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Applicable Analysis
An International Journal
Volume 13, 1982 - Issue 4
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Original Articles

Stability for the one dimensional inverse problem via the gel’fand-levitan equation

Pages 271-277 | Published online: 10 May 2007

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Read on this site (2)

Robert Carroll & Stanley Dolzycki. (1986) Transmutation for systems by spectral methods. Applicable Analysis 23:3, pages 185-208.
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Robert Carroll. (1983) Partial differential equation techniques in transmutation. Applicable Analysis 17:1, pages 51-62.
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Articles from other publishers (16)

Vladislav V. Kravchenko & Víctor A. Vicente‐Benítez. (2022) Series representation for the Jost solution of the Sturm‐Liouville equation in impedance form. Mathematical Methods in the Applied Sciences 46:2, pages 2840-2868.
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Andreas Tataris & Tristan van Leeuwen. (2022) A Regularised Total Least Squares Approach for 1D Inverse Scattering. Mathematics 10:2, pages 216.
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Kamal Rashedi & Mourad Sini. (2015) Stable recovery of the time-dependent source term from one measurement for the wave equation. Inverse Problems 31:10, pages 105011.
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A. K. M. Sarwar & K. W. Holladay. 1992. Theory and Practice of Geophysical Data Inversion. Theory and Practice of Geophysical Data Inversion 179 190 .
A. K. M. Sarwar. (2012) Impedance inversion experiments with simulated data. Journal of Geophysical Research: Solid Earth 96:B5, pages 7947-7960.
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Robert Carroll, George Delic & R. P. Gilbert. (1989) Some remarks on Newton-Sabatier methods. Mathematical Methods in the Applied Sciences 11:1, pages 43-63.
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Robert Carroll & Louise Raphael. (1988) Some Inverse Problems with Spectral Limitations on Data. SIAM Journal on Applied Mathematics 48:5, pages 1194-1205.
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Fadil Santosa & William W. Symes. (1988) Reconstruction of blocky impedence profiles from normal-incidence reflection seismograms which are band-limited and miscalibrated. Wave Motion 10:3, pages 209-230.
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F Santosa, W W Symes & G Raggio. (1987) Inversion of band-limited reflection seismograms using stacking velocities as constraints. Inverse Problems 3:3, pages 477-499.
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A. K. M. Sarwar & Kenneth W. Holladay. (1987) Modified Gelfand‐Levitan inverse scattering technique in exploration seismology: A suggestion for a fast approximate algorithm. Modified Gelfand‐Levitan inverse scattering technique in exploration seismology: A suggestion for a fast approximate algorithm.
William W. Symes. (1986) On the Relation between Coefficient and Boundary Values for Solutions of Webster?s Horn Equation. SIAM Journal on Mathematical Analysis 17:6, pages 1400-1420.
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Robert Carroll. (1986) Patterns and structure in systems governed by linear second-order differential equations. Acta Applicandae Mathematicae 6:2, pages 109-184.
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. 1985. Transmutation Theory and Applications. Transmutation Theory and Applications 323 345 .
Robert Carroll. 1984. Differential Equations, Proceedings of the Conference held at The University of Alabama in Birmingham. Differential Equations, Proceedings of the Conference held at The University of Alabama in Birmingham 87 104 .
R. Carroll & D. S. Jones. (2011) Transmutation via the momentum plane. Mathematical Methods in the Applied Sciences 6:1, pages 467-495.
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F. Santosa. (1982) Review of Some Exact Methods for the Solution of the One-Dimensional Inverse Problems. IFAC Proceedings Volumes 15:4, pages 951-956.
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