A hyperbolic-system-based finite difference method achieves uniformly fifth-order accurate solutions and gradients for anisotropic diffusion independent of anisotropy degree.
Nishikawa, New-generation hyperbolic Navier-Stokes schemes: O(1/h) speed-up and accurate viscous/heat fluxes, in: Proc
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First order hyperbolic approach for Anisotropic Diffusion equation
A hyperbolic-system-based finite difference method achieves uniformly fifth-order accurate solutions and gradients for anisotropic diffusion independent of anisotropy degree.