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PAIR EXCITATIONS AND THE MEAN FIELD APPROXIMATION OF INTERACTING BOSONS, I
PAIR EXCITATIONS MEAN FIELD APPROXIMATION
2015/10/15
In our previous work [20],[21] we introduced a correction to the mean eld approximation of interacting Bosons. This
correction describes the evolution of pairs of particles that leave
the condensat...
The Convergenceof an Euler Approximation of an Initial ValueProblemIs Not Always Obvious
Euler Approximation Initial ValueProblemIs Not Always Obvious
2015/8/26
The Convergenceof an Euler Approximation of an Initial ValueProblemIs Not Always Obvious.
Di€usion approximation for nonparametric autoregression
Nonparametric experiments de® ciency distance likelihood ratio process stochastic di€ erential equation autoregression di€ usion sampling asymptotic su ciency
2015/8/25
A nonparametric statistical model of small di€usion type is compared with its discretization by a stochastic Euler di€erence scheme. It is shown that the discrete and continuous models are a...
PERIODIC BOXCAR DECONVOLUTION AND DIOPHANTINE APPROXIMATION
BOXCAR DECONVOLUTION DIOPHANTINE APPROXIMATION
2015/8/20
We consider the nonparametric estimation of a periodic function that is
observed in additive Gaussian white noise after convolution with a “boxcar,”
the indicator function of an interval. This is an...
Robust solutions to l1, l2, and l_infinity uncertain linear approximation problems using convex optimization
Linear random and uncertain data convex optimization
2015/8/11
We present minimax and stochastic formulations of some linear approximation problems with uncertain data in R^n equipped with the Euclidean (l2), Absolute-sum (l1) or Chebyshev (l-infinity) norms. We ...
An ellipsoidal approximation to the Hadamard product of ellipsoids
Computational efficiency ellipsoid signal
2015/8/11
This paper introduces a computationally efficient outer approximation to the Hadamard, i.e., element-wise, product of two ellipsoids. This element-wise product corresponds to multiplicative uncertaint...
Pole-Based Approximation of the Fermi-Dirac Function
Contour integral Fermi-Dirac function Rational approximation
2015/7/14
Two approaches for the efficient rational approximation of the Fermi-Dirac function are discussed: one uses the contour integral representation and conformal mapping, and the other is based on a versi...
A sweeping preconditioner for Yee’s finite difference approximation of time-harmonic Maxwell’s equations
Electromagnetic scattering Yee grid finite difference methods perfectly matched layers LDLT factorizations multifrontal method wave propagation in inhomogeneous and anisotropic media matrix preconditioners
2015/7/14
This paper is concerned with the fast iterative solution of linear systems arising from finite difference discretizations in electromagnetics. The sweeping preconditioner with moving perfectly matched...
We consider the problem of constructing a wave extrapolation operator in a variable and possibly anisotropic medium. Our construction involves Fourier transforms in space combined with the help of a l...
Lowrank finite-differences and lowrank Fourier finite-differences for seismic wave extrapolation in the acoustic approximation
Numerical solutions Body waves Seismic anisotropy Computational seismology Wave propagation Acoustic properties
2015/7/14
We introduce a novel finite-difference (FD) approach for seismic wave extrapolation in time.We derive the coefficients of the finite-difference operator from a lowrank approximation of the space-waven...
Exchangeable Pairs and Poisson Approximation。
In Artin's work on algebraic spaces and algebraic stacks [A2], [A3], a crucial ingredient is the use of his
approximation theorem to prove the algebraizability of formal deformations under quite gene...
A Constant Factor Approximation Algorithm for Event-Based Sampling
Event-Based Sampling Approximation Algorithm
2015/6/19
We consider a control system in which sensor data is transmitted from the plant to a receiver over a communication channel, and the receiver uses the data to estimate the state of the plant. Using a f...
New Ties between Computational Harmonic Analysis and Approximation Theory
Computational Harmonic Analysis Approximation Theory
2015/6/17
Is the connection between approximation theory and harmonic analysis genuine? This question may seem a little provocative,especially in light of the recent literature about the significant interaction...
Estimates for approximation numbers of some classes of composition operators on the Hardy space
approximation numbers Blaschke product composition operator cusp map Hardy space modulus of continuity Schatten classes
2012/6/21
We give estimates for the approximation numbers of composition operators on $H^2$, in terms of some modulus of continuity. For symbols whose image is contained in a polygon, we get that these approxim...