Supported by the Natural Science Foundation of Beijing(No.1082003).
This paper deals with the design and analysis of adaptive wavelet method for the Stokes problem. First, the limitation of Richardson iteration is explained and the multiplied matrix M0 in the paper of Bramble and Pasc...
The refinability and approximation order of finite element multi-scale vector are discussed in [1]. But the coefficients in the conditions of approximation order of finite element multi-scale vector are incorrect ther...
the National Natural Science Foundation of China (No.19571010).
Wavelets are applied to detect the jumps in a heteroscedastic regression model. By the empirical wavelet coefficients of the conditional mean and the conditional variance of the time series under consideration, it is ...
Wavelets are applied to a regression model with an additive stationary noise. By checking the empirical wavelet coefficients with significantly large absolute values across fine scale levels, the jump points are detec...
Given a multiresolution analysis of multidimension, we construct pre-wavelets and a Rieszwavelet basis under some assumptions on the scale function. Example are provided.