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for questions involving inequalities, upper and lower bounds.

3 votes
2 answers
576 views

How to estimate a recursive inequality with an upper bound

The below is a simplification of part of a proof I'm working on, in numerical analysis. It is similar to a paper that I studied some months ago, for which I got some advice here on MathOverflow. I ha …
Cogicero's user avatar
  • 167
2 votes
1 answer
144 views

Resolving an inequality in the final step of derivation of an *a priori* energy estimate

I'm studying a paper (see citation below) on numerical analysis, and came across this estimate. I am unable to figure out what was done in the final step, and I am not certain if this was just a typo …
Cogicero's user avatar
  • 167
1 vote
1 answer
2k views

Any inequalities / estimates for a lower bound of the $L^2$ inner product of a quantity and ...

This answer on Math SE mentions Kantorovich inequalities, but there is no reference and my searches so far have been futile. …
Cogicero's user avatar
  • 167
0 votes

How to estimate a recursive inequality with an upper bound

Here is what I eventually did. In light of @losif's answer which I already accepted, can you please tell me what is wrong with my reasoning below? Given ($\star$), we have $$(1+pΔt)A_1+B_1 ≤ A_0 + B_0 …
Cogicero's user avatar
  • 167