Error analysis of some nonlocal diffusion discretization schemes

Author:

Galiano GonzaloORCID

Funder

Ministry of Communications and Information, Singapore

Espana Ministerio de Ciencia e Innovacion

Publisher

Elsevier BV

Subject

Computational Mathematics,Computational Theory and Mathematics,Modelling and Simulation

Reference34 articles.

1. Functions of Bounded Variation and Free Discontinuity Problems;Ambrosio,2000

2. Nonlocal Diffusion Problems;Andreu-Vaillo,2010

3. Fundamental relationship between bilateral filtering, adaptive smoothing, and the nonlinear diffusion equation;Barash;IEEE Trans. Pattern Anal.,2002

4. Total variation image restoration: numerical methods and extensions;Blomgren,1997

5. Neighborhood filters and PDE's;Buades;Numer. Math.,2006

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1. A convergent finite-volume scheme for nonlocal cross-diffusion systems for multi-species populations;ESAIM: Mathematical Modelling and Numerical Analysis;2024-03

2. Convergence of solutions of a rescaled evolution nonlocal cross-diffusion problem to its local diffusion counterpart;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2022-04-02

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