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08/04/2023
Coordinate-adaptive integration of PDEs on tensor manifolds
We introduce a new tensor integration method for time-dependent PDEs tha...
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07/25/2022
Tensor rank reduction via coordinate flows
Recently, there has been a growing interest in efficient numerical algor...
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12/10/2020
Rank-adaptive tensor methods for high-dimensional nonlinear PDEs
We present a new rank-adaptive tensor method to compute the numerical so...
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07/19/2020
Dynamic tensor approximation of high-dimensional nonlinear PDEs
We present a new method based on functional tensor decomposition and dyn...
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03/25/2020
Spectral methods for nonlinear functionals and functional differential equations
We develop a rigorous convergence analysis for finite-dimensional approx...
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07/12/2019