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典型文献
A new simplified ordered upwind method for calculating quasi-potential
文献摘要:
We present a new method for calculation of quasi-potential,which is a key concept in the large deviation theory.This method adopts the "ordered" idea in the ordered upwind algorithm and different from the finite difference upwind scheme,the first-order line integral is used as its update rule.With sufficient accuracy,the new simplified method can greatly speed up the computational time.Once the quasi-potential has been computed,the minimum action path (MAP)can also be obtained.Since the MAP is of concern in most stochastic situations,the effectiveness of this new method is checked by analyzing the accuracy of the MAP.Two cases of isotropic diffusion and anisotropic diffusion are considered.It is found that this new method can both effectively compute the MAPs for systems with isotropic diffusion and reduce the computational time.Meanwhile anisotropy will affect the accuracy of the computed MAP.
文献关键词:
作者姓名:
Qing Yu;Xianbin Liu
作者机构:
State Key Laboratory of Mechanics and Control for Mechanical Structures,College of Aerospace Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China
引用格式:
[1]Qing Yu;Xianbin Liu-.A new simplified ordered upwind method for calculating quasi-potential)[J].中国物理B(英文版),2022(01):205-213
A类:
MAPs
B类:
new,simplified,ordered,upwind,method,calculating,quasi,potential,We,present,calculation,which,key,concept,large,deviation,theory,This,adopts,idea,algorithm,different,from,finite,difference,scheme,first,line,integral,used,its,update,rule,With,sufficient,accuracy,can,greatly,speed,computational,Once,been,computed,minimum,action,path,also,obtained,Since,concern,most,stochastic,situations,effectiveness,this,checked,by,analyzing,Two,cases,diffusion,anisotropic,are,considered,It,found,that,both,effectively,systems,reduce,Meanwhile,anisotropy,will,affect
AB值:
0.550394
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