The distribution of the eigenvalues of the discrete Laplacian

DOI10.1007/BF01932957zbMath0258.65106MaRDI QIDQ5674372

G. W. Hedstrom, Richard L. Burden

Publication date: 1972

Published in: BIT (Search for Journal in Brave)

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (2)

Mysteries around the graph Laplacian eigenvalue 4 ⋮ A parallel-in-time implementation of the Numerov method for wave equations

Cites Work

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• The spectral function of an elliptic operator
• Stability of parabolic difference schemes in the maximum norm
• Energy Inequalities for the Solution of Differential Equations
• On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
• Classes of Compact Operators and Eigenvalue Distributions for Elliptic Operators
• Effects of Boundary Regularity on the Discretization Error in the Fixed Membrane Eigenvalue Problem
• Pointwise Bounds for Discrete Green’s Functions
• On the asymptotic distribution of the eigenvalues and eigenfunctions of elliptic differential operators

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