An alternative cell-vertex entropy-stable finite volume method for the system of Euler
equations is presented. It is derived from the residual distribution method, using the signals …

This paper presents an alternative well-balanced and energy stable method for the system
of non-homogeneous Shallow Water Equations (SWE) on unstructured grids based on the …

The developments of linearity preserving (LP) residual distribution (RD) schemes for
unsteady hyperbolic and hyperbolic-parabolic equations are presented. This is achieved by …

This paper postulates three numerical methods solving the second-order Maxwell's equation
on unstructured grids. These numerical methods are derived from the classic finite-volume …

Inheriting a convergence difficulty explained by the Kolmogorov N-width, the advection–
diffusion equation is not effectively solved by the proper generalized decomposition (PGD) …

An entropy-stable residual distribution (RD) method is developed for the systems of two-
dimensional shallow water equations (SWE). The construction of entropy stability for the …

In this paper, the properties of the newly developed flux-difference residual distribution
methods will be analyzed. The focus would be on the order-of-accuracy and stability …

In this paper, the newly developed residual distribution (RD) method called the
FluxDifference approach is combined with the Galerkin method to solve the advection …

For advection-diffusion problem, the non-unified approach of classic residual distribution
(RD) schemes for advection discretization and pure Galerkin scheme for diffusion …