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JC
2007
94views more  JC 2007»
13 years 8 months ago
On the complexity of the multivariate Sturm-Liouville eigenvalue problem
We study the complexity of approximating the smallest eigenvalue of −∆ + q with Dirichlet boundary conditions on the d-dimensional unit cube. Here ∆ is the Laplacian, and th...
A. Papageorgiou
JNS
2007
68views more  JNS 2007»
13 years 8 months ago
Single Droplet Pattern in the Cylindrical Phase of Diblock Copolymer Morphology
The Ohta-Kawasaki density functional theory of diblock copolymers gives rise to a nonlocal free boundary problem. Under a proper condition between the block composition fraction a...
X. Ren, J. Wei
JAIR
2010
139views more  JAIR 2010»
13 years 7 months ago
Multiattribute Auctions Based on Generalized Additive Independence
We develop multiattribute auctions that accommodate generalized additive independent (GAI) preferences. We propose an iterative auction mechanism that maintains prices on potentia...
Yagil Engel, Michael P. Wellman
SIAMSC
2010
108views more  SIAMSC 2010»
13 years 6 months ago
Goal-Oriented Error Estimation and Adaptivity for Free-Boundary Problems: The Shape-Linearization Approach
Abstract. We develop duality-based a posteriori error estimates for functional outputs of solutions of free-boundary problems via shape-linearization principles. To derive an appro...
K. G. van der Zee, E. H. van Brummelen, R. de Bors...
JC
2010
117views more  JC 2010»
13 years 3 months ago
Tractability through increasing smoothness
We prove that some multivariate linear tensor product problems are tractable in the worst case setting if they are defined as tensor products of univariate problems with logarithm...
Anargyros Papageorgiou, Henryk Wozniakowski