Stability of Finite Difference Schemes for Complex Diffusion Processes

DOI10.1137/110825789zbMath1252.65153OpenAlexW1980621180WikidataQ60368630 ScholiaQ60368630MaRDI QIDQ2903036

Pedro Serranho, Adérito Araújo, Sílvia Barbeiro

Publication date: 23 August 2012

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110825789

zbMATH Keywords

stabilitynumerical examplesfinite differencesnonlinear complex diffusion equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (8)

High order semi-implicit schemes for time dependent partial differential equations ⋮ On the existence and uniqueness of weak solutions of a coupled diffusion system related to image restoration ⋮ The use of physics-informed neural network approach to image restoration via nonlinear PDE tools ⋮ Cross-diffusion systems for image processing. II: The nonlinear case ⋮ A local information based variational model for selective image segmentation ⋮ On the development of a coupled nonlinear telegraph-diffusion model for image restoration ⋮ On the linear stability of some finite difference schemes for nonlinear reaction-diffusion models of chemical reaction networks ⋮ Learning stable nonlinear cross-diffusion models for image restoration

This page was built for publication: Stability of Finite Difference Schemes for Complex Diffusion Processes