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20192024
most citedStability analysis of hierarchical tensor methods for time-dependent PDEs

13 citations · 15 across the 4 of their papers we have counts for

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Showing 2020Show all

2 papers · 1 filter

math.NA2020

Rank-adaptive tensor methods for high-dimensional nonlinear PDEs

Alec Dektor, Abram Rodgers, Daniele Venturi

We present a new rank-adaptive tensor method to compute the numerical solution of high-dimensional nonlinear PDEs. The method combines functional tensor train (FTT) series expansio…

math.NA2020

Adaptive integration of nonlinear evolution equations on tensor manifolds

Abram Rodgers, Alec Dektor, Daniele Venturi

We develop new adaptive algorithms for temporal integration of nonlinear evolution equations on tensor manifolds. These algorithms, which we call step-truncation methods, are based…