We introduce a simple and general framework for the construction of thermodynamically
compatible schemes for the numerical solution of overdetermined hyperbolic PDE systems …

We present a new family of very high order accurate direct Arbitrary-Lagrangian-Eulerian
(ALE) Finite Volume (FV) and Discontinuous Galerkin (DG) schemes for the solution of …

This paper is on arbitrary high order fully discrete one-step ADER discontinuous Galerkin
schemes with subcell finite volume limiters applied to a new class of first order hyperbolic …

In this paper we present a new family of semidiscrete and fully discrete finite volume
schemes for overdetermined, hyperbolic, and thermodynamically compatible PDE systems …

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 …

This article aims at developing a high order pressure-based solver for the solution of the 3D
compressible Navier-Stokes system at all Mach numbers. We propose a cell-centered …

In this paper we present a novel first order hyperbolic reformulation of the barotropic Navier-
Stokes-Korteweg system. The new formulation is based on a combination of the first order …

In this paper a new hybrid semi-implicit finite volume/finite element (FV/FE) scheme is
presented for the numerical solution of the compressible Euler and Navier–Stokes equations …

We present a novel staggered semi-implicit hybrid finite volume/finite element method for the
numerical solution of the shallow water equations at all Froude numbers on unstructured …

We propose a new pressure-based structure-preserving (SP) and quasi asymptotic
preserving (AP) staggered semi-implicit finite volume scheme for the unified first order …