Over the last decade block-structured adaptive mesh refinement (SAMR) has found
increasing use in large, publicly available codes and frameworks. SAMR frameworks have …

The review considers the modelling process for stellar convection rather than specific
astrophysical results. For achieving reasonable depth and length we deal with …

Efficient simulation of plasmas in various contexts often involves the use of meshes that
conform to the intrinsic geometry of the system under consideration. We present here a …

We present a fourth-order accurate finite-volume method for solving time-dependent
hyperbolic systems of conservation laws on Cartesian grids with multiple levels of …

Context. Recent, nonlinear simulations of wave generation and propagation in full-star
models have been carried out in the anelastic approximation using spectral methods …

We introduce a general framework for the construction of well-balanced finite volume
methods for hyperbolic balance laws. We use the phrase well-balancing in a broader sense …

We present a fourth-order accurate finite volume method for the solution of ideal
magnetohydrodynamics (MHD). The numerical method combines high-order quadrature …

A high-order, central, essentially non-oscillatory (CENO), finite-volume scheme in
combination with a block-based adaptive mesh refinement (AMR) algorithm is proposed for …

We present the extension of GR-Athena++ to general-relativistic magnetohydrodynamics
(GRMHD) for applications to neutron star spacetimes. The new solver couples the …

Methods for the numerical discretization of the Vlasov equation should efficiently use the
phase-space discretization and should introduce only enough numerical dissipation to …