most citedThe Tensor-Train Stochastic Finite Volume Method for Uncertainty Quantification

1 citations · 3 across the 5 of their papers we have counts for

collaborators

6 papers

math.NA2025

Model Order Reduction Techniques for the Stochastic Finite Volume Method

Ray Qu, Jesse Chan, Svetlana Tokareva

The stochastic finite volume method (SFV method) is a high-order accurate method for uncertainty quantification (UQ) in hyperbolic conservation laws. However, the computational cos…

math.OC2024

Setpoint Tracking and Disturbance Attenuation for Gas Pipeline Flow Subject to Uncertainties using Backstepping

Bhathiya Rathnayake, Anatoly Zlotnik, Svetlana Tokareva +1

In this paper, we consider the problem of regulating the outlet pressure of gas flowing through a pipeline subject to uncertain and variable outlet flow. Gas flow through a pipe is…

math.NA20241 cited

The Tensor-Train Stochastic Finite Volume Method for Uncertainty Quantification

Steven Walton, Svetlana Tokareva, Gianmarco Manzini

The stochastic finite volume method offers an efficient one-pass approach for assessing uncertainty in hyperbolic conservation laws. Still, it struggles with the curse of dimension…

math.OC20241 cited

Stochastic Finite Volume Method for Uncertainty Management in Gas Pipeline Network Flows

Saif R. Kazi, Sidhant Misra, Svetlana Tokareva +2

Natural gas consumption by users of pipeline networks is subject to increasing uncertainty that originates from the intermittent nature of electric power loads serviced by gas-fire…

math.NA2024

Stochastic Active Discretizations for Accelerating Temporal Uncertainty Management of Gas Pipeline Loads

Jake J. Harmon, Svetlana Tokareva, Anatoly Zlotnik

We propose a predictor-corrector adaptive method for the simulation of hyperbolic partial differential equations (PDEs) on networks under general uncertainty in parameters, initial…

math.NA20241 cited

Adaptive Uncertainty Quantification for Stochastic Hyperbolic Conservation Laws

Jake J. Harmon, Svetlana Tokareva, Anatoly Zlotnik +1

We propose a predictor-corrector adaptive method for the study of hyperbolic partial differential equations (PDEs) under uncertainty. Constructed around the framework of stochastic…