Elements of Numerical Relativity and Relativistic Hydrodynamics
Elements of Numerical Relativity and Relativistic Hydrodynamics
复制标题
数值相对论和相对论流体动力学的要素
DOI：
10.1007/978-3-642-01164-1
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发表时间：
2009
影响因子：
2.8
通讯作者：
C. Bona
中科院分区：
文献类型：
--
作者：
C. Bona;C. Palenzuela;C. Bona
目前正在开发许多用于探测引力辐射的大型项目，所有这些项目的目的都是为可观测的宇宙打开一扇新的窗口。因此，数值相对论最近已成为一个主要的研究领域，数值相对论和相对论流体力学的元素是一个有价值的入门研究生和非专业研究人员希望进入该领域。这本书是LNP 673数值相对论要素的修订版和显着扩大版，从数值相对论的最基本见解和方面开始，然后为以下每个关键方面的可靠和方便的选择制定连贯的指导方针：进化形式主义;规范，初始和边界条件;和各种数值算法。除了许多修订，它包括新的，方便的数值实现阻尼条款，最近发展的谐波形式主义的介绍，以及一个广泛的，关于物质时空的新章节，包含对相对论流体力学的全面介绍。虽然适当的参考是给先进的应用程序需要大量的计算资源，大多数测试和应用程序在这本书中可以执行一个标准的PC。
Many large-scale projects for detecting gravitational radiation are currently being developed, all with the aim of opening a new window onto the observable Universe. As a result, numerical relativity has recently become a major field of research, and Elements of Numerical Relativity and Relativistic Hydrodynamics is a valuable primer for both graduate students and non-specialist researchers wishing to enter the field. A revised and significantly enlarged edition of LNP 673 Elements of Numerical Relativity, this book starts with the most basic insights and aspects of numerical relativity before it develops coherent guidelines for the reliable and convenient selection of each of the following key aspects: evolution formalism; gauge, initial, and boundary conditions; and various numerical algorithms. And in addition to many revisions, it includes new, convenient damping terms for numerical implementations, a presentation of the recently-developed harmonic formalism, and an extensive, new chapter on matter space-times, containing a thorough introduction to relativistic hydrodynamics. While proper reference is given to advanced applications requiring large computational resources, most tests and applications in this book can be performed on a standard PC.