MTH4323 Advanced numerical analysis of partial differential equations
Faculty of Science
MTH4323 Advanced numerical analysis of partial differential equations is a level 4, 6-credit-point, postgraduate unit from the Faculty of Science, offered in 2022 in Semester 2 at Clayton. It has no prerequisites.
- Credit points
- 6
- Offered in 2022
- Semester 2
- Clayton
- Assessment
- Exam 60%
- and 1 other task
This is the 2022 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 2022 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 (PDEs), with a focus on both the mathematical foundations and the practical usages of these notions. Topics covered include weak formulations of partial differential equations 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 2022
| Teaching period | Campus | Mode |
|---|---|---|
| Second semester | Clayton | On campus |
Assessment
- In-semester assessmentOther40%
- Examination (12:00 hours)ExamThreshold 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 methods for each specific problem;
- 4
Communicate and critically discuss the outcome of numerical methods for PDEs.
Workload and teaching
- Applied sessions11 hours
- Lectures36 hours
- Teaching approachActive learning
- Two 1.5 -hour lectures;
- One 1-hour applied class (in weeks 2-12) and
- 8 hours of independent study per week.
Active learning will occur in lectures and applied classes.
Contacts
- Chief Examiners
- Associate Professor Ricardo Ruiz Baier
- Unit Coordinators
- Associate Professor Ricardo Ruiz Baier
- 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 2022, 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.