The Discrete Stochastic Galerkin Method for Hyperbolic Equations with Non-smooth and Random Coefficients
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-017-0426-7
Abstract: We develop a general polynomial chaos (gPC) based stochastic Galerkin (SG) for hyperbolic equations with random and singular coefficients. Due to the singular nature of the solution, the standard gPC-SG methods may suffer from a… read more here.
Keywords: method hyperbolic; hyperbolic equations; discrete stochastic; stochastic galerkin ... See more keywords
Backward error and condition number of a generalized Sylvester equation, with application to the stochastic Galerkin method
Sign Up to like & getrecommendations! Published in 2020 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2020.02.018
Abstract: The governing equation of the stochastic Galerkin method can be formulated as a generalized Sylvester equation. Therefore, developing solvers for it is attracting a lot of attention from the uncertainty quantification community. In this regard… read more here.
Keywords: backward error; generalized sylvester; stochastic galerkin; equation ... See more keywords
Computational framework for particle and spin simulations based on the stochastic Galerkin method.
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.96.063301
Abstract: An implementation of the polynomial chaos expansion is introduced as a fast solver of the equations of beam and spin motion of charged particles in electromagnetic fields. We show that, based on the stochastic Galerkin… read more here.
Keywords: computational framework; based stochastic; method; stochastic galerkin ... See more keywords
High-Dimensional Uncertainty Quantification Using Stochastic Galerkin and Tensor Decomposition
Sign Up to like & getrecommendations! Published in 2024 at "IEEE Transactions on Components, Packaging and Manufacturing Technology"
DOI: 10.1109/tcpmt.2024.3418342
Abstract: This article investigates the application of tensor decomposition and the stochastic Galerkin method for the uncertainty quantification of complex systems characterized by high parameter dimensionality. By employing these methods, we construct surrogate models aimed at… read more here.
Keywords: uncertainty quantification; tensor decomposition; stochastic galerkin; uncertainty ... See more keywords
A Hybrid Perturbative-Stochastic Galerkin Method for the Variability Analysis of Nonuniform Transmission Lines
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Electromagnetic Compatibility"
DOI: 10.1109/temc.2019.2922407
Abstract: In this paper, a hybridization of the classical stochastic Galerkin method (SGM) with two perturbative solution techniques is proposed to speed up the statistical analysis of nonuniform multiconductor transmission line (MTL) structures with parameters affected… read more here.
Keywords: stochastic galerkin; analysis nonuniform; method; galerkin method ... See more keywords