22 citations · 26 across the 9 of their papers we have counts for
5 papers · 1 filter
Wavelets on Intervals Derived from Arbitrary Compactly Supported Biorthogonal Multiwavelets
Bin Han, Michelle Michelle
(Bi)orthogonal (multi)wavelets on the real line have been extensively studied and employed in applications with success. A lot of problems in applications are defined on bounded in…
Dirac Assisted Tree Method for 1D Heterogeneous Helmholtz Equations with Arbitrary Variable Wave Numbers
Bin Han, Michelle Michelle, Yau Shu Wong
In this paper we introduce a new method called the Dirac Assisted Tree (DAT) method, which can handle 1D heterogeneous Helmholtz equations with arbitrarily large variable wave numb…
Equidistributions of mesh patterns of length two and Kitaev and Zhang's conjectures
Bin Han, Jiang Zeng
A systematic study of avoidance of mesh patterns of length 2 was conducted by Hilmarsson et al. in 2015. In a recent paper Kitaev and Zhang examined the distribution of the aforeme…
Microlocal analysis and characterization of Sobolev wavefront sets using shearlets
Bin Han, Swaraj Paul, Niraj K. Shukla
Sobolev wavefront sets and -microlocal spaces play a key role in describing and analyzing the singularities of distributions in microlocal analysis and solutions of partial diff…
Compactly Supported Quasi-tight Multiframelets with High Balancing Orders and Compact Framelet Transforms
Bin Han, Ran Lu
Framelets (a.k.a. wavelet frames) are of interest in both theory and applications. Quite often, tight or dual framelets with high vanishing moments are constructed through the popu…