Nonlinear Frechet derivative and its De Wolf approximation

We introduce and derive the nonlinear Frechet derivative for the acoustic wave equation. It turns out that the high order Frechet derivatives can be realized by consecutive applications of the scattering operator and a zero-order propagator to the source. We prove that the higher order Frechet deri...

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Bibliographic Details
Main Authors: Wu, Ru-Shan, Zheng, Yingcai
Other Authors: Massachusetts Institute of Technology. Earth Resources Laboratory
Format: Technical Report
Language:en_US
Published: Massachusetts Institute of Technology. Earth Resources Laboratory 2014
Subjects:
Online Access:http://hdl.handle.net/1721.1/90474