A fundamental mean-square convergence theorem for SDEs with locally Lipschitz coefficients and its applications
Numerical Analysis
2013-11-26 v1 Probability
Abstract
A version of the fundamental mean-square convergence theorem is proved for stochastic differential equations (SDE) which coefficients are allowed to grow polynomially at infinity and which satisfy a one-sided Lipschitz condition. The theorem is illustrated on a number of particular numerical methods, including a special balanced scheme and fully implicit methods. Some numerical tests are presented.
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Cite
@article{arxiv.1212.1352,
title = {A fundamental mean-square convergence theorem for SDEs with locally Lipschitz coefficients and its applications},
author = {M. V. Tretyakov and Z. Zhang},
journal= {arXiv preprint arXiv:1212.1352},
year = {2013}
}
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28 pages