]> https://gitweb.dealii.org/ - dealii-svn.git/commitdiff
Augment documentation.
authorbangerth <bangerth@0785d39b-7218-0410-832d-ea1e28bc413d>
Mon, 20 Jun 2011 13:53:43 +0000 (13:53 +0000)
committerbangerth <bangerth@0785d39b-7218-0410-832d-ea1e28bc413d>
Mon, 20 Jun 2011 13:53:43 +0000 (13:53 +0000)
git-svn-id: https://svn.dealii.org/trunk@23847 0785d39b-7218-0410-832d-ea1e28bc413d

deal.II/include/deal.II/base/polynomial.h

index 59d75e9a36529e42943072a93bd2923f61acfc57..9658c98152ce9dce161d6b5d2217910d74cfa319 100644 (file)
@@ -387,11 +387,17 @@ namespace Polynomials
 
 
 /**
- * Legendre polynomials of arbitrary degree on <tt>[0,1]</tt>.
- *
+ * Legendre polynomials of arbitrary degree.
  * Constructing a Legendre polynomial of degree <tt>p</tt>, the coefficients
  * will be computed by the three-term recursion formula.
  *
+ * @note The polynomials defined by this class differ in two aspects by what
+ * is usually referred to as Legendre polynomials: (i) This classes defines
+ * them on the reference interval $[0,1]$, rather than the commonly used
+ * interval $[-1,1]$. (ii) The polynomials have been scaled in such a way that
+ * they are orthonormal, not just orthogonal; consequently, the polynomials do
+ * not necessarily have boundary values equal to one.
+ *
  * @author Guido Kanschat, 2000
  */
   class Legendre : public Polynomial<double>

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