Computational Differential Equations
Overview
This subject discusses techniques to determine numerical solutions to a variety of problems commonly
encountered in science and engineering. Understanding the behaviour of the mathematical problem
gives insight into the pitfalls for the unwary in using canned packages inappropriately or uncritically.
Topics will include boundary value problems for ordinary differential equations, the solution of parabolic,
hyperbolic and elliptic partial differential
Subject objectives
After completing this subject, students should:
- appreciate the behaviour of common mathematical problems
- appreciate the relevant techniques to obtain numerical solutions
- acquire high level numerical tools and knowledge that can be used to solve a range of
problems in science and engineering
- gain the ability to pursue further studies in this and related areas
Coordinator
Steven Carnie.
Requisites & Pre-requisites
It is recommended that students have completed a third year subject in partial differential equations
(equivalent to 620-331 [2008] Applied Partial Differential
Equations).
Students will also be expected to possess a basic level of proficiency in computer programming, such as gained
from any introductory programming subject.
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