F10ND - Numerical Analysis D
Course leader(s):
Aims
To provide an introduction to the techniques and analysis required to find the numerical solution of partial differential equations using both finite difference and finite element approaches
Syllabus
1. Basic concepts and definitions
2. Elliptic PDEs
3. Parabolic PDEs
4. Hyperbolic PDEs
Learning outcomes
By the end of the course, students should be able to do the following:
- distinguish between elliptic, parabolic, and hyperbolic PDEs
- construct finite differences for approximating partial derivatives
- analyse the local truncation error using Taylor series expansions
- derive finite difference methods for elliptic, parabolic, and hyperbolic PDEs
- analyse the consistency, stability, and convergence of finite difference methods
- explain the variational formulation of the finite element method
- calculate linear basis functions and the corresponding matrix entries for the finite element method
- implement finite difference and finite element methods in an object-oriented programming language
Further details
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SCQF Level: 10
Credits: 15
