Computer Science – Numerical Analysis
Scientific paper
Dec 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981nyasa.375....1p&link_type=abstract
(AAS, American Physical Society, NASA, et al., Texas Symposium on Relativistic Astrophysics, 10th, Baltimore, MD, Dec. 15-19, 19
Computer Science
Numerical Analysis
4
Boundary Value Problems, Computerized Simulation, Einstein Equations, Numerical Analysis, Relativity, Black Holes (Astronomy), Boundary Conditions, Finite Difference Theory, Gravitational Collapse, Gravitational Waves
Scientific paper
The basic remaining problems in the field of numerical relativity, which is becoming a major tool for the study of relativistic phenomena, are presented along with some recently achieved numerical solutions. The problems include those of (1) initial value; (2) the numerical evolution of the initial data, which is dominated by the inconsistency between the finite differenced evolution equations and the finite differenced constraints; (3) the comparatively simple issue of spherical collapse; and (4) the definition of cylindrical and spherical configuration coordinates. It is suggested that the goal of a fully general code which will work for every coordinate system, boundary condition and initial data set may be achieved only after the entire process of numerical code construction can be performed by a computer. The first step of any such procedure, algebraic manipulation of Einstein equations by a computer, has already been achieved.
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