3 papers
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…
physics.geo-ph2025
Estimating properties of a homogeneous bounded soil using machine learning models
Konstantinos Kalimeris, Leonidas Mindrinos, Nikolaos Pallikarakis
This work focuses on estimating soil properties from water moisture measurements. We consider simulated data generated by solving the initial-boundary value problem governing verti…
math.AP2024
Rainfall infiltration: Direct and Inverse problems on a linear evolution equation
Konstantinos Kalimeris, Leonidas Mindrinos
Originating from the mathematical modelling of rainfall infiltration, we derive the solution of an initial-boundary value problem of a linear evolution partial differential equatio…