Theory and Application of Monte Carlo Method

The research progress and results of Monte Carlo method for the engineering technology fields are reviewed. Firstly, the basic ideas and principles of Monte Carlo method are briefly introduced. Secondly, the simulation process and procedure of Monte Carlo method are presented. Thirdly, the applications in several fields such as particle transport problems, inter-particle collision, mathematical, statistical mechanics calculation and other engineering applications are summarized. Finally, the direction of future development for Monte Carlo method was discussed.

[1]  Xu Zheng.  REAL-TIME RELIABILITY PREDICTION METHOD BASED ON MARKOV CHAIN MONTE CARLO , 2007 .

[2]  Fan Ruyu.  Monte Carlo Simulation of Gamma Ray Transport in Non-uniform Atmosphere , 2010 .

[3]  Kevin J. Bowers,et al.  A maximum likelihood method for linking particle-in-cell and Monte-Carlo transport simulations , 2004, Comput. Phys. Commun..

[4]  Lucreţiu M. Popescu.  A geometry modeling system for ray tracing or particle transport Monte Carlo simulation , 2003 .

[5]  Fan Hai-yan.  Application of Monte-Carlo method in the reliability calculation of bus travel time , 2006 .

[6]  Michael Aichinger,et al.  Monte Carlo Simulation , 2013 .

[7]  P. Glasserman,et al.  Monte Carlo methods for security pricing , 1997 .

[8]  Wang Yan.  Monte Carlo Simulation Methods and Its Improved Technique for Pricing Warrants , 2010, IEEM 2010.

[9]  Cai Shaohui.  Global Variance Reduction Method for Monte Carlo Particle Transport Problemes , 2010 .

[10]  Wang Zheng.  Monte Carlo simulation of time-of-flight spectrum produced in ion-atom collisions , 2003 .

[11]  Kevin J. Roberts,et al.  HABIT - a program for predicting the morphology of molecular crystals , 1991 .

[12]  Deng Shao-jun.  Monte Carlo Simulation of 3-dimensional Ising Model , 2009 .

[13]  Jiang Yong.  Study on Transmission Properties in Gastric Tissue with Monte Carlo Simulation Method , 2009 .

[14]  Roy W. Chantrell,et al.  A model of the properties of colloidal dispersions of weakly interacting fine ferromagnetic particles , 1984 .

[15]  Christos E. Papadopoulos,et al.  Uncertainty estimation and Monte Carlo simulation method , 2001 .

[16]  Chih-Hung Hsu,et al.  A Lagrangian modeling approach with the direct simulation Monte-Carlo method for inter-particle collisions in turbulent flow , 2007 .

[17]  Li Gang,et al.  A Summarization on Monte Carlo Simulation in Particle Transport , 2010 .

[18]  Li Qin,et al.  Monte Carlo computation in the applied research of nuclear technology , 2007 .