Hierarchical matrix arithmetic with accumulated updates (Q6163778)

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scientific article; zbMATH DE number 7704882

Language	Label	Description	Also known as
English	Hierarchical matrix arithmetic with accumulated updates	scientific article; zbMATH DE number 7704882

Statements

scholarly article

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Hierarchical matrix arithmetic with accumulated updates (English)

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Computing and Visualization in Science

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publication date

30 June 2023

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full work available at URL

https://arxiv.org/abs/1703.09085

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MaRDI profile type

MaRDI publication profile

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Low rank solution of data‐sparse Sylvester equations

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Approximation of boundary element matrices

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Existence of \(\mathcal H\)-matrix approximants to the inverse FE-matrix of elliptic operators with \(L^\infty\)-coefficients

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\(\mathcal H^2\)-matrix arithmetics in linear complexity

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Approximation of solution operators of elliptic partial differential equations by \({\mathcal H}\)- and \({\mathcal H}^2\)-matrices

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Efficient numerical methods for non-local operators. \(\mathcal H^2\)-matrix compression, algorithms and analysis.

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Approximation of integral operators by Green quadrature and nested cross approximation

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Low-rank approximation of integral operators by interpolation

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Hybrid cross approximation of integral operators

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\(\mathcal {H}\)-matrix approximability of the inverses of FEM matrices

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\(\mathcal H\)-matrix approximation for the operator exponential with applications

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Data-sparse approximation to the operator-valued functions of elliptic operator

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Existence of a low rank or ℋ︁‐matrix approximant to the solution of a Sylvester equation

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Construction and arithmetics of \(\mathcal H\)-matrices

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Solution of large scale algebraic matrix Riccati equations by use of hierarchical matrices

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Parallel black box $$\mathcal {H}$$ -LU preconditioning for elliptic boundary value problems

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Domain decomposition based \({\mathcal H}\)-LU preconditioning

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H-matrix Preconditioners in Convection-Dominated Problems

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A fast algorithm for particle simulations

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On the numerical solution of two-point boundary value problems

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A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices

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Hierarchical Matrices: Algorithms and Analysis

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On the fast matrix multiplication in the boundary element method by panel clustering

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The eigenvalue problem for the 2D Laplacian in \({\mathcal H}\)-matrix arithmetic and application to the heat and wave equation

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Rapid solution of integral equations of classical potential theory

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Variable order panel clustering

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Identifiers

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10.1007/s00791-019-00311-3

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6163778

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