2 papers
math.NA2024
Analysis of any order Runge-Kutta Spectral Volume Schemes for 1D Hyperbolic Equations
Ping Wei, Qing-Song Zou
In this paper, we analyze any-order Runge-Kutta spectral volume schemes (RKSV(s,k)) for solving the one-dimensional scalar hyperbolic equation. The RKSV(s,k) was constructed by usi…
math.NA2014
Is -Conjecture valid for finite volume methods?
Waixiang Cao, Zhimin Zhang, Qingsong Zou
This paper is concerned with superconvergence properties of a class of finite volume methods of arbitrary order over rectangular meshes. Our main result is to prove {\it 2k-conject…