書誌事項
- タイトル別名
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- Formulation Problem in Numerical Relativity
- スウチ ソウタイロン ニ オケル テイシキカ モンダイ イッパン ソウタイロン ニ オケル スウチ シミュレーション オ アンテイカ サセル シシン ノ タンキュウ
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説明
We review recent efforts to re-formulate the Einstein equations for fully relativistic numerical simulations in general relativity. The so-called "numerical relativity" is a promising research field matching with ongoing astrophysical observations such as gravitational wave astronomy. Many trials for longterm stable and accurate simulations of binary compact objects have revealed that mathematically equivalent sets of evolution equations show different numerical stability in free evolution schemes. After reviewing the efforts of the community in the decade, we introduce our idea for understanding all the efforts in a unified way using eigenvalue analysis of the constraint propagation equations. The modifications of (or adjustments to) the evolution equations change the character of constraint propagation, and several particular adjustments using constraints are expected to diminish the constraint-violating modes. We propose several new adjusted evolution equations, and present some numerical demonstrations.
収録刊行物
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- 応用数理
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応用数理 15 (1), 2-15, 2005
一般社団法人 日本応用数理学会
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詳細情報 詳細情報について
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- CRID
- 1390001205766829824
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- NII論文ID
- 110001888932
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- NII書誌ID
- AN10288886
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- ISSN
- 09172270
- 24321982
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- NDL書誌ID
- 7297204
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- 本文言語コード
- ja
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- データソース種別
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- JaLC
- NDLサーチ
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可
