Some mathematical and numerical questions connected with first and second order time-dependent systems of partial differential equations

被引:0
作者
Kreiss, HO [1 ]
Ortiz, OE [1 ]
机构
[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
来源
CONFORMAL STRUCTURE OF SPACE-TIME: GEOMETRY, ANALYSIS, NUMERICS | 2002年 / 604卷
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D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
There is a tendency to write the equations of general relativity as a first order symmetric system of time dependent partial differential equations. However, for numerical reasons, it might be advantageous to use a second order formulation like one obtained from the ADM equations. We shall discuss the wellposedness of the Cauchy problem for such systems and their advantage in numerical calculations.
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页码:359 / 370
页数:12
相关论文
共 4 条
[1]  
Arnowitt R. L., 1962, GRAVITATION INTRO CU
[2]  
Hübner P, 1999, CLASSICAL QUANT GRAV, V16, P2823, DOI 10.1088/0264-9381/16/9/302
[3]  
Kreiss H.-O., 1989, PURE APPL MATH, V136
[4]  
THORNBURG J, GRQC9906022