When it comes to discretization schemes for finite volume method, the following terms can be found in literature:
- monotone schemes
- monotonicity preserving schemes
- local extremum diminishing schemes
- TVD schemes
- NVD schemes
- bounded schemes
- stable schemes
- stability preserving schemes
A single work doesn't use all of them, rendering it more difficult to understand how these terms compare.
Could you please explain the relationship between the terms? For example: are some of them synonyms, subclasses of others, equivalent provided that some other condition is met?