To the theory of the estimators of the Monte Carlo method which are connected with a “random walk by spheres”

1995 ◽  
Vol 36 (3) ◽  
pp. 465-471
Author(s):  
B. C. Elepov ◽  
G. A. Mikhailov
1960 ◽  
Vol 14 (71) ◽  
pp. 299
Author(s):  
C. B. T. ◽  
E. D. Cashwell ◽  
C. J. Everett

2011 ◽  
Vol 295-297 ◽  
pp. 1829-1833
Author(s):  
Tong Zhuo Li ◽  
Peng Fei Bi ◽  
Nan Jiang

First numeric computation of fluid field inside jet pump is conducted with continuity equation and momentum equation of steady fluid under right-angled two-dimension coordinates, and the random walk model is given. As for the method of integrating coupling pressure and momentum equation is adopted. The result is conforming to the flow of reality. Furthermore, the relation of random walk times and computing time and computing errors is analyzed in-depth. The relation of iterative times and computing errors is analyzed. It establishes a foundation for studying the flow field of jet pumps to use the Monte Carlo Method. At the meantime it develops a new field.


1993 ◽  
Vol 115 (1) ◽  
pp. 26-33 ◽  
Author(s):  
A. Haji-Sheikh ◽  
F. P. Buckingham

The Monte Carlo method is used to solve inverse heat conduction problems when the surface temperature is spatial and time dependent. The standard random walk is modified to deal with curved boundaries. The proposed random walk has all the characteristics of the floating random walk, except its step size is small. This is a uniquely flexible method with excellent accuracy and it is computationally fast. The method is used to solve one- and three-dimensional heat conduction problems and the results are presented. A procedure is described to improve the accuracy of the solution, then used to calculate heat transfer from a cylindrical surface cooled by a stream of air.


2020 ◽  
Vol 2020 (4) ◽  
pp. 25-32
Author(s):  
Viktor Zheltov ◽  
Viktor Chembaev

The article has considered the calculation of the unified glare rating (UGR) based on the luminance spatial-angular distribution (LSAD). The method of local estimations of the Monte Carlo method is proposed as a method for modeling LSAD. On the basis of LSAD, it becomes possible to evaluate the quality of lighting by many criteria, including the generally accepted UGR. UGR allows preliminary assessment of the level of comfort for performing a visual task in a lighting system. A new method of "pixel-by-pixel" calculation of UGR based on LSAD is proposed.


Author(s):  
V.A. Mironov ◽  
S.A. Peretokin ◽  
K.V. Simonov

The article is a continuation of the software research to perform probabilistic seismic hazard analysis (PSHA) as one of the main stages in engineering seismic surveys. The article provides an overview of modern software for PSHA based on the Monte Carlo method, describes in detail the work of foreign programs OpenQuake Engine and EqHaz. A test calculation of seismic hazard was carried out to compare the functionality of domestic and foreign software.


2019 ◽  
Vol 20 (12) ◽  
pp. 1151-1157 ◽  
Author(s):  
Alla P. Toropova ◽  
Andrey A. Toropov

Prediction of physicochemical and biochemical behavior of peptides is an important and attractive task of the modern natural sciences, since these substances have a key role in life processes. The Monte Carlo technique is a possible way to solve the above task. The Monte Carlo method is a tool with different applications relative to the study of peptides: (i) analysis of the 3D configurations (conformers); (ii) establishment of quantitative structure – property / activity relationships (QSPRs/QSARs); and (iii) development of databases on the biopolymers. Current ideas related to application of the Monte Carlo technique for studying peptides and biopolymers have been discussed in this review.


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