Cross interpolation for solving high-dimensional dynamical systems on low-rank Tucker and tensor train manifolds

DOI10.1016/j.cma.2024.117385MaRDI QIDQ6643547

Hessam Babaee, Behzad Ghahremani

Publication date: 26 November 2024

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

cross approximationdynamical low-rank approximationTucker tensor decompositiontensor train decompositiontime-dependent bases

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Iterative numerical methods for linear systems (65F10) Initial value problems for nonlinear higher-order PDEs (35G25) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Multilinear algebra, tensor calculus (15A69)

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Related Items (2)

Collocation methods for nonlinear differential equations on low-rank manifolds ⋮ Time-dependent low-rank input-output operator for forced linearized dynamics with unsteady base flows

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