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Predictor-corrector methods for a linear stochastic oscillator with additive noise
predictor-corrector method linear stochastic oscillator symplecticity stochastic Hamil-tonian system second moment mean-square convergence
2012/8/7
The predictor-corrector methods P(EC)k with equidistant discretization are applied to the nu-
merical integration of a linear stochastic oscillator. Their ability in preserving the symplecticity, the...
The Appearance of Noise Terms in Modified Adomian Decomposition Method for Quadratic Integral Equations
Modified Adomian Decomposition method Quadratic integral equation The noise Terms
2013/1/30
In this paper, we apply the modified Adomian Decomposition Method to get the numerical solutions of Quadratic integral equations. The appearance of noise terms in Decomposition Method was investigated...
Synchronization Transition in the Kuramoto Model with Colored Noise
Synchronization Transition Colored No Kuramoto Model
2010/4/6
We present a linear stability analysis of the incoherent state in a system of globally coupled, identical phase oscillators subject to colored noise. In that we succeed to bridge the extreme time scal...
Perturbation theory for a stochastic process with Ornstein-Uhlenbeck noise
Noise diffusion annihilation/creationo perators
2010/4/8
The Ornstein-Uhlenbeck process may be used to generate a noise signal with a finite correlation time. If a one-dimensional stochastic process is driven by such a noise source, it may be analysed by so...