Algorithms, Scientific Computing, and Numerical Studies in Classical and Quantum General Relativity

将开发一套全面的新算法和科学计算工具，以更高的效率对二元黑洞碰撞的建模进行数值研究。将开发符号操作工具，使用量子场论的技术自动化并获得爱因斯坦方程的高阶后牛顿展开式。 异构计算的使用，更具体地说，通用图形处理单元（GPU）在数值相对论将被探讨。该项目开发的工具旨在探索双黑洞碰撞的物理学，预计这将是LIGO和丽莎等地面和空间干涉仪探测到的引力波的主要来源之一。参数空间是如此之大，需要新的计算范式来探索它。这个项目的结果应该在广义相对论，引力波，符号计算代数，场论和高性能计算的广泛领域感兴趣。

A comprehensive set of new algorithmic and scientific computing tools to numerically investigate the modeling of binary black hole collisions with higher efficiency will be developed. Symbolic manipulation tools to automatize and obtain higher order post-Newtonian expansions of the Einstein equations using techniques from Quantum Field Theory will be developed.  The use of heterogeneous computing and, more specifically, general purpose Graphics Processing Units (GPUs) in numerical relativity will be explored. The tools developed in this project aim to explore the physics of binary black hole collisions, expected to be one of the main sources of gravitational waves to be detected by ground- and space-based interferometers such as LIGO and LISA. The parameter space is so large that new computing paradigms are needed to explore it. The results of this project should be of interest in the broad areas of general relativity, gravitational waves, symbolic computing algebra, field theory, and high performance computing.