|Delivery Type||Delivery length / details|
|Lecture||19 x 1 hour lectures|
|Seminars / Tutorials||3 x 1 hour example classes|
|Assessment Type||Assessment length / details||Proportion|
|Semester Exam||2 Hours (written examination)||100%|
|Supplementary Assessment||2 Hours (written examination)||100%|
On completion of this module, a student should be able to:
1. discretise an elliptic partial differential equation using and finite element methods;
2. perform an error analysis for the discrete approximation to elliptic equations;
3. discretise hyperbolic and parabolic partial differential equations in one space variable;
- perform an error analysis for the discrete approximation to hyperbolic and parabolic equations.
Partial differential equations are the main means of providing mathematical models in science, engineering and other fields. Generally these models must be solved numerically. This course provides an introduction to numerical techniques for eliiptical and parabolic equations.
2. Finite difference approximations to hyperbolic and parabolic partial differential equations in one space variable. Local truncation error and error analysis. Explicit and implicit methods. Convergence and stability. The Thomas algorithm.
This module is at CQFW Level 6