A comparative linear mean-square stability analysis of Maruyama- and Milstein-type methods

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On exponential mean-square stability of two-step Maruyama methods for stochastic delay differential equations

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15 صفحه اول

A-stability and Stochastic Mean-square Stability∗

This note extends and interprets a result of Saito and Mitsui [SIAM J. Numer. Anal., 33 (1996), pp. 2254–2267] for a method of Milstein. The result concerns mean-square stability on a stochastic differential equation test problem with multiplicative noise. The numerical method reduces to the Theta Method on deterministic problems. Saito and Mitsui showed that the deterministic A-stability prope...

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ژورنال

عنوان ژورنال: Mathematics and Computers in Simulation

سال: 2011

ISSN: 0378-4754

DOI: 10.1016/j.matcom.2010.09.015