In a single process, the merger of binary neutron star systems combines extreme gravity, the
copious emission of gravitational waves, complex microphysics and electromagnetic …

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 …

Finite difference WENO schemes have established themselves as very worthy performers for
entire classes of applications that involve hyperbolic conservation laws. In this paper we …

Seconds-long numerical-relativity simulations for black hole–neutron star mergers are
performed for the first time to obtain a self-consistent picture of the merger and post-merger …

In this paper a new simple fifth order weighted essentially non-oscillatory (WENO) scheme is
presented in the finite difference framework for solving the hyperbolic conservation laws …

As computational astrophysics comes under pressure to become a precision science, there
is an increasing need to move to high accuracy schemes for computational astrophysics …

A comparison study of the efficiency and accuracy of a variety of meshless trial and test
functions is presented in this paper, based on the general concept of the meshless local …

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 simple, robust and accurate nonlinear a posteriori stabilization of
the Discontinuous Galerkin (DG) finite element method for the solution of nonlinear …

We present the first high order one-step ADER-WENO finite volume scheme with adaptive
mesh refinement (AMR) in multiple space dimensions. High order spatial accuracy is …