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 … For more content click the Read More button below.
Rules
Enrolment Rule
Contacts
Chief Examiner(s)
Professor Jerome Droniou
Unit Coordinator(s)
Professor Jerome Droniou
Notes
This unit is not being offered in 2025.
Learning outcomes
On successful completion of 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.
Teaching approach
Active learning
Assessment
1 - Continuous assessment
2 - Final assessment - Exam (3 hours and 10 minutes)
Scheduled and non-scheduled teaching activities
Applied sessions
Seminars
Workload requirements
Workload
Availability in areas of study
Master of Mathematics