标题： 三维空间中测试场的双曲面演化 显示英文标题

标题： Hyperboloidal evolution of test fields in three spatial dimensions

摘要： 我们提出了在给定背景下的3+1形式中双曲偏微分方程的外边界和辐射提取问题的干净解的数值实现。 我们的方法基于在类空无穷远处的紧化和双曲scri固定坐标。 我们报告了在闵可夫斯基和施瓦茨希尔德背景下的标量波方程的数值测试。 我们讨论了与爱因斯坦方程的双曲方法实现相关的问题，例如非线性源函数、匹配以及在类空无穷远处形式奇异项的计算。 显示英文摘要

摘要： We present the numerical implementation of a clean solution to the outer boundary and radiation extraction problems within the 3+1 formalism for hyperbolic partial differential equations on a given background. Our approach is based on compactification at null infinity in hyperboloidal scri fixing coordinates. We report numerical tests for the particular example of a scalar wave equation on Minkowski and Schwarzschild backgrounds. We address issues related to the implementation of the hyperboloidal approach for the Einstein equations, such as nonlinear source functions, matching, and evaluation of formally singular terms at null infinity.