most citedDetermining initial conditions for nonlinear hyperbolic equations with time dimensional reduction and the Carleman contraction

2 citations · 2 across the 2 of their papers we have counts for

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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★ 2 cited

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…