On the numerical discretisation of stochastic oscillators
2012 (English)In: Mathematics and Computers in Simulation, ISSN 0378-4754, Vol. 82, no 8, 1478-1495 p.Article in journal (Refereed) Published
In this article, we propose an approach, based on the variation-of-constants formula, for the numerical discretisation over long-time intervals of several stochastic oscillators. Additive and multiplicative noises are treated separately. The proposed schemes permit the use of large step sizes in the presence of a high frequency in the problem and offer various additional properties. These new numerical integrators can be viewed as a stochastic-generalisation of the trigonometric integrators for highly oscillatory deterministic problems. (C) 2012 IMACS. Published by Elsevier B.V. All rights reserved.
Place, publisher, year, edition, pages
2012. Vol. 82, no 8, 1478-1495 p.
Stochastic oscillators, Highly oscillatory problems, Kubo oscillator, Langevin equation, Numerical schemes, Stochastic trigonometric integrators
IdentifiersURN: urn:nbn:se:umu:diva-59155DOI: 10.1016/j.matcom.2012.02.004ISI: 000304430000008OAI: oai:DiVA.org:umu-59155DiVA: diva2:551367