## Scattering by a potential using hyperbolic methods

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- by Alvin Bayliss, Yan Yan Li and Cathleen Synge Morawetz PDF
- Math. Comp.
**52**(1989), 321-338 Request permission

## Abstract:

This is a preliminary note on a numerical time-dependent approach to the inverse scattering problem where the data given is back scattering. The results in one space variable are both computed and are quite comparable to the best existing results. A corresponding algorithm is developed for two variables. A major stage is the computation of the forward problem for the wave equation with potential and with an incoming plane wave. Interesting developments are a boundary layer next to the propagating delta function and effective resolution of the scattered wave. It is assumed there are no bound states.## References

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## Additional Information

- © Copyright 1989 American Mathematical Society
- Journal: Math. Comp.
**52**(1989), 321-338 - MSC: Primary 65M99; Secondary 65N99, 81F99
- DOI: https://doi.org/10.1090/S0025-5718-1989-0958869-1
- MathSciNet review: 958869