
doi: 10.1137/0722056
Application of an impulse plane wave in pressure onto the surface of a piecewise smooth, stratified elastic half-space leads to the system of differential equations \(\zeta (x)w_ t+p_ x=0,\quad p_ t+\zeta (x)w_ x=0,\quad x\geq 0,\quad -\infty
second order accurate equation, Inverse problems for waves in solid mechanics, second order convergence, impedance profile, Stability and convergence of numerical methods for boundary value problems involving PDEs, ramp response, Gopinath-Sondhi integral equation method, theory of geometrical acoustics, Numerical and other methods in solid mechanics, reflection seismology, method of downward continuation, step response, surface, piecewise smooth, stratified elastic half-space, impulse plane wave, one-dimensional inverse problem, second order difference schemes
second order accurate equation, Inverse problems for waves in solid mechanics, second order convergence, impedance profile, Stability and convergence of numerical methods for boundary value problems involving PDEs, ramp response, Gopinath-Sondhi integral equation method, theory of geometrical acoustics, Numerical and other methods in solid mechanics, reflection seismology, method of downward continuation, step response, surface, piecewise smooth, stratified elastic half-space, impulse plane wave, one-dimensional inverse problem, second order difference schemes
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