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pro vyhledávání: '"Backward stochastic heat equation"'
Autor:
Prohl, Andreas, Wang, Yanqing
We introduce a time-implicit, finite-element based space-time discretization scheme for the backward stochastic heat equation, and for the forward-backward stochastic heat equation from stochastic optimal control, and prove strong rates of convergenc
Externí odkaz:
http://arxiv.org/abs/2012.10117
Autor:
Prohl, Andreas1 (AUTHOR), Wang, Yanqing2 (AUTHOR) yqwang@amss.ac.cn
Publikováno v:
ESAIM: Control, Optimisation & Calculus of Variations. 6/4/2021, Vol. 26, p1-30. 30p.
Akademický článek
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Akademický článek
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Autor:
Yanqing Wang, Andreas Prohl
Publikováno v:
ESAIM: Control, Optimisation and Calculus of Variations. 27:54
We verify strong rates of convergence for a time-implicit, finite-element based space-time discretization of the backward stochastic heat equation, and the forward-backward stochastic heat equation from stochastic optimal control. The fully discrete
Autor:
Thomas Dunst, Andreas Prohl
Publikováno v:
SIAM Journal on Scientific Computing. 38:A2725-A2755
We prove strong convergence with optimal rates for a spatial discretization of the backward stochastic heat equation, and the forward-backward stochastic heat equation from stochastic optimal control. A full discretization based on the implicit Euler
Autor:
Bin Liu, Huaiqiang Yu
Publikováno v:
Stochastics. 85:532-558
This paper considers a stochastic control problem in which the dynamic system is a controlled backward stochastic heat equation with Neumann boundary control and boundary noise and the state must coincide with a given random vector at terminal time.
Autor:
Li, Hongheng1 hongheng.li@163.com, Lü, Qi luqi59@163.com
Publikováno v:
Chinese Annals of Mathematics. Nov2012, Vol. 33 Issue 6, p909-918. 10p.
Autor:
Prohl, Andreas, Wang, Yanqing
Publikováno v:
IMA Journal of Numerical Analysis; Oct2022, Vol. 42 Issue 4, p3386-3429, 44p
Autor:
Qi Lü, Hongheng Li
Publikováno v:
BIRD: BCAM's Institutional Repository Data
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The authors establish the null controllability for some systems coupled by two backward stochastic heat equations. The desired controllability result is obtained by means of proving a suitable observability estimate for the dual system of the control
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::97705f97b7cf6fc974d30569e8f8af70
https://hdl.handle.net/20.500.11824/561
https://hdl.handle.net/20.500.11824/561