In this paper, a new asymptotic-numerical approach to solving an inverse boundary value
problem for a nonlinear singularly perturbed parabolic equation with time-periodic …

Asymptotic-numerical approach to solving the coefficient inverse problem for a nonlinear
singularly perturbed two-dimensional reaction–diffusion equation by knowing the location of …

The coefficient inverse problem for the two-dimensional wave equation is solved. We apply
the Gelfand–Levitan approach to transform the nonlinear inverse problem to a family of …

The coefficient inverse problem for the acoustic equation is considered. We propose the
method for reconstructing the density based on the N-approximation by the finite system of …

A new version of the convexification method is developed analytically and tested
numerically for a 1D coefficient inverse problem in the frequency domain. Unlike the …

In this paper, we consider the Gelfand–Levitan–Marchenko–Krein approach. It is used for
solving a variety of inverse problems, like inverse scattering or inverse problems for wave …

We investigate the mathematical model of the 2D acoustic waves propagation in a
heterogeneous domain. The hyperbolic first order system of partial differential equations is …

We investigate the mathematical modeling of the 2D acoustic waves propagation, based on
the conservation laws. The hyperbolic first-order system of partial differential equations is …

An-D coefficient inverse problem for the stationary radiative transport equation is considered
for the first time. A globally convergent so-called convexification numerical method is …

We consider the coefficient inverse problem for the 2D acoustic equation. The problem is
recovering the speed of sound in the medium (which depends only on the depth) and the …