In 1917, the British scientist LF Richardson made the first reported attempt to predict the
weather by solving partial differential equations numerically, by hand! It is generally …

The purpose of this work is to propose a novel a posteriori finite volume subcell limiter
technique for the Discontinuous Galerkin finite element method for nonlinear systems of …

In this article, a conservative least-squares polynomial reconstruction operator is applied to
the discontinuous Galerkin method. In a first instance, piecewise polynomials of degree N …

This paper is concerned with the numerical solution of the unified first order hyperbolic
formulation of continuum mechanics recently proposed by Peshkov and Romenski [110] …

We propose a new robust and accurate SPH scheme, able to track correctly complex three-
dimensional non-hydrostatic free surface flows and, even more important, also able to …

We present a global, closed‐loop, multiscale mathematical model for the human circulation
including the arterial system, the venous system, the heart, the pulmonary circulation and the …

We present the asymptotic transitions from microscopic to macroscopic physics, their
computational challenges and the asymptotic-preserving (AP) strategies to compute …

In this paper, we propose a new unified family of arbitrary high order accurate explicit one-
step finite volume and discontinuous Galerkin schemes on unstructured triangular and …

In this paper we present a novel arbitrary high order accurate discontinuous Galerkin (DG)
finite element method on space–time adaptive Cartesian meshes (AMR) for hyperbolic …

The present paper introduces a class of finite volume schemes of increasing order of
accuracy in space and time for hyperbolic systems that are in conservation form. The …