16 citations · 47 across the 20 of their papers we have counts for
4 papers · 1 filter
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…
Method of Distributions for Systems with Stochastic Forcing
Rik J. L. Rutjens, Gustaaf B. Jacobs, Daniel M. Tartakovsky
The method of distributions is developed for systems that are governed by hyperbolic conservation laws with stochastic forcing. The method yields a deterministic equation for the c…
Lagrangian Dynamic Mode Decomposition for Construction of Reduced-Order Models of Advection-Dominated Phenomena
Hannah Lu, Daniel M. Tartakovsky
Proper orthogonal decomposition (POD) and dynamic mode decomposition (DMD) are two complementary singular-value decomposition (SVD) techniques that are widely used to construct red…
Estimation of distributions via multilevel Monte Carlo with stratified sampling
Søren Taverniers, Daniel M. Tartakovsky
We design and implement a novel algorithm for computing a multilevel Monte Carlo (MLMC) estimator of the cumulative distribution function of a quantity of interest in problems with…