Wavelet analysis is a new method called 'numerical microscope'in signal and image
processing. It has the desirable advantages of multi-resolution properties and various basis …

The quantitative study of many physical problems ultimately boils down to solving various
partial differential equations (PDEs). Wavelet analysis, known as the “mathematical …

A novel method of combination of wavelet‐based boundary element method (WBEM) with
frequency‐independent fundamental solutions is proposed to determine the band structures …

A novel method is presented to determine the band structures of two-dimensional solid-solid
and fluid-fluid phononic crystals (PCs) with square and triangular lattices using the wavelet …

The advantages of the multiresolution finite wavelet domain method in terms of convergence
speed and solution localization capabilities have been demonstrated in dynamic simulations …

The boundary element method (BEM) is presented to calculate the band-structure of three-
dimensional fluid/fluid and solid/solid phononic crystals first time. The frequency …

An explicitly-sparse representation for oscillatory kernels is presented in this work by
developing a wave atom based method. Multilevel wave atom-like functions are constructed …

In the boundary element method (BEM), the Galerkin weighting technique allows to obtain
numerical solutions of a boundary integral equation (BIE), giving the Galerkin boundary …

A wavelet-based boundary element method is employed to calculate the band structures of
two-dimensional phononic crystals, which are composed of square or triangular lattices with …

A nearly optimal explicitly-sparse representation for oscillatory kernels is presented in this
work by developing a curvelet based method. Multilevel curvelet-like functions are …