标题： 爱因斯坦方程在零性准球面坐标系中的第三部分：数值算法 显示英文标题

标题： Einstein equations in the null quasi-spherical gauge III: numerical algorithms

摘要： 我们描述了在构建我们四阶演化方程时使用的数值技术，并评估了代表性解的准确性。 该代码基于一种零规范和准球形径向坐标，并模拟单个黑洞与引力辐射的相互作用。 使用的技术包括球面谐波表示、卷积样条插值和滤波，以及RK4“线方法”演化。 对于“中等”大小的示例初始数据（引力场具有黑洞质量的19%），该代码在零时间z=55时坐标条件失效之前，精度达到10^5分之一。 显示英文摘要

摘要： We describe numerical techniques used in the construction of our 4th order evolution for the full Einstein equations, and assess the accuracy of representative solutions. The code is based on a null gauge with a quasi-spherical radial coordinate, and simulates the interaction of a single black hole with gravitational radiation. Techniques used include spherical harmonic representations, convolution spline interpolation and filtering, and an RK4 "method of lines" evolution. For sample initial data of "intermediate" size (gravitational field with 19% of the black hole mass), the code is accurate to 1 part in 10^5, until null time z=55 when the coordinate condition breaks down.