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Comparison Theorems for Single and Double Splittings of Matrices

One part describes detailed purposes convection-diffusion equations, singular perturbation difficulties, eigenvalue difficulties, and so on. It follows at once a prior book on hyperbolic structures of conservation legislation through an identical authors, and we will make common references to Godlewski and Raviart hereafter famous G. Show sample text content. Varga This booklet is a revised model of the 1st variation, considered as a vintage in its box.

Number Systems Popular Lectures in Mathematics "The most typical language of numbers, the decimal procedure, has no longer continuously been used universally. Numerical linear algebra with applications , 19 1 , p. Luo , Hongjun ; Horowitz , Claudio M. Direct comparison of optimized effective potential and Hartree-Fock self-consistent calculations for jellium slabs.

Oberwolfach reports , 8 2 , p. Benedikt , Udo ; Auer , Alexander A. Tensor decomposition in post-Hartree Fock methods. Two-electron integrals and MP2. The journal of chemical physics , 5 , Grasedyck , Lars and Wolfgang Hackbusch: An introduction to hierarchical H- rank and TT-rank of tensors with examples. Computational methods in applied mathematics , 11 3 , p. Tensorisation of vectors and their efficient convolution.

Multigrid solver for the reference interaction site model of molecular liquids theory. Journal of computational chemistry , 32 9 , p. Canonical tensor products as a generalization of Gaussian-type orbitals. Progress in physical chemistry 3: Efficient multi-scale computation of products of orbitals in electronic structure calculations. Computing and visualization in science , 13 8 , p. Concepts of data-sparse tensor-product approximation in many-particle modelling. World Scientific , On the efficient convolution with the Newton potential. Journal of numerical mathematics , 18 4 , p.

Quantum Monte Carlo study of the transcorrelated method for correlation factors. Braess , Dietrich and Wolfgang Hackbusch: 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.

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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. 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. 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.

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Journal of numerical mathematics , 13 2 , p. Efficient operator calculus based on data-sparse tensor-product decompositions.

Matrix Iterative Analysis. (Book, ) [obawesojab.tk]

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.

Journal of Applied Mathematics

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.


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  5. Publications Prof. Dr. Dr. h.c. Wolfgang Hackbusch.

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 ; This list is generated based on data provided by CrossRef.

Xu, Xuefeng and Zhang, Chen-Song Lin, Junyuan Cowen, Lenore J. Hescott, Benjamin and Hu, Xiaozhe Computing the diffusion state distance on graphs via algebraic multigrid and random projections. Numerical Linear Algebra with Applications, Vol. Ferrari, Federico Lazarov, Boyan S. Eigenvalue topology optimization via efficient multilevel solution of the frequency response. Check if you have access via personal or institutional login. Log in Register Recommend to librarian.

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In Multiscale and Multiresolution Methods: Theory and Applications Barth , T.