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ENTCS
2008
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13 years 4 months ago
Effective Computability of Solutions of Ordinary Differential Equations The Thousand Monkeys Approach
In this note we consider the computability of the solution of the initial-value problem for ordinary differential equations with continuous right-hand side. We present algorithms ...
Pieter Collins, Daniel S. Graça
FOCM
2008
100views more  FOCM 2008»
13 years 4 months ago
A Unifying Local Convergence Result for Newton's Method in Riemannian Manifolds
We consider the problem of finding a singularity of a differentiable vector field X defined on a complete Riemannian manifold. We prove a unified result for the existence and local...
Felipe Alvarez, Jérôme Bolte, Julien ...