Numerical simulations of Einstein's equations

该奖项支持对二元致密天体（黑洞和中子星）的数值模拟进行精确和高效的研究，以用于对引力波信号源的参数估计，这些信号源将由LIGO等探测器进行测量。这些模拟还将用于校准和驱动忠实的半解析引力波模板的构建，用于（例如）LIGO数据分析中的参数估计。用于黑洞和中子星模拟的主要数值技术将是高阶和伪谱多域方法。特别的努力将花在扩展双星模拟的方法上，利用这些技术一直到合并和环衰机制。该项目将通过结合新的分析和数值技术的应用和发展，解决目前在以非常高的精度研究合并二元致密物体发出的引力波的能力方面的障碍。最终目标是发展数值和半解析模型，可以用来从探测到的信号推断引力波的来源。该项目的成果将对计算相对论、引力波建模和探测等领域产生广泛的影响，并可能推动一些新的数值技术的发展，这在涉及时间相关问题的计算物理的相当普遍的领域应该是有用的。

This award supports research in numerical simulations of binary compact objects (black holes and neutron stars) accurate and efficient enough to be used for parameter estimation of sources of gravitational wave signals to be measured by detectors such as LIGO.These simulations will also be used to calibrate and drive the construction of faithful semi-analytical gravitational wave templates for parameter estimation in (e.g.) LIGO data analysis. The main numerical techniques to be used for both black hole and neutron star simulations will behigh order and pseudo-spectral multi-domain methods. Special effort will be spent on methods for extending binary simulations of orbiting compact objects using these techniques all the way to the merger and ring-down regimes.This project will address current obstacles in the ability to study with very high accuracy the gravitational waves emitted by coalescing binary compact objects, by combining the application and development of novel analytical and numerical techniques. The final goal is to develop both numerical and semi-analytical models that can be used to infer the sources of gravitational waves from their detected signals. The results of this project will have a broad impact on areas of computational relativity, modeling and detection of gravitational waves, and will likely drive the development of some new numerical techniques, which should be useful in rather general fields of computational physics involving time-dependent problems.