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Efficient uncertainty propagation for photonics: combining implicit semi-analog Monte Carlo (ISMC) and Monte Carlo generalised polynomial chaos (MC-gPC) - MaRDI portal

Efficient uncertainty propagation for photonics: combining implicit semi-analog Monte Carlo (ISMC) and Monte Carlo generalised polynomial chaos (MC-gPC) (Q2134693)

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English	Efficient uncertainty propagation for photonics: combining implicit semi-analog Monte Carlo (ISMC) and Monte Carlo generalised polynomial chaos (MC-gPC)	scientific article

Statements

scholarly article

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Efficient uncertainty propagation for photonics: combining implicit semi-analog Monte Carlo (ISMC) and Monte Carlo generalised polynomial chaos (MC-gPC) (English)

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Journal of Computational Physics

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publication date

3 May 2022

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zbMATH Keywords

transport

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Monte-Carlo

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photonics

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ISMC

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uncertainties

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reduced models

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.jcp.2021.110807

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Maximum-principle-satisfying second-order Intrusive Polynomial Moment scheme

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Filtered stochastic Galerkin methods for hyperbolic equations

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Intrusive acceleration strategies for uncertainty quantification for hyperbolic systems of conservation laws

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A hyperbolicity-preserving discontinuous stochastic Galerkin scheme for uncertain hyperbolic systems of equations

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Weighted essentially non-oscillatory stochastic Galerkin approximation for hyperbolic conservation laws

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Robust Uncertainty Propagation in Systems of Conservation Laws with the Entropy Closure Method

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A new implicit Monte-Carlo scheme for photonics (without teleportation error and without tilts)

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A gPC-intrusive Monte-Carlo scheme for the resolution of the uncertain linear Boltzmann equation

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Unified gas-kinetic wave-particle methods. III: Multiscale photon transport

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Application of Accretive Operators Theory to the Radiative Transfer Equations

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Karhunen-Loève approximation of random fields by generalized fast multipole methods

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Efficient model reduction in nonlinear dynamics using the Karhunen-Loève expansion and dual-weighted-residual methods

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Uncertainty management in simulation-optimization of complex systems. Algorithms and applications

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Monte-Carlo methods for the transport and diffusion equations

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Four Decades of Implicit Monte Carlo

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Mitigating Teleportation Error in Frequency-Dependent Hybrid Implicit Monte Carlo Diffusion Methods

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Reducing the Spatial Discretization Error of Thermal Emission in Implicit Monte Carlo Simulations

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Asymptotic diffusion limit of the symbolic Monte-Carlo method for the transport equation.

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Comparison of implicit and symbolic implicit Monte Carlo line transport with frequency weight vector extension

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Spectral convergence of the generalized polynomial chaos reduced model obtained from the uncertain linear Boltzmann equation

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Monte Carlo gPC methods for diffusive kinetic flocking models with uncertainties

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Monte Carlo stochastic Galerkin methods for the Boltzmann equation with uncertainties: space-homogeneous case

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Propagation of probabilistic uncertainty in complex physical systems using a stochastic finite element approach

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Spectral polynomial chaos solutions of the stochastic advection equation

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A stochastic projection method for fluid flow. I: Basic formulation

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A stochastic projection method for fluid flow. II: Random process

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Solution of stochastic partial differential equations using Galerkin finite element techniques

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Uncertainty propagation using Wiener-Haar expansions

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Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures

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Time-dependent generalized polynomial chaos

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Uncertainty Propagation; Intrusive Kinetic Formulations of Scalar Conservation Laws

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Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces

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Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

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An implicit Monte Carlo scheme for calculating time and frequency dependent nonlinear radiation transport

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Canceling Teleportation Error in Legacy IMC Code for Photonics (Without Tilts, With Simple Minimal Modifications)

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Asymptotic diffusion limit of cell temperature discretisation schemes for thermal radiation transport

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An unsplit Monte-Carlo solver for the resolution of the linear Boltzmann equation coupled to (stiff) Bateman equations

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Asymptotic equilibrium diffusion analysis of time-dependent Monte Carlo methods for grey radiative transfer

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Beyond Wiener-Askey expansions: handling arbitrary PDFs

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On the convergence of generalized polynomial chaos expansions

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Making best use of model evaluations to compute sensitivity indices

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Identifiers

10.1016/j.jcp.2021.110807

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2134693

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