We present a novel quasi-conservative arbitrary high order accurate ADER (Arbitrary-
Derivative) discontinuous Galerkin method allowing to efficiently use a non-conservative …

We present a new exactly divergence-free and well-balanced hybrid finite volume/finite
element scheme for the numerical solution of the incompressible viscous and resistive …

The past years have witnessed tremendous progress in understanding the properties of
neutron stars and of the dense matter in their cores, made possible by electromagnetic …

The space–time adaptive ADER–DG finite element method with LST–DG predictor and a
posteriori sub–cell ADER–WENO finite–volume limiting was used for simulation of …

We present a discontinuous Galerkin-finite difference hybrid scheme that allows high-order
shock capturing with the discontinuous Galerkin method for general relativistic …

Relativistic plasmas around compact objects can sometimes be approximated as being
force-free. In this limit, the plasma inertia is negligible and the overall dynamics is governed …

We propose a high order discontinuous Galerkin (DG) scheme with subcell finite volume
(FV) limiter to solve a monolithic first-order hyperbolic Baumgarte-Shapiro-Shibata …

In this paper, we develop a general framework for the design of the arbitrary high-order well-
balanced discontinuous Galerkin (DG) method for hyperbolic balance laws, including the …

We develop a new class of high-order accurate well-balanced finite difference (FD)
weighted essentially nonoscillatory (WENO) methods for numerical general relativity (GR) …

An adaptation of the arbitrary high order ADER-DG numerical method with local DG
predictor for solving the IVP for a first-order non-linear ODE system is proposed. The …