Updated: June 17th, 2024 08:23

2024 journal article

The Carleman convexification method for Hamilton-Jacobi equations

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

Sources: ORCID, Web Of Science, NC State University Libraries

Added: February 15, 2024

2024 journal article

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

*JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS*, *445*.

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

Sources: ORCID, Web Of Science, NC State University Libraries

Added: February 10, 2024

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*.

Sources: Web Of Science, NC State University Libraries

Added: January 2, 2024

2024 journal article

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

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

UN Sustainable Development Goal Categories

3. Good Health and Well-being
(Web of Science)

13. Climate Action
(OpenAlex)

Sources: ORCID, Web Of Science, NC State University Libraries

Added: May 8, 2024

2023 article

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

Source: ORCID

Added: January 23, 2024

2023 article

Numerical differentiation by the polynomial-exponential basis

Source: ORCID

Added: January 23, 2024

2023 article

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

Source: ORCID

Added: January 23, 2024

2023 article

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

Source: ORCID

Added: January 23, 2024

2023 article

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

Source: ORCID

Added: January 23, 2024

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.

Source: ORCID

Added: January 23, 2024

2022 journal article

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

*Inverse Problems*, *38*(4).

Contributors: ^{*} , M. Klibanov ^{*}, L. Nguyen ^{*}, A. Sullivan^{*} & L. Nguyen ^{*}

Source: ORCID

Added: January 23, 2024

2022 article

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

*ArXiv*.

Source: ORCID

Added: January 23, 2024

2022 article

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

*ArXiv*.

Source: ORCID

Added: January 23, 2024

2022 article

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

Source: ORCID

Added: January 23, 2024

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 ^{*}

Source: ORCID

Added: January 23, 2024

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

Source: ORCID

Added: January 23, 2024

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^{*}

Source: ORCID

Added: January 23, 2024

2020 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 ^{*}

Source: ORCID

Added: January 23, 2024

2020 journal article

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

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

Source: ORCID

Added: January 23, 2024

Updated: October 10th, 2023 09:58

2023 - present

2020 - 2023

2019 - 2023

2012 - 2019

Updated: October 10th, 2023 09:58

2019 - 2023

2016 - 2018

2008 - 2012

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