Time Integration of Rank-Constrained Tucker Tensors

DOI10.1137/17M1146889zbMath1407.37113arXiv1709.02594WikidataQ114074314 ScholiaQ114074314MaRDI QIDQ4641635

Bart Vandereycken, Christian Lubich, Hanna Walach

Publication date: 18 May 2018

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.02594

zbMATH Keywords

dynamical low-rank approximationTucker tensor formattensor differential equationmatrix projector splitting integrator

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Error bounds for numerical methods for ordinary differential equations (65L70) Multilinear algebra, tensor calculus (15A69) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Vector spaces, linear dependence, rank, lineability (15A03)

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Cites Work

• Tensor Decompositions and Applications
• Low-rank retractions: a survey and new results
• Projection methods for dynamical low-rank approximation of high-dimensional problems
• A projector-splitting integrator for dynamical low-rank approximation
• Discretized Dynamical Low-Rank Approximation in the Presence of Small Singular Values
• Dynamical Tensor Approximation
• Time Integration in the Multiconfiguration Time-Dependent Hartree Method of Molecular Quantum Dynamics
• A Multilinear Singular Value Decomposition
• Time Integration of Tensor Trains

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