Geodesic
Approximation of the Sets of Solutions by Parametric Sets
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 3, pp. 305-311

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We consider approximation of the sets of solutions of problems with interval initial data by special parametric sets. The approximations are based on the union of geometric bodies determined by a vector of parameters. Examples of approximation are given for the sets of solutions to a system of linear algebraic equations and dynamical systems.
Keywords: interval analysis, sets of solutions, parametric sets, systems of linear algebraic equations, dynamical systems, wrapping effect. 
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     author = {Boris S. Dobronets},
     title = {Approximation of the {Sets} of {Solutions} by {Parametric} {Sets}},
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Boris S. Dobronets. Approximation of the Sets of Solutions by Parametric Sets. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 3, pp. 305-311. http://geodesic.mathdoc.fr/item/JSFU_2009_2_3_a5/