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Density and Redundancy of the Noncoherent Weyl-Heisenberg Superframes
Density and Redundancy Noncoherent Weyl-Heisenberg Superframes
2015/9/29
Density and Redundancy of the Noncoherent Weyl-Heisenberg Superframes.
Density,Overcompleteness,and Localization of Frames.I.Theory
Density excess frames Gabor systems modulation spaces overcompleteness Riesz bases wavelets Weyl–Heisenberg systems
2015/9/29
Frames have applications in numerous fields of mathematics and engineering.The fundamental property of frames which makes them so useful is their overcompleteness.In most applications, it is this over...
Density, Overcompleteness,and Localization of Frames.II.Gabor Systems
Density excess frames Gabor systems modulation spaces overcompleteness Riesz bases wavelets Weyl–Heisenberg systems
2015/9/29
This work develops a quantitative framework for describing the overcompleteness of a large class of frames. A previous article introduced notions of localization and approximation between two frames F...
The divisible sandpile starts with i.i.d. random variables (“masses”) at the vertices of an infinite, vertex-transitive graph, and redistributes mass by a local toppling rule in an attempt to make all...
Adaptive local basis set for Kohn–Sham density functional theory in a discontinuous Galerkin framework I: Total energy calculation
Electronic structure Kohn–Sham density functional theory Discontinuous Galerkin Adaptive local basis set Enrichment functions Eigenvalue problem
2015/7/14
Kohn–Sham density functional theory is one of the most widely used electronic structure theories. In the pseudopotential framework, uniform discretization of the Kohn–Sham Hamiltonian generally result...
Optimized local basis set for Kohn–Sham density functional theory
Electronic structure Kohn–Sham density functional theory Optimized local basis set Discontinuous Galerkin Trace minimization Molecular dynamics Pulay force GMRES Preconditioning
2015/7/14
We develop a technique for generating a set of optimized local basis functions to solve models in the Kohn–Sham density functional theory for both insulating and metallic systems. The optimized local ...
Element orbitals for Kohn-Sham density functional theory
Element orbitals Kohn-Sham density functional theory
2015/7/14
We present a method to discretize the Kohn-Sham Hamiltonian matrix in the pseudopotential framework by a small set of basis functions automatically contracted from a uniform basis set such as plane wa...
Compressed Representation of Kohn−Sham Orbitals via Selected Columns of the Density Matrix
Compressed Representation Kohn− Sham Orbitals Selected Columns Density Matrix
2015/7/14
Given a set of Kohn−Sham orbitals from an insulating system, we present a simple, robust, efficient, and highly parallelizable method to construct a set of optionally orthogonal, localized basis...
Expansions of one density via polynomials orthogonal with respect to the other
density via polynomials orthogonal math
2010/11/11
We expand Chebyshev polynomials and some of its linear combination in linear combinations of q-Hermite, Rogers and Al Salam-Chihara polynomials and vice versa. We use these expansions to obtain expan...
We present a new adaptive kernel density estimator based on linear diffusion processes. The proposed estimator builds on existing ideas for adaptive smoothing by incorporating information from a pilot...
Existence of quadrature surfaces for uniform density supported by a segment
free boundary quadrature surfaces shape optimization optimality con-dition uniform density
2008/12/26
Given are two strictly positive constants a and k. We show
that if a ¸ 3:92k then there exists an open and bounded set in R2
which contains strictly the line segment C (C = [¡1; 1]...
