Scattering by a potential using hyperbolic methods

Alvin Bayliss, Yanyan Li, Cathleen S. Morawetz*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)321-338
Number of pages18
JournalMathematics of Computation
Volume52
Issue number186
DOIs
StatePublished - Apr 1989

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Computational Mathematics
  • Applied Mathematics

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