Local linearization method for the numerical solution of stochastic differential equations

被引:58
作者
Biscay, R
Jimenez, JC
Riera, JJ
Valdes, PA
机构
[1] Centro de Neurociencias de Cuba, Ciudad de la Habana
关键词
stochastic differential equations; numerical solution; local linearization;
D O I
10.1007/BF00052324
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
The Local Linearization (LL) approach for the numerical solution of stochastic differential equations (SDEs) is extended to general scalar SDEs, as well as to non-autonomous multidimensional SDEs with additive noise. In case of autonomous SDEs, the derivation of the method introduced gives theoretical support to one of the previously proposed variants of the LL approach. Some numerical examples are given to demonstrate the practical performance of the method.
引用
收藏
页码:631 / 644
页数:14
相关论文
共 18 条
[1]  
Arnold L., 1974, Stochastic Differential Equations: Theory and Applications, DOI DOI 10.1002/ZAMM.19770570413
[2]  
Gard T.C., 1988, INTRO STOCHASTIC DIF
[3]  
Golub G, 2013, Matrix Computations, V4th
[4]  
Henrici P., 1962, Discrete variable methods in ordinary differential equations
[5]  
Kloeden P.E., 1992, Numerical Solution of Stochastic Differential Equations, P103
[6]   A SURVEY OF NUMERICAL-METHODS FOR STOCHASTIC DIFFERENTIAL-EQUATIONS [J].
KLOEDEN, PE ;
PLATEN, E .
STOCHASTIC HYDROLOGY AND HYDRAULICS, 1989, 3 (03) :155-178
[7]  
KLOEDEN PE, 1993, NUMERICAL SOLUTION S
[8]  
Maruyama G., 1955, Rendiconti del Circolo Matematico di Palermo, V4, P48, DOI [10.1007/BF02846028, DOI 10.1007/BF02846028]
[9]  
McShane E.J., 1974, Stochastic calculus and stochastic models
[10]  
Mil'shtein G. N., 1974, Theory of Probability and Its Applications, V19, P557