A numerical resolution of the Gelfand-Levitan equation

DOI10.1016/0377-0427(95)00275-8zbMath0859.65138OpenAlexW1974096367MaRDI QIDQ1923454

Bui Doan Khanh

Publication date: 13 November 1996

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00275-8

zbMATH Keywords

Fredholm integral equationsnumerical examplespredictor-corrector schemeGelfand-Levitan equationinverse scatteringinverse Sturm-Liouville problem

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Inverse scattering problems in quantum theory (81U40) Fredholm integral equations (45B05) Inverse problems involving ordinary differential equations (34A55) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Cites Work

• Unnamed Item
• A computation of Fermi-Dirac integrals by asymptotics and the Hermite corrector formula
• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• Numerical solution of the Gel'fand-Levitan equation
• Reflectionless Transmission through Dielectrics and Scattering Potentials
• Inverse scattering—exact solution of the Gel’fand-Levitan equation
• An Example of the Effect of Rescaling of the Reflection Coefficient on the Scattering Potential for the One-Dimensional Schrodinger Equation

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