You signed in with another tab or window. Reload to refresh your session.You signed out in another tab or window. Reload to refresh your session.You switched accounts on another tab or window. Reload to refresh your session.Dismiss alert
Copy file name to clipboardExpand all lines: _posts/2020-08-23-simplexquads.md
+1-1
Original file line number
Diff line number
Diff line change
@@ -24,7 +24,7 @@ Why bother with Legendre Polynomials? They have a number of great properties tha
24
24
* They are a complete system (have good approximation properties for functions of lesser degree).
25
25
* They exclude the end points (sometimes a negative).
26
26
27
-
We will be working with normalised Legendre Polynomials (Monomials). That means that the value each polynomial is one at x=1. This has a number of consequences but the most useful one is that we can construct the sequence of polynomials up to degree n simply by applying the orthogonality condition.
27
+
We will be working with normalised Legendre Polynomials (monic polynomials). That means that the value each polynomial is one at x=1. This has a number of consequences but the most useful one is that we can construct the sequence of polynomials up to degree n simply by applying the orthogonality condition.
28
28
29
29
The first Legendre polynomial is the function equal to 1 everywhere on the interval [-1,1]. Then the next polynomial of one degree higher must be equal f(x)=x. In fact because of the first polynomial, all of the following polynomials will integrate to zero over the domain.
0 commit comments