Approximations of stochastic partial differential equations

被引:0
作者
Gyöngy, I [1 ]
机构
[1] Univ Edinburgh, Dept Math & Stat, Edinburgh EH9 3JZ, Midlothian, Scotland
来源
STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2002年 / 227卷
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D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We review some results on numerical approximations of parabolic SPDEs, obtained with various methods, in particular, with the splitting up method.
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页码:287 / 307
页数:21
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共 44 条
[1]  
ALABERT A, 2000, NUMERICAL APPROXIMAT
[2]   APPROXIMATION AND SUPPORT THEOREM IN HOLDER NORM FOR PARABOLIC STOCHASTIC PARTIAL-DIFFERENTIAL EQUATIONS [J].
BALLY, V ;
MILLET, A ;
SANZSOLE, M .
ANNALS OF PROBABILITY, 1995, 23 (01) :178-222
[4]   APPROXIMATION OF SOME STOCHASTIC DIFFERENTIAL-EQUATIONS BY THE SPLITTING UP METHOD [J].
BENSOUSSAN, A ;
GLOWINSKI, R ;
RASCANU, A .
APPLIED MATHEMATICS AND OPTIMIZATION, 1992, 25 (01) :81-106
[5]  
Bensoussan A., 1989, LECT NOTES CONTROL I, V136, P257
[6]   ACCURATE EVALUATION OF STOCHASTIC WIENER INTEGRALS WITH APPLICATIONS TO SCATTERING IN RANDOM-MEDIA AND TO NON-LINEAR FILTERING [J].
BLANKENSHIP, GL ;
BARAS, JS .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1981, 41 (03) :518-552
[7]  
Brzezniak Z., 1988, Stochastics, V24, P423, DOI 10.1080/17442508808833526
[8]   A particle approximation of the solution of the Kushner-Stratonovitch equation [J].
Crisan, D ;
Lyons, T .
PROBABILITY THEORY AND RELATED FIELDS, 1999, 115 (04) :549-578
[9]  
DaPrato G., 2014, Stochastic Equations in Infinite Dimensions, V152, P493, DOI 10.1017/CBO9780511666223
[10]  
DAVIE AM, 2000, IN PRESS MATH COMPUT