Changes between Version 8 and Version 9 of u/erica/norms

Timestamp:

08/22/13 16:13:36 (11 years ago)

Author:

Erica Kaminski

Comment:

—

u/erica/norms

@@ -78 +78 @@
 [[latex($||e||_{\infty} = max_{(1\leq i\leq mx)} |e_i| $)]]
 
-Now, we see that the error is 
+Now, we see that the error explicitly contains h, and so the equivalence of the different norms is now broken as one varies mx. Also, there seems to be a nice interpretation of e1, it is the average error over the grid. 
+
+= Summary =
+
+There are many different types of error, and describing your definition is important when conveying error estimates. For those quantities that have norms, the order of accuracy is computed by observing the behavior of the ''norm'' over changes in h. Grid functions are a special case, and need to be normalized to the number of cells on the computing domain.