2024 journal article
The Carleman convexification method for Hamilton-Jacobi equations
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 159, 173–185.
2024 journal article
The Carleman-Newton method to globally reconstruct the initial condition for nonlinear parabolic equations
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 445.
2024 journal article
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.
2023 article
A Carleman-Picard approach for reconstructing zero-order coefficients in parabolic equations with limited data
2023 article
Numerical differentiation by the polynomial-exponential basis
2023 article
Numerical verification of the convexification method for a frequency-dependent inverse scattering problem with experimental data
2023 article
The dimensional reduction method for solving a nonlinear inverse heat conduction problem with limited boundary data
2023 article
The time dimensional reduction method to determine the initial conditions without the knowledge of damping coefficients
2022 journal article
A Carleman-based numerical method for quasilinear elliptic equations with over-determined boundary data and applications
Computers & Mathematics with Applications, 125, 13–24.
2022 journal article
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.
Contributors: T. Le * & L. Nguyen *
2022 journal article
Carleman contraction mapping for a 1D inverse scattering problem with experimental time-dependent data
Inverse Problems, 38(4).
2022 article
Global reconstruction of initial conditions of nonlinear parabolic equations via the Carleman-contraction method
ArXiv.
2022 article
The Carleman convexification method for Hamilton-Jacobi equations on the whole space
ArXiv.
2022 article
The Carleman-Newton method to globally reconstruct a source term for nonlinear parabolic equation
2022 journal article
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).
Contributors: & L. Nguyen * *
2021 article
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
2021 journal article
The Quasi-reversibility Method to Numerically Solve an Inverse Source Problem for Hyperbolic Equations
Journal of Scientific Computing, 87(3).
Contributors: , L. Nguyen *, T. Nguyen * & W. Powell* *
2020 journal article
Numerical solution of a linearized travel time tomography problem with incomplete data
SIAM Journal on Scientific Computing, 42(5), B1173–B1192.
Updated: October 10th, 2023 09:58
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