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FOCM
2002
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13 years 5 months 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
13 years 12 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