Quantify uncertainty by estimating the probability density function of the output of interest using MLMC based Bayes method
type: Item
instance of: scholarly article
title: Quantify uncertainty by estimating the probability density function of the output of interest using MLMC based Bayes method
author: Meixin Xiong
author: Liuhong Chen
author: Ju Ming
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2022-10-10T00:00:00Z
Mathematics Subject Classification ID: 62F15
Mathematics Subject Classification ID: 62G07
Mathematics Subject Classification ID: 65C05
Mathematics Subject Classification ID: 35R60
zbMATH DE Number: 7599034
zbMATH Keywords: uncertainty quantification
zbMATH Keywords: Bayes estimator
zbMATH Keywords: multilevel Monte Carlo
zbMATH Keywords: probability distribution function
zbMATH Keywords: variance reduction
describes a project that uses: Wesseling
MaRDI profile type: Publication
full work available at URL: dcdsb.2022095
OpenAlex ID: W4285108519
cites work: Multilevel Monte Carlo Analysis for Optimal Control of Elliptic PDEs with Random Coefficients
cites work: A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data
cites work: Multi-level Monte Carlo finite element method for elliptic PDEs with stochastic coefficients
cites work: Approximation of probability density functions by the multilevel Monte Carlo maximum entropy method
cites work: Introduction to Bayesian Scientific Computing
cites work: Finite Element Error Analysis of Elliptic PDEs with Random Coefficients and Its Application to Multilevel Monte Carlo Methods
cites work: Accelerating pseudo-marginal MCMC using Gaussian processes
cites work: A Multilevel Monte Carlo Method for Computing Failure Probabilities
cites work: Estimating posterior quantity of interest expectations in a multilevel scalable framework
cites work: Q4869639
cites work: Q3997987
cites work: Multilevel Monte Carlo Path Simulation
cites work: Multilevel Monte Carlo Approximation of Distribution Functions and Densities
cites work: Q4433869
cites work: Multilevel Monte Carlo Estimation of the Expected Value of Sample Information
cites work: Random field finite elements
cites work: Spectral Methods for Uncertainty Quantification
cites work: Q4003879
cites work: A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
cites work: Q5106576
cites work: Uncertainty quantification. Theory, implementation, and applications
cites work: Inverse problems: a Bayesian perspective
cites work: Estimation of distributions via multilevel Monte Carlo with stratified sampling
cites work: Q4004051
cites work: High-Order Collocation Methods for Differential Equations with Random Inputs
cites work: The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
cites work: Bayesian approach to inverse time-harmonic acoustic obstacle scattering with phaseless data generated by point source waves
cites work: Bayesian approach to inverse time-harmonic acoustic scattering with phaseless far-field data
cites work: Accelerating MCMC via Kriging-based adaptive independent proposals and delayed rejection
DOI: 10.3934/DCDSB.2022095
description: scientific article; zbMATH DE number 7599034