Derives ADSC directional edge-diffusion correction via modal rectification of centered-stencil Fourier symbol, proving consistency and stability for regularized operator and existence/qualitative convergence for nonlinear implementation.
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2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2verdicts
UNVERDICTED 2representative citing papers
An a posteriori framework implemented in PyMHD estimates numerical dissipation in Alfvénic, dynamo, and MRI-driven MHD turbulence, showing it has distinct spectral and anisotropic properties from physical dissipation.
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Modal-Rectification-Based Directional Edge Diffusion for Cartesian Convection--Diffusion Problems
Derives ADSC directional edge-diffusion correction via modal rectification of centered-stencil Fourier symbol, proving consistency and stability for regularized operator and existence/qualitative convergence for nonlinear implementation.
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Characterization of Numerical Dissipation in Simulations of Magnetohydrodynamic Turbulence
An a posteriori framework implemented in PyMHD estimates numerical dissipation in Alfvénic, dynamo, and MRI-driven MHD turbulence, showing it has distinct spectral and anisotropic properties from physical dissipation.