A method that use Monte Carlo algorithm
is proposed in paper  to solve the nonlinear systems.
Esche, "A Monte Carlo algorithm
for single phase normal grain growth with improved accuracy and efficiency," Computational Materials Science, vol.
Thirdly, the paper develops an efficient Monte Carlo algorithm
for pricing barrier options.
 Streater RH, Lieberson AM, Pintar AL, Levine ZH (18 September 2017) MCSLinv: Inverse Monte Carlo Algorithm
. Available at https://github.com/usnistgov/MCSLinv.
Based on this result, the Monte Carlo algorithm
used to generate events is as follows.
Clinicians also utilise the latest techniques in treatment planning, the Monte Carlo algorithm
, to precisely calculate how radiation is distributed across the in-homogenous tissues in the chest cavity in order to get the best treatment outcomes.
The authors develop a sequential Monte Carlo algorithm
that delivers an estimate of the likelihood function of the model using simulation methods.
This paper extends the model to take into account item families with constructed response items, and designs a Markov chain Monte Carlo algorithm
for the Bayesian estimation of model parameters.
This is why an assistant algorithm, to be run alongside the Monte Carlo algorithm
, seems necessary to provide an estimation of the failure probability with lower samples numbers.