Spectral methods for nonlinear functionals and functional differential equations. - Daniele Venturi 002; Alec Dektor (CoRR, 2020)

Dynamically orthogonal tensor methods for high-dimensional nonlinear PDEs. - Alec Dektor; Daniele Venturi 002 (J. Comput. Phys., 2020)

Dynamic tensor approximation of high-dimensional nonlinear PDEs. - Alec Dektor; Daniele Venturi 002 (J. Comput. Phys., 2021)

Rank-Adaptive Tensor Methods for High-Dimensional Nonlinear PDEs. - Alec Dektor; Abram Rodgers; Daniele Venturi 002 (J. Sci. Comput., 2021)

Adaptive Integration of Nonlinear Evolution Equations on Tensor Manifolds. - Abram Rodgers; Alec Dektor; Daniele Venturi 002 (J. Sci. Comput., 2022)

Coordinate-adaptive integration of PDEs on tensor manifolds. - Alec Dektor; Daniele Venturi 002 (CoRR, 2023)

Tensor rank reduction via coordinate flows. - Alec Dektor; Daniele Venturi 002 (J. Comput. Phys., 2023)

A collocation method for nonlinear tensor differential equations on low-rank manifolds. - Alec Dektor (CoRR, 2024)

Interpolatory dynamical low-rank approximation for the 3+3d Boltzmann-BGK equation. - Alec Dektor; Lukas Einkemmer (CoRR, 2024)

Inexact subspace projection methods for low-rank tensor eigenvalue problems. - Alec Dektor; Peter DelMastro; Erika Ye; Roel Van Beeumen; Chao Yang (CoRR, 2025)