Abstract
A numerical method for reconstructing an impedance in a Sturm-Liouville operator from finitely many eigenvalues is investigated. The method constructs an impedance that has the given eigenvalues by finding a zero of a nonlinear finite dimensional map. A Newton scheme is investigated and numerical examples are considered.
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Knobel, R., Lowe, B.D. An inverse Sturm-Liouville problem for an impedance. Z. angew. Math. Phys. 44, 433–450 (1993). https://doi.org/10.1007/BF00953661
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DOI: https://doi.org/10.1007/BF00953661