Recent analytical and numerical techniques applied to the Einstein equations

被引：0

作者：

Neilsen, D ^{[1
]}

Lehner, L

Sarbach', O

Tigliol, N

机构：

[1] Louisiana State Univ, Dept Phys & Astron, Baton Rouge, LA 70803 USA

[2] Brigham Young Univ, Dept Phys & Astron, Provo, UT 84602 USA

[3] CALTECH, Theoret Astrophys, Pasadena, CA 91125 USA

[4] Louisiana State Univ, Ctr Computat & Technol, Baton Rouge, LA 70803 USA

[5] Cornell Univ, Ctr Radiophys & Space Res, Ithaca, NY 14853 USA

来源：

ANALYTICAL AND NUMERICAL APPROACHES TO MATHEMATICAL RELATIVITY | 2006年 / 692卷

关键词：

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Combining deeper insight of Einstein's equations with sophisticated numerical techniques promises the ability to construct accurate numerical implementations of these equations. We illustrate this in two examples, the numerical evolution of "bubble" and single black hole space-times. The former is chosen to demonstrate how accurate numerical solutions can answer open questions and even reveal unexpected phenomena. The latter illustrates some of the difficulties encountered in three-dimensional black hole simulations, and presents some possible remedies.

引用

页码：223 / +

页数：3

共 50 条

[1] RECENT RESULTS IN NUMERICAL-INTEGRATION OF EXACT EINSTEIN EQUATIONS
PACHNER, J
ANNALS OF THE NEW YORK ACADEMY OF SCIENCES, 1975, 262 (OCT15) : 141 - 144
[2] A modelling approach for coupling numerical analytical techniques applied in microsystems
Xue, Xiangdong
Lu, Hua
Bailey, Chris
ICEPT: 2007 8TH INTERNATIONAL CONFERENCE ON ELECTRONICS PACKAGING TECHNOLOGY, PROCEEDINGS, 2007, : 204 - 211
[3] Numerical solution of the Einstein equations
Bartnik, R
Norton, A
COMPUTATIONAL TECHNIQUES AND APPLICATIONS: CTAC 97, 1998, : 91 - 98
[4] Techniques for solving the boundary-layer equations - Analytical and numerical approaches
Harris, SD
Ingham, DB
EMERGING TECHNOLOGIES AND TECHNIQUES IN POROUS MEDIA, 2004, : 43 - 64
[5] Analytical and numerical techniques
Previews of Heat and Mass Transfer, 1993, 19 (03):
[6] Analytical and numerical techniques
Previews of Heat and Mass Transfer, 1993, 19 (02):
[7] Analytical and numerical techniques
Previews of Heat and Mass Transfer, 1993, 19 (05):
[8] Analytical and numerical techniques
Previews of Heat and Mass Transfer, 1990, 16 (05):
[9] Parametrized numerical scheme for the Einstein equations
Hoshino, Hidetomo
Satoh, Kei
Yoneda, Gen
JSIAM LETTERS, 2021, 13 : 13 - 16
[10] Formulations of the Einstein Equations for Numerical Simulations
Shinkai, Hisaaki
JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 2009, 54 (06) : 2513 - 2528

← 1 2 3 4 5 →