latticediffer
Latticediffer is a term used to describe a class of discrete differential operators defined on lattice or grid structures. In mathematical and computational contexts, latticediffer denotes finite-difference operators that approximate derivatives along the directions permitted by the lattice, typically by combining values at neighboring lattice points. The concept aims to capture the idea of differentiating on a discrete spatial framework while respecting the underlying grid symmetry.
Two common variants appear in the literature: isotropic latticediffer and anisotropic latticediffer. Isotropic latticediffer uses symmetric
Applications of latticediffer include the numerical solution of partial differential equations on grids, such as diffusion,
Implementation considerations involve boundary treatment, consistency with the continuous operator, numerical stability, and the choice of