论文标题
猎人的数值保守解决方案 - -Saxton方程
Numerical conservative solutions of the Hunter--Saxton equation
论文作者
论文摘要
在本文中，得出了用于猎人的保守解决方案的收敛数值方法 - 萨克斯顿方程。该方法基于分段线性投影，其次是沿选择时间步长以防止波浪破裂的特征的进化。当时间步与空间步长的平方根成正比时，收敛是获得收敛的，该空间步长的平方根比常见的CFL条件的保护定律是一个温和的限制。
In the article a convergent numerical method for conservative solutions of the Hunter--Saxton equation is derived. The method is based on piecewise linear projections, followed by evolution along characteristics where the time step is chosen in order to prevent wave breaking. Convergence is obtained when the time step is proportional to the square root of the spatial step size, which is a milder restriction than the common CFL condition for conservation laws.
