1 citations · 1 across the 6 of their papers we have counts for
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Density Propagation with Characteristics-based Deep Learning
Tenavi Nakamura-Zimmerer, Daniele Venturi, Qi Gong +1
Uncertainty propagation in nonlinear dynamic systems remains an outstanding problem in scientific computing and control. Numerous approaches have been developed, but are limited in…
Tensor methods for the Boltzmann-BGK equation
Arnout Boelens, Daniele Venturi, Daniel Tartakovsky
We present a tensor-decomposition method to solve the Boltzmann transport equation (BTE) in the Bhatnagar-Gross-Krook approximation. The method represents the six-dimensional BTE a…
A new scalable algorithm for computational optimal control under uncertainty
Panos Lambrianides, Qi Gong, Daniele Venturi
We address the design and synthesis of optimal control strategies for high-dimensional stochastic dynamical systems. Such systems may be deterministic nonlinear systems evolving fr…
Stability analysis of hierarchical tensor methods for time-dependent PDEs
Abram Rodgers, Daniele Venturi
In this paper we address the question of whether it is possible to integrate time-dependent high-dimensional PDEs with hierarchical tensor methods and explicit time stepping scheme…
Dynamically orthogonal tensor methods for high-dimensional nonlinear PDEs
Alec Dektor, Daniele Venturi
We develop new dynamically orthogonal tensor methods to approximate multivariate functions and the solution of high-dimensional time-dependent nonlinear partial differential equati…
Generalized Langevin equations for systems with local interactions
Yuanran Zhu, Daniele Venturi
We present a new method to approximate the Mori-Zwanzig (MZ) memory integral in generalized Langevin equations (GLEs) describing the evolution of smooth observables in high-dimensi…