@article{Kloeden2003-12Runge-43210,
  year={2003},
  doi={10.1002/pamm.200310550},
  title={Runge‐Kutta methods for monotone differential and stochastic equations},
  number={1},
  volume={3},
  journal={Proceedings in Applied Mathematics and Mechanics : PAMM},
  pages={565--566},
  author={Kloeden, Peter and Schropp, Johannes}
}

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    <dcterms:abstract xml:lang="eng">Runge‐Kutta methods which preserve monotonicity for deterministic ordinary differential equations also preserve montonicity for random differential equations albeit with reduced order. However, the only one‐step numerical methods which preserve the montone structure of a monotone stochastic differential equation are the strong Taylor schemes of strong order 0:5 and 1:0.</dcterms:abstract>
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