# Monotonicity preserving scheme

(Difference between revisions)
 Revision as of 01:51, 9 May 2006 (view source)Zznz (Talk | contribs)← Older edit Revision as of 14:00, 17 December 2008 (view source)m (lic4tcnavar)Newer edit → Line 1: Line 1: + domlet A scheme is said to be monotonicity preserving if [itex]u^n[/itex] is a monotone mesh function, so is [itex]u^{n+1}[/itex]. A scheme is said to be monotonicity preserving if [itex]u^n[/itex] is a monotone mesh function, so is [itex]u^{n+1}[/itex].

## Revision as of 14:00, 17 December 2008

domlet 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