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A Novel Interval Arithmetic Approach for Solving Differential-Algebraic Equations with ValEncIA-IVP
2009
International Journal of Applied Mathematics and Computer Science
A Novel Interval Arithmetic Approach for Solving Differential-Algebraic Equations with ValEncIA-IVP The theoretical background and the implementation of a new interval arithmetic approach for solving sets of differential-algebraic equations (DAEs) are presented. The proposed approach computes guaranteed enclosures of all reachable states of dynamical systems described by sets of DAEs with uncertainties in both initial conditions and system parameters. The algorithm is based on ValEncIA-IVP,
doi:10.2478/v10006-009-0032-4
fatcat:g35xwekisjg4dnn6ges45ht2ym