141 citations · 278 across the 24 of their papers we have counts for
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math.NA2016★ 1 cited
A note on implementation of boundary variation diminishing algorithm to high-order local polynomial-based schemes
Yoshiaki Abe, Ziyao Sun, Feng Xiao
A novel approach for selecting appropriate reconstructions is implemented to the hyperbolic conservation laws in the high-order local polynomial-based framework, e.g., the disconti…
physics.comp-ph2016★ 141 cited
Boundary Variation Diminishing (BVD) reconstruction: a new approach to improve Godunov scheme
Ziyao Sun, Satoshi Inaba, Feng Xiao
This paper presents a new approach, so-called boundary variation diminishing (BVD), for reconstructions that minimize the discontinuities (jumps) at cell interfaces in Godunov type…