File: PetscDTJacobiNorm.html

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   <div id="version" align=right><b>petsc-3.14.5 2021-03-03</b></div>
   <div id="bugreport" align=right><a href="mailto:petsc-maint@mcs.anl.gov?subject=Typo or Error in Documentation &body=Please describe the typo or error in the documentation: petsc-3.14.5 v3.14.5 docs/manualpages/DT/PetscDTJacobiNorm.html "><small>Report Typos and Errors</small></a></div>
<A NAME="PetscDTJacobiNorm"><H1>PetscDTJacobiNorm</H1></A>
Compute the weighted L2 norm of a Jacobi polynomial. 
<H3><FONT COLOR="#CC3333">Synopsis</FONT></H3>
<PRE>
#include "petscdt.h" 
<A HREF="../Sys/PetscErrorCode.html#PetscErrorCode">PetscErrorCode</A> <A HREF="../DT/PetscDTJacobiNorm.html#PetscDTJacobiNorm">PetscDTJacobiNorm</A>(<A HREF="../Sys/PetscReal.html#PetscReal">PetscReal</A> alpha, <A HREF="../Sys/PetscReal.html#PetscReal">PetscReal</A> beta, <A HREF="../Sys/PetscInt.html#PetscInt">PetscInt</A> n, <A HREF="../Sys/PetscReal.html#PetscReal">PetscReal</A> *norm)
</PRE>
$\| P^{\alpha,\beta}_n \|_{\alpha,\beta}^2 = \int_{-1}^1 (1 + x)^{\alpha} (1 - x)^{\beta} P^{\alpha,\beta}_n (x)^2 dx.$
<P>
<H3><FONT COLOR="#CC3333">Input Arguments</FONT></H3>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>alpha </B></TD><TD>- the left exponent &gt; -1
</TD></TR></TABLE>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>beta </B></TD><TD>- the right exponent &gt; -1
+ n - the polynomial degree
</TD></TR></TABLE>
<P>
<H3><FONT COLOR="#CC3333">Output Arguments</FONT></H3>
<TABLE border="0" cellpadding="0" cellspacing="0">
<TR><TD WIDTH=40></TD><TD ALIGN=LEFT VALIGN=TOP><B>norm </B></TD><TD>- the weighted L2 norm
</TD></TR></TABLE>
<P>

<P>
<H3><FONT COLOR="#CC3333">See Also</FONT></H3>
 <A HREF="../DT/PetscDTJacobiEval.html#PetscDTJacobiEval">PetscDTJacobiEval</A>()
<BR><P><B></B><H3><FONT COLOR="#CC3333">Level</FONT></H3>beginner<BR>
<H3><FONT COLOR="#CC3333">Location</FONT></H3>
</B><A HREF="../../../src/dm/dt/interface/dt.c.html#PetscDTJacobiNorm">src/dm/dt/interface/dt.c</A>
<BR><A HREF="./index.html">Index of all DT routines</A>
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<BR><A HREF="../singleindex.html">Index of all manual pages</A>
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