Functions of Difference Matrices Are Toeplitz Plus Hankel
When the heat equation and wave equation are approximated by $\bm{u}_t = -\bm{K} \bm{u}$ and $\bm{u}_{tt} = -\bm{K} \bm{u}$ (discrete in space), the solution operators involve $e^{-\bm{K}t}$, $\sqrt{\bm{K}}$, $\cos(\sqrt{\bm{K}}t)$, and $\mathrm{sinc}(\sqrt{\bm{K}}t)$. We compute these four matrices...
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| Format: | Article |
| Language: | English |
| Published: |
Society for Industrial and Applied Mathematics,
2014-10-27T16:17:58Z.
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| Subjects: | |
| Online Access: | Get fulltext |