Evaluation of pesticide-soil system interactions as a function of soil propertiesNon-linear parameter estimation in pesticide degradation
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A Modified Multiple Shooting Algorithm for Parameter Estimation in ODEs Using Adjoint Sensitivity Analysis
2021, Applied Mathematics and ComputationCitation Excerpt :In this section, we recall the classical multiple shooting method whose detailed mathematical analysis was performed in [3,4]. The method is used to estimate the parameters of the system and some applications of this method to measured data are given in [16–19]. Here our aim is to employ the adjoint method [12] so that the computational cost of the algorithm decreases.
Parameter identification in dynamical models of anaerobic waste water treatment
2002, Mathematical BiosciencesParametric, nonparametric and parametric modelling of a chaotic circuit time series
2000, Physics Letters, Section A: General, Atomic and Solid State PhysicsCitation Excerpt :The parametric modelling based on the suggested model, the search for a better model by a nonparametric procedure and the final parametric fit is presented in Section 4. Simulation studies have shown that, for many types of dynamics, this approach is numerically unstable by yielding a diverging trajectory or stopping in a local minimum [19–21]. The reason for this is that even for slightly wrong parameters, the trial trajectory looses contact to the measured trajectory.
Parameter identification techniques for partial differential equations
2004, International Journal of Bifurcation and Chaos in Applied Sciences and EngineeringDegradation and sorption of the herbicide pelargonic acid in subsoils below railway tracks compared to a range of topsoils
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