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a posteriori stabilized sixth-order finite volume scheme for one-dimensional steady-state hyperbolic equations
2017
Advances in Computational Mathematics
We propose a new family of finite volume high-accurate numerical schemes devoted to solve one-dimensional steady-state hyperbolic systems. High-accuracy (up to the sixth-order presently) is achieved thanks to polynomial reconstructions while stability is provided with an a posteriori MOOD method which control the cell polynomial degree for eliminating non-physical oscillations in the vicinity of discontinuities. Such a procedure demands the determination of a chain detector to discriminate
doi:10.1007/s10444-017-9556-6
fatcat:ycni35hnfjccdb3n23fwvp2g4u