Model smoothing strategies to remove microscale discontinuities and spurious secondary optima in objective functions in hydrological calibration

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Ancient numerical daemons of conceptual hydrological modeling: 2. Impact of time stepping schemes on model analysis and prediction (2010, background): “, 1992; Shampine and Reichelt, 1997] and despite growing indications in the hydrological literature that poor model numerics have a detrimental effect on model performance and application [e.g., Kavetski et al., 2003b; Kavetski and Kuczera, 2007].”
Towards a comprehensive assessment of model structural adequacy (2012, background): “[52] In SW, poor numerical schemes have been shown to result in incorrect evolution of spatiotemporal state/flux trajectories (wrong numerical solutions, as opposed to incorrect simulations of reality), and to result in highfrequency oscillations of the Likelihood function, causing severe problems d”
Corruption of accuracy and efficiency of Markov chain Monte Carlo simulation by inaccurate numerical implementation of conceptual hydrologic models (2010, methodology): “However, work by Kavetski and coworkers [Kavetski et al., 2003; Kavetski et al., 2006a; Kavetski and Kuczera, 2007; Clark and Kavetski, 2010; Kavetski and Clark, 2010] has drawn attention to the importance of accurate numerical implementation of conceptual hydrologic models.”