Changes between Version 7 and Version 8 of u/erica/norms

Timestamp:

08/22/13 16:07:04 (11 years ago)

Author:

Erica Kaminski

Comment:

—

u/erica/norms

@@ -71 +71 @@
 Once e(i) is formulated, the norms are now discretized versions of the integral formulas of the previous section. Taking a discretized sum now, and substituting dx=h=L/mx+1, where L is the domain length and mx is the number of computing cells, we have:
 
+[[latex($||e||_1 = h\sum_{i=1} ^{mx} |e_i| $)]]
+
+
+[[latex($||e||_2 = \sqrt{ h\sum_{i=1} ^{mx} |e_i| ^2 }$)]]
+
+[[latex($||e||_{\infty} = max_{(1\leq i\leq mx)} |e_i| $)]]
+
+Now, we see that the error is 
+
+
+