High order mimetic differences applied to the convection-diffusion equation: a matrix stability analysis

DOI10.1007/s13137-023-00232-xzbMath1525.65018MaRDI QIDQ6082212

Giovanni Calderón, Larry Mendoza, Otilio Rojas, José E. Castillo, Jorge Villamizar

Publication date: 3 November 2023

Published in: GEM - International Journal on Geomathematics (Search for Journal in Brave)

zbMATH Keywords

stabilityconvection-diffusion equationmimetic operators

Mathematics Subject Classification ID

Diffusion (76R50) 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) Numerical differentiation (65D25)

Cites Work

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• A new mimetic scheme for the acoustic wave equation
• Mimetic schemes on non-uniform structured meshes
• Linear systems arising for second order mimetic divergence and gradient discretizations
• High-order mimetic finite-difference operators satisfying the extended Gauss divergence theorem
• Algorithms for Higher-Order Mimetic Operators
• A Matrix Analysis Approach to Higher-Order Approximations for Divergence and Gradients Satisfying a Global Conservation Law
• Fourth- and sixth-order conservative finite difference approximations of the divergence and gradient

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