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The alternating direction implicit method and Zolotarev’s fractions
Russian Journal of Numerical Analysis and Mathematical Modelling, 1994Summary: The problem of selecting the optimum parameters in the alternating direction implicit method is reduced to the third Zolotarev problem. New formulae which contain the elliptic Jacobi sine are derived for the optimum parameters. An efficient algorithm for calculating the optimum parameters is given.
Malozemov, V. N., Pevnyi, A. B.
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The Alternating Direction Multi-zone Implicit Method
Journal of Computational Physics, 1994The alternating direction multi-zone implicit method uses a different set of zones for each stage. Three examples of decomposing domains into sets of zones are presented. Numerical results are given.
Rosenfeld, Moshe, Yassour, Yuval
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