Physics 381C: Linear Systems with Finite Difference Applications
Please report all errors/typos. etc to
matt@infeld.ph.utexas.edu
- General References
- Supplementary Material
- 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 SGIs.
Output on Cray J90.
- Maple worksheet (PS)
which verifies above test.
- Lectures 2 and 3 (Feb 27, Mar 4)
- dgtsv.f:
LAPACK driver routine for solving general tridiagonal system with
no 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 SGIs.
Plots showing level-8
solution
[gnuplot source]
and
error
[gnuplot source]
for levels 5, 6 and 7.
- Lecture 4 (Mar 6)
- Supplementary Notes---Expected Behaviour of FDAs:
(PS)
- Lecture Notes--Solving General Banded Linear Systems:
(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 SGIs.
Plots showing level-4
solution
[gnuplot source]
and
error
[gnuplot source]
for levels 4, 5 and 6.