Physics 410: Linear Systems
Please report all errors/typos. etc to
choptuik@physics.ubc.ca
Last updated October 25 2004
- Most of the source code covered in class can be found on
the phy410 account on the lnx machines lnx in
~phys410/linsys/ex1, ... (organized by lecture).
- General References
- Combined handouts (PS)
for the following lectures (does NOT include
Maple Worksheet (Lectures 1 & 2) or
Solving General Linear Banded Systems notes (Lecture 3)).
- Lecture 1 (Oct 26 & Oct 28)
- dgesv.f:
LAPACK driver routine for solving general linear system via
LU decomposition with partial pivoting.
- tdgesv.f: Test
program illustrating use of dgesv.
Makefile
and output on lnx1.
Output on physics.
- Maple worksheet (PS)
which verifies above test.
- Lecture 2 (Oct 28 & Nov 4)
- dgtsv.f:
LAPACK driver routine for solving general tridiagonal system with
partial pivoting.
- bvp1d.f: Test
program illustrating use of dgtsv to solve a 1d
boundary-value problem using second-order finite-difference techniques.
Makefile
and sample output on lnx1.
Plots showing level-8
solution and
error for levels 5, 6 and
7. Gnuplot "scripts"
gpsoln8
and
gperr,
for making solution and error plots.
- Lecture 3 (Nov 4 & Nov 9)
- Handout: Solving General Linear Banded Systems
(PS).
Lecture version: (PS).
- dgbsv.f:
LAPACK driver routine for solving general banded system via
LU decomposition with partial pivoting.
- bvp1d4.f: Test
program illustrating use of dgbsv to solve a 1d
boundary-value problem using mixed second and fourth order
finite-difference techniques.
Makefile
and sample output on lnx1.
Plots showing level-4
solution and
error for levels 4, 5 and
6.