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06/23/2023
Multilevel Monte Carlo methods for the Grad-Shafranov free boundary problem
The equilibrium configuration of a plasma in an axially symmetric reacto...
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03/10/2023
An Assessment of the Supremizer and Aggregation Methods of Stabilization for Reduced-Order Models
We explore the features of two methods of stabilization, aggregation and...
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05/25/2021
Surrogate Approximation of the Grad-Shafranov Free Boundary Problem via Stochastic Collocation on Sparse Grids
In magnetic confinement fusion devices, the equilibrium configuration of...
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02/28/2021
On Surrogate Learning for Linear Stability Assessment of Navier-Stokes Equations with Stochastic Viscosity
We study linear stability of solutions to the Navier–Stokes equations wi...
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02/08/2021
Novel Deep neural networks for solving Bayesian statistical inverse
We consider the simulation of Bayesian statistical inverse problems gove...
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06/15/2020
Alternating Energy Minimization Methods for Multi-term Matrix Equations
We develop computational methods for approximating the solution of a lin...
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08/30/2019
Reduced-order modeling for nonlinear Bayesian statistical inverse problems
Bayesian statistical inverse problems are often solved with Markov chain...
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06/16/2019