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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.
Structured Matrix Algorithms for Inverse Scattering on the Line / VAN DER MEE C; SEBASTIANO SEATZU; DANIELA THEIS. - 44(2007), pp. 59-88.
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| Titolo: | Structured Matrix Algorithms for Inverse Scattering on the Line |
| Autori: | |
| Data di pubblicazione: | 2007 |
| Rivista: | |
| Citazione: | Structured Matrix Algorithms for Inverse Scattering on the Line / VAN DER MEE C; SEBASTIANO SEATZU; DANIELA THEIS. - 44(2007), pp. 59-88. |
| 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 |
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