Overview
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 … For more content click the Read More button below.
Rules
Enrolment Rule
Contacts
Unit Coordinator(s)
Dr Janosch Rieger
Associate Professor Jerome Droniou
Notes
This unit is offered in alternate years commencing Semester 2, 2020
Learning outcomes
On successful completion of this unit, you should 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 each specific problem;
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.
Teaching approach
Active learning
Assessment
1 - In-semester assessment
2 - Examination (3 hours and 10 minutes)
Scheduled and non-scheduled teaching activities
Applied sessions
Lectures
Workload requirements
Workload
Availability in areas of study
Master of Mathematics