Daniele Venturi

CoRR, 2024

2023

Implicit Integration of Nonlinear Evolution Equations on Tensor Manifolds.

[BibT_eX]

[DOI]

J. Sci. Comput., November, 2023

Tensor rank reduction via coordinate flows.

[BibT_eX]

[DOI]

J. Comput. Phys., October, 2023

Coordinate-adaptive integration of PDEs on tensor manifolds.

[BibT_eX]

[DOI]

CoRR, 2023

2022

Adaptive Integration of Nonlinear Evolution Equations on Tensor Manifolds.

[BibT_eX]

[DOI]

J. Sci. Comput., 2022

The Mori-Zwanzig formulation of deep learning.

[BibT_eX]

[DOI]

Xiantao Li

CoRR, 2022

Implicit step-truncation integration of nonlinear PDEs on low-rank tensor manifolds.

[BibT_eX]

[DOI]

CoRR, 2022

2021

Rank-Adaptive Tensor Methods for High-Dimensional Nonlinear PDEs.

[BibT_eX]

[DOI]

J. Sci. Comput., 2021

Dynamic tensor approximation of high-dimensional nonlinear PDEs.

[BibT_eX]

[DOI]

J. Comput. Phys., 2021

2020

Stability analysis of hierarchical tensor methods for time-dependent PDEs.

[BibT_eX]

[DOI]

J. Comput. Phys., 2020

A new scalable algorithm for computational optimal control under uncertainty.

[BibT_eX]

[DOI]

Panos Lambrianides

Qi Gong

J. Comput. Phys., 2020

Dynamically orthogonal tensor methods for high-dimensional nonlinear PDEs.

[BibT_eX]

[DOI]

J. Comput. Phys., 2020

Tensor methods for the Boltzmann-BGK equation.

[BibT_eX]

[DOI]

Arnout M. P. Boelens

Daniel M. Tartakovsky

J. Comput. Phys., 2020

Step-truncation integrators for evolution equations on low-rank tensor manifolds.

[BibT_eX]

[DOI]

CoRR, 2020

Improving neural network predictions of material properties with limited data using transfer learning.

[BibT_eX]

[DOI]

Schuyler Krawczuk

CoRR, 2020

Spectral methods for nonlinear functionals and functional differential equations.

[BibT_eX]

[DOI]

CoRR, 2020

2019

Generalized Langevin equations for systems with local interactions.

[BibT_eX]

[DOI]

Yuanran Zhu

CoRR, 2019

2018

Faber approximation of the Mori-Zwanzig equation.

[BibT_eX]

[DOI]

Yuanran Zhu

J. Comput. Phys., 2018

Data-driven closures for stochastic dynamical systems.

[BibT_eX]

[DOI]

Catherine Brennan

J. Comput. Phys., 2018

Parallel tensor methods for high-dimensional linear PDEs.

[BibT_eX]

[DOI]

Arnout M. P. Boelens

Daniel M. Tartakovsky

J. Comput. Phys., 2018

2017

Multi-fidelity Gaussian process regression for prediction of random fields.

[BibT_eX]

[DOI]

Lucia Parussini

Paris Perdikaris

J. Comput. Phys., 2017

2016

Multifidelity Information Fusion Algorithms for High-Dimensional Systems and Massive Data sets.

[BibT_eX]

[DOI]

Paris Perdikaris

SIAM J. Sci. Comput., 2016

Numerical methods for high-dimensional probability density function equations.

[BibT_eX]

[DOI]

Heyrim Cho

J. Comput. Phys., 2016

2015

Algorithms for Propagating Uncertainty Across Heterogeneous Domains.

[BibT_eX]

[DOI]

Heyrim Cho

Xiu Yang

SIAM J. Sci. Comput., 2015

2013

Adaptive Discontinuous Galerkin Method for Response-Excitation PDF Equations.

[BibT_eX]

[DOI]

Heyrim Cho

SIAM J. Sci. Comput., 2013

Exact PDF equations and closure approximations for advective-reactive transport.

[BibT_eX]

[DOI]

Daniel M. Tartakovsky

Alexandre M. Tartakovsky

J. Comput. Phys., 2013

2012

New evolution equations for the joint response-excitation probability density function of stochastic solutions to first-order nonlinear PDEs.

[BibT_eX]

[DOI]