Convergence estimates of the Tikhonov-type regularized solutions for the time-domain fluorescence diffuse optical tomography
DOI10.1016/j.aml.2024.109353MaRDI QIDQ6656536
Publication date: 3 January 2025
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Numerical optimization and variational techniques (65K10) PDEs in connection with optics and electromagnetic theory (35Q60) Biomedical imaging and signal processing (92C55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Diffraction, scattering (78A45) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Lasers, masers, optical bistability, nonlinear optics (78A60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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- Uniqueness and numerical inversion in the time-domain fluorescence diffuse optical tomography
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