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

DOI10.1016/j.jcp.2017.10.027zbMath1380.82042OpenAlexW2767811029MaRDI QIDQ1700730

Gaël Poëtte, Adrien Bernede

Publication date: 22 February 2018

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.10.027

zbMATH Keywords

transportordinary differential equationsplittingnumerical schemecouplingMonte-Carlo methodsburn-upBateman equations

Mathematics Subject Classification ID

Related Items (4)

Efficient uncertainty propagation for photonics: combining implicit semi-analog Monte Carlo (ISMC) and Monte Carlo generalised polynomial chaos (MC-gPC) ⋮ A gPC-intrusive Monte-Carlo scheme for the resolution of the uncertain linear Boltzmann equation ⋮ Multigroup-like MC resolution of generalised polynomial chaos reduced models of the uncertain linear Boltzmann equation (+discussion on hybrid intrusive/non-intrusive uncertainty propagation) ⋮ Canceling Teleportation Error in Legacy IMC Code for Photonics (Without Tilts, With Simple Minimal Modifications)

Uses Software

• Cast3M

Cites Work

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• A family of embedded Runge-Kutta formulae
• Monte-Carlo methods for the transport and diffusion equations
• Explicit integration with GPU acceleration for large kinetic networks
• Asymptotic analysis of transport processes
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later

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