TVD scheme
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Latest revision as of 21:28, 15 October 2005
A scheme is said to be TVD or Total Variation Diminishing if it does not increase the total variation of the solution, i.e.,
The total variation of a grid function is defined as
Note that a TVD scheme may not satisfy the entropy condition and hence can give incorrect solution. We have the following relationship between monotone, TVD and monotonicity preserving schemes,
- Monotone scheme TVD scheme Monotonicity preserving scheme