The field of optimal control in partial differential equations (PDEs) focuses on determining the best possible control strategies to influence systems described by PDEs and to achieve specific ...

Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical approximation of these equations ...

Observations on nodal and loop analysis that can save a fair amount of scribbling of equations when using Kirchhoff's laws. In a previous Idea for Design, Anshi Chen outlined a method for analyzing ...

The quadrature method for singular integral equations with Cauchy kernels on the arc (-1,1) is investigated, and a comprehensive theory of this method's convergence in the continuous maximum norm is ...

The goal of this three-part series of articles is to provide readers with an in-depth understanding of gain accuracy in closed-loop circuits using two of the most common operational amplifier (op amp) ...

General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties ...