An unconventional robust integrator for dynamical low-rank approximation

DOI10.1007/s10543-021-00873-0zbMath1481.65068arXiv2010.02022OpenAlexW3161187945MaRDI QIDQ2114101

Gianluca Ceruti, Christian Lubich

Publication date: 14 March 2022

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.02022

zbMATH Keywords

dynamical low-rank approximationstructure-preserving integratormatrix and tensor differential equationsTucker tensor format

Mathematics Subject Classification ID

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) Numerical methods for low-rank matrix approximation; matrix compression (65F55)

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Uses Software

• Tensorlab
• MCTDH

Cites Work

• Tensor Decompositions and Applications
• Time integration of symmetric and anti-symmetric low-rank matrices and Tucker tensors
• A projector-splitting integrator for dynamical low-rank approximation
• Discretized Dynamical Low-Rank Approximation in the Presence of Small Singular Values
• Dynamical Tensor Approximation
• Solving Ordinary Differential Equations I
• Time Integration in the Multiconfiguration Time-Dependent Hartree Method of Molecular Quantum Dynamics
• A Multilinear Singular Value Decomposition
• Time Integration of Rank-Constrained Tucker Tensors
• Existence of dynamical low-rank approximations to parabolic problems
• Time Integration of Tree Tensor Networks
• Time Integration of Tensor Trains
• Dynamical Low‐Rank Approximation