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.

翻译：在文章中,为亨特-萨克斯顿方程式的保守解决方案得出了一个一致的数字方法。该方法以小线性预测为基础,然后按照为预防波断裂而选择时间步骤的特点演变。当时间步骤与空间步骤大小的平方根成正比时,就会取得趋同,因为空间步骤的平方根比保护法中常见的 CFL 条件要温和一些限制。