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FOCM
2002
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14 years 11 days ago
A Rigorous ODE Solver and Smale's 14th Problem
We present an algorithm for computing rigorous solutions to a large class of ordinary differential equations. The main algorithm is based on a partitioning process and the use of i...
Warwick Tucker
UC
2009
Springer
14 years 7 months ago
Computing Domains of Attraction for Planar Dynamics
In this note we investigate the problem of computing the domain of attraction of a flow on R2 for a given attractor. We consider an operator that takes two inputs, the description...
Daniel S. Graça, Ning Zhong