Multilevel Monte Carlo methods
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Tài liệu tham khảo
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A. Teckentrup (2013), Multilevel Monte Carlo methods and uncertainty quantification. PhD thesis, University of Bath.
M. Giles , K. Debrabant and A. Rößler (2013), Numerical analysis of multilevel Monte Carlo path simulation using the Milstein discretisation. arXiv:1302.4676
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T. Primozic (2011), Estimating expected first passage times using multilevel Monte Carlo algorithm. MSc thesis, University of Oxford.
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A.-L. Haji-Ali (2012), Pedestrian flow in the mean-field limit. MSc thesis, KAUST.
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M. Giles (2014), MATLAB code for multilevel Monte Carlo computations. http://people.maths.ox.ac.uk/gilesm/acta/
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S. Burgos (2014), The computation of Greeks with multilevel Monte Carlo. DPhil thesis, University of Oxford.
A.-L. Haji-Ali , F. Nobile , E. von Schwerin and R. Tempone (2014b), Optimization of mesh hierarchies in multilevel Monte Carlo samplers. arXiv:1403.2480
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M. Giles , T. Nagapetyan and K. Ritter (2015b), ‘Multilevel Monte Carlo approximation of distribution functions and densities’, SIAM/ASA J. Uncertainty Quantification, to appear.
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A. Moraes , R. Tempone and P. Vilanova (2015), ‘Multilevel hybrid Chernoff tau-leap’, BIT Numer. Math., to appear.
