!-------------------------------------- LICENCE BEGIN ------------------------------------
!Environment Canada - Atmospheric Science and Technology License/Disclaimer,
! version 3; Last Modified: May 7, 2008.
!This is free but copyrighted software; you can use/redistribute/modify it under the terms
!of the Environment Canada - Atmospheric Science and Technology License/Disclaimer
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!
!This software is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY;
!without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
!See the above mentioned License/Disclaimer for more details.
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!-------------------------------------- LICENCE END --------------------------------------
***S/P PRODEF
SUBROUTINE PRODEF(PU,U,SD,N,MAX)
*
#include "impnone.cdk"
INTEGER N,MAX
REAL PU(MAX,2),U(N),SD(N)
*
*Author
* J. Cote (RPN 1983)
*
*Revision
* 001 J. Cote RPN(Nov 1984)SEF version documentation
* 002 M. Lepine - RFE model code revision project (Feb 87)
*
*Object
* to prepare product of finite-element operator by U
*
*Arguments
*
* - Output -
* PU product of finite-element operator by U
* PU(*,1) sub-diagonal
* PU(*,2) diagonal
*
* - Input -
* U multiplicative function
* SD intervals (N)
* N finite-element space dimension
* MAX 1st dimension of PU
*
*
**
*
REAL T,D
INTEGER J
*
SD(N)=0.0
T=3.0
D=1.0/12.0
PU(1,1)=0.0
PU(1,2)=D*SD(1)*(T*U(1)+U(2))
*
DO 1 J=2,N-1
*
PU(J,1)=D*SD(J-1)*(U(J-1)+U(J))
1 PU(J,2)=D*(SD(J-1)*(U(J-1)+T*U(J))+SD(J)*(T*U(J)+U(J+1)))
*
PU(N,1)=D*SD(N-1)*(U(N-1)+U(N))
PU(N,2)=D*SD(N-1)*(U(N-1)+T*U(N))
*
RETURN
END