On Cyclic Reduction and Finite Di erence Schemes

@inproceedings{Zhangy1999OnCR,
  title={On Cyclic Reduction and Finite Di erence Schemes},
  author={Jun Zhangy and Jules Kouatchouz and Mohamed Othmanx},
  year={1999}
}
  • Jun Zhangy, Jules Kouatchouz, Mohamed Othmanx
  • Published 1999
We investigate a family of nite diierence schemes for discretizing the two dimensional Poisson equation on both the standard and the reduced grids. We study the relation between the cyclic reduction method and the discretization schemes on different grids. The spectral radii of the Jacobi iteration matrices, and the truncation errors of, diierent discretization schemes are compared analytically and numerically. 

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