Monte Carlo method (English Wikipedia)

Metropolis, Nicholas; Rosenbluth, Arianna W.; Rosenbluth, Marshall N.; Teller, Augusta H.; Teller, Edward (June 1, 1953). "Equation of State Calculations by Fast Computing Machines". The Journal of Chemical Physics. 21 (6): 1087–1092. Bibcode:1953JChPh..21.1087M. doi:10.1063/1.1699114. ISSN 0021-9606. OSTI 4390578. S2CID 1046577.
Hastings, W. K. (April 1, 1970). "Monte Carlo sampling methods using Markov chains and their applications". Biometrika. 57 (1): 97–109. Bibcode:1970Bimka..57...97H. doi:10.1093/biomet/57.1.97. ISSN 0006-3444. S2CID 21204149.
Liu, Jun S.; Liang, Faming; Wong, Wing Hung (March 1, 2000). "The Multiple-Try Method and Local Optimization in Metropolis Sampling". Journal of the American Statistical Association. 95 (449): 121–134. Bibcode:2000JASA...95..121L. doi:10.1080/01621459.2000.10473908. ISSN 0162-1459. S2CID 123468109.
Spall, J. C. (2003). "Estimation via Markov Chain Monte Carlo". IEEE Control Systems Magazine. 23 (2): 34–45. Bibcode:2003ICSys..23b..34S. doi:10.1109/MCS.2003.1188770.
Hill, Stacy D.; Spall, James C. (2019). "Stationarity and Convergence of the Metropolis-Hastings Algorithm: Insights into Theoretical Aspects". IEEE Control Systems Magazine. 39 (1): 56–67. Bibcode:2019ICSys..39a..56H. doi:10.1109/MCS.2018.2876959. S2CID 58672766.
Atanassova, E.; Gurov, T.; Karaivanova, A.; Ivanovska, S.; Durchova, M.; Dimitrov, D. (2016). "On the parallelization approaches for Intel MIC architecture". AIP Conference Proceedings. 1773 (1): 070001. Bibcode:2016AIPC.1773g0001A. doi:10.1063/1.4964983.
Cunha Jr, A.; Nasser, R.; Sampaio, R.; Lopes, H.; Breitman, K. (2014). "Uncertainty quantification through the Monte Carlo method in a cloud computing setting". Computer Physics Communications. 185 (5): 1355–1363. arXiv:2105.09512. Bibcode:2014CoPhC.185.1355C. doi:10.1016/j.cpc.2014.01.006. S2CID 32376269.
Wei, J.; Kruis, F.E. (2013). "A GPU-based parallelized Monte-Carlo method for particle coagulation using an acceptance–rejection strategy". Chemical Engineering Science. 104: 451–459. Bibcode:2013ChEnS.104..451W. doi:10.1016/j.ces.2013.08.008.
Lin, Y.; Wang, F.; Liu, B. (2018). "Random number generators for large-scale parallel Monte Carlo simulations on FPGA". Journal of Computational Physics. 360: 93–103. Bibcode:2018JCoPh.360...93L. doi:10.1016/j.jcp.2018.01.029.
Haigh, Thomas; Priestley, Mark; Rope, Crispin (2014). "Los Alamos Bets on ENIAC: Nuclear Monte Carlo Simulations, 1947-1948". IEEE Annals of the History of Computing. 36 (3): 42–63. Bibcode:2014IAHC...36c..42H. doi:10.1109/MAHC.2014.40. S2CID 17470931.
McKean, Henry P. (1966). "A class of Markov processes associated with nonlinear parabolic equations". Proc. Natl. Acad. Sci. USA. 56 (6): 1907–1911. Bibcode:1966PNAS...56.1907M. doi:10.1073/pnas.56.6.1907. PMC 220210. PMID 16591437.
Assaraf, Roland; Caffarel, Michel; Khelif, Anatole (2000). "Diffusion Monte Carlo Methods with a fixed number of walkers" (PDF). Phys. Rev. E. 61 (4): 4566–4575. Bibcode:2000PhRvE..61.4566A. doi:10.1103/physreve.61.4566. PMID 11088257. Archived from the original (PDF) on November 7, 2014.
Caffarel, Michel; Ceperley, David; Kalos, Malvin (1993). "Comment on Feynman–Kac Path-Integral Calculation of the Ground-State Energies of Atoms". Phys. Rev. Lett. 71 (13): 2159. Bibcode:1993PhRvL..71.2159C. doi:10.1103/physrevlett.71.2159. PMID 10054598.
Hetherington, Jack H. (1984). "Observations on the statistical iteration of matrices". Phys. Rev. A. 30 (2713): 2713–2719. Bibcode:1984PhRvA..30.2713H. doi:10.1103/PhysRevA.30.2713.
Rosenbluth, Marshall N.; Rosenbluth, Arianna W. (1955). "Monte-Carlo calculations of the average extension of macromolecular chains". J. Chem. Phys. 23 (2): 356–359. Bibcode:1955JChPh..23..356R. doi:10.1063/1.1741967. S2CID 89611599.
Carvalho, Himilcon; Del Moral, Pierre; Monin, André; Salut, Gérard (July 1997). "Optimal Non-linear Filtering in GPS/INS Integration" (PDF). IEEE Transactions on Aerospace and Electronic Systems. 33 (3): 835–850. Bibcode:1997ITAES..33..835C. doi:10.1109/7.599254. S2CID 27966240. Archived from the original (PDF) on November 10, 2022. Retrieved June 11, 2015.
Del Moral, Pierre; Guionnet, Alice (2001). "On the stability of interacting processes with applications to filtering and genetic algorithms". Annales de l'Institut Henri Poincaré. 37 (2): 155–194. Bibcode:2001AIHPB..37..155D. doi:10.1016/s0246-0203(00)01064-5.
Shojaeefard, M.H.; Khalkhali, A.; Yarmohammadisatri, Sadegh (2017). "An efficient sensitivity analysis method for modified geometry of Macpherson suspension based on Pearson Correlation Coefficient". Vehicle System Dynamics. 55 (6): 827–852. Bibcode:2017VSD....55..827S. doi:10.1080/00423114.2017.1283046. S2CID 114260173.
Route, Matthew (August 10, 2017). "Radio-flaring Ultracool Dwarf Population Synthesis". The Astrophysical Journal. 845 (1): 66. arXiv:1707.02212. Bibcode:2017ApJ...845...66R. doi:10.3847/1538-4357/aa7ede. S2CID 118895524.
Jia, Xun; Ziegenhein, Peter; Jiang, Steve B (2014). "GPU-based high-performance computing for radiation therapy". Physics in Medicine and Biology. 59 (4): R151–R182. Bibcode:2014PMB....59R.151J. doi:10.1088/0031-9155/59/4/R151. PMC 4003902. PMID 24486639.
Hill, R.; Healy, B.; Holloway, L.; Kuncic, Z.; Thwaites, D.; Baldock, C. (March 2014). "Advances in kilovoltage x-ray beam dosimetry". Physics in Medicine and Biology. 59 (6): R183–R231. Bibcode:2014PMB....59R.183H. doi:10.1088/0031-9155/59/6/R183. PMID 24584183. S2CID 18082594.
Rogers, D.W.O. (2006). "Fifty years of Monte Carlo simulations for medical physics". Physics in Medicine and Biology. 51 (13): R287–R301. Bibcode:2006PMB....51R.287R. doi:10.1088/0031-9155/51/13/R17. PMID 16790908. S2CID 12066026.
Möller, W.; Eckstein, W. (March 1, 1984). "Tridyn — A TRIM simulation code including dynamic composition changes". Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms. 2 (1): 814–818. Bibcode:1984NIMPB...2..814M. doi:10.1016/0168-583X(84)90321-5.
Golden 1979 Golden, Leslie M. (1979). "The Effect of Surface Roughness on the Transmission of Microwave Radiation Through a Planetary Surface". Icarus. 38 (3): 451–455. Bibcode:1979Icar...38..451G. doi:10.1016/0019-1035(79)90199-4.
Dietrich, S.; Boyd, I. (1996). "A Scalar optimized parallel implementation of the DSMC technique". Journal of Computational Physics. 126 (2): 328–42. Bibcode:1996JCoPh.126..328D. doi:10.1006/jcph.1996.0141.
Chen, Shang-Ying; Hsu, Kuo-Chin; Fan, Chia-Ming (March 15, 2021). "Improvement of generalized finite difference method for stochastic subsurface flow modeling". Journal of Computational Physics. 429 110002. Bibcode:2021JCoPh.42910002C. doi:10.1016/J.JCP.2020.110002. S2CID 228828681.
Ojeda et al. 2009. Ojeda, P.; Garcia, M.; Londono, A.; Chen, N.Y. (February 2009). "Monte Carlo Simulations of Proteins in Cages: Influence of Confinement on the Stability of Intermediate States". Biophys. J. 96 (3): 1076–1082. Bibcode:2009BpJ....96.1076O. doi:10.1529/biophysj.107.125369. PMC 2716574. PMID 18849410.
Lorentz, Richard J. (2011). "Improving Monte–Carlo Tree Search in Havannah". Computers and Games. Lecture Notes in Computer Science. Vol. 6515. pp. 105–115. Bibcode:2011LNCS.6515..105L. doi:10.1007/978-3-642-17928-0_10. ISBN 978-3-642-17927-3.
Arenas, Daniel J.; Lett, Lanair A.; Klusaritz, Heather; Teitelman, Anne M. (2017). "A Monte Carlo simulation approach for estimating the health and economic impact of interventions provided at a student-run clinic". PLOS ONE. 12 (12) e0189718. Bibcode:2017PLoSO..1289718A. doi:10.1371/journal.pone.0189718. PMC 5746244. PMID 29284026.
MEZEI, M (December 31, 1986). "Adaptive umbrella sampling: Self-consistent determination of the non-Boltzmann bias". Journal of Computational Physics. 68 (1): 237–248. Bibcode:1987JCoPh..68..237M. doi:10.1016/0021-9991(87)90054-4.
Mosegaard & Tarantola 1995 Mosegaard, Klaus; Tarantola, Albert (1995). "Monte Carlo sampling of solutions to inverse problems" (PDF). J. Geophys. Res. 100 (B7): 12431–12447. Bibcode:1995JGR...10012431M. doi:10.1029/94JB03097. Archived from the original (PDF) on March 10, 2021. Retrieved November 1, 2017.
Elishakoff, I. (2003). "Notes on Philosophy of the Monte Carlo Method". International Applied Mechanics. 39 (7): 753–762. Bibcode:2003IAM....39..753E. doi:10.1023/A:1026236621486.

ams.org (Global: 434^th place; English: 249^th place)

mathscinet.ams.org

Del Moral, P.; Miclo, L. (2000). "Branching and interacting particle systems approximations of Feynman–Kac formulae with applications to non-linear filtering". Séminaire de Probabilités XXXIV. Lecture Notes in Mathematics. Vol. 1729. Berlin: Springer. pp. 1–145. doi:10.1007/BFb0103798. ISBN 978-3-540-67314-9. MR 1768060.

arimaa.com (Global: low place; English: low place)

Jakl, Tomas. "Arimaa challenge – comparison study of MCTS versus alpha-beta methods" (PDF). Arimaa.com. Retrieved October 28, 2017.

arxiv.org (Global: 49^th place; English: 31^st place)

Del Moral, P.; Doucet, A.; Jasra, A. (2006). "Sequential Monte Carlo samplers". Journal of the Royal Statistical Society, Series B. 68 (3): 411–436. arXiv:cond-mat/0212648. doi:10.1111/j.1467-9868.2006.00553.x. S2CID 12074789.
Cunha Jr, A.; Nasser, R.; Sampaio, R.; Lopes, H.; Breitman, K. (2014). "Uncertainty quantification through the Monte Carlo method in a cloud computing setting". Computer Physics Communications. 185 (5): 1355–1363. arXiv:2105.09512. Bibcode:2014CoPhC.185.1355C. doi:10.1016/j.cpc.2014.01.006. S2CID 32376269.
Route, Matthew (August 10, 2017). "Radio-flaring Ultracool Dwarf Population Synthesis". The Astrophysical Journal. 845 (1): 66. arXiv:1707.02212. Bibcode:2017ApJ...845...66R. doi:10.3847/1538-4357/aa7ede. S2CID 118895524.
Del Moral, Pierre; Doucet, Arnaud; Jasra, Ajay (2006). "Sequential Monte Carlo samplers". Journal of the Royal Statistical Society, Series B. 68 (3): 411–436. arXiv:cond-mat/0212648. doi:10.1111/j.1467-9868.2006.00553.x. S2CID 12074789.

books.google.com (Global: 3^rd place; English: 3^rd place)

Mazhdrakov, Benov & Valkanov 2018, p. 250. Mazhdrakov, Metodi; Benov, Dobriyan; Valkanov, Nikolai (2018). The Monte Carlo Method. Engineering Applications. ACMO Academic Press. ISBN 978-619-90684-3-4.

cambridge.org (Global: 209^th place; English: 151^st place)

journals.cambridge.org

Del Moral, Pierre (2003). "Particle approximations of Lyapunov exponents connected to Schrödinger operators and Feynman–Kac semigroups". ESAIM Probability & Statistics. 7: 171–208. doi:10.1051/ps:2003001.

climatechange2013.org (Global: low place; English: low place)

Climate Change 2013 The Physical Science Basis (PDF). Cambridge University Press. 2013. p. 697. ISBN 978-1-107-66182-0. Retrieved July 6, 2023.

crcpress.com (Global: low place; English: low place)

Del Moral, Pierre (2013). Mean field simulation for Monte Carlo integration. Chapman & Hall/CRC Press. p. 626. Monographs on Statistics & Applied Probability

dice.com (Global: low place; English: low place)

insights.dice.com

"How the Coast Guard Uses Analytics to Search for Those Lost at Sea". Dice Insights. January 3, 2014.

doi.org (Global: 2^nd place; English: 2^nd place)

Kroese, D. P.; Brereton, T.; Taimre, T.; Botev, Z. I. (2014). "Why the Monte Carlo method is so important today" (PDF). WIREs Comput Stat. 6 (6): 386–392. doi:10.1002/wics.1314. S2CID 18521840. Archived from the original on June 27, 2024. Retrieved January 30, 2026.{{cite journal}}: CS1 maint: bot: original URL status unknown (link)
Metropolis, Nicholas; Rosenbluth, Arianna W.; Rosenbluth, Marshall N.; Teller, Augusta H.; Teller, Edward (June 1, 1953). "Equation of State Calculations by Fast Computing Machines". The Journal of Chemical Physics. 21 (6): 1087–1092. Bibcode:1953JChPh..21.1087M. doi:10.1063/1.1699114. ISSN 0021-9606. OSTI 4390578. S2CID 1046577.
Hastings, W. K. (April 1, 1970). "Monte Carlo sampling methods using Markov chains and their applications". Biometrika. 57 (1): 97–109. Bibcode:1970Bimka..57...97H. doi:10.1093/biomet/57.1.97. ISSN 0006-3444. S2CID 21204149.
Liu, Jun S.; Liang, Faming; Wong, Wing Hung (March 1, 2000). "The Multiple-Try Method and Local Optimization in Metropolis Sampling". Journal of the American Statistical Association. 95 (449): 121–134. Bibcode:2000JASA...95..121L. doi:10.1080/01621459.2000.10473908. ISSN 0162-1459. S2CID 123468109.
Spall, J. C. (2003). "Estimation via Markov Chain Monte Carlo". IEEE Control Systems Magazine. 23 (2): 34–45. Bibcode:2003ICSys..23b..34S. doi:10.1109/MCS.2003.1188770.
Hill, Stacy D.; Spall, James C. (2019). "Stationarity and Convergence of the Metropolis-Hastings Algorithm: Insights into Theoretical Aspects". IEEE Control Systems Magazine. 39 (1): 56–67. Bibcode:2019ICSys..39a..56H. doi:10.1109/MCS.2018.2876959. S2CID 58672766.
Del Moral, P.; Doucet, A.; Jasra, A. (2006). "Sequential Monte Carlo samplers". Journal of the Royal Statistical Society, Series B. 68 (3): 411–436. arXiv:cond-mat/0212648. doi:10.1111/j.1467-9868.2006.00553.x. S2CID 12074789.
Atanassova, E.; Gurov, T.; Karaivanova, A.; Ivanovska, S.; Durchova, M.; Dimitrov, D. (2016). "On the parallelization approaches for Intel MIC architecture". AIP Conference Proceedings. 1773 (1): 070001. Bibcode:2016AIPC.1773g0001A. doi:10.1063/1.4964983.
Cunha Jr, A.; Nasser, R.; Sampaio, R.; Lopes, H.; Breitman, K. (2014). "Uncertainty quantification through the Monte Carlo method in a cloud computing setting". Computer Physics Communications. 185 (5): 1355–1363. arXiv:2105.09512. Bibcode:2014CoPhC.185.1355C. doi:10.1016/j.cpc.2014.01.006. S2CID 32376269.
Wei, J.; Kruis, F.E. (2013). "A GPU-based parallelized Monte-Carlo method for particle coagulation using an acceptance–rejection strategy". Chemical Engineering Science. 104: 451–459. Bibcode:2013ChEnS.104..451W. doi:10.1016/j.ces.2013.08.008.
Lin, Y.; Wang, F.; Liu, B. (2018). "Random number generators for large-scale parallel Monte Carlo simulations on FPGA". Journal of Computational Physics. 360: 93–103. Bibcode:2018JCoPh.360...93L. doi:10.1016/j.jcp.2018.01.029.
IEEE 754-2008 - IEEE Standard for Floating-Point Arithmetic. IEEE. 2008. pp. 1–70. doi:10.1109/IEEESTD.2008.4610935. ISBN 978-0-7381-5752-8.
Haigh, Thomas; Priestley, Mark; Rope, Crispin (2014). "Los Alamos Bets on ENIAC: Nuclear Monte Carlo Simulations, 1947-1948". IEEE Annals of the History of Computing. 36 (3): 42–63. Bibcode:2014IAHC...36c..42H. doi:10.1109/MAHC.2014.40. S2CID 17470931.
McKean, Henry P. (1966). "A class of Markov processes associated with nonlinear parabolic equations". Proc. Natl. Acad. Sci. USA. 56 (6): 1907–1911. Bibcode:1966PNAS...56.1907M. doi:10.1073/pnas.56.6.1907. PMC 220210. PMID 16591437.
Turing, Alan M. (1950). "Computing machinery and intelligence". Mind. LIX (238): 433–460. doi:10.1093/mind/LIX.236.433.
Del Moral, P.; Miclo, L. (2000). "Branching and interacting particle systems approximations of Feynman–Kac formulae with applications to non-linear filtering". Séminaire de Probabilités XXXIV. Lecture Notes in Mathematics. Vol. 1729. Berlin: Springer. pp. 1–145. doi:10.1007/BFb0103798. ISBN 978-3-540-67314-9. MR 1768060.
Del Moral, Pierre; Miclo, Laurent (2000). "A Moran particle system approximation of Feynman–Kac formulae". Stochastic Processes and Their Applications. 86 (2): 193–216. doi:10.1016/S0304-4149(99)00094-0.
Del Moral, Pierre (2003). "Particle approximations of Lyapunov exponents connected to Schrödinger operators and Feynman–Kac semigroups". ESAIM Probability & Statistics. 7: 171–208. doi:10.1051/ps:2003001.
Assaraf, Roland; Caffarel, Michel; Khelif, Anatole (2000). "Diffusion Monte Carlo Methods with a fixed number of walkers" (PDF). Phys. Rev. E. 61 (4): 4566–4575. Bibcode:2000PhRvE..61.4566A. doi:10.1103/physreve.61.4566. PMID 11088257. Archived from the original (PDF) on November 7, 2014.
Caffarel, Michel; Ceperley, David; Kalos, Malvin (1993). "Comment on Feynman–Kac Path-Integral Calculation of the Ground-State Energies of Atoms". Phys. Rev. Lett. 71 (13): 2159. Bibcode:1993PhRvL..71.2159C. doi:10.1103/physrevlett.71.2159. PMID 10054598.
Hetherington, Jack H. (1984). "Observations on the statistical iteration of matrices". Phys. Rev. A. 30 (2713): 2713–2719. Bibcode:1984PhRvA..30.2713H. doi:10.1103/PhysRevA.30.2713.
Rosenbluth, Marshall N.; Rosenbluth, Arianna W. (1955). "Monte-Carlo calculations of the average extension of macromolecular chains". J. Chem. Phys. 23 (2): 356–359. Bibcode:1955JChPh..23..356R. doi:10.1063/1.1741967. S2CID 89611599.
Gordon, N.J.; Salmond, D.J.; Smith, A.F.M. (April 1993). "Novel approach to nonlinear/non-Gaussian Bayesian state estimation". IEE Proceedings F - Radar and Signal Processing. 140 (2): 107–113. doi:10.1049/ip-f-2.1993.0015. ISSN 0956-375X. S2CID 12644877.
Kitagawa, G. (1996). "Monte carlo filter and smoother for non-Gaussian nonlinear state space models". Journal of Computational and Graphical Statistics. 5 (1): 1–25. doi:10.2307/1390750. JSTOR 1390750.
Carvalho, Himilcon; Del Moral, Pierre; Monin, André; Salut, Gérard (July 1997). "Optimal Non-linear Filtering in GPS/INS Integration" (PDF). IEEE Transactions on Aerospace and Electronic Systems. 33 (3): 835–850. Bibcode:1997ITAES..33..835C. doi:10.1109/7.599254. S2CID 27966240. Archived from the original (PDF) on November 10, 2022. Retrieved June 11, 2015.
Del Moral, Pierre (1998). "Measure Valued Processes and Interacting Particle Systems. Application to Non Linear Filtering Problems". Annals of Applied Probability. 8 (2) (Publications du Laboratoire de Statistique et Probabilités, 96-15 (1996) ed.): 438–495. CiteSeerX 10.1.1.55.5257. doi:10.1214/aoap/1028903535. {{cite journal}}: Cite uses deprecated parameter |citeseerx= (help)
Crisan, Dan; Gaines, Jessica; Lyons, Terry (1998). "Convergence of a branching particle method to the solution of the Zakai". SIAM Journal on Applied Mathematics. 58 (5): 1568–1590. doi:10.1137/s0036139996307371. S2CID 39982562.
Crisan, Dan; Lyons, Terry (1997). "Nonlinear filtering and measure-valued processes". Probability Theory and Related Fields. 109 (2): 217–244. doi:10.1007/s004400050131. S2CID 119809371.
Crisan, Dan; Lyons, Terry (1999). "A particle approximation of the solution of the Kushner–Stratonovitch equation". Probability Theory and Related Fields. 115 (4): 549–578. doi:10.1007/s004400050249. S2CID 117725141.
Del Moral, Pierre; Guionnet, Alice (2001). "On the stability of interacting processes with applications to filtering and genetic algorithms". Annales de l'Institut Henri Poincaré. 37 (2): 155–194. Bibcode:2001AIHPB..37..155D. doi:10.1016/s0246-0203(00)01064-5.
Sawilowsky 2003 Sawilowsky, Shlomo S. (2003). "You think you've got trivials?". Journal of Modern Applied Statistical Methods. 2 (1) jmasm.eP1744: 218–225. doi:10.22237/jmasm/1051748460.
Shojaeefard, M.H.; Khalkhali, A.; Yarmohammadisatri, Sadegh (2017). "An efficient sensitivity analysis method for modified geometry of Macpherson suspension based on Pearson Correlation Coefficient". Vehicle System Dynamics. 55 (6): 827–852. Bibcode:2017VSD....55..827S. doi:10.1080/00423114.2017.1283046. S2CID 114260173.
Davenport 1992 Davenport, J. H. (1992). "Primality testing revisited". Papers from the international symposium on Symbolic and algebraic computation - ISSAC '92. pp. 123–129. CiteSeerX 10.1.1.43.9296. doi:10.1145/143242.143290. ISBN 978-0-89791-489-5. S2CID 17322272. {{cite book}}: Cite uses deprecated parameter |citeseerx= (help)
Route, Matthew (August 10, 2017). "Radio-flaring Ultracool Dwarf Population Synthesis". The Astrophysical Journal. 845 (1): 66. arXiv:1707.02212. Bibcode:2017ApJ...845...66R. doi:10.3847/1538-4357/aa7ede. S2CID 118895524.
Jia, Xun; Ziegenhein, Peter; Jiang, Steve B (2014). "GPU-based high-performance computing for radiation therapy". Physics in Medicine and Biology. 59 (4): R151–R182. Bibcode:2014PMB....59R.151J. doi:10.1088/0031-9155/59/4/R151. PMC 4003902. PMID 24486639.
Hill, R.; Healy, B.; Holloway, L.; Kuncic, Z.; Thwaites, D.; Baldock, C. (March 2014). "Advances in kilovoltage x-ray beam dosimetry". Physics in Medicine and Biology. 59 (6): R183–R231. Bibcode:2014PMB....59R.183H. doi:10.1088/0031-9155/59/6/R183. PMID 24584183. S2CID 18082594.
Rogers, D.W.O. (2006). "Fifty years of Monte Carlo simulations for medical physics". Physics in Medicine and Biology. 51 (13): R287–R301. Bibcode:2006PMB....51R.287R. doi:10.1088/0031-9155/51/13/R17. PMID 16790908. S2CID 12066026.
Baeurle 2009 Baeurle, Stephan A. (2009). "Multiscale modeling of polymer materials using field-theoretic methodologies: A survey about recent developments". Journal of Mathematical Chemistry. 46 (2): 363–426. doi:10.1007/s10910-008-9467-3. S2CID 117867762.
Möller, W.; Eckstein, W. (March 1, 1984). "Tridyn — A TRIM simulation code including dynamic composition changes". Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms. 2 (1): 814–818. Bibcode:1984NIMPB...2..814M. doi:10.1016/0168-583X(84)90321-5.
MacGillivray & Dodd 1982 MacGillivray, H. T.; Dodd, R. J. (1982). "Monte-Carlo simulations of galaxy systems". Astrophysics and Space Science. 86 (2): 419–435. doi:10.1007/BF00683346. S2CID 189849365.
Golden 1979 Golden, Leslie M. (1979). "The Effect of Surface Roughness on the Transmission of Microwave Radiation Through a Planetary Surface". Icarus. 38 (3): 451–455. Bibcode:1979Icar...38..451G. doi:10.1016/0019-1035(79)90199-4.
Dietrich, S.; Boyd, I. (1996). "A Scalar optimized parallel implementation of the DSMC technique". Journal of Computational Physics. 126 (2): 328–42. Bibcode:1996JCoPh.126..328D. doi:10.1006/jcph.1996.0141.
Chen, Shang-Ying; Hsu, Kuo-Chin; Fan, Chia-Ming (March 15, 2021). "Improvement of generalized finite difference method for stochastic subsurface flow modeling". Journal of Computational Physics. 429 110002. Bibcode:2021JCoPh.42910002C. doi:10.1016/J.JCP.2020.110002. S2CID 228828681.
Ojeda et al. 2009. Ojeda, P.; Garcia, M.; Londono, A.; Chen, N.Y. (February 2009). "Monte Carlo Simulations of Proteins in Cages: Influence of Confinement on the Stability of Intermediate States". Biophys. J. 96 (3): 1076–1082. Bibcode:2009BpJ....96.1076O. doi:10.1529/biophysj.107.125369. PMC 2716574. PMID 18849410.
Milik & Skolnick 1993. Milik, M.; Skolnick, J. (January 1993). "Insertion of peptide chains into lipid membranes: an off-lattice Monte Carlo dynamics model". Proteins. 15 (1): 10–25. doi:10.1002/prot.340150104. PMID 8451235. S2CID 7450512.
Cassey; Smith (2014). "Simulating confidence for the Ellison-Glaeser Index". Journal of Urban Economics. 81: 93. doi:10.1016/j.jue.2014.02.005.
Spall, James C. (2005). "Monte Carlo Computation of the Fisher Information Matrix in Nonstandard Settings". Journal of Computational and Graphical Statistics. 14 (4): 889–909. CiteSeerX 10.1.1.142.738. doi:10.1198/106186005X78800. S2CID 16090098. {{cite journal}}: Cite uses deprecated parameter |citeseerx= (help)
Das, Sonjoy; Spall, James C.; Ghanem, Roger (2010). "Efficient Monte Carlo computation of Fisher information matrix using prior information". Computational Statistics & Data Analysis. 54 (2): 272–289. doi:10.1016/j.csda.2009.09.018.
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ncbi.nlm.nih.gov

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numdam.org

Del Moral, P.; Miclo, L. (2000). "Branching and interacting particle systems approximations of Feynman–Kac formulae with applications to non-linear filtering". Séminaire de Probabilités XXXIV. Lecture Notes in Mathematics. Vol. 1729. Berlin: Springer. pp. 1–145. doi:10.1007/BFb0103798. ISBN 978-3-540-67314-9. MR 1768060.

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pitt.edu (Global: 1,616^th place; English: 1,079^th place)

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Carmona, René; Del Moral, Pierre; Hu, Peng; Oudjane, Nadia (2012). "An Introduction to Particle Methods with Financial Applications". In Carmona, René A.; Moral, Pierre Del; Hu, Peng; et al. (eds.). Numerical Methods in Finance. Springer Proceedings in Mathematics. Vol. 12. Springer Berlin Heidelberg. pp. 3–49. CiteSeerX 10.1.1.359.7957. doi:10.1007/978-3-642-25746-9_1. ISBN 978-3-642-25745-2. {{cite book}}: Cite uses deprecated parameter |citeseerx= (help)

semanticscholar.org (Global: 15^th place; English: 8^th place)

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Kroese, D. P.; Brereton, T.; Taimre, T.; Botev, Z. I. (2014). "Why the Monte Carlo method is so important today" (PDF). WIREs Comput Stat. 6 (6): 386–392. doi:10.1002/wics.1314. S2CID 18521840. Archived from the original on June 27, 2024. Retrieved January 30, 2026.{{cite journal}}: CS1 maint: bot: original URL status unknown (link)
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springer.com (Global: 182^nd place; English: 172^nd place)

Del Moral, Pierre (2004). Feynman–Kac formulae. Genealogical and interacting particle approximations. Probability and Its Applications. Springer. p. 575. ISBN 978-0-387-20268-6. Series: Probability and Applications

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