Convexification Numerical Method for a Coefficient Inverse Problem for the Radiative Transport Equation-Reference-Cited by-同舟云学术

Convexification Numerical Method for a Coefficient Inverse Problem for the Radiative Transport Equation

Published:2023-01-19 Issue:1 Volume:16 Page:35-63
ISSN:1936-4954
Container-title:SIAM Journal on Imaging Sciences
language:en
Short-container-title:SIAM J. Imaging Sci.

Author:

Klibanov Michael V.¹,Li Jingzhi²^ORCID,Nguyen Loc H.¹^ORCID,Yang Zhipeng³^ORCID

Affiliation:

1. Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223 USA.

2. Corresponding author. Department of Mathematics, National Center for Applied Mathematics Shenzhen, SUSTech International Center for Mathematics, Southern University of Science and Technology, Shenzhen 518055, People’s Republic of China.

3. Department of Mathematics, Southern University of Science and Technology, Shenzhen 518055, People’s Republic of China.

Funder

National Science Foundation

University of North Carolina at Charlotte

National Natural Science Foundation of China

Guangdong National Science Foundation

Shenzhen Sci-Tech Fund

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,General Mathematics

Reference34 articles.

1. Carleman weight functions for a globally convergent numerical method for ill-posed Cauchy problems for some quasilinear PDEs

2. Generalized stability estimates in inverse transport theory

3. Inverse Source Problems in Transport Equations

4. Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems

5. Principles of Optics

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