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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>
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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>.
: [[Monotone scheme]] <math>\Longrightarrow</math> [[TVD scheme]] <math>\Longrightarrow</math> [[Monotonicity preserving scheme]]
: [[Monotone scheme]] <math>\Longrightarrow</math> [[TVD scheme]] <math>\Longrightarrow</math> [[Monotonicity preserving scheme]]
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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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