Geoscientific Model Development
Geoscientific Model Development
GMD
Articles | Volume 19, issue 6
Articles | Volume 19, issue 6
https://doi.org/10.5194/gmd-19-2373-2026
© Author(s) 2026. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/gmd-19-2373-2026
© Author(s) 2026. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 19, issue 6
Development and technical paper
 | 
24 Mar 2026
Development and technical paper |  | 24 Mar 2026

Further evaluating the generalized Itô correction for accelerating convergence of stochastic parameterizations with colored noise

William Johns, Lidong Fang, Huan Lei, and Panos Stinis

Cited articles

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Berner, J., Achatz, U., Batta, L., Bengtsson, L., Camara, A. d. l., Christensen, H. M., Colangeli, M., Coleman, D. R. B., Crommelin, D., Dolaptchiev, S. I., Franzke, C. L. E., Friederichs, P., Imkeller, P., Jarvinen, H., Juricke, S., Kitsios, V., Lott, F., Lucarini, V., Mahajan, S., Palmer, T. N., Penland, C., Sakradzija, M., von Storch, J.-S., Weisheimer, A., Weniger, M., Williams, P. D., and Yano, J.-I.: Stochastic Parameterization: Toward a New View of Weather and Climate Models, B. Ame. Meteorol. Soc., 98, 565–588, https://doi.org/10.1175/BAMS-D-15-00268.1, 2017. a
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Hodyss, D., Viner, K. C., Reinecke, A., and Hansen, J. A.: The impact of noisy physics on the stability and accuracy of physics–dynamics coupling, Mon. Weather Rev., 141, 4470–4486, 2013. a, b, c, d, e, f, g, h, i, j
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Short summary
Colored noise processes can be used to imitate processes that are two small to include fully in a model. The naïve introduction of a colored noise process to a numerical algorithm can lead to unrealistic outputs. This is remedied by the introduction of the recently introduced the Generalized Ito Correction (GIC). We demonstrate the effectiveness of GIC to improve results at a low cost on two models from the atmosphere modeling literature for a range of colored noise processes.
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