Rotating shallow water magnetohydrodynamics, divergence-free constraints, nonconservative hyperbolic systems of nonlinear PDEs, path-conservative central-upwind scheme, flux globalization based well-balanced scheme
active flux methods, overlapping staggered meshes, path-conservative central-upwind schemes, conservative post-processing states
compressible Euler equations, low Mach number, asymptotic preserving (AP) schemes, hyperbolic splitting, semi-implicit methods, deferred correction
