Higher Order Accurate Space-Time Schemes for Computational Astrophysics -- Part I -- Finite Volume Methods

Understand

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.

• Hence the need for a specialized review on higher order schemes for computational astrophysics.
• The focus here is on weighted essentially non-oscillatory (WENO) schemes, discontinuous Galerkin (DG) schemes and PNPM schemes.
• WENO schemes are higher order extensions of traditional second order finite volume schemes which are already familiar to most computational astrophysicists.