1. Barsukow, W.:The active flux scheme for nonlinear problems. submitted to J. Sci. Comp. (2019) 2. Barsukow, W.:Stationarity preserving schemes for multi-dimensional linear systems. Math. Comput. 88(318), 1621-1645 (2019) 3. Barsukow, W., Edelmann, P.V.F., Klingenberg, C., Miczek, F., Röpke, F.K.:A numerical scheme for the compressible low-Mach number regime of ideal fluid dynamics. J. Sci. Comput. 72(2), 623- 646 (2017) 4. Barsukow, W., Hohm, J., Klingenberg, C., Roe, P.L.:The active flux scheme on Cartesian grids and its low Mach number limit. J. Sci. Comput. 81(1), 594-622 (2019) 5. Barsukow, W., Klingenberg, C.:Exact solution and a truly multidimensional Godunov scheme for the acoustic equations. arXiv:2004.04217 (2020) 6. Dellacherie, S., Jung, J., Omnes, P., Raviart, P.-A.:Construction of modified Godunov-type schemes accurate at any Mach number for the compressible Euler system. Math. Models Methods Appl. Sci. 26(13), 2525-2615 (2016) 7. Eymann, T.A., Roe, P.L.:Multidimensional active flux schemes. In:21st AIAA Computational Fluid Dynamics Conference (2013). https://doi.org/10.2514/6.2013-2940 8. Fan, D.:On the acoustic component of active flux schemes for nonlinear hyperbolic conservation laws. PhD thesis, University of Michigan (2017) 9. Helzel, C., Kerkmann, D., Scandurra, L.:A new ADER method inspired by the active flux method. J. Sci. Comput. 80(3), 1463-1497 (2019) 10. Jeltsch, R., Torrilhon, M.:On curl-preserving finite volume discretizations for shallow water equations. BIT Numer. Math. 46(1), 35-53 (2006) 11. Maeng, J.:On the advective component of active flux schemes for nonlinear hyperbolic conservation laws. PhD thesis, University of Michigan (2017) 12. Morton, K.W., Roe, P.L.:Vorticity-preserving Lax-Wendroff-type schemes for the system wave equation. SIAM J. Sci. Comput. 23(1), 170-192 (2001) 13. Mishra, S., Tadmor, E.:Constraint preserving schemes using potential-based fluxes II. Genuinely multi-dimensional central schemes for systems of conservation laws. Research Report. ETH (2009) 14. Van Leer, B.:Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection. J. Comput. Phys. 23(3), 276-299 (1977) |