Accuracy of the difference scheme of solving the eigenvalue problem for the Laplacian

DOI10.1007/s10559-011-9357-8zbMath1302.65248OpenAlexW1981737848MaRDI QIDQ464967

N. V. Maiko, V. L. Ryabichev, Viktor G. Prikazchikov

Publication date: 30 October 2014

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-011-9357-8

zbMATH Keywords

rate of convergenceeigenvalueserror bounddifference schemeLaplacianeigenfunction

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (3)

The limiting accuracy characteristics for the discrete analog of spectral problem ⋮ Asymptotic estimates of the accuracy of eigenvalues of fourth order elliptic operator with mixed boundary conditions ⋮ Efficient two-sided estimates for the spectrum of some elliptic operators

Cites Work

• Accuracy of difference approximation for an eigenvalue problem
• Stability theory of difference schemes and iterative methods
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