This paper exhibits a numerical method for solving general fractional optimal control
problems involving a dynamical system described by a nonlinear Caputo fractional …

In this paper, we present a numerical simulation of a convection-dominated problem using
adaptive wavelet collocation method. This is based on second-generation spherical …

This work presents a new adaptive multilevel approximation of the gradient operator on a
recursively refined spherical geodesic grid. The multilevel structure provides a simple way to …

Image restoration is a fundamental means to process the bottom layer of the image for the
purpose of improving the visual effect of the original image and the denoising so as to …

In this work, a new adaptive multi-level approximation of surface divergence and scalar-
valued surface curl operator on a recursively refined spherical geodesic grid is presented. A …

In this paper, we present a dynamically adaptive wavelet method for solving Schrodinger
equation on one-dimensional, two-dimensional and on the sphere. Solving one-dimensional …

Wavelet analysis has been widely applied in many fields such as image processing as well
as signal representation and analysis with its unique characteristics of time-frequency …

The good time-frequency localization and layered space structure make the wavelet more
and more widely adopted in fields of the numerical analysis and image processing …