Parametric ordinary differential equations arise in many areas of science and engineering. Since some of the data is uncertain and given by intervals, traditional numerical method...
Micha Janssen, Pascal Van Hentenryck, Yves Deville
We study the performance of affine arithmetic as a replacement for interval arithmetic in interval methods for ray casting implicit surfaces. Affine arithmetic is a variant of inte...
Affonso de Cusatis Junior, Luiz Henrique de Figuei...
Initial value problems for parametric ordinary differential equations (ODEs) arise in many areas of science and engineering. Since some of the data is uncertain, traditional numer...
Micha Janssen, Pascal Van Hentenryck, Yves Deville
When interval methods handle systems of equations over the reals, two main types of filtering/contraction algorithms are used to reduce the search space. When the system is well-co...