论文标题
绿色的Lax-Wendroff和光束温暖方案的功能
The Green's function of the Lax-Wendroff and Beam-Warming schemes
论文作者
论文摘要
我们证明，对于绿色的宽松和光束温暖方案的绿色功能，我们证明了一个尖锐的均匀概括的高斯束缚。我们的界限突出了导致这些方案在最大规范中的知名（相当弱）不稳定的空间区域。当将这些方案应用于有限变化的初始数据时，我们还会在最大规范中恢复均匀的界限。
We prove a sharp uniform generalized Gaussian bound for the Green's function of the Lax-Wendroff and Beam-Warming schemes. Our bound highlights the spatial region that leads to the well-known (rather weak) instability of these schemes in the maximum norm. We also recover uniform bounds in the maximum norm when these schemes are applied to initial data of bounded variation.
