Finite Volume Methods (FVM) have become a cornerstone in the numerical treatment of partial differential equations, particularly those governing cross-diffusion and parabolic processes. These ...

Finite volume methods (FVMs) represent a class of numerical techniques that are widely used in the discretisation of elliptic equations, ensuring local conservation of fluxes and often realising high ...

SIAM Journal on Numerical Analysis, Vol. 31, No. 2 (Apr., 1994), pp. 324-343 (20 pages) This paper proves the convergence of a general class of monotone finite volume methods for numerical schemes of ...

A finite-volume method has been developed that can deal accurately with complicated, curved boundaries for both two-dimensional and three-dimensional axisymmetric advection—diffusion systems. The ...