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math.NA2021★ 1 cited
Quasi-linear analysis of dispersion relation preservation for nonlinear schemes
Fengyuan Xu, Pan Yan, Qin Li +1
In numerical simulations of complex flows with discontinuities, it is necessary to use nonlinear schemes. The spectrum of the scheme used have a significant impact on the resolutio…
math.NA2021
Third-order scale-independent WENO-Z scheme achieving optimal order at critical points
Qin Li, Xiao Huang, Pan Yan +1
As we found previously, when critical points occur within grid intervals, the accuracy relations of smoothness indicators of WENO-JS would differ from that assuming critical points…
math.NA2021★ 1 cited
On developing piecewise rational mapping with fine regulation capability for WENO schemes
Qin Li, Pan Yan, Xiao Huang +2
On the idea of mapped WENO-JS scheme, properties of mapping methods are analyzed, uncertainties in mapping development are investigated, and new rational mappings are proposed. Bas…