MTH4323 - Numerical analysis and control of differential equations

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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.

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.

Offerings

S2-01-CLAYTON-ON-CAMPUS

Rules

Enrolment Rule

Contacts

Unit Coordinator(s)

Associate Professor Jerome Droniou

Dr Janosch Rieger

Notes

IMPORTANT NOTICE:
Scheduled teaching activities and/or workload information are subject to change in response to COVID-19, please check your Unit timetable and Unit Moodle site for more details.

This unit is offered in alternate years commencing Semester 2, 2020

Learning outcomes

On successful completion of this unit, you should 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.

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