Note: This is an archived Handbook entry from 2012.
|Dates & Locations:|| |
This subject has the following teaching availabilities in 2012:Semester 1, Parkville - Taught on campus.
Timetable can be viewed here. For information about these dates, click here.
|Time Commitment:||Contact Hours: 36 hours comprising one 1-hour computer lab and one 2-hour computer lab per week. |
Total Time Commitment:
3 contact hours and 7 private study hours per week.
Students should be able to progam in one of: C, Matlab, Mathematica, Perl, Fortran, Python etc
|Recommended Background Knowledge:||
|Non Allowed Subjects:|| |
|Core Participation Requirements:||
For the purposes of considering requests for Reasonable Adjustments under the Disability Standards for Education (Cwth 2005), and Students Experiencing Academic Disadvantage Policy, academic requirements for this subject are articulated in the Subject Description, Subject Objectives, Generic Skills and Assessment Requirements for this entry.
The University is dedicated to provide support to those with special requirements. Further details on the disability support scheme can be found at the Disability Liaison Unit website: http://www.services.unimelb.edu.au/disability/
Dr Steven Carnie
Many processes in the natural sciences, engineering and finance are described mathematically using ordinary or partial differential equations. Only the simplest or those with special structure can be solved exactly. This subject discusses common techniques to computing numerical solutions to differential equations and introduces the major themes of accuracy, stability and efficiency. Understanding these basic properties of scientific computing algorithms should prevent the unwary from using software packages inappropriately or uncritically, and provide a foundation for devising methods for nonstandard problems. We cover both time-independent problems, in one and higher space dimensions, and evolution equations of hyperbolic or parabolic type.
After completing this subject, students should:
Weekly homework for the first four weeks (20%); up to 40 pages of written assignments (40%: two assignments worth 20% each due mid and late in semester); a 15-minute oral presentation on a project (20%) held towards the end of semester and a take-home examination (20%, up to 20 pages) due in the examination period.
|Prescribed Texts:|| |
R.J.Leveque, Finite difference methods for ordinary and partial differential equations. Steady-state and time-dependent problems, SIAM, 2007.
|Breadth Options:|| |
This subject is not available as a breadth subject.
|Fees Information:||Subject EFTSL, Level, Discipline & Census Date|
In addition to learning specific skills that will assist students in their future careers in science, they will have the opportunity to develop generic skills that will assist them in any future career path. These include:
Master of Science (Mathematics and Statistics) |
Mathematics and Statistics |
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