The paper is devoted to development of the laser ektacytometry technique for evaluation of
the statistical characteristics of inhomogeneous ensembles of red blood cells (RBCs). We …

The paper introduces a three-dimensional model to derive the spatial patterns of
photosynthetically active radiation (PAR) reflected and absorbed by a non-uniform forest …

Reconstructing the homogenized coefficient, which is also called the G-limit, in elliptic
equations involving heterogeneous media is a typical nonlinear ill-posed inverse problem …

A new second-order dynamic method (SODM) is proposed for solving ill-posed linear
inverse problems in Hilbert spaces. The SODM can be viewed as a combination of Tikhonov …

We present an approach for solving optimization problems with or without constrains which
we call Dynamical Functional Particle Method (DFMP). The method consists of formulating …

We consider a one-dimensional one-phase inverse Stefan problem for the heat equation. It
consists in recovering a boundary influx condition from the knowledge of the position of the …

In this paper, we propose two parameter choice rules for the discretizing Tikhonov
regularization via multiscale Galerkin projection for solving linear ill-posed integral …

Function space properties of the Cauchy transform on the Sierpinski gasket Page 1 http://www.aimspress.com/journal/Math
AIMS Mathematics, 8(3): 6064–6073. DOI: 10.3934/math.2023306 Received: 23 October …

This article is devoted to a Lagrange principle application to an inverse problem of a two-
dimensional integral equation of the first kind with a positive kernel. To tackle the ill …

We present a numerical Tikhonov regularization method that can be used to reconstruct past
ground surface temperature (GST) records from borehole temperatures. The present ground …