Initial conditions for numerical relativity: Introduction to numerical methods for solving elliptic pdes

Hirotada Okawa*

*この研究の対応する著者

研究成果: Article査読

13 被引用数 (Scopus)

抄録

Numerical relativity became a powerful tool to investigate the dynamics of binary problems with black holes or neutron stars as well as the very structure of General Relativity. Although public numerical relativity codes are available to evolve such systems, a proper understanding of the methods involved is quite important. Here, we focus on the numerical solution of elliptic partial differential equations. Such equations arise when preparing initial data for numerical relativity, but also for monitoring the evolution of black holes. Because such elliptic equations play an important role in many branches of physics, we give an overview of the topic, and show how to numerically solve them with simple examples and sample codes written in C++ and Fortran90 for beginners in numerical relativity or other fields requiring numerical expertise.

本文言語English
論文番号1340016
ジャーナルInternational Journal of Modern Physics A
28
22-23
DOI
出版ステータスPublished - 2013 9月 20
外部発表はい

ASJC Scopus subject areas

  • 原子分子物理学および光学
  • 核物理学および高エネルギー物理学
  • 天文学と天体物理学

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