An approximation of the \(M_2\) closure: application to radiotherapy dose simulation
type: Item
instance of: scholarly article
title: An approximation of the \(M_2\) closure: application to radiotherapy dose simulation
zbMATH Open document ID: 1386.82064
published in: Journal of Scientific Computing
publication date: 2018-03-13T00:00:00Z
Mathematics Subject Classification ID: 82C70
Mathematics Subject Classification ID: 82D99
Mathematics Subject Classification ID: 94A17
Mathematics Subject Classification ID: 92C50
Mathematics Subject Classification ID: 82C31
Mathematics Subject Classification ID: 92-08
zbMATH DE Number: 6849350
zbMATH Keywords: moment models
zbMATH Keywords: entropy-based closure
zbMATH Keywords: radiotherapy dose computation
author: Teddy Pichard
author: Graham Alldredge
author: Stéphane Brull
author: Bruno Dubroca
author: Martin Frank
describes a project that uses: PENELOPE
describes a project that uses: minpack
describes a project that uses: DCUHRE
describes a project that uses: QUADPACK
describes a project that uses: Maple
MaRDI profile type: Publication
full work available at URL: s10915-016-0292-8
OpenAlex ID: W2526869102
cites work: Adaptive change of basis in entropy-based moment closures for linear kinetic equations
cites work: High-Order Entropy-Based Closures for Linear Transport in Slab Geometry II: A Computational Study of the Optimization Problem
cites work: Approximating the \(M_2\) method by the extended quadrature method of moments for radiative transfer in slab geometry
cites work: Thermodynamic derivation of the hydrodynamical model for charge transport in semiconductors
cites work: Algorithm 698: DCUHRE
cites work: An HLLC scheme to solve the \(M_{1}\) model of radiative transfer in two space dimensions
cites work: Numerical Methods for Balance Laws with Space Dependent Flux: Application to Radiotherapy Dose Calculation
cites work: Duality Relationships for Entropy-Like Minimization Problems
cites work: Partially finite convex programming. I: Quasi relative interiors and duality theory
cites work: Partially finite convex programming. II: Explicit lattice models
cites work: Q5796557
cites work: Q3994331
cites work: A duality proof of Tchakaloff's theorem
cites work: Etude théorique et numérique d'une hiérarchie de modèles aux moments pour le transfert radiatif
cites work: An Iterative Method for Transport Equations in Radiotherapy
cites work: Systems of Conservation Equations with a Convex Extension
cites work: On the kinetic theory of rarefied gases
cites work: Asymptotic-Preserving Scheme for the M1-Maxwell System in the Quasi-Neutral Regime
cites work: Limits of theM1andM2angular moments models for kinetic plasma physics studies
cites work: On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
cites work: Positive $P_N$ Closures
cites work: High-order entropy-based closures for linear transport in slab geometry
cites work: Convex Duality and Entropy-Based Moment Closures: Characterizing Degenerate Densities
cites work: MAXIMUM ENTROPY FOR REDUCED MOMENT PROBLEMS
cites work: An Entropic Scheme for an Angular Moment Model for the Classical Fokker-Planck-Landau Equation of Electrons
cites work: Exact Maximum Entropy Closure of the Hydrodynamical Model for Si Semiconductors: The 8-Moment Case
cites work: Moment closure hierarchies for kinetic theories.
cites work: Q3725507
cites work: General moment system for plasma physics based on minimum entropy principle
cites work: Robust and accurate filtered spherical harmonics expansions for radiative transfer
cites work: Affordable robust moment closures for CFD based on the maximum-entropy hierarchy
cites work: High-order Galerkin convergence and boundary characteristics of the 3-D Navier-Stokes equations on intervals of regularity
cites work: Generalized Fokker-Planck theory for electron and photon transport in biological tissues: application to radiotherapy
cites work: TheM2Model for Dose Simulation in Radiation Therapy
cites work: Relaxation Schemes for the M1 Model with Space-Dependent Flux: Application to Radiotherapy Dose Calculation
cites work: Q4746719
cites work: THE FOKKER-PLANCK OPERATOR AS AN ASYMPTOTIC LIMIT
cites work: Kershaw closures for linear transport equations in slab geometry. I: Model derivation
cites work: Entropic approximation in kinetic theory
cites work: Radiation transport modeling using extended quadrature method of moments
DOI: 10.1007/S10915-016-0292-8
description: scientific article; zbMATH DE number 6849350