Numerical methods in inverse problems
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Scope of this subject
This cluster of papers focuses on the mathematical theory and computational methods for solving inverse problems in various fields, including mathematical physics and imaging. It covers topics such as regularization methods, ill-posed problems, electrical impedance tomography, Calderón's problem, boundary value problems, inverse scattering theory, Tikhonov regularization, transmission eigenvalues, and numerical methods.
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Research vocabulary
inverse problems; ill-posed problems; inverse scattering; Tikhonov regularization; inverse heat conduction problem; regularization parameter selection; ill-posed inverse problems; inverse source problem; nonlinear inverse problems; stability estimates; boundary measurements; Dirichlet-to-Neumann map; inverse boundary value problem; iterative regularization; linear inverse problems; regularization methods; Fredholm integral equation of the first kind; inverse coefficient problem; discrepancy principle; coefficient identification; Carleman estimates; inverse conductivity problem; Cauchy data; integral equations of the first kind; nonlinear ill-posed problems
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Morton address: 36240764531255417 · morton4x16-v1
Coordinates: (3, 26, 2610, 11205). The address interleaves categorical identifier bits. Nearby addresses are not guaranteed to describe semantically similar subjects.
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