From 4187df3c96a3da6ed689f0a52d86c51d95f57ad5 Mon Sep 17 00:00:00 2001 From: Gaspard Jankowiak Date: Mon, 31 Jan 2022 13:10:21 +0100 Subject: [PATCH] [numerics] improve dAJLR --- css/screen.scss | 8 +++++++- numérique/dAJLR.markdown | 31 +++++++++++++++++++------------ 2 files changed, 26 insertions(+), 13 deletions(-) diff --git a/css/screen.scss b/css/screen.scss index 73abe6e..2d71c4c 100644 --- a/css/screen.scss +++ b/css/screen.scss @@ -86,10 +86,13 @@ footer { font-size: 75%; padding-bottom: 175px; } em { font-style: italic; } table { width: 100%; } -thead { color: $dim; } +/*thead { color: $dim; }*/ th, td { padding: 0.3em; } tr { border-bottom: 1px dotted $tr-rule; } +table.bordered { border-collapse: collapse; } +table.bordered tr { border-top: 1px solid #bbb; border-bottom: 1px solid #bbb; } + .publi_table td:nth-child(1) { width: 30%; } .publi_table td:nth-child(2) { width: 60%; } .publi_table td:nth-child(3) { width: 10%; } @@ -137,6 +140,9 @@ ol li:hover { border-right: 3px solid $links; padding-right: 7px; } #http_code { text-align: center; font-size: 10em; line-height: 1em; } +.footnotes { font-size: 0.8em; padding-left: 1em; margin-top: 2em;} +.footnotes ol li { padding: 0; border: none; } + @media (max-width: $small-width) { body { font-size: 80%; } } diff --git a/numérique/dAJLR.markdown b/numérique/dAJLR.markdown index 7fea99e..38b750d 100644 --- a/numérique/dAJLR.markdown +++ b/numérique/dAJLR.markdown @@ -2,23 +2,30 @@ layout: default math: true lang: en +subtitle: Curves with modulated stiffness --- ## Parameters: -- $N = 180$ -- $L = 2π$ -- $M = 0$ -- $\mu = 10^{-2}$ +|$N$|$L$|$M$|$\mu$| +|-| +|$180$|$2\pi$|$0$|$10^{-2}$| +|-| +{:.bordered.center} -## Results ($c_0 = 0$): -- $\beta \equiv 1$: [movie](/s/numerics/dAJLR/beta=1.mp4) -- symmetric double well ($\beta(x) = 1.01 + (x - 1)^2 (x + 1)^2$): [movie](/s/numerics/dAJLR/sym.mp4) -- asymmetric double well ($\beta(x) = 1.2 + (x - 1)^2 (x + 1)^2 + x$): [movie](/s/numerics/dAJLR/asym.mp4) +## Results: -## Results $(c_0 > 0$): +|$c_0$|$\beta$|$t_{max}$, iter$_{max}$|result|comment| +|-| +|$0$|const.||[movie](/s/numerics/dAJLR/beta=1.mp4)| +|$10$|const.||[movie](/s/numerics/dAJLR/const_c0=10.mp4) +|$0$|SDW[^1]||[movie](/s/numerics/dAJLR/sym.mp4)| +|$0.1$|SDW||[movie](/s/numerics/dAJLR/sym-c0=0.1.mp4) +|$1$|SDW||[movie](/s/numerics/dAJLR/sym-c0=1.mp4) +|$0$|ADW[^2]||[movie](/s/numerics/dAJLR/asym.mp4)| +|-| +{:.bordered.center} -- symmetric, $c_0 = 0.1$: [movie](/s/numerics/dAJLR/sym-c0=0.1.mp4) -- symmetric, $c_0 = 1$: [movie](/s/numerics/dAJLR/sym-c0=1.mp4) -- constant, $c_0 = 10$: [movie](/s/numerics/dAJLR/const_c0=10.mp4) +[^1]: ($\beta(x) = 1.01 + (x - 1)^2 (x + 1)^2$)) +[^2]: ($\beta(x) = 1.2 + (x - 1)^2 (x + 1)^2 + x$))