Calculating resonances (natural frequencies) and extracting them from transient fields

DOI10.1063/1.526585zbMath0605.65068OpenAlexW2012115357MaRDI QIDQ3742652

Alexander G. Ramm

Publication date: 1985

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/da89544c0cd10049e99c58370e348ace608355b5

zbMATH Keywords

natural frequenciesHelmholtz equationscattererresonancesStabilityroundoff errorsfinite obstacletransient fields

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (1)

SOME RESULTS ON INVERSE SCATTERING

Cites Work

• Mathematical foundations of the singularity and eigenmode expansion methods (SEM and EEM)
• Convergence of the T-matrix approach in scattering theory. II
• A variational principle for resonances
• Theoretical and practical aspects of singularity and eigenmode expansion methods
• Decaying modes for the wave equation in the exterior of an obstacle

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