3 papers
math.AP2026
The unified transform for Burgers' equation: Application to unsaturated flow in finite interval
Konstantinos Kalimeris, Leonidas Mindrinos, Athanasios Paraskevopoulos
In this paper, we focus on one-dimensional vertical infiltration, assuming constant diffusivity and a quadratic relationship between hydraulic conductivity and water content. Under…
math.AP2025
Estimating parameters of the diffusion model via asymptotic expansions
Konstantinos Kalimeris, Leonidas Mindrinos
A broad class of inverse problems deals with determining certain parameters, from measurement data, in models which are associated to certain partial differential equations. In thi…
math.NA2025
Inverse Electromagnetic Scattering for Doubly-Connected Cylinders using Convolutional Neural Networks
Leonidas Mindrinos, Nikolaos Pallikarakis, Nikolaos L Tsitsas
In this work, we consider the inverse electromagnetic scattering problem for a magneto-dielectric cylinder covering an impedance cylinder of arbitrary shape. We solve it by introdu…