This paper aims to analyze a novel localized radial basis function method known as
the'direct RBF-based partition of unity method'for solving nonlinear fractional parabolic …

Learning-based general segmentation methods have demonstrated outstanding
performance across many problems in the field of computer vision, showcasing a certain …

This article introduces a broad formulation of fractional optimal control issues characterized
by a class of Caputo fractional systems within Hilbert spaces. Through a variational method …

In this article we present an adaptive residual subsampling scheme designed for kernel
based interpolation. For an optimal choice of the kernel shape parameter we consider some …

Variably scaled kernels and mapped bases constructed via the so-called fake nodes
approach are two different strategies to provide adaptive bases for function interpolation. In …

The efficacy of interpolating via Variably Scaled Kernels (VSKs) is known to be dependent
on the definition of a proper scaling function, but no numerical recipes to construct it are …

In this paper, we address a data dependent modification of the moving least squares (MLS)
problem. We propose a novel approach by replacing the traditional weight functions with …