Articles | Volume 14, issue 10
Model description paper
04 Oct 2021
Model description paper |  | 04 Oct 2021

SymPKF (v1.0): a symbolic and computational toolbox for the design of parametric Kalman filter dynamics

Olivier Pannekoucke and Philippe Arbogast

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Cited articles

Auer, M., Tschurtschenthaler, T., and Biffl, S.: A Flyweight UML Modelling Tool for Software Development in Heterogeneous Environments, in: Proceedings of the 29th Conference on EUROMICRO, EUROMICRO '03, pp. 267–272​​​​​​​, IEEE Computer Society, Washington, DC, USA, 1–6 September 2003,​​​​​​​, 2003. a
Berre, L.: Estimation of Synoptic and Mesoscale Forecast Error Covariances in a Limited-Area Model, Mon. Weather Rev., 128, 644–667, 2000. a
Bird, R. B. and Wiest, J. M.: Constitutive Equations for Polymeric Liquids, Annu. Rev. Fluid Mech., 27, 169–193,, 1995. a
Cohn, S.: Dynamics of Short-Term Univariate Forecast Error Covariances, Mon. Weather Rev., 121, 3123–3149,<3123:DOSTUF>2.0.CO;2, 1993. a, b
Courtier, P., Andersson, E., Pailleux, J., Vasiljević, W. H., Hamrud, D., Hollingsworth, M., Rabier, A. F., and Fisher, M.​​​​​​​​​​​​​​: The ECMWF implementation of three-dimensional variational assimilation (3D-Var). I: Formulation, Q. J. Roy. Meteor. Soc., 124, 1783–1807, 1998. a
Short summary
This contributes to research on uncertainty prediction, which is important either for determining the weather today or estimating the risk in prediction. The problem is that uncertainty prediction is numerically very expensive. An alternative has been proposed wherein uncertainty is presented in a simplified form with only the dynamics of certain parameters required. This tool allows for the determination of the symbolic equations of these parameter dynamics and their numerical computation.