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EnglishIn this article the Marchenko integral equations leading to the solution of the inverse scattering problem for the 1-D Schrödinger equation on the line are solved numerically. The linear system obtained by discretization has a structured matrix which allows one to apply FFT based techniques to solve the inverse scattering problem with minimal computational complexity. The numerical results agree with exact solutions when available. A proof of the convergence of the discretization scheme is given.
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| Titolo: | Structured Matrix Algorithms for Inverse Scattering on the Line | |
| Autori: | ||
| Data di pubblicazione: | 2007 | |
| Rivista: | ||
| Abstract: | In this article the Marchenko integral equations leading to the solution of the inverse scattering problem for the 1-D Schrödinger equation on the line are solved numerically. The linear system obtained by discretization has a structured matrix which allows one to apply FFT based techniques to solve the inverse scattering problem with minimal computational complexity. The numerical results agree with exact solutions when available. A proof of the convergence of the discretization scheme is given. | |
| Handle: | http://hdl.handle.net/11584/19911 | |
| Tipologia: | 1.1 Articolo in rivista |
File in questo prodotto:
http://hdl.handle.net/11584/19911
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