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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...
On the exact discretization of the classical harmonic oscillator equation
fnite differe ncenumerical schemes exactdis-cretizations geometric numerical integration classical harmonic oscillator energy integral
2010/4/8
We discuss the exact discretization of the classical harmonic oscillator equation (including the inhomogeneous case and multidimensional generalizations) with a special stress on the energy integral. ...