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Dirichlet discrete Laplacian

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 .

Table of contents 173 5
- Crank-Nicolson stability on a finite Dirichlet interval Dirichlet discrete Laplacian 28
- Five-point Dirichlet Laplacian as a Kronecker sum Dirichlet discrete Laplacian 125 3
  - One-implicit-direction diffusion splitting Five-point Dirichlet Laplacian as a Kronecker sum 87 2
    - Stability limit of one-implicit-direction diffusion splitting One-implicit-direction diffusion splitting 37
    - Unconditionally stable corrected directional diffusion splitting One-implicit-direction diffusion splitting 26

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