The convergence of a numerical method for total variation flow
2021 ◽
Vol 15
◽
pp. 174830262110113
Keyword(s):
We present a convergence analysis for a finite difference scheme for the time dependent partial different equation called gradient flow associated with the Rudin-Osher-Fetami model. We devise an iterative algorithm to compute the solution of the finite difference scheme and prove the convergence of the iterative algorithm. Finally computational experiments are shown to demonstrate the convergence of the finite difference scheme.
2013 ◽
Vol 10
(02)
◽
pp. 1341010
◽
2006 ◽
Vol 12
(3-4)
◽
pp. 313-320
◽
2010 ◽
Vol 3
(1)
◽
pp. 1-22
◽
2010 ◽
Vol 50
(1)
◽
pp. 112-123
◽
2019 ◽
Vol 60
(2)
◽
pp. 411-439
◽
2011 ◽
Vol 12
(3)
◽
pp. 150-159
2020 ◽
Vol 39
(2)
◽
1998 ◽
Vol 46
(8)
◽
pp. 1193-1196
◽