Variational variance reduction for particle transport eigenvalue calculations using Monte Carlo adjoint simulation.

DOI10.1016/j.jcp.2003.07.007zbMath1037.65002OpenAlexW1967499036MaRDI QIDQ1418659

Jeffery D. Densmore, Edward W. Larsen

Publication date: 14 January 2004

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2003.07.007

zbMATH Keywords

convergencenumerical exampleMonte Carlo methodVariance reductionVariational methodsAdjoint simulationCriticality

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Eigenvalue problems for integral equations (45C05)

Related Items (6)

An Improved “Walk on Equations” Monte Carlo Algorithm for Linear Algebraic Systems ⋮ Girsanov's transformation based variance reduced Monte Carlo simulation schemes for reliability estimation in nonlinear stochastic dynamics ⋮ Variational variance reduction for particle transport eigenvalue calculations using Monte Carlo adjoint simulation. ⋮ A hybrid (Monte Carlo/deterministic) approach for multi-dimensional radiation transport ⋮ A new \textit{walk on equations} Monte Carlo method for solving systems of linear algebraic equations ⋮ Robustness and applicability of Markov chain Monte Carlo algorithms for eigenvalue problems

Cites Work

• On the motion of charged particles in a varying magnetic field
• Variational variance reduction for particle transport eigenvalue calculations using Monte Carlo adjoint simulation.
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