This new book deals with the construction of finite-difference (FD) algorithms for three main
types of equations: elliptic equations, heat equations, and gas dynamic equations in …

A new finite volume method is presented for discretizing general linear or nonlinear elliptic
second-order partial-differential equations with mixed boundary conditions. The advantage …

A new second-order finite-difference algorithm for the numerical solution of diffusion
problems in strongly heterogeneous and non-isotropic media is constructed. On problems …

A finite-difference algorithm for the numerical solution of diffusion problems in strongly
heterogeneous and nonisotropic media is constructed for logically rectangular grids. The …

General purely algebraic approaches for repeated coarsening of deterministic or statistical
field equations are presented, including a universal way to gauge and control the quality of …

We propose a new cell-centered diffusion scheme on unstructured meshes. The main
feature of this scheme lies in the introduction of two normal fluxes and two temperatures on …

We derive a cell-centered 2-D diffusion differencing scheme for arbitrary quadrilateral
meshes inr-zgeometry using a local support-operators method. Our method is said to be …

We present a new moment-of-fluid (MOF 2) interface reconstruction method. It uses the
zeroth, first, and second moments of the fragment of material inside a cell of the mesh to …

A nine point scheme is presented for discretizing diffusion operators on distorted
quadrilateral meshes. The advantage of this method is that highly distorted meshes can be …

A new finite volume method is presented for discretizing diffusion operators with
discontinuous tensor coefficients. The main advantage of this method is that arbitrary …