Application of Biasing Techniques to the Contributon Monte Carlo Method

Recently, a new Monte Carlo method called the contributon Monte Carlo method was developed. The method is based on the theory of “contributons” and utilizes a new recipe for estimating target responses using a volume integral over the contributon current. The analog features of the new method were discussed in previous publications. We examine the application of some biasing methods to the new contributon scheme. A theoretical model is developed that enables an analytic prediction of the benefit to be expected when these biasing schemes are applied to both the contributon method and regular Monte Carlo. This model is verified by a variety of numerical experiments and is shown to yield satisfying results, especially for deep-penetration problems. Other considerations regarding the efficient use of the new method are also discussed and remarks are made as to the application of other biasing methods.