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MOC
2016
10 years 25 days ago
Contraction property of adaptive hybridizable discontinuous Galerkin methods
We establish the contraction property between consecutive loops of adaptive hybridizable discontinuous Galerkin methods for the Poisson problem with homogeneous Dirichlet condition...
Bernardo Cockburn, Ricardo H. Nochetto, Wujun Zhan...
MOC
2016
10 years 25 days ago
Dual Gramian analysis: Duality principle and unitary extension principle
Dual Gramian analysis is one of the fundamental tools developed in a series of papers [37, 40, 38, 39, 42] for studying frames. Using dual Gramian analysis, the frame operator can ...
Zhitao Fan, Hui Ji, Zuowei Shen
MOC
2016
10 years 25 days ago
Eventual linear convergence of the Douglas-Rachford iteration for basis pursuit
We provide a simple analysis of the Douglas-Rachford splitting algorithm in the context of 1 minimization with linear constraints, and quantify the asymptotic linear convergence r...
Laurent Demanet, Xiangxiong Zhang
MOC
2016
10 years 25 days ago
Computation and structure of character polylogarithms with applications to character Mordell-Tornheim-Witten sums
This paper extends tools developed in [10, 8] to study character polylogarithms. These objects are used to compute Mordell-Tornheim-Witten character sums and to explore their conn...
David H. Bailey, Jonathan M. Borwein
MOC
2016
10 years 25 days ago
A p-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties
Mazur, Tate, and Teitelbaum gave a p-adic analogue of the Birch and Swinnerton-Dyer conjecture for elliptic curves. We provide a generalization of their conjecture in the good ordi...
Jennifer S. Balakrishnan, J. Steffen Müller, ...