Scientific Computing
Scientific computing is concerned with finding numerical solutions to mathematical questions (such as the solution of differential equations), and is a critical tool for understanding and making predictions for practical problems. A full list of InFoMM research projects in scientific computing, organised by topic, is given below.
The affiliated company is given in brackets after the project's name. Click on a project title to find out more about its mathematical and industrial background, progress so far, and plans for future work.
High Performance Computing
Numerical Solutions of Differential Equations
- Computation and Control of Bifurcation Diagrams of PDEs (Simula)
- High Resolution Computational Wave Flume (US Army Corps of Engineers)
- Mathematical Formulation of Coarse Predictors for Time Parallelisation Algorithms to be used in Fusion Plasma Physics (Culham Centre for Fusion Energy)
- Modelling and Computation for Petroleum Systems in Basins with Complex Structural Geometries (PDS)
- Preconditioning for Reservoir Simulation (Schlumberger Abingdon Technology Centre)
- Scalable Two-Phase Flow Solvers (US Army Corps of Engineers)
-
Optimisation of time parallelisation for applications in fusion plasma physics (Culham Centre for Fusion Energy)
Optimisation and Optimal Control
- Compressed Sensing Reconstruction of Dynamic X-Ray Imaging (Adaptix Imaging)
- Derivative-Free Algorithms for Nonlinear Optimisation Problems (NAG)
- Shape Optimisation with PDE and Geometric Constraints (London Computational Solutions)
- Steam Turbine Design Optimisation (Siemens)
- Dimensionality reduction techniques for big data optimisation (NAG)
Uncertainty Quantification
- Decisions Under Uncertainty for Price Management (dunnhumby)
- Multilevel Monte Carlo for Uncertainty Quantification in Brain Simulations (Simula Research Laboratory)
- Bargaining Under Uncertainty (BP)