From 10039f8f1809c77ab540a66da85148a4db16bad6 Mon Sep 17 00:00:00 2001 From: Sam0h51 <75147348+Sam0h51@users.noreply.github.com> Date: Mon, 19 Feb 2024 11:50:44 -0700 Subject: [PATCH 1/4] Added Bibliography --- Swift-Hohenberg-Solver/Sources.bib | 6 ++++++ 1 file changed, 6 insertions(+) create mode 100644 Swift-Hohenberg-Solver/Sources.bib diff --git a/Swift-Hohenberg-Solver/Sources.bib b/Swift-Hohenberg-Solver/Sources.bib new file mode 100644 index 00000000..202b79b9 --- /dev/null +++ b/Swift-Hohenberg-Solver/Sources.bib @@ -0,0 +1,6 @@ +@misc{Gurevich, + author = {Svetlana Gurevich}, + title = {Chapter 4: Swift-Hohenberg Equation}, + publisher={Universit\:at M\:unster}, + url={https://www.uni-muenster.de/Physik.TP/archive/fileadmin/lehre/NumMethoden/SoSe10/Skript/SH.pdf} +} \ No newline at end of file From f3324e0a747b849aecd9a0c813c697cd5b3ee5e2 Mon Sep 17 00:00:00 2001 From: Sam0h51 <75147348+Sam0h51@users.noreply.github.com> Date: Mon, 19 Feb 2024 11:55:32 -0700 Subject: [PATCH 2/4] Update README.md --- Swift-Hohenberg-Solver/README.md | 10 ++++++++-- 1 file changed, 8 insertions(+), 2 deletions(-) diff --git a/Swift-Hohenberg-Solver/README.md b/Swift-Hohenberg-Solver/README.md index e3b8969b..3a5ac6e5 100755 --- a/Swift-Hohenberg-Solver/README.md +++ b/Swift-Hohenberg-Solver/README.md @@ -1,3 +1,9 @@ +--- +title: "Swift-Hohenberg Solver Write-up" +bibliography: references.bib +link-citations: true +--- + # Introduction This program is used to solve the generalized Swift-Hohenberg equation @@ -15,7 +21,7 @@ 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. To summarize, this code solves: +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: @f{align*}{ \frac{\partial u}{\partial t} = 0.3u - (1 + \Delta)^2 u + g_1 u^2 - u^3 @@ -259,4 +265,4 @@ 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) \ No newline at end of file +![image](./doc/images/Sinusoid_Random_Table.png) 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 3/4] 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 3a5ac6e5..c618855f 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. From 29a238940d82c4d8bd0a178dbe7ac654359e5ab0 Mon Sep 17 00:00:00 2001 From: Sam0h51 <75147348+Sam0h51@users.noreply.github.com> Date: Mon, 19 Feb 2024 15:23:15 -0700 Subject: [PATCH 4/4] Delete Swift-Hohenberg-Solver/Sources.bib Deleted the bibliography file, found a simpler way to include source in the write-up --- Swift-Hohenberg-Solver/Sources.bib | 6 ------ 1 file changed, 6 deletions(-) delete mode 100644 Swift-Hohenberg-Solver/Sources.bib diff --git a/Swift-Hohenberg-Solver/Sources.bib b/Swift-Hohenberg-Solver/Sources.bib deleted file mode 100644 index 202b79b9..00000000 --- a/Swift-Hohenberg-Solver/Sources.bib +++ /dev/null @@ -1,6 +0,0 @@ -@misc{Gurevich, - author = {Svetlana Gurevich}, - title = {Chapter 4: Swift-Hohenberg Equation}, - publisher={Universit\:at M\:unster}, - url={https://www.uni-muenster.de/Physik.TP/archive/fileadmin/lehre/NumMethoden/SoSe10/Skript/SH.pdf} -} \ No newline at end of file