Aim: Multiple sclerosis (MS) is a disease, which can affect the brain and/or spinal cord,
leading to a wide range of potential symptoms. This method aims to propose a novel MS …

Standard interpolatory subdivision schemes and their underlying interpolating refinable
functions are of interest in CAGD, numerical PDEs, and approximation theory. Generalizing …

Factorization of matrices of Laurent polynomials plays an important role in mathematics and
engineering such as wavelet frame construction and filter bank design. Wavelet frames (aka …

Employing a matrix mask, a vector subdivision scheme is a fast iterative averaging algorithm
to compute refinable vector functions for wavelet methods in numerical PDEs and to produce …

Hydrogen in hydrogenation station has characteristics of high pressure, flammability and
explosion. Once a fire or explosion accident occurs, it will bring huge economic losses and …

The Helmholtz equation is challenging to solve numerically due to the pollution effect, which
often results in a huge ill-conditioned linear system. In this paper, we present a high order …

This paper introduces a wavelet Galerkin method for solving two-dimensional elliptic
interface problems of the form in $-\nabla\cdot (a\nabla u)= f $ in $\Omega\backslash …

Check valves are key components required to ensure that fluid flows in one direction.
Internal cross-port leakage is a common fault that affects the service performance of check …

Subdivision schemes are closely related to splines and wavelets and have numerous
applications in CAGD and numerical differential equations. Subdivision schemes employ a …

Stationary subdivision schemes have been extensively studied and have numerous
applications in CAGD and wavelet analysis. To have high-order smoothness of the scheme …