From 9d9e07611fa5888370c0a20a394262ec439a5bc5 Mon Sep 17 00:00:00 2001
From: Sam0h51 <75147348+Sam0h51@users.noreply.github.com>
Date: Mon, 19 Feb 2024 15:21:39 -0700
Subject: [PATCH] Update README.md

Updated the readme to include a citation I was previously unable to find.
---
 Swift-Hohenberg-Solver/README.md | 12 +++++-------
 1 file changed, 5 insertions(+), 7 deletions(-)

diff --git a/Swift-Hohenberg-Solver/README.md b/Swift-Hohenberg-Solver/README.md
index 3a5ac6e..c618855 100755
--- a/Swift-Hohenberg-Solver/README.md
+++ b/Swift-Hohenberg-Solver/README.md
@@ -1,9 +1,3 @@
----
-title: "Swift-Hohenberg Solver Write-up"
-bibliography: references.bib
-link-citations: true
----
-
 # Introduction
 
 This program is used to solve the generalized Swift-Hohenberg equation
@@ -21,7 +15,7 @@ wavelength of $2\pi$. We choose $r = 0.3$ because solutions are
 reasonably well behaved for small values of $r$ and $g_1$, but there
 are interesting behaviors that occur when $g_1$ is smaller or larger
 than $r$ in magnitude, so this allows us room to vary $g_1$ and
-explore these behavior. Additionally, we choose $r = 0.3$ because this matches the parameters used by Gurevich in \cite{Gurevich}. We chose our parameters to match so that we could compare the output of our program to the results presented in \cite{Gurevich}, which was useful for validating that our code was functioning properly during the developement process.  To summarize, this code solves:
+explore these behavior. Additionally, we choose $r = 0.3$ because this matches the parameters used by Gurevich in [1]. We chose our parameters to match so that we could compare the output of our program to the results presented in [1], which was useful for validating that our code was functioning properly during the developement process.  To summarize, this code solves:
 
 @f{align*}{
     \frac{\partial u}{\partial t} = 0.3u - (1 + \Delta)^2 u + g_1 u^2 - u^3
@@ -266,3 +260,7 @@ patterns that form. Each image sequence was taken at times 0, 10, 25,
 ![image](./doc/images/Sphere_Random_Table.png)
 
 ![image](./doc/images/Sinusoid_Random_Table.png)
+
+# References
+
+[1] Svetlana Gurevich. *Chapter 4: Swift-Hohenberg Equation*. url : https://www.uni-muenster.de/Physik.TP/archive/fileadmin/lehre/NumMethoden/SoSe10/Skript/SH.pdf.
-- 
2.39.5