Management Information Systems Department

University College Dublin

MMS 402: Numerical Methods & Software

1999-2000

First Semester : Sept 6 to Nov 26

LECTURER: Dr Derek O'Connor

Retired Sept 2000 -- See Home Page

Lectures : 11.30-1.00, N302 and 2.30-4.00, N202 Wednesday

Lab Lecture : 12.00-1.00, N203 Friday

This page was last updated on 18-May-2010

All links below are broken. Go to Numerical Algorithms

Course Outline

This course is an introduction to the fundamentals of numerical computation. It  covers the following topics:

0. Contents

• NOTES Detailed contents are here (nms-cont.pdf)
• Compiler : (for77.zip) When you download this file WinZip will ask to extract. Reply by extracting ALL to wherever you please, If WinZip does not work then download watfor77.exe by right-clicking and saving as watfor77.exe. Better still, install WinZip 7 which is at winzip70.exe and use this to unzip files.

1. Introduction

• NOTES (nms-1.pdf)
• LINKS (prentice.htm)
• ASSIGNMENT 0 : (monty.for) (monty.pdf)

2. Machine Numbers, Arithmetic and Error

• NOTES (nms-2.pdf)(IEEE.pdf)
• LINKS (Pitfalls.eps)( NumBeast.ps) (Failures.html) (Nicely.txt)
• ASSIGNMENT 1 : ()(Notes-Ass-1.pdf)

3. Mathematical Review

• NOTES (nms-3.pdf)

4. Non-Linear Equations:

• NOTES (nms-4.pdf)
• ASSIGNMENT 2 (drvnle.for)(Notes-Ass-2.pdf)

5. Numerical Linear Algebra

• NOTES (nms-5.pdf)
• ASSIGNMENT 3 (NMS-99-3.pdf)(DRVLEQ.ZIP)

6. Unconstrained Optimization

• NOTES (nms-6.pdf)
• see (MO.ps)

Appendices

• Appendix A. Mathematical Review (see Chapter 4 above)
• Appendix B. Fortran Books : ( see Fortran.pdf)
• Appendix C. Programming Assignments and Standards. (Forsty.pdf)
• Appendix D. WATFOR 77 System. (Watfor77.pdf)

Recommended Texts

1. Coleman, T.F., & Van Loan, C. : Handbook for Matrix Computations, SIAM, 1988.
2. Forsythe, G.E. & Moler C.B. : Computer Solution of Linear Algebraic Systems, Prentice-Hall, 1967.
3. Forsythe, G.E., Malcolm, M., and Moler, C.B. : Computer Methods for Mathematical Computations, Prentice-Hall, 1977.
4. Gill, P., Murray, W., and Wright, M : Practical Optimization, Academic Press, 1983.
5. Hager, William W. : Applied Numerical Linear Algebra, Prentice-Hall, 1988.
6. Higham, N.J. : Accuracy and Stability of Numerical Algorithms, SIAM. 1996.
7. Kahaner, D., Moler, C., and Nash, S. : Numerical Methods and Software, Prentice-Hall, 1989.
8. Munro, D. : A Crash Course in FORTRAN 77, Pitman, 1989.
9. Rice, John. R. : Numerical Methods, Software, and Analysis,Wiley, 1983.
10. Stewart, G.W. : Afternotes on Numerical Analysis, SIAM, 1996.
11. Watkins, D.S. : Fundamentals of Matrix Computations, Wiley, 1991.

Not Recommended Texts

1. Press, W.H., Flannery, B.P., Teukolsky, S.A., and Vetterling, W.T. : Numerical Recipes, Cambridge University Press, 1986, and 2nd Ed 1992 (See NR.htm)

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