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We study the nonrelativistic limit of the cubic Klein-Gordon equations. We show the cubic Klein-Gordon equation converges to the cubic Schr\"odinger equation with a convergence rate of order $\epsilon...
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...
Exponentialconvergence rates in the L2-tail norm and entropy are characterized forthe second quantization semigroups by using the corresponding baseDirichlet form. This supplements the well known resu...
Abstract: In this paper we derive higher order convergence rates in terms of the Bregman distance for Tikhonov like convex regularisation for linear operator equations on Banach spaces. The approach i...
We consider the nonparametric regression estimation problem of recovering an unknown response function $f$ on the basis of incomplete data when the design points follow a known density $g$ with a fini...
Abstract: This paper presents adaptive boundary element methods for positive, negative, as well as zero order operator equations, together with proofs that they converge at certain rates. The converge...
Exponential convergence rates in the L2-tail norm and entropy are characterized for the second quantization semigroups by using the corresponding base Dirichlet form. This supplements the well known r...
For partial sums {S,) of a stationary ergodic sequence {X,} with zero mean we find conditions for m ny-'Pr {sup (S Jk) > E ] < m n= 1 k?n in terms of the strong mixing weficients {a,,) and moment...
We prove the Marcinkiewicz-Zygmund SLLN (MZ- -SLLN) of order p, ~ € 1 12,[ , br associated sequences, not necessarily stationary. Our assumption on the moment of the random variables is minimal. We...
In this paper we present new suficient conditions for complete convergence for $urns of arrays of rowwise independent random variables. These conditions appear to be necessary and sufficient in the...
We apply the theory of finite difference equations to the central limit theorem, using interpolation of Banach spaces and Fourier multipliers. Let S,T be a normalized sum of i.i.d. random vectors, ...
We state and prove a simple quantitative bound on the total variation distance after k iterations between two Markov chains with different initial distributions but identical transition probabilities....
In this note some numerical experiments to illustration for convergence rates of regularized solution for ill-posed inverse-strongly monotone mixed variational inequalities are presented.

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