A kinetic theory for nonanalog Monte Carlo particle transport algorithms: Exponential transform with angular biasing in planar-geometry anisotropically scattering media

DOI10.1006/JCPH.1998.6039zbMath0909.65145OpenAlexW2045920409MaRDI QIDQ1268323

Taro Ueki, Edward W. Larsen

Publication date: 12 April 1999

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

Full work available at URL: https://doi.org/10.1006/jcph.1998.6039

zbMATH Keywords

kinetic theoryexponential transformanisotropic scatteringBoltzmann Monte Carlo equationgeneralized Dwivedi transform schememonoenergetic deep penetration transport problemsnonanalog Monte Carlo particle

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70)

Related Items (5)

About efficiency of exponential transformation method for solving stochastic problems of gamma-ray transport theory ⋮ A fast algorithm for radiative transport in isotropic media ⋮ Accelerating convergence in stochastic particle dispersion simulation codes ⋮ A kinetic theory for nonanalog Monte Carlo particle transport algorithms: Exponential transform with angular biasing in planar-geometry anisotropically scattering media ⋮ Randomized exponential transformation algorithm for solving the stochastic problems of gamma-ray transport theory

Cites Work

• A kinetic theory for nonanalog Monte Carlo particle transport algorithms: Exponential transform with angular biasing in planar-geometry anisotropically scattering media
• A synopsis of Monte Carlo perturbation algorithms
• The Asymptotic Efficiency of Simulation Estimators
• Existence and Uniqueness Theorems for the Neutron Transport Equation
• An Analytic Approach to Variance Reduction
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