In this paper, we investigate an original way to deal with the problems generated by the
limitation process of high-order finite volume methods based on polynomial reconstructions …

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] …

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 …

This paper extends the MOOD method proposed by the authors in [A high-order finite
volume method for hyperbolic systems: Multi-Dimensional Optimal Order Detection (MOOD) …

In this paper we first review the development of high order ADER finite volume and ADER
discontinuous Galerkin schemes on fixed and moving meshes, since their introduction in …

SUMMARY The Multidimensional Optimal Order Detection (MOOD) method for two‐
dimensional geometries has been introduced by the authors in two recent papers. We …

In this paper, we investigate the coupling of the Multi-dimensional Optimal Order Detection
(MOOD) method and the Arbitrary high order DERivatives (ADER) approach in order to …

In this article we extend the high order ADER finite volume schemes introduced for stiff
hyperbolic balance laws by Dumbser, Enaux and Toro (J. Comput. Phys. 227: 3971–4001 …

An adaptive ADER finite volume method on unstructured meshes is proposed. The method
combines high order polyharmonic spline weighted essentially non-oscillatory (WENO) …

This paper presents a mathematical model of the global, arterio‐venous circulation in the
entire human body, coupled to a refined description of the cerebrospinal fluid (CSF) …