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Geometric Euler-Maruyama schemes for stochastic differential equations in \(\mathrm{SO}(n)\) and \(\mathrm{SE}(n)\) - MaRDI portal

Geometric Euler-Maruyama schemes for stochastic differential equations in \(\mathrm{SO}(n)\) and \(\mathrm{SE}(n)\) (Q2817779)

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scientific article; zbMATH DE number 6621947
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English
Geometric Euler-Maruyama schemes for stochastic differential equations in \(\mathrm{SO}(n)\) and \(\mathrm{SE}(n)\)
scientific article; zbMATH DE number 6621947

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    2 September 2016
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    stochastic Lie group integrators
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    Padé approximation
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    Euler-Maruyama
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    Cayley transform
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    geometric integration
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    strong convergence
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    quadratic Lie group
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    numerical examples
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    exponential Rodrigues formula
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    convergence
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    algorithm
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    Geometric Euler-Maruyama schemes for stochastic differential equations in \(\mathrm{SO}(n)\) and \(\mathrm{SE}(n)\) (English)
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