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A Sparse Matrix Arithmetic Based on $\Cal H$ -Matrices. Part I: Introduction to ${\Cal H}$ -Matrices

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Matrix-free iterative solution strategies for large dense linear systems
inferredcites →https://doi.org/10.1007/978-3-0348-9215-5openalex-snapshot
Integral Equations: Theory and Numerical Treatment
inferredcites →https://doi.org/10.1007/bf01396324openalex-snapshot
On the fast matrix multiplication in the boundary element method by panel clustering
inferredcites →https://doi.org/10.1007/bf02575706openalex-snapshot
Mosaic-Skeleton approximations
inferredcites →https://doi.org/10.1007/pl00021408openalex-snapshot
A Sparse ℋ-Matrix Arithmetic.
inferredcites →https://doi.org/10.21136/am.1993.104558openalex-snapshot
On the efficient use of the Galerkin-method to solve Fredholm integral equations

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A Compression Method for the Helmholtz Equation
inferred← citeshttps://doi.org/10.1007/978-3-642-21943-6_9openalex-snapshot
Numerical Homogenization via Approximation of the Solution Operator
inferred← citeshttps://doi.org/10.1007/978-3-642-22061-6_5openalex-snapshot
Fast Algorithms for High Frequency Wave Propagation
inferred← citeshttps://doi.org/10.1007/978-3-642-23588-7_1openalex-snapshot
Preliminaries
inferred← citeshttps://doi.org/10.1007/978-3-642-23588-7_2openalex-snapshot
One-Level FETI/BETI Methods
inferred← citeshttps://doi.org/10.1007/978-3-642-23588-7_3openalex-snapshot
Multiscale Problems
inferred← citeshttps://doi.org/10.1007/978-3-642-23588-7_4openalex-snapshot
Unbounded Domains
inferred← citeshttps://doi.org/10.1007/978-3-642-23588-7_5openalex-snapshot
Dual-Primal Methods
inferred← citeshttps://doi.org/10.1007/978-3-642-27343-8_18openalex-snapshot
$${\mathcal{H}}^{2}$$ -Matrix Compression
inferred← citeshttps://doi.org/10.1007/978-3-642-55753-8_5openalex-snapshot
Numerical Simulation of Exhaust Systems in Car Industry — Efficient Calculation of Radiation Heat Transfer
inferred← citeshttps://doi.org/10.1007/978-3-642-59709-1_2openalex-snapshot
On H 2-Matrices
inferred← citeshttps://doi.org/10.1007/978-3-662-04015-7_20openalex-snapshot
Matrix Compression for the Radiation Heat Transfer in Exhaust Pipes
inferred← citeshttps://doi.org/10.1007/978-3-662-57957-2_5openalex-snapshot
Fast Boundary Element Methods for Composite Materials
inferred← citeshttps://doi.org/10.1007/978-981-10-6283-4_8openalex-snapshot
On Applications of Fast Domain Partitioning Method to Earthquake Simulations with Spatiotemporal Boundary Integral Equation Method
inferred← citeshttps://doi.org/10.1007/bf03549403openalex-snapshot
Fast NFFT Based Summation of Radial Functions
inferred← citeshttps://doi.org/10.1007/pl00005410openalex-snapshot
Approximation of boundary element matrices
inferred← citeshttps://doi.org/10.1007/pl00021408openalex-snapshot
A Sparse ℋ-Matrix Arithmetic.
inferred← citeshttps://doi.org/10.1007/s00024-026-04020-0openalex-snapshot
Frequency-Domain Wavefield Reconstruction Inversion Using Preconditioned Block Conjugate Gradient
inferred← citeshttps://doi.org/10.1007/s00161-003-0127-3openalex-snapshot
Modelling and numerical simulation of martensitic transformation in shape memory alloys
inferred← citeshttps://doi.org/10.1007/s00211-002-0445-6openalex-snapshot
Existence of ?-matrix approximants to the inverse FE-matrix of elliptic operators with L?-coefficients
inferred← citeshttps://doi.org/10.1007/s00211-004-0538-5openalex-snapshot
Fast convolution with radial kernels at nonequispaced knots
inferred← citeshttps://doi.org/10.1007/s00211-004-0564-3openalex-snapshot
Approximation of Integral Operators by Variable-Order Interpolation
inferred← citeshttps://doi.org/10.1007/s00211-005-0618-1openalex-snapshot
Hybrid cross approximation of integral operators
inferred← citeshttps://doi.org/10.1007/s00211-006-0047-9openalex-snapshot
Adaptive Galerkin boundary element methods with panel clustering
inferred← citeshttps://doi.org/10.1007/s00211-008-0143-0openalex-snapshot
Approximate iterations for structured matrices
inferred← citeshttps://doi.org/10.1007/s00211-008-0162-xopenalex-snapshot
Multilevel frames for sparse tensor product spaces
inferred← citeshttps://doi.org/10.1007/s00211-009-0218-6openalex-snapshot
Domain decomposition based $${\mathcal H}$$ -LU preconditioning
inferred← citeshttps://doi.org/10.1007/s00211-009-0226-6openalex-snapshot
Wave atoms and time upscaling of wave equations
inferred← citeshttps://doi.org/10.1007/s00211-009-0278-7openalex-snapshot
Approximation of solution operators of elliptic partial differential equations by $${\mathcal{H}}$$ - and $${\mathcal{H}^2}$$ -matrices
inferred← citeshttps://doi.org/10.1007/s00211-012-0449-9openalex-snapshot
Constructing nested bases approximations from the entries of non-local operators
inferred← citeshttps://doi.org/10.1007/s00211-012-0454-zopenalex-snapshot
Numerical quadratic energy minimization bound to convex constraints in thin-film micromagnetics
inferred← citeshttps://doi.org/10.1007/s00211-013-0582-0openalex-snapshot
Fast structured LU factorization for nonsymmetric matrices
inferred← citeshttps://doi.org/10.1007/s00211-014-0656-7openalex-snapshot
Wideband nested cross approximation for Helmholtz problems
inferred← citeshttps://doi.org/10.1007/s00211-015-0706-9openalex-snapshot
$$\mathcal {H}$$ H -matrix approximability of the inverses of FEM matrices
inferred← citeshttps://doi.org/10.1007/s00211-015-0757-yopenalex-snapshot
Approximation of integral operators by Green quadrature and nested cross approximation
inferred← citeshttps://doi.org/10.1007/s00211-016-0824-zopenalex-snapshot
Discontinuous Petrov–Galerkin boundary elements
inferred← citeshttps://doi.org/10.1007/s00211-016-0825-yopenalex-snapshot
Covariance regularity and $$\mathcal {H}$$ H -matrix approximation for rough random fields
inferred← citeshttps://doi.org/10.1007/s00211-016-0837-7openalex-snapshot
Randomized estimation of spectral densities of large matrices made accurate
inferred← citeshttps://doi.org/10.1007/s00211-018-0963-5openalex-snapshot
A fast sparse grid based space–time boundary element method for the nonstationary heat equation
inferred← citeshttps://doi.org/10.1007/s00211-021-01255-yopenalex-snapshot
Kernel-independent adaptive construction of $$\mathcal {H}^2$$-matrix approximations
inferred← citeshttps://doi.org/10.1007/s00211-021-01261-0openalex-snapshot
Caccioppoli-type estimates and $$\mathcal {H}$$-matrix approximations to inverses for FEM-BEM couplings
inferred← citeshttps://doi.org/10.1007/s002110100360openalex-snapshot
$\mathcal{H}$ -Matrix approximation for the operator exponential with applications
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