MTH5323 Advanced numerical analysis of partial differential equations
Faculty of Science
MTH5323 Advanced numerical analysis of partial differential equations is a level 5, 6-credit-point, postgraduate unit from the Faculty of Science, offered in 2023 in Semester 1 at Clayton. It has no prerequisites.
- Credit points
- 6
- Offered in 2023
- Semester 1
- Clayton
- Assessment
- Exam 60%
- and 1 other task
This is the 2023 handbook entry. See the 2027 entry.
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Requisites
Before MTH5323
No prerequisites or corequisites besides the enrolment rules below.
After MTH5323
No unit lists MTH5323 as a prerequisite in the 2023 handbook.
Equivalent units
The same content under another code. Only one of them counts.
Overview
This unit introduces the numerical approximation of partial differential equations, with a focus on both the mathematical foundations and the practical usages of these notions. Topics covered include weak formulations of partial differential equations (PDEs) in primal and mixed form; abstract saddle-point problems; conforming and non-conforming finite element methods; finite volume methods; mixed finite element methods; stability and convergence analysis; implementation of computational schemes.
Offerings in 2023
| Teaching period | Campus | Mode |
|---|---|---|
| First semester | Clayton | On campus |
Assessment
- Continuous 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 PDEs;
- 2
Implement numerical methods for standard models including diffusion and linear elasticity;
- 3
Demonstrate understanding of the mathematical properties of advanced numerical methods, and use this understanding to select appropriate method for each specific problem;
- 4
Communicate and critically discuss the outcome of numerical methods for PDEs.
Workload and teaching
- Lectures36 hours
- Applied sessions11 hours
- Teaching approachActive learning
- Two 1.5 -hour lectures;
- One 1-hour applied class (in weeks 2-12) and
- Eight hours of independent study per week.
Active learning will occur in lectures and applied classes.
Contacts
- Unit Coordinators
- Professor Jerome Droniou
- Chief Examiners
- Professor Jerome Droniou
Common questions
What are the prerequisites for MTH5323?
MTH5323 has no prerequisites, but enrolment rules apply.
When is MTH5323 offered?
In 2023, MTH5323 runs in Semester 1 at Clayton.
Does MTH5323 have an exam?
Yes. The exam is worth 60% of the final mark, alongside 1 other task.