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pyEF: A Python Framework for QM and QM/MM Atom-Wise Electric Field Analysis. [PDF]

open access: yesJ Chem Theory Comput
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Inconsistencies in moment methods

Physical Review E, 2002
In this work we show that moment methods devised to solve the Boltzmann kinetic equation for a simple gas exhibit some inconsistencies. This puzzle, which also appears for the Chapman-Enskog method, is solved resorting to a perturbative expansion in the Knudsen number, thus allowing for a clear way to arrive at a closure condition.
R M, Velasco   +2 more
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Method of moments of Grad

Physical Review A, 1990
Using the kinetic theory of monatomic gases of hard-sphere particles as a base, we develop the method of moments of Grad [Commun. Pure Appl. Math 2, 331 (1949)] within the framework of algebraic computing. In this theory the basic fields are characterized by 13+9N moments of the distribution function, with 0\ensuremath{\le}N\ensuremath{\le}4.
, Reinecke, , Kremer
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Capacitors and the method of moments

Computers & Electrical Engineering, 2004
Abstract The inhomogeneous charge distribution in several plate capacitors is calculated using the Method of Moments. Effects of global and local “inhomogeneities” in the capacitor are simulated.
Er-Wei Bai, Karl E. Lonngren
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On image analysis by the methods of moments

Proceedings CVPR '88: The Computer Society Conference on Computer Vision and Pattern Recognition, 1988
Various types of moments have been used to recognize image patterns in a number of applications. A number of moments are evaluated and some fundamental questions are addressed, such as image-representation ability, noise sensitivity, and information redundancy.
Teh, ChoHuak, Chin, Roland T
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The Fourth Moment Method

SIAM Journal on Computing, 1997
Summary: Higher moment analysis has typically been used to upper bound certain functions. In this paper, we introduce a new combinatorial method to lower bound the expectation of the absolute value of a random variable \(X\) by the expectation of a quartic in \(X\). In the special case, where we are looking at the absolute value of a (weighted) sum of \
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Convergence of the Method of Moments

Physical Review, 1958
A proof is given that the nth approximation of the method of moments is convengent when applied to the polaron problem. (auth)
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Orthogonalized-moments method

Physical Review B, 1985
I propose a method to compute the local density of electronic states in disordered systems. The method makes use of a particular form of the generalized moments of Lambin and Gaspard . It leads to an exact derivation of orthogonalized moments which are simply related to the coefficients of the continued-fraction representation of the density of states.
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