Scheme for interpretation of approximately computed eigenvalues embedded in a continuous spectrum

DOI10.1134/S0965542513060122zbMath1299.76235MaRDI QIDQ5413114

Sergueï A. Nazarov

Publication date: 28 April 2014

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

continuous spectrumaugmented scattering matrixacoustic waveguideapproximately computed eigenvaluesenforced stability

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (2)

On local perturbations of waveguides ⋮ Finite-dimensional approximations to the Poincaré–Steklov operator for general elliptic boundary value problems in domains with cylindrical and periodic exits to infinity

Cites Work

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• Asymptotic expansions of eigenvalues in the continuous spectrum of a regularly perturbed quantum waveguide
• Enforced stability of a simple eigenvalue in the continuous spectrum of a waveguide
• Variational and asymptotic methods for finding eigenvalues below the continuous spectrum threshold
• Embedded trapped modes in water waves and acoustics
• Scattering theory for diffraction gratings
• Elliptic problems in domains with piecewise smooth boundaries
• On computation of scattering matrices and on surface waves for diffraction gratings
• The augmented scattering matrix and exponentially decaying solutions of an elliptic problem in a cylindrical domain.
• A criterion for the existence of decaying solutions in the problem on a resonator with a cylindrical waveguide
• Asymptotic behaviour of an eigenvalue in the continuous spectrum of a narrowed waveguide
• Enforced stability of an eigenvalue in the continuous spectrum of a waveguide with an obstacle
• Properties of Spectra of Boundary Value Problems in Cylindrical and Quasicylindrical Domains
• Guided waves by electromagnetic gratings and non‐uniqueness examples for the diffraction problem
• Existence theorems for trapped modes
• The polynomial property of self-adjoint elliptic boundary-value problems and an algebraic description of their attributes
• Complex resonances in acoustic waveguides
• Artificial boundary conditions for finding surface waves in the problem of diffraction by a periodic boundary

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