Results 191 to 200 of about 1,013 (219)

Infrasound propagation in multiple-scale random media using generalized polynomial chaos

The Journal of the Acoustical Society of America, 2019
Infrasound propagation in realistic environments is highly dependent on the information to specify the waveguide parameters. For real-world applications, there is considerable uncertainty regarding this information, and it is more realistic to consider the wind and temperature profiles as random functions, with associated probability distribution ...
Goupy, Alexandre, Millet, Christophe, Lucor, Didier   +2 more
openaire   +1 more source

Generalized polynomial chaos for the convection diffusion equation with uncertainty

International Journal of Heat and Mass Transfer, 2016
Abstract In this paper, several numerical algorithms are presented for solving the convection diffusion equation with random diffusivity and periodic boundary conditions. Based on the generalized polynomial chaos expansion and Galerkin projection, the stochastic convection diffusion equation is turned into a set of coupled deterministic equations ...
Ning Li, Jianping Zhao, Xinlong Feng, Dongwei Gui   +3 more
openaire   +1 more source

Generalized polynomial chaos expansions with weights.

2015
Polynomial chaos is used as an alternative to Monte Carlo methods for the propagation of uncertainty through dynamical systems. By truncating the infinite series of the polynomial chaos expansion to a finite order, the positivity of the approximate solution may be lost.
Obermaier, J., Stavropoulou, F.
openaire   +1 more source

Efficient estimation of polynomial chaos proxies using generalized sparse quadrature

SEG Technical Program Expanded Abstracts 2012, 2012
We investigate the use of sparse grid methods in computing polynomial chaos (PC) proxies for forward stochastic problems associated with numerically-expensive simulators. These are problems where some input parameters are random with known distributions, and stochastic properties of the simulator output are desired.
M.J. Tompkins, M. Prange
openaire   +1 more source

Optimal Trajectory Generation With Probabilistic System Uncertainty Using Polynomial Chaos

Journal of Dynamic Systems, Measurement, and Control, 2010
In this paper, we develop a framework for solving optimal trajectory generation problems with probabilistic uncertainty in system parameters. The framework is based on the generalized polynomial chaos theory. We consider both linear and nonlinear dynamics in this paper and demonstrate transformation of stochastic dynamics to equivalent deterministic ...
James Fisher, Raktim Bhattacharya
openaire   +1 more source

Generalized polynomial chaos expansion for photonic circuits optimization

2016
A sparse combined generalized polynomial chaos model is proposed to characterize the impact of fabrication process variations in photonic circuits and perform design optimization. Simulations on a realistic example confirm the effectiveness of the technique.
MELATI, DANIELE, Weng, Tsui Wei, Daniel, Luca, MELLONI, ANDREA IVANO   +3 more
openaire   +1 more source

Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity

Living Reviews in Relativity, 2023
, Gustavo Joaquin Turiaci
exaly  

Preparing random states and benchmarking with many-body quantum chaos

Nature, 2023
Jordan Cotler, Hsin-Yuan Huang, Anant Kale   +2 more
exaly  

Core-collapse supernova explosion theory

Nature, 2021
Adam Burrows, D Vartanyan
exaly  

Extracting stochastic stress intensity factors using generalized polynomial chaos

Engineering Fracture Mechanics, 2019
Netta Omer, Zohar Yosibash
openaire   +1 more source