Generalized spectrum approximation and numerical computation of eigenvalues for Schrödinger's operators

DOI10.1134/S1995080213010058zbMath1291.34145MaRDI QIDQ372773

Hamza Guebbai

Publication date: 21 October 2013

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

convolutionspectrumintegral operatorFourier seriespseudospectrumgeneralized spectrumSchrödinger's operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (10)

New convergence mode for the generalized spectrum approximation ⋮ A new degenerate kernel method for a weakly singular integral equation ⋮ GENERALIZED QUADRATIC SPECTRUM APPROXIMATION IN BOUNDED AND UNBOUNDED CASES ⋮ \((n,\varepsilon)\)-condition spectrum of operator pencils ⋮ Eigenvalues computation by the generalized spectrum method of Schrödinger's operator ⋮ Improving the convergence order of the regularization method for Fredholm integral equations of the second kind ⋮ A note on generalized spectrum approximation ⋮ New sufficient conditions for the computation of generalized eigenvalues ⋮ The pseudo-spectrum of operator pencils ⋮ The condition pseudospectrum of a operator pencil

Cites Work

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• Spectra and pseudospectra of convection-diffusion operator
• On the definition of pseudospectra
• Pseudospectra of Linear Operators
• Regularization and Fourier Series for Fredholm Integral Equations of the Second Kind with a Weakly Singular Kernel
• Spectral pollution

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