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A universal centred high-order method based on implicit Taylor series expansion with fast second order evolution of spatial derivatives
[article]
2020
arXiv
pre-print
In this paper, a centred universal high-order finite volume method for solving hyperbolic balance laws is presented. The scheme belongs to the family of ADER methods where the Generalized Riemann Problems (GRP) is a building block. The solution to these problems is carried through an implicit Taylor series expansion, which allows the scheme to works very well for stiff source terms. A von Neumann stability analysis is carried out to investigate the range of CFL values for which stability and
arXiv:2010.10659v1
fatcat:hhu5c7rl2bhhzimtosoi7fnwve