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author | allen <allen@f5a6acaf-da7d-456b-b0a8-35edbc60b392> | 2001-12-19 13:11:07 +0000 |
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committer | allen <allen@f5a6acaf-da7d-456b-b0a8-35edbc60b392> | 2001-12-19 13:11:07 +0000 |
commit | a116af30186ae20295586359e60f73499514ed45 (patch) | |
tree | 3a03db459d1432b9c335591964b6d313050eeb2e /doc/documentation.tex | |
parent | 2f1d18ab9d75324b8084541941c699f5eafbae6f (diff) |
Adding Gaussian solution for the point r=0 (thanks to Horst Beyer for this)
git-svn-id: http://svn.cactuscode.org/arrangements/CactusWave/IDScalarWave/trunk@51 f5a6acaf-da7d-456b-b0a8-35edbc60b392
Diffstat (limited to 'doc/documentation.tex')
-rw-r--r-- | doc/documentation.tex | 7 |
1 files changed, 6 insertions, 1 deletions
diff --git a/doc/documentation.tex b/doc/documentation.tex index 3a63740..5cf9d16 100644 --- a/doc/documentation.tex +++ b/doc/documentation.tex @@ -77,7 +77,12 @@ The initial profile is \begin{equation} \phi(r) = A \exp (- r^2/\sigma) \end{equation} -and is set with the parameters +with the solution at the origin being +\begin{equation} +\Psi(r=0,t) = \left(1-2\frac{t^2}{\sigma}\right)\exp(-t^2/\sigma) +\end{equation} + +The Gaussian solution is set with the parameters \begin{itemize} \item {\tt amplitude} = $A$ |