Convergence Analysis of a Finite Difference Scheme for the Gradient Flow associated with the ROF Model
We present a convergence analysis of a finite difference scheme for the time dependent partial different equation called gradient flow associated with the Rudin-Osher-Fatemi model. We devise an iterative algorithm to compute the solution of the finite difference scheme and prove the convergence of t...
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| creator | Hong, Qianying Ming-Jun, Lai Wang, Jingyue |
| description | We present a convergence analysis of a finite difference scheme for the time dependent partial different equation called gradient flow associated with the Rudin-Osher-Fatemi 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. An application for image denoising is given. |
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| source | Freely Accessible Journals at publisher websites |
| subjects | Convergence Finite difference method Gradient flow Iterative algorithms Iterative methods Mathematical analysis Noise reduction Time dependence Viscosity |
| title | Convergence Analysis of a Finite Difference Scheme for the Gradient Flow associated with the ROF Model |
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