NUMERICAL ANALYSIS : M171/C171

GENERAL INFORMATION

• MATLAB RELATED MATERIALS
  • Crash Course in MATLAB, by Tobin Driscoll, University of Delaware
  • Matlab tutorial - University of New Hampshire
  • Matlab tutorial - US Naval Academy
  • Matlab tutorial - University of British Columbia
  • Matlab tutorial - University of Florida
  • Matlab tutorial - University of California at Los Angeles
• Mathtools.net: a technical computing portal for scientific and engineering needs.
• Some Unix Commands
• Some Emacs Keyboard Commands
• An Overview of Numerical Analysis as discussed by Kendall Atkinson.
• The Definition of Numerical Analysis as discussed by L. N. Trefethen.
• Maxims of L. N. Trefethen.

E_mail: Kendall-Atkinson@uiowa.edu

Assignments

"The purpose of computing is insight, not numbers." - Richard Hamming

I include this quote to indicate that I want something more than pages of output when assigning problems requiring computing. Comment on your output and on the process by which it was produced. Discuss the numerical method used in light of the output you produce. Using carefully chosen graphs is often a good means of giving additional insight.

Lectures and Miscellaneous notes

• Chapter 6 - Numerical Solution of Ordinary Differential Equations
  1. Section 6-1
     Matlab program dirfield.m
     Matlab program linekea.m
  2. Section 6-2
     Matlab program euler.m.
     Fortran program for Euler's method
     Numerical example for Euler's method.
  3. Section 6-3
  4. Section 6-4
  5. Section 6-5
     Matlab program trapzoid.m.
  6. Section 6-6
     Output from DETRAP.
  7. Section 6-7
     Introductory usage comments to ddeabm.f
     ODE solvers available in Matlab.
  8. Section 6-8
  9. Section 6-9
  10. Section 6-10
      Example: Taylor series method
      Runge-Kutta example: Order 2
      The Fortran program fehl45.f. This is a non-automatic implementation of the RFK (4,5) pair of formulas.
  11. Section 6-11
• Chapter 7 - Linear Algebra
  1. Section 7.1
  2. Section 7.2
  3. Section 7.3
  4. Section 7.4
• Chapter 8 - Numerical Solution of Systems of Linear Equations
  1. Section 8.1
  2. Section 8.2
  3. Section 8.3
     LAPACK archive at NETLIB
     The Fortran LINPACK program dgeco.f, along with dgefa.f, dgesl.f, and auxiliary level 1 BLAS.
     The Fortran program tridgl.f for solving tridiagonal systems.
  4. Section 8.4
  5. Section 8.5
     Residual correction example, using a discretization of an integral equation.
     Residual correction example - Output.
     The Fortran program for the residual correction example.
  6. Section 8.6
  7. Section 8.7
  8. Section 8.8
     Poisson equation example
  9. Section 8.9
• Chapter 9 - Numerical Solution of Eigenvalue Problems
  1. Section 9.1
  2. Section 9.2
     Fortran program power.f
     Power method example
  3. Section 9.3
  4. Section 9.4
  5. Section 9.5
     QR method - full matrix example
     QR method - tridiagonal matrix example
     Accelerated QR method - tridiagonal matrix example
  6. Section 9.6
  7. Section 9.7

Sketch A Function

CONDENSED PRINTING

To condense and print two postscript pages on a single regular sized sheet of paper, use the command
psnup -pletter -nup 2 input_file.ps output_file.ps
This produces a new postscript file, and it can then be printed using your usual print command for such files.

Atkinson's home page