Seismic modelingSeismic modeling

By José M. Carcione, G. Herman, A. ten Kroode. 2002

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Lax‐Wendroff and Nyström methods for seismic modelling (2009, methodology): “Lax-Wendroff methods produce high-order time discretizations by using spatial derivatives to replace high-order temporal derivatives (Dablain 1986; Carcione et al. 2002).”
A stability formula for Lax-Wendroff methods with fourth-order in time and general-order in space for the scalar wave equation (2011, methodology): “Based on Taylor expansions, Lax-Wendroff methods use spatial derivatives to replace temporal derivatives of high order (Dablain, 1986; Carcione et al., 2002; Chen, 2007, 2009).”
Grid dispersion and stability criteria of some common finite-element methods for acoustic and elastic wave equations (2007, background): “This has been noted for both FDM Emerman et al., 982; Carcione et al., 2002 and FEM Mulder, 1999; Cohen, 2002 . he size of the time step is bounded by a stability criterion which is n important factor affecting the accuracy of the results.”
An overview of full-waveform inversion in exploration geophysics (2009, background): “Weusematrixnotationstodenote the partial-differential operators of the wave equation (cid:1) Marfurt, 1984; Carcione et al., 2002 (cid:2) .”