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Solution of inverse nodal problems

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Published under licence by IOP Publishing Ltd
, , Citation O H Hald and J R McLaughlin 1989 Inverse Problems 5 307 DOI 10.1088/0266-5611/5/3/008

0266-5611/5/3/307

Abstract

The authors show that the coefficients in a second-order differential equation can be determined from the positions of the nodes for the eigenfunctions. They prove uniqueness results, derive approximate solutions, give error bounds and present numerical experiments.

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10.1088/0266-5611/5/3/008