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Preserving positivity in solutions of discretised stochastic differential equations - MaRDI portal

Preserving positivity in solutions of discretised stochastic differential equations (Q711313)

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scientific article; zbMATH DE number 5804933
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Preserving positivity in solutions of discretised stochastic differential equations
scientific article; zbMATH DE number 5804933

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    Preserving positivity in solutions of discretised stochastic differential equations (English)
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    25 October 2010
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    The maximal number of simulation mesh points required on a finite interval for preserving positive trajectories of the Euler-Maruyama method for discretised linear stochastic differential equations with positive solution with a given probability is estimated.
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    Euler-Maruyama method
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    numerical discretisation
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    stochastic differential equation
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    stochastic difference equation
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    positive solution
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    Monte Carlo simulation
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