THE DEVELOPMENT OF STUDENTS APPLIED MATHEMATICAL THINKING IN TEACHING INVERSE AND ILL-POSED PROBLEMS
RUDN Journal of Informatization in Education, 2017 In the article the author draws the reader’s attention to the fact that, while mastering the process of learning the theory and methodology of inverse and ill-posed problems, students not only form the fundamental knowledge in the field of inverse and ...
V S Kornilov
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Геофизический журнал, 2020 In geophysical inverse problems, there are two approaches to data inversion. The first is the search for a number of unknowns by minimizing the residual function.
T.N. Kyshman-Lavanova
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Subsonic near-surface P-velocity and low S-velocity observations using propagator inversion [PDF]
, 2005 Detailed knowledge of near-surface P- and S-wave velocities is important for processing and interpreting multicomponent land seismic data because (1) the entire wavefield passes through and is influenced by the near-surface soil conditions, (2) both ...
Curtis, A., Trampert, J., van Vossen, R.
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Geomagnetic reversals at the edge of regularity
Physical Review Research, 2021 Geomagnetic field reversals remain as one of the most intriguing problems in geophysics and are regarded as chaotic processes resulting from a dynamo mechanism.
Breno Raphaldini +4 more
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Surface-consistent amplitude corrections for single or multicomponent sources and receivers using reciprocity and waveform inversion [PDF]
, 2006 In land seismics, near-surface conditions often vary within surveys, resulting in differences in source strength and signature. Furthermore, discrepancies between closely spaced recordings are also commonly observed.
A. Curtis +32 more
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Physical Review Research, 2021 The Marchenko integral, key to inverse scattering problems across many disciplines, is a long-standing equation that relates single-sided reflection data and Green's functions for virtual source locations inside of an inaccessible, one-dimensional volume.
Leon Diekmann, Ivan Vasconcelos
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Some thoughts on the use of InSAR data to constrain models of surface deformation: Noise structure and data downsampling [PDF]
, 2005 Repeat-pass Interferometric Synthetic Aperture Radar (InSAR) provides spatially dense maps of surface deformation with potentially tens of millions of data points. Here we estimate the actual covariance structure of noise in InSAR data.
Lohman, Rowena B., Simons, Mark
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Two-stage estimation in inverse problems using a combined wavelet thresholding and penalized maximum likelihood [PDF]
, 2017 Inverse problems occur in a wide range of practical scientific investigations where the variables of interest are only observed indirectly, such as magnetic and seismic imaging in geophysics, electrical tomography in industrial process monitoring, or PET
Aljohani, H, Aykroyd, RG
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Stable determination of polyhedral interfaces from boundary data for the Helmholtz equation [PDF]
, 2014 We study an inverse boundary value problem for the Helmholtz equation using the Dirichlet-to-Neumann map as the data. We consider piecewise constant wavespeeds on an unknown tetrahedral partition and prove a Lipschitz stability estimate in terms of the ...
Beretta, Elena +3 more
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A new phase space method for recovering index of refraction from travel times [PDF]
, 2007 We develop a new phase space method for reconstructing the index of refraction of a medium from travel time measurements. The method is based on the so-called Stefanov–Uhlmann identity which links two Riemannian metrics with their travel time information.
Chung, Eric +3 more
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