Thuy Le

A Carleman-Picard approach for reconstructing zero-order coefficients in parabolic equations with limited data

APPLIED MATHEMATICS AND COMPUTATION, 494.

The Carleman convexification method for Hamilton-Jacobi equations

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 159, 173–185.

The Carleman-Newton method to globally reconstruct the initial condition for nonlinear parabolic equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 445.

The Fourier-based dimensional reduction method for solving a nonlinear inverse heat conduction problem with limited boundary data

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 128.

The time dimensional reduction method to determine the initial conditions without the knowledge of damping coefficients

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 166, 77–90.

A Carleman-Picard approach for reconstructing zero-order coefficients in parabolic equations with limited data

Numerical differentiation by the polynomial-exponential basis

Numerical verification of the convexification method for a frequency-dependent inverse scattering problem with experimental data

The dimensional reduction method for solving a nonlinear inverse heat conduction problem with limited boundary data

The time dimensional reduction method to determine the initial conditions without the knowledge of damping coefficients

A Carleman-based numerical method for quasilinear elliptic equations with over-determined boundary data and applications

Computers & Mathematics with Applications, 125, 13–24.

A convergent numerical method to recover the initial condition of nonlinear parabolic equations from lateral Cauchy data

Journal of Inverse and Ill-Posed Problems, 30(2), 265–286.

Carleman contraction mapping for a 1D inverse scattering problem with experimental time-dependent data

Inverse Problems, 38(4).

Global reconstruction of initial conditions of nonlinear parabolic equations via the Carleman-contraction method

ArXiv.

The Carleman convexification method for Hamilton-Jacobi equations on the whole space

ArXiv.

The Carleman-Newton method to globally reconstruct a source term for nonlinear parabolic equation

The Gradient Descent Method for the Convexification to Solve Boundary Value Problems of Quasi-Linear PDEs and a Coefficient Inverse Problem

Journal of Scientific Computing, 91(3).

Convexification-based globally convergent numerical method for a 1D coefficient inverse problem with experimental data

ArXiv. http://www.scopus.com/inward/record.url?eid=2-s2.0-85106104061&partnerID=MN8TOARS

The Quasi-reversibility Method to Numerically Solve an Inverse Source Problem for Hyperbolic Equations

Journal of Scientific Computing, 87(3).

Numerical solution of a linearized travel time tomography problem with incomplete data

SIAM Journal on Scientific Computing, 42(5), B1173–B1192.