Corrigendum and addendum: modeling weakly nonlinear acoustic wave propagation

Compact finite difference modeling of 2-D acoustic wave propagation

We present two fourth-order compact finite difference (CFD) discretizations of the velocity-pressure formulation of the acoustic wave equation in 2-D rectangular grids. The first method uses standard implicit CFD on nodal meshes and requires solving tridiagonal linear systems along each grid line, while the second scheme employs a novel set of mimetic CFD operators for explicit differentiation ...

Time domain modeling of acoustic propagation with acoustic wave propagator and absorbing boundary conditions

Error-propagation in weakly nonlinear inverse problems

In applications of inversion methods to real data, nonlinear inverse problems are often simpli ed to more easily solvable linearized inverse problems. By doing so one introduces an error made by the linearization. Nonlinear inverse methods are more accurate because the methods that are used are more correct from a physical point of view. However, if data are used that have a statistical error, ...

Adaptive Wave Propagation Modeling

This paper discusses several current attempts to use acoustic and electromagnetic wave propagation for modeling physical phenomena and the role that wavelet analysis is playing in these eeorts. The rst problem involves recent application of wavelets to computational uid dynamics. The second problem involves geophysical modeling of the ocean oor, using acoustic waves, and wavelets have recently ...

Wave group dynamics in weakly nonlinear long-wave models

Wave group dynamics is studied in the framework of the extended Korteweg-de Vries equation. The nonlinear Schrodinger equation is derived for weakly nonlinear wave packets, and the condition for modulational instability is obtained. It is shown that wave packets are unstable only for a positive sign of the coe cient of the cubic nonlinear term in the extended Korteweg-de Vries equation, and for...