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, offered in 2020 in Semester 2 at Clayton. It has no prerequisites.
- Credit points
- 6
- Offered in 2020
- Semester 2
- Clayton
- Assessment
- Exam 60%
- and 1 other task
This is the 2020 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 2020 handbook.
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 2020
| Teaching period | Campus | Mode |
|---|---|---|
| Second semester | Clayton | On campus |
Assessment
- In-semester assessment40%
- Examination (3 hours and 10 minutes)Threshold hurdle60%
Learning outcomes
When you finish 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.
Workload and teaching
- Applied sessions11 hours
- Lectures36 hours
- Teaching approachActive learning
- 3 hours of lectures and a 1 hour tutorial per week
- 8 hours of independent study per week
Active learning will occur in lectures and applied classes.
Contacts
- Unit Coordinators
- Dr Janosch Rieger
- Associate Professor Jerome Droniou
Common questions
What are the prerequisites for MTH4323?
MTH4323 has no prerequisites, but enrolment rules apply.
When is MTH4323 offered?
In 2020, MTH4323 runs in Semester 2 at Clayton.
Does MTH4323 have an exam?
Yes. The exam is worth 60% of the final mark, alongside 1 other task.