Skip to content

Commit 823deae

Browse files
hweifluidshweifluids
committed
deploy: 7fdc7f4 
1 parent 0df2cf6 commit 823deae

5 files changed

Lines changed: 11 additions & 87 deletions

File tree

‎.doctrees/3_numerical.doctree‎

-3.79 KB
Binary file not shown.

‎.doctrees/environment.pickle‎

0 Bytes
Binary file not shown.

‎3_numerical.html‎

Lines changed: 0 additions & 76 deletions
Original file line numberDiff line numberDiff line change
@@ -212,82 +212,6 @@
212212
</tr>
213213
</tbody>
214214
</table>
215-
<table class="docutils align-default">
216-
<tbody>
217-
<tr class="row-odd"><td><p><span class="math notranslate nohighlight">\(0\)</span></p></td>
218-
<td colspan="2"><p>丨|</p></td>
219-
<td></td>
220-
<td></td>
221-
<td></td>
222-
<td></td>
223-
<td></td>
224-
</tr>
225-
<tr class="row-even"><td><p><span class="math notranslate nohighlight">\(\frac{5\mp\sqrt{5}}{10}\)</span></p></td>
226-
<td colspan="2"><p>丨| <span class="math notranslate nohighlight">\(\frac{5\mp\sqrt{5}}{10}\)</span></p></td>
227-
<td></td>
228-
<td></td>
229-
<td></td>
230-
<td></td>
231-
<td></td>
232-
</tr>
233-
<tr class="row-odd"><td><p><span class="math notranslate nohighlight">\(\frac{5\pm\sqrt{5}}{10}\)</span></p></td>
234-
<td colspan="2"><p>丨| <span class="math notranslate nohighlight">\(\frac{\mp\sqrt{5}}{10}\)</span></p></td>
235-
<td><p><span class="math notranslate nohighlight">\(\frac{5\pm2\sqrt{5}}{10}\)</span></p></td>
236-
<td></td>
237-
<td></td>
238-
<td></td>
239-
<td></td>
240-
</tr>
241-
<tr class="row-even"><td><p><span class="math notranslate nohighlight">\(\frac{5\mp\sqrt{5}}{10}\)</span></p></td>
242-
<td colspan="2"><p>丨| <span class="math notranslate nohighlight">\(\frac{-15\pm7\sqrt{5}}{20}\)</span></p></td>
243-
<td><p><span class="math notranslate nohighlight">\(\frac{-1\pm\sqrt{5}}{4}\)</span></p></td>
244-
<td><p><span class="math notranslate nohighlight">\(\frac{15\mp7\sqrt{5}}{10}\)</span></p></td>
245-
<td></td>
246-
<td></td>
247-
<td></td>
248-
</tr>
249-
<tr class="row-odd"><td><p><span class="math notranslate nohighlight">\(\frac{5\pm\sqrt{5}}{10}\)</span></p></td>
250-
<td colspan="2"><p>丨| <span class="math notranslate nohighlight">\(\frac{5\mp\sqrt{5}}{60}\)</span></p></td>
251-
<td><p><span class="math notranslate nohighlight">\(0\)</span></p></td>
252-
<td><p><span class="math notranslate nohighlight">\(\frac{1}{6}\)</span></p></td>
253-
<td><p><span class="math notranslate nohighlight">\(\frac{15\pm7\sqrt{5}}{60}\)</span></p></td>
254-
<td></td>
255-
<td></td>
256-
</tr>
257-
<tr class="row-even"><td><p><span class="math notranslate nohighlight">\(\frac{5\mp\sqrt{5}}{10}\)</span></p></td>
258-
<td colspan="2"><p>丨| <span class="math notranslate nohighlight">\(\frac{5\pm\sqrt{5}}{60}\)</span></p></td>
259-
<td><p><span class="math notranslate nohighlight">\(0\)</span></p></td>
260-
<td><p><span class="math notranslate nohighlight">\(\frac{9\mp5\sqrt{5}}{12}\)</span></p></td>
261-
<td><p><span class="math notranslate nohighlight">\(\frac{1}{6}\)</span></p></td>
262-
<td><p><span class="math notranslate nohighlight">\(\frac{-5\pm3\sqrt{5}}{10}\)</span></p></td>
263-
<td></td>
264-
</tr>
265-
<tr class="row-odd"><td><p><span class="math notranslate nohighlight">\(1\)</span></p></td>
266-
<td colspan="2"><p>丨| <span class="math notranslate nohighlight">\(\frac{1}{6}\)</span></p></td>
267-
<td><p><span class="math notranslate nohighlight">\(0\)</span></p></td>
268-
<td><p><span class="math notranslate nohighlight">\(\frac{-55\pm25\sqrt{5}}{12}\)</span></p></td>
269-
<td><p><span class="math notranslate nohighlight">\(\frac{-25\mp7\sqrt{5}}{12}\)</span></p></td>
270-
<td><p><span class="math notranslate nohighlight">\(5\mp2\sqrt{5}\)</span></p></td>
271-
<td><p><span class="math notranslate nohighlight">\(\frac{5\pm\sqrt{5}}{2}\)</span></p></td>
272-
</tr>
273-
<tr class="row-even"><td><p>————————</p></td>
274-
<td colspan="2"><p>丨| ————————</p></td>
275-
<td><p>————————</p></td>
276-
<td><p>————————</p></td>
277-
<td><p>————————</p></td>
278-
<td><p>————————</p></td>
279-
<td><p>————————</p></td>
280-
</tr>
281-
<tr class="row-odd"><td><p><span class="math notranslate nohighlight">\(\frac{1}{12}\)</span></p></td>
282-
<td colspan="2"><p>丨| <span class="math notranslate nohighlight">\(0\)</span></p></td>
283-
<td><p><span class="math notranslate nohighlight">\(0\)</span></p></td>
284-
<td><p><span class="math notranslate nohighlight">\(0\)</span></p></td>
285-
<td><p><span class="math notranslate nohighlight">\(\frac{5}{12}\)</span></p></td>
286-
<td><p><span class="math notranslate nohighlight">\(\frac{5}{12}\)</span></p></td>
287-
<td><p><span class="math notranslate nohighlight">\(\frac{1}{12}\)</span></p></td>
288-
</tr>
289-
</tbody>
290-
</table>
291215
</section>
292216
</section>
293217
<section id="ftle-computation">

‎_sources/3_numerical.rst.txt‎

Lines changed: 10 additions & 10 deletions
Original file line numberDiff line numberDiff line change
@@ -109,25 +109,25 @@ This scheme incurs a global error of order with six velocity evaluations.
109109
+-----------------------------+-------------------------------+----------------------------+---------------------------------+------------------------------+-----------------------------+--------------------------+
110110

111111

112-
+-----------------------------------+--+-------------------------------------+----------------------------------+---------------------------------------+------------------------------------+-----------------------------------+--------------------------------+
112+
+-----------------------------------+-+-------------------------------------+----------------------------------+---------------------------------------+------------------------------------+-----------------------------------+--------------------------------+
113113
| :math:`0` |丨| | | | | | |
114-
+-----------------------------------+----------------------------------------+----------------------------------+---------------------------------------+------------------------------------+-----------------------------------+--------------------------------+
114+
+-----------------------------------+-+-------------------------------------+----------------------------------+---------------------------------------+------------------------------------+-----------------------------------+--------------------------------+
115115
| :math:`\frac{5\mp\sqrt{5}}{10}` |丨| :math:`\frac{5\mp\sqrt{5}}{10}` | | | | | |
116-
+-----------------------------------+----------------------------------------+----------------------------------+---------------------------------------+------------------------------------+-----------------------------------+--------------------------------+
116+
+-----------------------------------+-+-------------------------------------+----------------------------------+---------------------------------------+------------------------------------+-----------------------------------+--------------------------------+
117117
| :math:`\frac{5\pm\sqrt{5}}{10}` |丨| :math:`\frac{\mp\sqrt{5}}{10}` | :math:`\frac{5\pm2\sqrt{5}}{10}` | | | | |
118-
+-----------------------------------+----------------------------------------+----------------------------------+---------------------------------------+------------------------------------+-----------------------------------+--------------------------------+
118+
+-----------------------------------+-+-------------------------------------+----------------------------------+---------------------------------------+------------------------------------+-----------------------------------+--------------------------------+
119119
| :math:`\frac{5\mp\sqrt{5}}{10}` |丨| :math:`\frac{-15\pm7\sqrt{5}}{20}` | :math:`\frac{-1\pm\sqrt{5}}{4}` | :math:`\frac{15\mp7\sqrt{5}}{10}` | | | |
120-
+-----------------------------------+----------------------------------------+----------------------------------+---------------------------------------+------------------------------------+-----------------------------------+--------------------------------+
120+
+-----------------------------------+-+-------------------------------------+----------------------------------+---------------------------------------+------------------------------------+-----------------------------------+--------------------------------+
121121
| :math:`\frac{5\pm\sqrt{5}}{10}` |丨| :math:`\frac{5\mp\sqrt{5}}{60}` | :math:`0` | :math:`\frac{1}{6}` | :math:`\frac{15\pm7\sqrt{5}}{60}` | | |
122-
+-----------------------------------+----------------------------------------+----------------------------------+---------------------------------------+------------------------------------+-----------------------------------+--------------------------------+
122+
+-----------------------------------+-+-------------------------------------+----------------------------------+---------------------------------------+------------------------------------+-----------------------------------+--------------------------------+
123123
| :math:`\frac{5\mp\sqrt{5}}{10}` |丨| :math:`\frac{5\pm\sqrt{5}}{60}` | :math:`0` | :math:`\frac{9\mp5\sqrt{5}}{12}` | :math:`\frac{1}{6}` | :math:`\frac{-5\pm3\sqrt{5}}{10}` | |
124-
+-----------------------------------+----------------------------------------+----------------------------------+---------------------------------------+------------------------------------+-----------------------------------+--------------------------------+
124+
+-----------------------------------+-+-------------------------------------+----------------------------------+---------------------------------------+------------------------------------+-----------------------------------+--------------------------------+
125125
| :math:`1` |丨| :math:`\frac{1}{6}` | :math:`0` | :math:`\frac{-55\pm25\sqrt{5}}{12}` | :math:`\frac{-25\mp7\sqrt{5}}{12}` | :math:`5\mp2\sqrt{5}` | :math:`\frac{5\pm\sqrt{5}}{2}` |
126-
+-----------------------------------+----------------------------------------+----------------------------------+---------------------------------------+------------------------------------+-----------------------------------+--------------------------------+
126+
+-----------------------------------+-+-------------------------------------+----------------------------------+---------------------------------------+------------------------------------+-----------------------------------+--------------------------------+
127127
| ———————— |丨| ———————— | ———————— | ———————— | ———————— | ———————— | ———————— |
128-
+-----------------------------------+----------------------------------------+----------------------------------+---------------------------------------+------------------------------------+-----------------------------------+--------------------------------+
128+
+-----------------------------------+-+-------------------------------------+----------------------------------+---------------------------------------+------------------------------------+-----------------------------------+--------------------------------+
129129
| :math:`\frac{1}{12}` |丨| :math:`0` | :math:`0` | :math:`0` | :math:`\frac{5}{12}` | :math:`\frac{5}{12}` | :math:`\frac{1}{12}` |
130-
+-----------------------------------+--+-------------------------------------+----------------------------------+---------------------------------------+------------------------------------+-----------------------------------+--------------------------------+
130+
+-----------------------------------+-+-------------------------------------+----------------------------------+---------------------------------------+------------------------------------+-----------------------------------+--------------------------------+
131131

132132

133133

0 commit comments

Comments
 (0)