New technologies play a central role in damage prevention of artistic and cultural heritage.
The literature is ourishing of mathematical models that describe the process of corrosion due …

Hyperbolic systems with stiff relaxation constitute a wide class of evolutionary partial
differential equations which describe several physical phenomena, ranging from gas …

In this paper we develop a new well-balanced discontinuous Galerkin (DG) finite element
scheme with subcell finite volume (FV) limiter for the numerical solution of the Einstein–Euler …

A novel, simple, robust, and effective modification in the nonlinear weights of the scale-
invariant WENO operator is proposed that achieves an optimal order of accuracy with …

We develop fifth-order A-WENO finite-difference schemes based on the path-conservative
central-upwind method for nonconservative one-and two-dimensional hyperbolic systems of …

We extend recently proposed flux globalization based well-balanced path-conservative
central-upwind schemes to several shallow water models including the Saint-Vevant system …

In some previous works, two of the authors introduced a technique to design high-order
numerical methods for one-dimensional balance laws that preserve all their stationary …

The aim of this work is to design implicit and semi-implicit high-order well-balanced finite-
volume numerical methods for 1D systems of balance laws. The strategy introduced by two …

We present a novel formulation of the discontinuous Galerkin spectral element method for
solving balance laws, with application to the shallow water equations. The scheme …

The finite difference multi-resolution alternative weighted essentially non-oscillatory (MR-
AWENO) scheme has been designed to solve hyperbolic conservation laws (Wang et al. in …