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.
Structured Matrix Algorithms for Inverse Scattering on the Line / VAN DER MEE C; SEBASTIANO SEATZU; DANIELA THEIS. - 44(2007), pp. 59-88.
Scheda prodotto non validato
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo
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 |