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math.NA2025
Inverse initial data reconstruction for Maxwell's equations via time-dimensional reduction method
Thuy T. Le, Cong B. Van, Trong D. Dang +1
We study an inverse problem for the time-dependent Maxwell system in an inhomogeneous and anisotropic medium. The objective is to recover the initial electric field …
math.NA2025
Recovery of initial displacement and velocity in anisotropic elastic systems by the time dimensional reduction method
Trong D. Dang, Chanh V. Le, Khoa D. Luu +1
We introduce a time-dimensional reduction method for the inverse source problem in linear elasticity, where the goal is to reconstruct the initial displacement and velocity fields…
math.NA2024
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…