6 points, SCA Band 2, 0.125 EFTSL
Undergraduate, Postgraduate - Unit
Refer to the specific census and withdrawal dates for the semester(s) in which this unit is offered.
Faculty
Organisational Unit
School of Mathematical Sciences
Chief examiner(s)
To be advised
Coordinator(s)
Not offered in 2019
Notes
This unit is offered in alternate years commencing S2, 2020
Synopsis
This unit gives an introduction to the numerical approximation and control of differential equations, with a focus on both the mathematical foundations and the practical usages of these notions. Topics covered include computational dynamics; optimisation and set-valued analysis; implicit and explicit time steppings; weak formulations of partial differential equations; finite element methods; finite volume methods; implementation and convergence analysis.
Outcomes
On completion of this unit students will be able to:
- Describe and rigorously analyse sophisticated numerical methods for DEs;
- Implement numerical methods for standard models;
- Understand the mathematical properties of advanced numerical methods, and use this understanding to select appropriate method for each specific problem;
- Describe the nature and usage of optimal control problems;
- Cast a real-world problem into an optimal control problem;
- Communicate and critically discuss the outcome of numerical methods for DEs.
Assessment
Examination (3 hours): 60% (Hurdle)
Continuous assessment: 40%
Hurdle requirement: To pass this unit a student must achieve at least 50% overall and at least 40% for the end-of-semester exam.
Workload requirements
- 3 hours of lectures and a 1 hour tutorial per week
- 8 hours of independent study per week
See also Unit timetable information
This unit applies to the following area(s) of study
Master of Mathematics