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MP
2016
10 years 3 months ago
Worst case complexity of direct search under convexity
In this paper we prove that the broad class of direct-search methods of directional type, based on imposing sufficient decrease to accept new iterates, exhibits the same worst cas...
M. Dodangeh, Luís N. Vicente
MOC
2016
10 years 3 months ago
Control of 2D scalar conservation laws in the presence of shocks
Abstract. We analyze a model optimal control problem for a 2D scalar conservation law: The so-called inverse design problem, the goal being to identify the initial datum leading to...
Rodrigo Lecaros, Enrique Zuazua
MOC
2016
10 years 3 months ago
Efficient algorithms for computing rational first integrals and Darboux polynomials of planar polynomial vector fields
We present fast algorithms for computing rational first integrals with bounded degree of a planar polynomial vector field. Our approach builds upon a method proposed by Ferragut ...
Alin Bostan, Guillaume Chèze, Thomas Cluzea...
MOC
2016
10 years 3 months ago
A BDDC algorithm with deluxe scaling for H(curl) in two dimensions with irregular subdomains
A bound is obtained for the condition number of a BDDC algorithm for problems posed in H(curl) in two dimensions, where the subdomains are only assumed to be uniform in the sense o...
Juan G. Calvo