Abstract
This paper presents an algorithm for parameter range reduction from partial data in systems of differential algebraic equations. Interval arithmetic and linear multistep discretizations are used to prune regions of parameter space that are inconsistent with available time series data. Methods of splitting parameter space to ensure further progress are discussed. The algorithm outputs a reduced range and an approximation for each parameter value. These outputs are shown to have beneficial effect as input to traditional parameter estimation schemes. The range reduction algorithm is tested on three systems with partial data sets.
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