Applied and computational analysis (ACA) is concerned with mathematical tools of broad applicability, e.g. ordinary and partial differential equations, nonlinear dynamical systems, integrable systems, numerical analysis, approximation theory, inverse problems and image analysis. While the approach is mathematical, the ultimate destination of these tools is to applications. This tension between the pure and the applied is at the core of different ACA themes.
| Title | Examinable | Term | Number of Lectures |
|---|---|---|---|
| Approximation Theory | Part III Examinable | Michaelmas | 24 |
| Distribution Theory and Applications | Part III Examinable | Michaelmas | 16 |
| Unbounded operators and semigroups | Part III Examinable | Michaelmas | 16 |
| Numerical Solution of Differential Equations | Part III Examinable | Lent | 24 |
| Inverse Problems | Part III Examinable | Lent | 16 |
| Topics in Convex Optimisation | Part III Examinable | Lent | 16 |
| Mathematical Analysis of the incompressible Navier-Stokes Equations | Graduate Non-Examinable | Lent | 24 |
| Introduction to Nonlinear Spectral Analysis | Graduate Non-Examinable | Lent | 16 |
