Toward precise solution of one-dimensional velocity inverse problems
A family of one-dimensional inverse problems are considered with the goal of reconstructing velocity profiles to reasonably high accuracy. The travel-time variable change is used together with an iteration scheme to produce an effective algorithm for computation. Under modest assumptions the scheme is shown to be convergent.
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- Resource Type:
- Technical Report
- Research Org:
- Denver Univ., CO (USA). Dept. of Mathematics; General Motors Inst., Flint, MI (USA)
- Country of Publication:
- United States
- 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; ONE-DIMENSIONAL CALCULATIONS; NUMERICAL SOLUTION; ALGORITHMS; FOURIER TRANSFORMATION; ITERATIVE METHODS; VELOCITY; INTEGRAL TRANSFORMATIONS; MATHEMATICAL LOGIC; TRANSFORMATIONS 990200* -- Mathematics & Computers
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