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. It isn't offered in 2024. It has no prerequisites.
- Credit points
- 6
- Offered in 2024
- Not offered
- Assessment
- Exam 60%
- and 1 other task
This is the 2024 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 2024 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 2024
The 2024 handbook lists no offerings for MTH5323.
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
- Seminars36 hours
- Applied sessions11 hours
- Teaching approachActive learning
- Two 1.5 -hour seminars;
- 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
- Chief Examiners
- Professor Jerome Droniou
- Unit Coordinators
- Professor Jerome Droniou
Common questions
What are the prerequisites for MTH5323?
MTH5323 has no prerequisites, but enrolment rules apply.
When is MTH5323 offered?
MTH5323 has no offerings listed in the 2024 handbook.
Does MTH5323 have an exam?
Yes. The exam is worth 60% of the final mark, alongside 1 other task.