Time Integration of Tree Tensor Networks

DOI10.1137/20M1321838zbMath1461.65203arXiv2002.11392MaRDI QIDQ5151923

Hanna Walach, Christian Lubich, Gianluca Ceruti

Publication date: 23 February 2021

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

Full work available at URL: https://arxiv.org/abs/2002.11392

zbMATH Keywords

time integratordynamical low-rank approximationtensor differential equationtree tensor network

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)

Related Items (5)

Rank-Adaptive Time Integration of Tree Tensor Networks ⋮ A dynamical low-rank approach to solve the chemical master equation for biological reaction networks ⋮ Dynamical low-rank integrators for second-order matrix differential equations ⋮ Rank-adaptive dynamical low-rank integrators for first-order and second-order matrix differential equations ⋮ An unconventional robust integrator for dynamical low-rank approximation

Uses Software

• TensorToolbox

Cites Work

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• Time Integration of Tensor Trains
• Dynamical Low‐Rank Approximation

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