
doi: 10.1137/0909027
Some analysis and numerical evidence point to the fact that discretizations used in one-dimensional inverse problems of reflection seismology should fit the medium discontinuities if high order accuracy is desired. It is shown that for laterally homogeneous media for which discontinuities occur at off-mesh points, then only first order uniform accuracy can be obtained, independently of the order of the discretization.
Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs, medium discontinuities, Seismology (including tsunami modeling), earthquakes, reflection seismology, Applications to the sciences, Partial differential equations of mathematical physics and other areas of application, inverse problems
Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs, medium discontinuities, Seismology (including tsunami modeling), earthquakes, reflection seismology, Applications to the sciences, Partial differential equations of mathematical physics and other areas of application, inverse problems
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