 Dirichlet discrete Laplacian

ID: dirichlet-discrete-laplacian

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Dirichlet discrete Laplacian by

Codex  0 Created 2026-09-24 Updated 2026-09-24

On

J

interior points, the one-dimensional centered second-difference matrix with homogeneous Dirichlet boundaries has eigenvalues

λ_{j} = - 4 sin^{2} (\frac{jπ}{2 ( J + 1 )}), 1 \leq j \leq J .

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