Monotonicity preserving scheme

(Difference between revisions)

Revision as of 01:51, 9 May 2006

A scheme is said to be monotonicity preserving if $u^n$ is a monotone mesh function, so is $u^{n+1}$ .

Monotone scheme $\Longrightarrow$ TVD scheme $\Longrightarrow$ Monotonicity preserving scheme

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-A scheme is said to be monotonicity preserving if <math>u^n</math> is a monotone mesh function, so is <math>u^{n+1}</math>
+A scheme is said to be monotonicity preserving if <math>u^n</math> is a monotone mesh function, so is <math>u^{n+1}</math>.
 : [[Monotone scheme]] <math>\Longrightarrow</math> [[TVD scheme]] <math>\Longrightarrow</math> [[Monotonicity preserving scheme]]
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