Skip to content

Commit 20aa851

Browse files
committed
TL: attempt to fix mathjax rendering
1 parent aa72101 commit 20aa851

1 file changed

Lines changed: 4 additions & 4 deletions

File tree

docs/notebooks/14_phiIntegrator.ipynb

Lines changed: 4 additions & 4 deletions
Original file line numberDiff line numberDiff line change
@@ -45,25 +45,25 @@
4545
"and put it in the Picard equation above to get :\n",
4646
"\n",
4747
"$$\n",
48-
"\\begin{align}\n",
48+
"\\begin{aligned}\n",
4949
"e^{k}(t) + u^{k}(t) \n",
5050
" &= e^{k}(t_0) + u^{k}(t_0) + \\int_{t_0}^t f\\left(e^{k}(s) - u^{k}(s), s\\right) ds \\\\\n",
5151
" &= u_0 + \\int_{t_0}^t f\\left(e^{k}(s) + u^{k}(s), s\\right) ds.\n",
52-
"\\end{align}\n",
52+
"\\end{aligned}\n",
5353
"$$\n",
5454
"\n",
5555
"Noting \n",
5656
"$u^{k+1}(t) := e^{k}(t) + u^{k}(t)$\n",
5757
"and adding the difference of the two same integral terms with $u^{k}$ we get :\n",
5858
"\n",
5959
"$$\n",
60-
"\\begin{align}\n",
60+
"\\begin{aligned}\n",
6161
"u^{k+1}(t) \n",
6262
" =&~ u_0 + \\int_{t_0}^t f\\left(u^{k+1}(s), s\\right) ds \\\\\n",
6363
" &- \\int_{t_0}^t f\\left(u^{k}(s), s\\right) ds + \\int_{t_0}^t f\\left(u^{k}(s), s\\right) ds \\\\\n",
6464
" =&~ u_0 + \\int_{t_0}^t f\\left(u^{k+1}(s), s\\right) ds - \\int_{t_0}^t f\\left(u^{k}(s), s\\right) ds \\\\\n",
6565
" &+ \\int_{t_0}^t f\\left(u^{k}(s), s\\right) ds\n",
66-
"\\end{align}\n",
66+
"\\end{aligned}\n",
6767
"$$\n",
6868
"\n",
6969
"$\\phi$**-based Spectral Deferred Correction** : \n",

0 commit comments

Comments
 (0)