Structured Matrix Algorithms for Inverse Scattering on the Line

VAN DER MEE, CORNELIS VICTOR MARIA;
2007-01-01

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.
2007
Inglese
CALCOLO
44
59
88
30
WOS:000247472100001
2-s2.0-34548767203
Esperti anonimi
VAN DER MEE, CORNELIS VICTOR MARIA; Sebastiano, Seatzu; Daniela, Theis
1.1 Articolo in rivista
info:eu-repo/semantics/article
1 Contributo su Rivista::1.1 Articolo in rivista
262
3
none
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