A numerical solution to the Gel'fand-Levitan-Marchenko equation

DOI10.1016/S0096-3003(97)81646-3zbMath0907.65127MaRDI QIDQ1126626

Mohsen Razzaghi, Falih H. Ahmad

Publication date: 4 March 1999

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

zbMATH Keywords

inverse problemnumerical examplesinverse scatteringGel'fand-Levitan-Marchenko integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Inverse problems for PDEs (35R30) Inverse scattering problems in quantum theory (81U40) Applications to the sciences (65Z05) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (1)

Block Toeplitz inner-bordering method for the Gelfand-Levitan-Marchenko equations associated with the Zakharov-Shabat system

Cites Work

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• Approximate solution to the Gel'fand-Levitan equation
• On the determination of a differential equation from its spectral function
• The inverse scattering problem when the reflection coefficient is a rational function
• Novel applications of an approximate profile inversion for one-dimensional medium
• Analytical and numerical solution to the two-potential Zakharov-Shabat inverse scattering problem

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