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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars£ºNonrelativistic limit of the Klein-Gordon equations: convergence rates and long time approximations
¿ËÀ³Òò-¸êµÇ·½³Ì ·ÇÏà¶ÔÂÛ¼«ÏÞ ÊÕÁ²ÂÊ ³¤Ê±¼ä½üËÆ
2023/4/18
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...
Exponential convergence rates of second quantization semigroups and applications
Convergence rate tail norm entropy second quantization
2011/11/4
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...
Variational Inequalities and Improved Convergence Rates for Tikhonov Regularisation on Banach Spaces
Variational Inequalities Improved Convergence Rates Tikhonov Regularisation Optimization and Control
2011/9/5
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...
Nonparametric Regression Estimation with Incomplete Data: Minimax Global Convergence Rates and Adaptivity
Adaptivity Besov spaces inhomogeneous data minimax estimation
2011/7/6
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...
Adaptive boundary element methods with convergence rates
Adaptive boundary element methods convergence rates Numerical Analysis
2011/8/24
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...
Propagation of Localization Optimal Entropy Production and Convergence rates for the Central Limit Theorem
Localization Optimal Entropy Production Convergence rates the Central Limit Theorem
2011/7/27
Propagation of Localization Optimal Entropy Production and Convergence rates for the Central Limit Theorem.
Exponential Convergence Rates of Second Quantization Semigroups and Applications
Convergence rate tail norm entropy second quantization L´ evy processes
2011/2/28
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...
Convergence rates in the strong law of large numbers for sums of random variables with multidimensional indices
Convergence rates random variables with multidimensional indices
2009/9/23
Convergence rates in the strong law of large numbers for sums of random variables with multidimensional indices¡£
A note on convergence rates in the strong law for strong mixing sequences
convergence rates the strong law for strong mixing sequences
2009/9/22
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...
Convergence rates in the strong law for associated random variables
Convergence rates in the strong law associated random variables
2009/9/22
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...
CONVERGENCE RATES IN THE LAW OF LARGE NUMBERS FOR ARRAYS
Arrays of rowwise independent random variables complete convergence
2009/9/18
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...
FINITE DIFFERENCE EQUATIONS AND CONVERGENCE RATES IN THE CENTRAL LIMIT THEOREM
Finite difference equations central limit theorem convergence rate interpolation theory
2009/9/18
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,
...
Quantitative Convergence Rates of Markov Chains: A Simple Account
Markov chain convergence rate mixing time drift condition minorisation condition total variation distance
2009/4/29
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....
Numerical results of convergence rates in regularization for ill-posed mixed variational inequalities
Monotone operators hemi-continuous strictly convex Banach space
2010/9/10
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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