Rational approximation for estimation of quality Q factor and phase velocity in linear, viscoelastic, isotropic media

被引:10
作者
Zhang, Dali [1 ]
Lamoureux, Michael P. [1 ]
Margrave, Gary F. [2 ]
Cherkaev, Elena [3 ]
机构
[1] Univ Calgary, Dept Math & Stat, 2500 Univ Dr NW, Calgary, AB T2N 1N4, Canada
[2] Univ Calgary, Dept Geosci, Calgary, AB T2N 1N4, Canada
[3] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA
基金
美国国家科学基金会;
关键词
Stieltjes representation; Rational approximation; Relaxation spectrum; Quality factor; Complex velocity; Viscoelastic modulus; COMPLEX DIELECTRIC-CONSTANT; WAVE-PROPAGATION SIMULATION; EFFICIENT SIMULATION; NUMERICAL-SIMULATION; ZERO-OFFSET; BOUNDS; REGULARIZATION; DISPERSION; SCHEME;
D O I
10.1007/s10596-010-9201-7
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The authors discuss one type of general forward-backward stochastic differential equations (FBSDEs) with It's stochastic delayed equations as the forward equations and anticipated backward stochastic differential equations as the backward equations. The existence and uniqueness results of the general FBSDEs are obtained. In the framework of the general FBSDEs in this paper, the explicit form of the optimal control for linearquadratic stochastic optimal control problem with delay and the Nash equilibrium point for nonzero sum differential games problem with delay are obtained.
引用
收藏
页码:117 / 133
页数:17
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