Reference Book :

Quick Reference Sheets of Matlab (in pdf): Matlab

Course Outline: The module is designed for graduate students in mathematics as well as in science and engineering. It is intended to provide graduate students with training in algorithms and theory in scientific computation at graduate level as a preparation for further study and research in related areas. It covers the forllowing major topics: Iterative methods for linear systems; Methods for nonlinear system of equations; Numerical methods for ordinary differential equations (ODEs); Fast numerical solvers for elliptic equations. Detail Outline

Grading: The course grade will be calculated as follows:

• Howework and Lab Assignments: 50%;
• Final Project: 50%; due date: 6:00pm, November 30, 2009 (Monday). Here are some possible topics
  • Stiff PDEs:
    • Paper 1
  • Quantum and Plasma Physics:
    • Ground states
    • Dynamics
    • Plasma Physics
  • Imaging Science and Compress Sensing:
    • Paper 1
    • Paper 2
    • Paper 3
    • Paper 4
  • Computational Finance Mathematics
    • Paper 1
    • Paper 2
    • Paper 3
    • Paper 4
    • Paper 5
    • Paper 6
    • Paper 7
    • You can find more papers from ``Mathematical Finance'' or ``Applied Mathematical Finance'' journals
  • Computational Biology:
    • Paper 1
    • Paper 2
  • Computational Fluid Dynamics:
    • Paper 1
    • Paper 2
    • Paper 3
  • Geometric optics:
    • Paper 1
  • You can also find yourself any other scientific papers published in the last five yeras related to scientific computing.

Schedule of tests:

• No Final Exam.

Homework Assignments: click here for assignments

This course outline is available on web site: http://www.math.nus.edu.sg/~bao/teach/ma5233/ma5233.html