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IJCAI
2001
14 years 8 days ago
A Constraint Satisfaction Approach to Parametric Differential Equations
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
SIBGRAPI
1999
IEEE
14 years 3 months ago
Interval Methods for Ray Casting Implicit Surfaces with Affine Arithmetic
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...
CP
2001
Springer
14 years 3 months ago
Optimal Pruning in Parametric Differential Equations
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
CP
2009
Springer
14 years 11 months ago
Filtering Numerical CSPs Using Well-Constrained Subsystems
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...
Ignacio Araya, Gilles Trombettoni, Bertrand Neveu