Analysis of high accuracy conservation-element and solution-element schemes

We propose a technique to construct higher accuracy conservation element and solution element (CE/SE) schemes. A second-order CE/SE scheme is established and its stability condition is examined on the basis of the von Neumann necessary condition. From the viewpoints of accuracy and efficiency, the applied range of the one-order CE/SE scheme and the high-order ones is discussed through some numerical examples.Physics, MultidisciplinarySCI(E)中国科学引文数据库(CSCD)0ARTICLE112085-20882