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Mathematics

D-Index
48
Citations
7947
World Ranking
1218
National Ranking
540

Overview

Michael V. Klibanov is affiliated with the University of North Carolina at Charlotte in the United States. Their research spans mathematics and engineering, with a focus on several main and subfields within these disciplines.

The main fields of study include:

  • Mathematics
  • Engineering

Subfields of particular interest are:

  • Mathematical Physics
  • Biomedical Engineering
  • Computational Theory and Mathematics
  • Applied Mathematics
  • Finance

The scientist's work covers numerous topics, such as:

  • Numerical methods in inverse problems
  • Microwave Imaging and Scattering Analysis
  • Advanced Mathematical Modeling in Engineering
  • Stochastic processes and financial applications
  • Stability and Controllability of Differential Equations
  • Differential Equations and Boundary Problems
  • Radiative Heat Transfer Studies

Michael V. Klibanov has published extensively, including papers such as:

  • "Convexification for a Three-Dimensional Inverse Scattering Problem with the Moving Point Source," 2020, SIAM Journal on Imaging Sciences
  • "Convexification for an inverse parabolic problem," 2020, Inverse Problems
  • "Hölder stability and uniqueness for the mean field games system via Carleman estimates," 2023, Studies in Applied Mathematics
  • "A Coefficient Inverse Problem for the Mean Field Games System," 2023, Applied Mathematics & Optimization
  • "Linear Lavrent'ev Integral Equation for the Numerical Solution of a Nonlinear Coefficient Inverse Problem," 2021, SIAM Journal on Applied Mathematics

Frequent publication venues include:

  • arXiv (Cornell University)
  • Inverse Problems
  • Journal of Inverse and Ill-Posed Problems
  • SIAM Journal on Imaging Sciences
  • Inverse Problems and Imaging

The scientist has collaborated often with:

  • Jingzhi Li
  • Loc H. Nguyen
  • Zhipeng Yang
  • Vo Anh Khoa
  • Thuy T. Le

Michael V. Klibanov authored a book titled Partial Differential Equations: Theory, Numerical Methods and Ill-Posed Problems published by Nova Publishers in 2022.

Best Publications

  • Carleman Estimates for Coefficient Inverse Problems and Numerical Applications

    Michael V. Klibanov;Alexander A. Timonov

  • Approximate Global Convergence and Adaptivity for Coefficient Inverse Problems

    Larisa Beilina;Michael Victor Klibanov

  • Inverse problems and Carleman estimates

    M V Klibanov

  • CARLEMAN ESTIMATES FOR GLOBAL UNIQUENESS, STABILITY AND NUMERICAL METHODS FOR COEFFICIENT INVERSE PROBLEMS

    Michael V. Klibanov

  • The phase retrieval problem

    M V Klibanov;P E Sacks;A V Tikhonravov

  • A computational quasi-reversiblility method for Cauchy problems for Laplace's equation

    Unknown

  • Stability estimates for ill-posed Cauchy problems involving hyperbolic equations and inequalities

    Mohammad A. Kazemi;Michael V. Klibanov

  • Global convexity in a three-dimensional inverse acoustic problem

    Michael V. Klibanov

  • A Globally Convergent Numerical Method for a Coefficient Inverse Problem

    Larisa Beilina;Michael V. Klibanov

  • Carleman estimates for the regularization of ill-posed Cauchy problems

    Michael V. Klibanov

  • Newton-Kantorovich method for three-dimensional potential inverse scattering problem and stability of the hyperbolic Cauchy problem with time-dependent data

    M V Klibanov;J Malinsky

  • RECONSTRUCTION PROCEDURES FOR TWO INVERSE SCATTERING PROBLEMS WITHOUT THE PHASE INFORMATION

    Michael V. Klibanov;Vladimir G. Romanov

  • Convexification of restricted Dirichlet-to-Neumann map

    Michael V. Klibanov

  • Phaseless inverse scattering and the phase problem in optics

    Michael V. Klibanov;Paul E. Sacks

  • The Quasi-Reversibility Method for Thermoacoustic Tomography in a Heterogeneous Medium

    Christian Clason;Michael V. Klibanov

  • Phaseless Inverse Scattering Problems in Three Dimensions

    Michael V. Klibanov

  • Method and apparatus for detecting an abnormality within a scattering medium

    Michael Victor Klibanov;Thomas Ramsey Lucas

  • Lipschitz stability of an inverse problem for an acoustic equation

    Michael V. Klibanov;Masahiro Yamamoto

  • Adaptivity with relaxation for ill-posed problems and global convergence for a coefficient inverse problem

    L. Beilina;M. V. Klibanov;M. Yu. Kokurin

  • Estimates of initial conditions of parabolic equations and inequalities via lateral Cauchy data

    Michael V Klibanov

  • A Globally Convergent Numerical Method for a Coefficient Inverse Problem with Backscattering Data

    Michael V. Klibanov;Andrey V. Kuzhuget;Natee Pantong

Frequent Co-Authors

Hongyu Liu
Hongyu Liu City University of Hong Kong
Robert R. Alfano
Robert R. Alfano City College of New York
Masahiro Yamamoto
Masahiro Yamamoto University of Tokyo
Heinz W. Engl
Heinz W. Engl University of Vienna
Barbara Kaltenbacher
Barbara Kaltenbacher University of Klagenfurt

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