标题： 一种制造波浪的新方法 显示英文标题

标题： A New Way to Make Waves

摘要： 我描述了一种新的求解非线性波动方程的算法。 在这种方法中，演化发生在特征超曲面上。 该算法可以直接应用于电磁场、杨-米尔斯场和引力场以及其他由二阶双曲微分方程描述的系统。 基本思想也应适用于流体力学。 这是一种特别准确且高效的方法，用于模拟特征良好的区域中的波。 该算法的主要应用是柯西-特征匹配，在这种情况下，这种新方法与标准柯西演化相匹配以获得全局解。 在一个非线性波的模型问题中，这被证明比任何其他现有的柯西外边界条件赋值方法都更准确和高效。 该方法的开发是为了计算两个黑洞碰撞产生的引力波信号。 本文给出了一个关于碰撞黑洞的应用。 显示英文摘要

摘要： I describe a new algorithm for solving nonlinear wave equations. In this approach, evolution takes place on characteristic hypersurfaces. The algorithm is directly applicable to electromagnetic, Yang-Mills and gravitational fields and other systems described by second differential order hyperbolic equations. The basic ideas should also be applicable to hydrodynamics. It is an especially accurate and efficient way for simulating waves in regions where the characteristics are well behaved. A prime application of the algorithm is to Cauchy-characteristic matching, in which this new approach is matched to a standard Cauchy evolution to obtain a global solution. In a model problem of a nonlinear wave, this proves to be more accurate and efficient than any other present method of assigning Cauchy outer boundary conditions. The approach was developed to compute the gravitational wave signal produced by collisions of two black holes. An application to colliding black holes is presented.