UnitLevel 4Postgraduate

MTH4323 Numerical analysis and control of differential equations

Faculty of Science

MTH4323 Numerical analysis and control of differential equations is a level 4, 6-credit-point, postgraduate unit from the Faculty of Science. It isn't offered in 2021. It has no prerequisites.

Credit points
6
Offered in 2021
Not offered
Assessment
Exam 60%
and 1 other task

This is the 2021 handbook entry. See the 2026 entry.

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Requisites

Before MTH4323

No prerequisites or corequisites besides the enrolment rules below.

After MTH4323

No unit lists MTH4323 as a prerequisite in the 2021 handbook.

Enrolment rules

COREQUISITE: Enrolment in the Master of Mathematics

PROHIBITION: MTH5323

Equivalent units

The same content under another code. Only one of them counts.

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 element methods; finite volume methods; implementation and convergence analysis.

Offerings in 2021

The 2021 handbook lists no offerings for MTH4323.

Assessment

  • In-semester assessment
    40%
  • Examination (3 hours and 10 minutes)Threshold hurdle
    60%

Learning outcomes

When you finish this unit, you should be able to:

  1. 1

    Describe and rigorously analyse sophisticated numerical methods for DEs;

  2. 2

    Implement numerical methods for standard models;

  3. 3

    Understand the mathematical properties of advanced numerical methods, and use this understanding to select appropriate method for each specific problem;

  4. 4

    Describe the nature and usage of optimal control problems;

  5. 5

    Cast a real-world problem into an optimal control problem;

  6. 6

    Communicate and critically discuss the outcome of numerical methods for DEs.

Workload and teaching

  • Lectures36 hours
  • Applied sessions11 hours
  • Teaching approachActive learning
  • 3 hours of lectures
  • 1 hour tutorial and
  • 8 hours of independent study per week

Active learning will occur in lectures and applied classes.

Contacts

Unit Coordinators
Associate Professor Jerome Droniou
Dr Janosch Rieger

Common questions

What are the prerequisites for MTH4323?

MTH4323 has no prerequisites, but enrolment rules apply.

When is MTH4323 offered?

MTH4323 has no offerings listed in the 2021 handbook.

Does MTH4323 have an exam?

Yes. The exam is worth 60% of the final mark, alongside 1 other task.

More details

Credit points
6
Level
4
Study level
Postgraduate
Faculty
Faculty of Science
Organisational unit
School of Mathematics
Type
Coursework
EFTSL
0.125
Student contribution
SCA Band 1
Study abroad
Available
Handbook years
2020202120222023202420252026