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A TECHNIQUE USED TO DETERMINE RANDOM POINT POSITION 1
Author(s) -
Shih SunFu,
Hamrick Robert L.
Publication year - 1974
Publication title -
jawra journal of the american water resources association
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.957
H-Index - 105
eISSN - 1752-1688
pISSN - 1093-474X
DOI - 10.1111/j.1752-1688.1974.tb00611.x
Subject(s) - flowchart , monte carlo method , point (geometry) , range (aeronautics) , computer science , boundary (topology) , position (finance) , algorithm , computer program , random walk , mathematical optimization , mathematics , mathematical analysis , geometry , statistics , engineering , finance , economics , programming language , aerospace engineering , operating system
The Monte Carlo method is a procedure which takes advantage of the high speed of electronic computer in solving complex problems in physical and mathematical fields. A rigid technique to determine whether a random point falls within an arbitrary‐shaped boundary is not available. This study is to present a new technique which can be used to determine whether a random point falls within any shape of boundary, together with its range of application. A modified fixed random walk procedure is also developed to solve the problems of groundwater movement. A flowchart and computer program are also demonstrated. Comparisons of this newly developed method are made with other approximate solutions. The results indicates that the new technique is more applicable and powerful than other methods.