The inverse eigenvalue problem for a weighted helmholtz equation

DOI10.1080/00036810108840896zbMath1020.65081OpenAlexW2078377126WikidataQ58244704 ScholiaQ58244704MaRDI QIDQ2729527

C. Maeve McCarthy

Publication date: 22 July 2001

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810108840896

zbMATH Keywords

algorithmnumerical exampleseigenvalueseigenfunctionsboundary value problemmatrix inverse problemfixed-point iterative methodinverse spectral methodsweighted Helmholtz equation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Estimates of eigenvalues in context of PDEs (35P15) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Cites Work

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• An \(n\)-dimensional Borg-Levinson theorem
• A reconstruction method for a two-dimensional inverse eigenvalue problem
• Analytical Methods for Recovering Coefficients in Differential Equations from Spectral Data
• Inverse Eigenvalue Problems

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