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Four Decades of Implicit Monte Carlo (Q5068031)

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scientific article; zbMATH DE number 7503210

Language	Label	Description	Also known as
English	Four Decades of Implicit Monte Carlo	scientific article; zbMATH DE number 7503210

Statements

scholarly article

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Four Decades of Implicit Monte Carlo (English)

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Allan B. Wollaber

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Journal of Computational and Theoretical Transport

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publication date

5 April 2022

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full work available at URL

https://www.osti.gov/biblio/1255843

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zbMATH Keywords

implicit Monte Carlo

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thermal radiative transfer

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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Asymptotic analysis of a computational method for time- and frequency-dependent radiative transfer

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Symbolic implicit Monte Carlo

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Piecewise linear discretization of symbolic implicit Monte Carlo radiation transport in the difference formulation

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An efficient, robust, domain-decomposition algorithm for particle Monte Carlo

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Comparison of four parallel algorithms for domain decomposed implicit Monte Carlo

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Existence and Uniqueness Theorems for the Neutron Transport Equation

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Verification (Mostly) for High Energy Density Radiation Transport: Five Case Studies

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Obtaining identical results with double precision global accuracy on different numbers of processors in parallel particle Monte Carlo simulations

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

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An extension of implicit Monte Carlo diffusion: multigroup and the difference formulation

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

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Asymptotic analysis of the spatial discretization of radiation absorption and re-emission in implicit Monte Carlo

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Spatial Moments of Continuous Transport Problems Computed on Grids

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Spatial Moments of Continuous Transport Problems Computed on Grids: Time-Dependent Problems

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

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A hybrid transport-diffusion Monte Carlo method for frequency-dependent radiative-transfer simulations

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Stability analysis and time-step limits for a Monte Carlo Compton-scattering method

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Stability analysis of implicit time discretizations for the Compton-scattering Fokker-Planck equation

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Methods for coupling radiation, ion, and electron energies in grey implicit Monte Carlo

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A random walk procedure for improving the computational efficiency of the implicit Monte Carlo method for nonlinear radiation transport

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

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Including the effects of temperature-dependent opacities in the implicit Monte Carlo algorithm

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Implicit Monte Carlo diffusion -- an acceleration method for Monte Carlo time-dependent radiative transfer simulations

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Iterative Implicit Monte Carlo

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A random walk method for solving radiative transfer equations

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Monte Carlo Methods for Particle Transport

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

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Numerical analysis of time integration errors for nonequilibrium radiation diffusion

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Properties of the implicitly time-differenced equations of thermal radiation transport

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Analysis of a Monte Carlo method for nonlinear radiative transfer

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The iterative thermal emission method: a more implicit modification of IMC

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A modified implicit Monte Carlo method for time-dependent radiative transfer with adaptive material coupling

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

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A linear-discontinuous spatial differencing scheme for \(S_ n\) radiative transfer calculations

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Solution of the Nonlinear Radiative Transfer Equations by a Fully Implicit Matrix Monte Carlo Method Coupled with the Rosseland Diffusion Equation via Domain Decomposition

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Monte Carlo simulation methods in moment-based scale-bridging algorithms for thermal radiative-transfer problems

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An Efficient and Time Accurate, Moment-Based Scale-Bridging Algorithm for Thermal Radiative Transfer Problems

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A Consistent, Moment-Based, Multiscale Solution Approach for Thermal Radiative Transfer Problems

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Moment-Based Acceleration of Monte Carlo Solution for Multifrequency Thermal Radiative Transfer Problems

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The transport theory of beams

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Some general implicit processes for the numerical solution of differential equations

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

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Residual Monte Carlo high-order solver for moment-based accelerated thermal radiative transfer equations

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A linear stability analysis for nonlinear, grey, thermal radiative transfer problems

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Implicit Monte Carlo with a Linear Discontinuous Finite Element Material Solution and Piecewise Non-Constant Opacity

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Identifiers

10.1080/23324309.2016.1138132

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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:5068031

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