Monotone difference schemes for weakly coupled elliptic and parabolic systems

DOI10.1515/cmam-2016-0046zbMath1359.65156OpenAlexW2579731163MaRDI QIDQ521657

Vo Thi Kim Tuyen, Le Minh Hieu, Francisco José Gaspar, Piotr P. Matus

Publication date: 11 April 2017

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://zaguan.unizar.es/record/65274

zbMATH Keywords

maximum principlenon-uniform gridsuniform normmonotone schemestwo-side estimatesweakly coupled elliptic system

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods for boundary value problems involving PDEs (65N06)

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Cites Work

• Analysis of second order difference schemes on non-uniform grids for quasilinear parabolic equations
• On convergence of difference schemes for IBVP for quasilinear parabolic equations with generalized solutions
• A second-order positivity preserving numerical method for gamma equation
• Some estimates and maximum principles for weakly coupled systems of elliptic PDE
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• The Maximum Principle and Some of Its Applications
• Discrete maximum principles for nonlinear parabolic PDE systems
• The Maximum Principle and Some of Its Applications
• Weakly Coupled Elliptic Systems and Positivity
• Discrete Maximum Principle and Adequate Discretizations of Linear Parabolic Problems
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