The role of nonlinearity in inverse problems

DOI10.1088/0266-5611/14/3/003zbMath0913.65123OpenAlexW2116305582MaRDI QIDQ4209885

Roel Snieder

Publication date: 7 June 1999

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/75eab9dfd23c2c32c65177983b6eb7ebd4d04f2e

zbMATH Keywords

Schrödinger equationseismic tomographyill-posed problemnonlinear inverse problemsnonlinear error propagation

Mathematics Subject Classification ID

Inverse problems in geophysics (86A22) Radon transform (44A12) Numerical methods for integral transforms (65R10)

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Source characterization of atmospheric releases using stochastic search and regularized gradient optimization ⋮ Inverse design of anti-reflection coatings using the nonlinear approximate inverse ⋮ Four-dimensional variational data assimilation for Doppler radar wind data ⋮ Characterising the parameter space of a highly nonlinear inverse problem ⋮ The curse of dimensionality in inverse problems ⋮ Nonlinear phase-resolved reconstruction of irregular water waves

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