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On Strong Consistency for One-Step Approximations of Stochastic Ordinary Differential Equations

Rózsa Horváth Bokor ()
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Rózsa Horváth Bokor: University of Veszprém, Department of Mathematics and Computing

A chapter in Proceedings of the Conference on Applied Mathematics and Scientific Computing, 2005, pp 197-205 from Springer

Abstract: Abstract In numerical approximation for stochastic ordinary differential equations (SODEs) the main concepts such as relationship between local errors and strong consistency are considered. The main result that consistency conditions given in [P. Kloeden and E. Platen, Numerical Solution of Stochastic Ordinary Differential Equations, Springer-Verlag, 1992] and local errors are equivalent under appropriate conditions.

Keywords: Stochastic ordinary differential equations; numerical methods; convergence; consistency; local errors (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4020-3197-7_13

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DOI: 10.1007/1-4020-3197-1_13

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