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SPECTRAL CONVERGENCE ON DEGENERATING SURFACES
SPECTRAL DEGENERATING SURFACES
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2015/12/17
The study of the spectrum of the Laplace operator has produced an extensive literature. (See [Cha] and the references therein.) Of special interest to recent applications has been the behavior of spec...
Convergence Rates of AFEM with H−1 Data
AFEM Convergence Rates
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2015/12/11
This paper studies Adaptive Finite Element Methods (AFEMs), based on piecewise liear elements and newest vertex bisection, for solving second order elliptic equations with
piecewise constant coeʂ...
QUASI-OPTIMAL CONVERGENCE RATE OF AN ADAPTIVE DISCONTINUOUS GALERKIN METHOD
Discontinuous Galerkin interior penalty nonconforming meshes
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2015/12/11
We analyze an adaptive discontinuous finite element method (ADFEM) for symmetric
second order linear elliptic operators. The method is formulated on nonconforming meshes made
of simplices or q...
DESIGN AND CONVERGENCE OF AFEM IN H(DIV)
A posteriori error estimate error reduction
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2015/12/11
We design an adaptive finite element method (AFEM) for mixed boundary value problems associated with the differential operator A − ∇div in H(div,Ω). For A being a
variab...
CONVERGENCE OF MOMENTS FOR DISPERSING BILLIARDS WITH CUSPS
Chaos decay of correlations Central Limit Theorem
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2015/9/29
Dispersing billiards with cusps are deterministic dnamical systems with a mild degree of chaos, exhibiting “intermittent” behavior that alternates between regular and chaotic paterns.
RATES OF CONVERGENCE FOR RANDOM APPROXIMATIONS OF CONVEX SETS
PACKING NUMBERS POLAR SET
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2015/8/20
The Hausdorff distance between a compact convex set K CRd and random sets
K c lRd iS studied. Basic inequalities are derived for the case of K being a convex
subset of K. If applied to special seq...
A GAMMA-CONVERGENCE APPLIED TO MULTISPECTRAL IMAGE CLASSIFICATION AND RESTORATION
Image Classification Image Restoration Multispectral satellite image Remote Sensing
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2015/7/30
The main objective of this paper is to develop a model which combines in the same process image classification and restoration.
Image classification consists of assigning a label to each site of an ...
On quantitative convergence to quasi-stationarity
Quantitative convergence
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2015/7/7
On quantitative convergence to quasi-stationarity。
Frontogenesis and Frontal Progression of a Trapping-Generated Estuarine Convergence Front and Its Influence on Mixing and Stratification
Front Frontogenesis Trapping Convergence front Lateral circulation
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2015/6/30
Estuarine fronts are well known to influence transport of waterborne constituents such as phytoplankton and sediment, yet due to their ephemeral nature, capturing the physical driving mechanisms and t...
A Distributed Algorithm with Linear Convergence for Maximum Lifetime Routing in Wireless Networks
Linear Convergence Lifetime Routing
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2015/6/19
A wireless sensor network of nodes with limited energy is considered. The problem of computing a routing flow that maximizes the network lifetime is formulated as a linear program. We consider a conve...
Unexpected Convergence between Science and Philosophy: A debate on determinism in France around 1880
Science and Philosophy France around 1880
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2015/3/26
In 1878 the mathematician Joseph Boussinesq pointed out a structural analogy between some features of living beings and singular solutions of differential equations. Sudden transitions between ordinar...
Improving the Convergence of SU(3) Baryon Chiral Perturbation Theory
Baryon chiral perturbation theory the chiral expansion momentum space physics
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2014/12/23
Baryon chiral perturbation theory as conventionally applied using dimensional regularization has a well-known problem with the convergence of the SU(3) chiral expansion. One can reformulate the theory...
Regularization of Diagrammatic Series with Zero Convergence Radius
Expansion macroscopic system graphic technology system model diagram structure
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2014/12/19
The divergence of perturbative expansions which occurs for the vast majority of macroscopic systems and follows from Dyson’s collapse argument prevents the direct use of Feynman’s diagrammatic techniq...
Xenopus ADAM13 and ADAM19 are Important for Proper Convergence and Extension of the Notochord
ADAM Metalloprotease Convergence and Extension Embryo Gastrulation Mediolateral Cell Intercalation Xenopus laevis
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2014/12/10
Gastrulation is a fundamental process that reorganizes the primary germ layers to shape the internal and external features of an early embryo. Morphogenetic movements underlying this process can be cl...
Improved convergence and stability properties in a three-dimensional higher-order ice sheet model
Improved convergence stability properties i
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2014/12/9
We present a finite difference implementation of
a three-dimensional higher-order ice sheet model.In comparison to a conventional centred difference discretisation it
enhances both numerical s...