Stability of finite difference schemes for complex diffusion processes

Araújo, Adérito; Barbeiro, Sílvia; Serranho, Pedro

http://hdl.handle.net/10400.2/2176

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Authors

Araújo, Adérito

Barbeiro, Sílvia

Serranho, Pedro

Abstract(s)

In this paper we present a rigorous proof for the stability of a class of finite difference schemes applied to nonlinear complex diffusion equations. Complex diffusion is a common and broadly used denoising procedure in image processing. To illustrate the theoretical results we present some numerical examples based on an explicit scheme applied to a nonlinear equation in the context of image denoising.

Keywords

Finite differences Nonlinear complex diffusion Stability

URI

http://hdl.handle.net/10400.2/2176

Citation

Araújo, Adérito; Barbeiro, Sílvia; Serranho, Pedro - Stability of finite difference schemes for complex diffusion processes. "SIAM Journal on Numerical Analysis" [Em linha]. ISSN 0036-1429 (Print) 1095-7170 (Online). Vol. 50, nº3 (2012), p. 1-13