Numerical discretization of stochastic oscillators with generalized numerical integrators
Keyword(s):
One Step
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In this study, we propose a numerical scheme for stochastic oscillators with additive noise obtained by the method of variation of constants formula using generalized numerical integrators. For both of the displacement and the velocity components, we show that the scheme has an order of 3/2 in one step convergence and a first order in overall convergence. Theoretical statements are supported by numerical experiments.
2020 ◽
Vol 99
(3)
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pp. 62-74
2013 ◽
Vol 23
(1)
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pp. 117-129
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2001 ◽
Vol 44
(3)
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pp. 203-225
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2018 ◽
Vol 52
(3)
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pp. 965-993
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Keyword(s):
2020 ◽
Vol 25
(6)
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pp. 997-1014