2 papers
math.NA2024
A global approach for the inverse scattering problem using a Carleman contraction map
Phuong M. Nguyen, Loc H. Nguyen, Huong T. T. Vu
This paper addresses the inverse scattering problem in the domain Omega. The input data, measured outside Omega, involve the waves generated by the interaction of plane waves with…
math.NA2023
Determining initial conditions for nonlinear hyperbolic equations with time dimensional reduction and the Carleman contraction
Trong D. Dang, Loc H. Nguyen, Huong T. T. Vu
This paper aims to determine the initial conditions for quasi-linear hyperbolic equations that include nonlocal elements. We suggest a method where we approximate the solution of t…