Structured matrix algorithms for inverse scattering on the line

Autor:	Daniela Theis, Cornelis van der Mee, Sebastiano Seatzu
Rok vydání:	2007
Předmět:	Marchenko equation Computational Mathematics Matrix (mathematics) Algebra and Number Theory Inverse scattering transform Discretization Inverse scattering problem Mathematical analysis Quantum inverse scattering method Inverse problem Integral equation Mathematics
Zdroj:	Calcolo. 44:59-87
ISSN:	1126-5434 0008-0624
DOI:	10.1007/s10092-007-0129-9
Popis:	In this article the Marchenko integral equations leading to the solution of the inverse scattering problem for the 1-D Schrodinger 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. Keywords Structured matrix systems, 1-D inverse scattering, Marchenko integral equation
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::eefb054d7d4a16dbfe9b00ca0ae44d65 https://doi.org/10.1007/s10092-007-0129-9 Zobrazit plný text záznamu Plný text ve formátu PDF