Numerical simulation of probability distribution in phase space

2014 Fiscal Year Final Research Report

• Project/Area Number: 23740357
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Meteorology/Physical oceanography/Hydrology
• Research Institution: The Institute of Physical and Chemical Research (2012-2014); Kobe University (2011)
• Principal Investigator: NISHIZAWA Seiya 独立行政法人理化学研究所, 計算科学研究機構, 研究員 (40447892)
• Project Period (FY): 2011-04-28 – 2015-03-31
• Keywords: 存在確率分布 / 数値計算

Outline of Final Research Achievements

Probabilistic methods are necessary for long term predictions in nonlinear system due to their chaotic behavior. Direct numerical integration of the probability distribution in the phase space requires so huge amount of calculation in the case of systems with high degree of freedom, that Monte Carlo simulations are often used in such cases. In this study, possibility of the numerical integration of the probability distribution is investigated. Several approximations are employed to reduce the amount of the calculation, so the results have less accuracy than those of the Monte Carlo calculations.

Free Research Field

大気力学