A Random Number Based Method for Monte Carlo Integration

نویسنده

  • J. Wang
چکیده

A new method is proposed for Monte Carlo integration. This method is more efficient with wider coverage, including improper integrals, while the classical Monte Carlo integration can only handle bounded domain integrals. To implement this method in computer programming, you only need a random number generator. Unlike the deterministic numerical integration methods, the expected error of this method is independent of the integral dimensionality. This method is powerful and dominates other numerical integral methods for the higherdimensional integrals.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Sensitivity Analysis of a Wideband Backward-wave Directional Coupler Using Neural Network and Monte Carlo Method (RESEARCH NOTE)

In this paper sensitivity analysis of a wideband backward-wave directional coupler due to fabrication imperfections is done using Monte Carlo method. For using this method, a random stochastic process with Gaussian distribution by 0 average and 0.1 standard deviation is added to the different geometrical parameters of the coupler and the frequency response of the coupler is estimated. The appli...

متن کامل

The Florida State University College of Arts and Sciences a Grid Computing Infrastructure for Monte Carlo Applications

Monte Carlo applications are widely perceived as computationally intensive but naturally parallel. Therefore, they can be effectively executed on the grid using the dynamic bag-of-work model. We improve the efficiency of the subtask-scheduling scheme by using an N-out-of-M strategy, and develop a Monte Carlo-specific lightweight checkpoint technique, which leads to a performance improvement for...

متن کامل

Dynamic random Weyl sampling for drastic reduction of randomness in Monte Carlo integration

To reduce randomness drastically in Monte Carlo (MC) integration, we propose a pairwise independent sampling, the dynamic random Weyl sampling (DRWS). DRWS is applicable even if the length of random bits to generate a sample may vary. The algorithm of DRWS is so simple that it works very fast, even though the pseudo-random generator, the source of randomness, might be slow. In particular, we ca...

متن کامل

Monte Carlo and quasi-Monte Carlo methods

Monte Carlo is one of the most versatile and widely used numerical methods. Its convergence rate, O(N~^), is independent of dimension, which shows Monte Carlo to be very robust but also slow. This article presents an introduction to Monte Carlo methods for integration problems, including convergence theory, sampling methods and variance reduction techniques. Accelerated convergence for Monte Ca...

متن کامل

Golden ratio versus pi as random sequence sources for Monte Carlo integration

The algebraic irrational number golden ratio = (1 + 'J) /2= one of the two roots of the algebraic equation x 2 x —1 = 0 and the transcendental number ir = 2 sin' (1) = the ratio of the circumference and the diameter of any circle both have infinite number of digits with no apparent pattern. We discuss here the relative merits of these numbers as possible random sequence sources. The quality of ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2013