for low- and high-frequency Helmholtz problems. IMA journal of numerical analysis , 28 1 , p. Oberwolfach reports , 5 2 , p. Density fitting scheme for pseudo-potentials. On the robustness of elliptic resolvents computed by means of the technique of hierarchical matrices.

Applied numerical mathematics , 58 12 , p. Fedorov , Maxim V. A multigrid solver for the integral equations of the theory of liquids. The journal of chemical physics , Vol.

Matrix Iterative Analysis.

Graham , Ivan G. Optimal panel-clustering in the presence of anisotropic mesh refinement. SIAM journal on numerical analysis , 46 1 , p. Performance of H-LU preconditioning for sparse matrices. Computational methods in applied mathematics , 8 4 , p. Greff , Isabelle and Wolfgang Hackbusch: Numerical method for elliptic multiscale problems. Journal of numerical mathematics , 16 2 , p. Fast projected convolution of piecewise linear functions on non-equidistant grids.

Efficient convolution with the Newton potential in d dimensions. Numerische Mathematik , 4 , p. Approximate iterations for structured matrices. H-matrix methods for quadratic integral operators appearing in population balances. Computers and chemical engineering , 32 8 , p.

Matrix Iterative Analysis - Richard S. Varga - Google Книги

Khoromskij , Boris N. Tensor-product approximation to multidimensional integral operators and Green's functions. SIAM journal on matrix analysis and applications , 30 3 , p. Fully self-consistent Hartree-Fock calculation of jellium slabs: Minimax approximation for the decomposition of energy denominators in Laplace-transformed Moller-Plesset perturbation theories. The journal of chemical physics , 4 , Bebendorf , Mario and Wolfgang Hackbusch: Stabilized rounded addition of hierarchical matrices.

Numerical linear algebra with applications , 14 5 , p. Tensor product approximation with optimal rank in quantum chemistry. The journal of chemical physics , 8 , Best N-term approximation in electronic structure calculations. A multigrid method to solve large scale Sylvester equations. SIAM journal on matrix analysis and applications , 29 3 , p. Approximation of coalescence integrals in population balance models with local mass conservation. Fast and exact projected convolution for non-equidistant grids.

Computing , 80 2 , p. Hackbusch , Wolfgang and Boris N. Tensor-product approximation to operators and functions in high dimensions. Adaptive Galerkin boundary element methods with panel clustering. Hackbusch , Wolfgang and Wendy Kress: A projection method for the computation of inner eigenvalues using high degree rational operators. Computing , 81 4 , p. Sparse convolution quadrature for time domain boundary integral formulations of the wave equation by cutoff and panel-clustering. Lecture notes in applied and computational mechanics ; H-matrix methods for linear and quasi-linear integral operators appearing in population balances.

Computers and chemical engineering , 31 7 , p. Perturbative calculation of Jastrow factors: Wolters , Carsten H. Numerical mathematics of the subtraction method for the modeling of a current dipole in EEG source reconstruction using finite element head models. SIAM journal on scientific computing , 30 1 , p.

Wavelet-based multiscale methods for electronic structure calculations. One-electron reduced density matrix. On the efficient evaluation of coalescence integrals in population balance models. Computing , 78 2 , p. Computing , 76 , p. Science Press , Guo wai shu xue ming zhu xi lie ; Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators. HKT representation of certain operators. Separable approximation of multi-variate functions. Coarsening of boundary-element spaces.

Computing , 77 3 , p. Oberwolfach reports , 2 2 , p. IMA journal of numerical analysis , 25 4 , p. Hierarchical quadrature for singular integrals. Computing , 74 2 , p. Diagrammatic multiresolution analysis for electron correlations. Wavelet approach to quasi two-dimensional extended many-particle systems. Journal of computational physics , 2 , p. Gavrilyuk , Ivan P. Data-sparse approximation to a class of operator-valued functions.

Mathematics of computation , 74 , p. Hierarchical tensor-product approximation to the inverse and related operators for high-dimensional elliptic problems. Finite elements on degenerate meshes: IMA journal of numerical analysis , 25 2 , p. Computing , 74 3 , v-vi. Approximation of functions by exponential sums based on the Newton-type optimisation.

Direct Schur complement method by hierarchical matrix techniques. Domain decomposition methods in science and engineering: Direct Schur complement method by domain decomposition based on H-matrix approximation. Hierarchical Kronecker tensor-product approximations. Journal of numerical mathematics , 13 2 , p. Efficient operator calculus based on data-sparse tensor-product decompositions. Approximation of boundary element operators by adaptive H2-matrices. Foundations of computational mathematics: Cambridge University Press , London Mathematical Society lecture note series ; Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method.

Mathematics of computation , 73 , p. Data-sparse approximation to the operator-valued functions of elliptic operator. Adaptive geometrically balanced clustering of H-matrices. Computing , 73 1 , p. Encyclopedia of computational mechanics. Hierarchical Kronecker tensor-product approximation to a class of nonlocal operators in high dimensions.

Hierarchical matrices based on a weak admissibility criterion. Computing , 73 3 , p. Hackbusch , Wolfgang ; Sauter , Stefan A. Fast numerical methods for non-local operators: Oberwolfach reports , 1 3 , p. Inverse problems , 20 4 , p. Low-rank approximation of FE matrix inverses for operators with jumping coefficients.

Proceedings in applied mathematics and mechanics , 2 1 , p. Existence of H-matrix approximants to the inverse FE-matrix of elliptic operators with L-infinity-coefficients. Numerische Mathematik , 95 1 , p. Introduction to hierarchical matrices with applications. Engineering analysis with boundary elements , 27 5 , p. A short overview of H2-matrices. Springer , Lecture notes in computational science and engineering ; Construction and complexity of hierarchical matrices.

Construction and arithmetics of H-matrices. Computing , 70 4 , p. Solution of large scale algebraic matrix Riccati equations by use of hierarchical matrices. Computing , 70 2 , p. Direct domain decomposition using the hierarchical matrix technique. National Autnomous University of Mexico , Multi-grid methods and applications: Springer series in computational mathematics ; 4.

Computation of electromagnetic fields for a humidity sensor. Wavelet approximation of correlated wave functions.

Categories

The journal of chemical physics , 22 , p. Data-sparse approximation to a hierarchy of operator-valued functions. H-matrix approximation for the operator exponential with applications. Numerische Mathematik , 92 1 , p. Griebel , Michael and Wolfgang Hackbusch eds. Direct integration of the Newton potential over cubes. Computing , 68 3 , p. H2-matrix approximation of integral operators by interpolation.

Applied numerical mathematics , 43 , p. Data-sparse approximation by adaptive H2-matrices. Computing , 69 1 , p. An introduction to hierarchical matrices. Mathematica bohemica , 2 , p. Blended kernel approximation in the H-matrix techniques. Numerical linear algebra with applications , 9 4 , p. Hyperbolic wavelets and adaptive approximation schemes. The journal of chemical physics , 8 , p.

H-matrix approximation for elliptic solution operators in cylinder domains. East west journal of numerical mathematics , 9 1 , p. Adaptive refinement and clustering of H-matrices. Computing , 67 1 , p.

Max Planck Institute for Mathematics in the Sciences

Towards H-matrix approximation of linear complexity. Problems and methods in mathematical physics: CD2D3D - a package to solve convection dominated problems employing ordering techniques. Numerical flow simulation II: Notes on numerical fluid mechanics ; Hackbusch , Wolfgang and Ulrich Langer eds.


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Hackbusch , Wolfgang and Stefan A. Hybrid Galerkin boundary elements on degenerate meshes. Mathematical aspects of boundary element methods: Hybrid Galerkin boundary elements: Numerische Mathematik , 86 1 , p. Discrete boundary element methods on general meshes in 3D. H-matrix approximation on graded meshes. A sparse H-matrix arithmetic. Application to multi-dimensional problems. Computing , 64 1 , p. A sparse H-matrix arithmetic: Journal of computational and applied mathematics , , p. Lectures on applied mathematics: A multigrid method for nonconforming FE-discretisations with application to non-matching grids.

Scientific Computing - Prof. Dr. Dr. h.c. W. Hackbusch

Computing , 63 1 , p. Fast integration techniques in 3D boundary elements. Domain decomposition methods in sciences and engineering: A sparse matrix arithmetic based on H-matrices. Computing , 62 2 , p. Hackbusch , Wolfgang and Gabriel Wittum eds. Numerical treatment of multi-scale problems: Vieweg und Teubner , Additive and multiplicative multi-grid: Computing , 60 4 , p. From classical numerical mathematics to scientific computing. Hackbusch , Wolfgang and Thomas Probst: A new finite element approach for problems containing small geometric details.

Archivum mathematicum , 34 1 , p. Hackbusch , Wolfgang and Jens Uwe Wappler: Remarks on a posteriori error estimation for inaccurate finite element solutions. Computing , 60 2 , p.

AMS classification

Lecture notes in computational science and engineering ; 3. On the nonlinear domain decomposition method. The Hybrid Galerkin boundary element method. Leeds University Press , On the feedback vertex set problem for a planar graph. Computing , 58 2 , p. On the efficient realization of sparse matrix techniques for integral equations with focus on panel clustering, cubature and software design aspects. Numerical linear algebra with applications , 4 2 , p.

Composite finite elements for problems containing small geometric details: Implementation and numerical results. Computing and visualization in science , 1 1 , p. Composite finite elements for the approximation of PDEs on domains with complicated micro-structures. Numerische Mathematik , 75 4 , p. Electron-scattering states at solid surfaces calculated with realistic potentials. Burmeister , Jens and Wolfgang Hackbusch: On a time and space parallel multi-grid method including remarks on filtering techniques.

Flow simulation with high-performance computers II: Partielle Differentialgleichungen und wissenschaftliches Rechnen. Theorie und Numerik elliptischer Differentialgleichungen: Adaptive composite finite elements for the solution of PDEs containing nonuniformely distributed micro-scales.

Boundary elements, implementation and analysis of advanced algorithms: A note on Reusken's Lemma. Computing , 55 2 , p. International series of numerical mathematics ; Fast solvers for flow problems: Numerical treatment of coupled systems: Implementational details of the boundary element method. Teubner-Texte zur Mathematik ; The frequency decomposition multi-grid method. On the combination of iterations. Computational methods in water resources X: Please re-enter recipient e-mail address es. You may send this item to up to five recipients.

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Your rating has been recorded. Write a review Rate this item: Preview this item Preview this item. Richard S Varga ; Ebooks Corporation. Springer Series in Computational Mathematics, English View all editions and formats Summary: While the original version was more linear algebra oriented, this edition attempts to emphasize tools from other areas, such as approximation theory and conformal mapping theory, to access newer results of interest.

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