psn_linalg.h

Finite Volume Poisson PDE Solver

/*psn_lib/psn_linalg.h*/
/***********************************************************************
    Finite Volume Poisson PDE Solver: C-Library & Matlab Toolbox
    Implements numerical solution of Poisson PDE
    in 2D  Cartesian and Cylindrical coordinates

    Copyright (C) 2004 Igor Kaufman
    Copyright (C) 2004 Lancaster University, UK

    This program is free software; you can redistribute it and/or modify
    it under the terms of the GNU General Public License as published by
    the Free Software Foundation; either version 2 of the License, or
    (at your option) any later version.

    This program 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
    GNU General Public License for more details.

    You should have received a copy of the GNU General Public License
    along with this program; if not, write to the Free Software
    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA


    Author's email: [e-mail]

    APPLICATION    : COMMON ROUTINES
    VERSION        : 1.0
************************************************************************/
/*17.01.04*/

#ifndef PSN_LINALG
#define PSN_LINALG

/*
Function to invert tridiagonal matrix equation.
Left, centre, and right diagonal elements of matrix
stored in arrays a, b, c, respectively.
Right-hand side stored in array w.
Solution written to array u.

Matrix is NxN. Arrays a, b, c, w, u assumed to be of extent N+2,
with redundant 0 and N+1 elements.
Code source:http://farside.ph.utexas.edu/teaching/329/lectures/node77.html
*/

int psn_tridiag_solve_low(
   const size_t N,
   const PSN_VECTOR a,
   PSN_VECTOR b,
   const PSN_VECTOR c,
   PSN_VECTOR u
);

int psn_tridiag_solve_std(
   const size_t N,
   const PSN_VECTOR a,
   const PSN_VECTOR b,
   const PSN_VECTOR c,
   const PSN_VECTOR w,
   PSN_VECTOR u
);



#endif