CHBE 692: Numerical Methods for Differential Equations in Engineering and Biology


Course Description:
The class focuses on the numerical analysis of various times integration techniques for ordinary differential equations, as well as spatial and temporal discretization methods for hyperbolic and parabolic partial differential equations that describe processes in engineering and biology. Homework and projects aim at the comparative evaluation of the various schemes discussed in class.
Meeting Time: TTh 1:00-2:20 p.m.
Location: KH 101

Instructors:
Matteo Pasquali and Rolf J. Ryham
Email: [my last name] at rice dot edu
Office: AB C112

References:
  • Numerical Analysis Notes by Douglas N. Arnold http://www.ima.umn.edu/~arnold/597.00-01/notes.html
  • Analysis of Transport Phenomena, Deen, William.
  • FORTRAN 90/95 for Scientists and Engineers, Chapman, Stephen
  • Introduction to FORTRAN 90 for Engineers and Scientists, Nyhoff, Larry
  • Learning Matlab, Driscoll, Tobin
  • Matlab Guide, 2nd Ed. Higham and Higham


    • Grades:
    Assigments will be posted on the course webpage, are to be turned in and picked up from the boxes labeled CHBE 692 Drop offand CHBE 692 Graded next to Abercrombie B227. Assessment will be based on 10 (weekly) homework assigments, a take home midterm and a final with weight 40% - Homework, 30% - Midterm, 30% - Final.

    Coding:
    All numerical code will be written in either FORTRAN or Matlab. Typically, elementary and nonmodular algorithms will be written in FORTRAN while algorithms where basic routines are not the emphasis will be written in Matlab. Two or three tutorials on these coding languages will be part of the recitation and await announcement.

    Academic Honesty:
    Working in groups on homework or projects (not exams!) is encouraged. However, anything turned in for grading must your own work. For example, feel free to solve problems with your classmates but don't copy each others' solutions for what you plan to turn in, i.e. write down solutions on your own time.

    Disabilities Statement:
    Any student with a documented disability needing academic adjustments or accommodations should speak to me as soon as possible, preferably during the first two weeks of class. I will be happy to help you, and all communications will remain confidential. As a reminder, you will also need to contact Disability Support Services in the Ley Student Center (www.dss.rice.edu). If you believe that you have an undocumented disability, you are encouraged to talk to me and Disability Support Services so that you can get help.