This is the second post (here’s the first one) about an approach to introducing the derivative to calculus students that is counter to what I’ve seen in textbooks and other traditional treatments of ...

Abstract: We demonstrate that higher order Fréchet derivatives are not negligible and the linear Fréchet derivative may not be appropriate in many cases, especially when forward scattering is involved ...

ABSTRACT: Fractal geometry provides a new insight to the approximation and modelling of experimental data. We give the construction of complete cubic fractal splines ...

Abstract: The power flow equations are central to many problems in power system planning, analysis, and control. However, their inherent non-linearity and non-convexity present substantial challenges ...

Over recent decades, approximation theory has evolved to incorporate sophisticated operator-based techniques that extend classical sampling methods. Central to these developments is the use of ...