[Commits] [svn:einsteintoolkit] Paper_EinsteinToolkit_2010/ (Rev. 297)

[bcmsma at astro.rit.edu]

User: bmundim
Date: 2012/03/13 12:07 AM

Modified:
 /
  ET.tex

Log:
 (2,2) \psi_4 phase and amplitude convergence studies.

File Changes:

Directory: /
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File [modified]: ET.tex
Delta lines: +3 -2
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--- ET.tex	2012-03-13 04:46:44 UTC (rev 296)
+++ ET.tex	2012-03-13 05:07:41 UTC (rev 297)
@@ -2714,10 +2714,11 @@
 In order to evaluate the convergence of the numerical 
 solution, we ran five simulations with different
 resolutions, and focus our analysis on the convergence
-of the phase and amplitude of the Weyl scalar $\Psi_4$. 
+of the phase and amplitude of the Weyl scalar $(2,2)$ mode,
+$\Psi_4^{(2,2)}$. 
 
 Here, we consider the phase $\varphi(t)$ and 
-the amplitude $A(t)$ of the Weyl scalar $\Psi_4$ at 
+the amplitude $A(t)$ of the Weyl scalar $(2,2)$ mode $\Psi_4^{(2,2)}$ at 
 $R_{\rm obs}=60\mathrm{M}$. In order to take differences between 
 the numerical values at two different grid resolutions, we use
 an $8$-th order accurate Lagrange operator to interpolate the higher-accuracy finite difference solution