Direct tensor-product solution of one-dimensional elliptic equations with parameter-dependent coefficients (Q1997007)

scientific article; zbMATH DE number 7316172

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English	Direct tensor-product solution of one-dimensional elliptic equations with parameter-dependent coefficients	scientific article; zbMATH DE number 7316172

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instance of

scholarly article

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title

Direct tensor-product solution of one-dimensional elliptic equations with parameter-dependent coefficients (English)

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Mathematics and Computers in Simulation

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publication date

1 March 2021

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zbMATH Keywords

elliptic equations

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parametric problems

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tensor formats

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Sherman-Morrison correction

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preconditioning

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describes a project that uses

ALEA

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.matcom.2017.10.009

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cites work

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Low-Rank Solution of Unsteady Diffusion Equations with Stochastic Coefficients

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A reciprocal preconditioner for structured matrices arising from elliptic problems with jumping coefficients

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Q4869639

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Quasi-Monte Carlo methods for elliptic PDEs with random coefficients and applications

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A literature survey of low-rank tensor approximation techniques

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Q5543004

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Low-Rank Explicit QTT Representation of the Laplace Operator and Its Inverse

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Multilevel Toeplitz matrices generated by tensor-structured vectors and convolution with logarithmic complexity

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Fast and accurate 3D tensor calculation of the Fock operator in a general basis

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Grid-based lattice summation of electrostatic potentials by assembled rank-structured tensor approximation

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Tensor-Structured Factorized Calculation of Two-Electron Integrals in a General Basis

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Tensor-structured preconditioners and approximate inverse of elliptic operators in $\mathbb R^{d}$

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$O(d \log N)$-quantics approximation of $N$-$d$ tensors in high-dimensional numerical modeling

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Tensor numerical methods for multidimensional PDES: theoretical analysis and initial applications

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Numerical Solution of the Hartree–Fock Equation in Multilevel Tensor-Structured Format

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Quantics-TT collocation approximation of parameter-dependent and stochastic elliptic PDEs

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Low-Rank Tensor Krylov Subspace Methods for Parametrized Linear Systems

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A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data

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Approximation of $2^d\times2^d$ Matrices Using Tensor Decomposition

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DMRG approach to fast linear algebra in the TT-format

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Tensor-Train Decomposition

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Constructive representation of functions in low-rank tensor formats

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Solution of Linear Systems and Matrix Inversion in the TT-Format

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QTT-rank-one vectors with QTT-rank-one and full-rank Fourier images

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Adjustment of an Inverse Matrix Corresponding to a Change in One Element of a Given Matrix

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Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing

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Further analysis of multilevel Monte Carlo methods for elliptic PDEs with random coefficients

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Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients

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Identifiers

zbMATH Open document ID

1484.65326

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Mathematics Subject Classification ID

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10.1016/J.MATCOM.2017.10.009

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Sitelinks

Mathematics(1 entry)

mardi Publication:1997007