MTH5323 - Numerical analysis and control of differential equations - 2019

his 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.

On completion of this unit students will be able to:

1. Describe and rigorously analyse sophisticated numerical methods for DEs
2. Implement numerical methods for standard models
3. Understand the mathematical properties of advanced numerical methods, and use this understanding to select appropriate method for appropriate
4. Describe the nature and usage of optimal control problems
5. Cast a real-world problem into an optimal control problem
6. Communicate and critically discuss the outcome of numerical methods for DEs.

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.

This unit is offered at both Level 4 and Level 5, differentiated by the level of the assessment. Students enrolled in MTH5323 will be expected to demonstrate a higher level of learning in this subject than those enrolled in MTH4323Not offered in 2019. The assignments and exam in this unit will use some common items from the MTH4323Not offered in 2019 assessment tasks, in combination with several higher level questions and tasks.

• 3 hours of lectures and 1 hour tutorial per week
• 10 hours of independent study per week

See also Unit timetable information

Master of Mathematics