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Four Decades of Implicit Monte Carlo

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Elad Steinberg & Shay I. Heizler. (2023) Frequency-Dependent Discrete Implicit Monte Carlo Scheme for the Radiative Transfer Equation. Nuclear Science and Engineering 197:9, pages 2343-2355.
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Adam Q. Lam, Todd S. Palmer, Thomas A. Brunner & Richard M. Vega. (2023) A Monte Carlo Thermal Radiative Transfer Solver with Nonlinear Elimination. Journal of Computational and Theoretical Transport 52:3, pages 221-245.
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Ilham Variansyah & Ryan G. McClarren. (2022) Analysis of Population Control Techniques for Time-Dependent and Eigenvalue Monte Carlo Neutron Transport Calculations. Nuclear Science and Engineering 196:11, pages 1280-1305.
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Chih-Yang Wu & Dao-Chi Hong. (2022) An Improved Model for Light Transport in the Color Conversion Element of Light-Emitting Diodes. Journal of Computational and Theoretical Transport 51:1-3, pages 101-111.
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Ryan G. McClarren. (2021) Two-Group Radiative Transfer Benchmarks for the Non-Equilibrium Diffusion Model. Journal of Computational and Theoretical Transport 50:6-7, pages 583-597.
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Yi Shi, Xiaole Han, Wenjun Sun & Peng Song. (2021) A Continuous Source Tilting Scheme for Radiative Transfer Equations in Implicit Monte Carlo. Journal of Computational and Theoretical Transport 50:1, pages 1-26.
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Kai Yan. (2020) A Modified Symbolic Implicit Monte Carlo Method for Time-Dependent Thermal Radiation Transport. Journal of Computational and Theoretical Transport 49:6, pages 282-302.
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Gaël Poëtte, Xavier Valentin & Adrien Bernede. (2020) Canceling Teleportation Error in Legacy IMC Code for Photonics (Without Tilts, With Simple Minimal Modifications). Journal of Computational and Theoretical Transport 49:4, pages 162-194.
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Yi Shi, Shuanggui Li, Heng Yong & Peng Song. (2019) An Essentially Implicit Monte Carlo Method for Radiative Transfer Equations. Journal of Computational and Theoretical Transport 48:5, pages 180-199.
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Yi Shi, Heng Yong, Chuanlei Zhai, Jin Qi & Peng Song. (2018) A Functional Expansion Tally Method for Gray Radiative Transfer Equations in Implicit Monte Carlo. Journal of Computational and Theoretical Transport 47:7, pages 581-598.
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A. B. Wollaber, H. Park, R. B. Lowrie, R. M. Rauenzahn & M. A. Cleveland. (2017) Multigroup Radiation Hydrodynamics with a High-Order–Low-Order Method. Nuclear Science and Engineering 185:1, pages 117-129.
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B. C. Yee, A. B. Wollaber, T. S. Haut & H. Park. (2017) A Stable 1D Multigroup High-Order Low-Order Method. Journal of Computational and Theoretical Transport 46:1, pages 46-76.
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Articles from other publishers (22)

Yi Shi & Hui Xie. (2024) A predictor–corrector Monte Carlo method for thermal radiative transfer equations. Annals of Nuclear Energy 197, pages 110252.
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Yi Shi. (2023) A maximum principle preserving implicit Monte Carlo method for frequency-dependent radiative transfer equations. Journal of Computational Physics 495, pages 112552.
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Chang Liu, Weiming Li, Yanli Wang, Peng Song & Kun Xu. (2023) An implicit unified gas-kinetic wave–particle method for radiative transport process. Physics of Fluids 35:11.
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Laetitia Laguzet & Gabriel Turinici. (2022) A cell-based population control of Monte Carlo particles for the global variance reduction for transport equations. Journal of Computational Physics 467, pages 111373.
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Gaël Poëtte. (2022) Efficient uncertainty propagation for photonics: Combining Implicit Semi-analog Monte Carlo (ISMC) and Monte Carlo generalised Polynomial Chaos (MC-gPC). Journal of Computational Physics 450, pages 110807.
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Elad Steinberg & Shay I. Heizler. (2022) Multi-frequency implicit semi-analog Monte-Carlo (ISMC) radiative transfer solver in two-dimensions (without teleportation). Journal of Computational Physics 450, pages 110806.
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Elad Steinberg & Shay I. Heizler. (2022) A New Discrete Implicit Monte Carlo Scheme for Simulating Radiative Transfer Problems. The Astrophysical Journal Supplement Series 258:1, pages 14.
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Ryan G. McClarren, James A. Rossmanith & Minwoo Shin. (2021) Semi-implicit Hybrid Discrete $$\left( \text {H}^T_N\right) $$ Approximation of Thermal Radiative Transfer. Journal of Scientific Computing 90:1.
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Sanjana Curtis, Noah Wolfe, Carla Fröhlich, Jonah M. Miller, Ryan Wollaeger & Kevin Ebinger. (2021) Core-collapse Supernovae: From Neutrino-driven 1D Explosions to Light Curves and Spectra. The Astrophysical Journal 921:2, pages 143.
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Kai Yan. (2021) The global optimal reference field for the difference formulation in the implicit Monte Carlo radiation transport. Journal of Computational Physics 435, pages 110258.
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Ryan G. McClarrenRyan G. McClarren. 2021. Machine Learning for Engineers. Machine Learning for Engineers 195 218 .
Aaron Smith, Rahul Kannan, Benny T.-H. Tsang, Mark Vogelsberger & Rüdiger Pakmor. (2020) AREPO-MCRT: Monte Carlo Radiation Hydrodynamics on a Moving Mesh. The Astrophysical Journal 905:1, pages 27.
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Zhuogang Peng, Ryan G. McClarren & Martin Frank. (2020) A low-rank method for two-dimensional time-dependent radiation transport calculations. Journal of Computational Physics 421, pages 109735.
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Gaël Poëtte & Xavier Valentin. (2020) A new Implicit Monte-Carlo scheme for photonics (without teleportation error and without tilts). Journal of Computational Physics 412, pages 109405.
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Benjamin R. Ryan & Joshua C. Dolence. (2020) MOCMC: Method of Characteristics Moment Closure, a Numerical Method for Covariant Radiation Magnetohydrodynamics. The Astrophysical Journal 891:2, pages 118.
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Ulrich M. Noebauer & Stuart A. Sim. (2019) Monte Carlo radiative transfer. Living Reviews in Computational Astrophysics 5:1.
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Jijie Lou, Jim E. Morel & N.A. Gentile. (2019) A Variable Eddington Factor method for the 1-D grey radiative transfer equations with discontinuous Galerkin and mixed finite-element spatial differencing. Journal of Computational Physics 393, pages 258-277.
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X. Blanc, C. Bordin, G. Kluth & G. Samba. (2018) Variance reduction method for particle transport equation in spherical geometry. Journal of Computational Physics 364, pages 274-297.
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M.A. Cleveland & A.B. Wollaber. (2018) Corrected implicit Monte Carlo. Journal of Computational Physics 359, pages 20-44.
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Amanda J. Bayless, Chris L. Fryer, Ryan Wollaeger, Brandon Wiggins, Wesley Even, Janie de la Rosa, Peter W. A. Roming, Lucy Frey, Patrick A. Young, Rob Thorpe, Luke Powell, Rachel Landers, Heather D. Persson & Rebecca Hay. (2017) The Supernovae Analysis Application (SNAP). The Astrophysical Journal 846:2, pages 101.
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Ryan T. Wollaeger, Aimee L. Hungerford, Chris L. Fryer, Allan B. Wollaber, Daniel R. van Rossum & Wesley Even. (2017) Light Curves and Spectra from a Unimodal Core-collapse Supernova. The Astrophysical Journal 845:2, pages 168.
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Kendra P. Keady & Mathew A. Cleveland. (2017) An improved random walk algorithm for the implicit Monte Carlo method. Journal of Computational Physics 328, pages 160-176.
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