Alternating-direction implicit method: Difference between revisions

Revision as of 18:40, 22 December 2007

Revision as of 19:11, 27 December 2007

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It can be shown that this method is unconditionally stable. There are more refined ADI methods such as the methods of Douglas<ref>Douglas, J. "Alternating direction methods for three space variables," Numerische Mathematik, Vol 4., pp 41-63 (1962)</ref>, or the f-factor method<ref>Chang, M.J. et al. "Improved alternating-direction implicit method for solving transient three-dimensional heat diffusion problems", Numerical Heat Transfer, Vol 19, pp 69-84, (1991)</ref> which can be used for three or more dimensions.

== References ==

<references/>

[[Category:Partial differential equations]]

[[Category:Numerical differential equations]]

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