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math.AP2017
The refined impedance transform for 1D acoustic reflection data
Peter C. Gibson
The one dimensional wave equation serves as a basic model for imaging modalities such as seismic which utilize acoustic data reflected back from a layered medium. In 1955 Peterson…
math.AP2017
A scattering-based algorithm for wave propagation in one dimension
Peter C. Gibson
We present an explicit numerical scheme to solve the variable coefficient wave equation in one space dimension with minimal restrictions on the coefficient and initial data.