Fast stable finite difference schemes for nonlinear cross-diffusion

DOI10.1016/j.camwa.2021.06.011zbMath1486.65116arXiv2105.04043OpenAlexW3202180503MaRDI QIDQ2239090

Diogo Lobo

Publication date: 2 November 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.04043

zbMATH Keywords

image processingoperator splittingmatrix factorizationnonlinear cross-diffusionfast numerical schemes

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) 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) Finite difference methods for boundary value problems involving PDEs (65N06) Direct numerical methods for linear systems and matrix inversion (65F05)

Uses Software

• mctoolbox

Cites Work

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• A linear finite volume method for nonlinear cross-diffusion systems
• Cross-diffusion systems for image processing. II: The nonlinear case
• Cross-diffusion systems for image processing. I: The linear case
• Cyclic schemes for PDE-based image analysis
• Learning stable nonlinear cross-diffusion models for image restoration
• A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems
• A parallel splitting up method and its application to Navier-Stokes equations
• A linear scheme to approximate nonlinear cross-diffusion systems
• ANALYSIS OF A FINITE VOLUME METHOD FOR A CROSS-DIFFUSION MODEL IN POPULATION DYNAMICS
• On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
• Matrix Analysis
• Stability Analysis of Difference Schemes for Variable Coefficient Schrödinger Type Equations
• Parallel finite element splitting-up method for parabolic problems
• Accuracy and Stability of Numerical Algorithms
• A variable nonlinear splitting algorithm for reaction diffusion systems with self‐ and cross‐ diffusion
• Analysis of Finite Difference Schemes

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