New Theory and Algorithms for Nonsmooth Optimisation with Application to Integer Programming. Mathematical optimisation plays a key role in a wide variety of applications in business, industry, engineering and science. For example, airlines cannot fly and radiation treatment for cancer cannot be delivered without solving (a series of) optimisation problems. Some classes of optimisation problem are very well solved, with clear mathematical foundations, efficient algorithms, and reliable software ....New Theory and Algorithms for Nonsmooth Optimisation with Application to Integer Programming. Mathematical optimisation plays a key role in a wide variety of applications in business, industry, engineering and science. For example, airlines cannot fly and radiation treatment for cancer cannot be delivered without solving (a series of) optimisation problems. Some classes of optimisation problem are very well solved, with clear mathematical foundations, efficient algorithms, and reliable software implementations. Both nonsmooth and integer optimisation problems have a good mathematical basis, but there are "gaps"; existing methods cannot always solve real industrial problems. This project will deliver better methods, built on better theory, and so will yield better solutions for important applications.Read moreRead less
Deciphering ion specificity in complex electrolytes . This project aims to understand how ions influence the behaviour and properties of complex electrolytes (solutions containing either multiple ions, solvent mixtures, high electrolyte concentrations or a variety of interfaces, solutes or polymers). Complex electrolytes are ubiquitous in colloidal and particle technologies and underpin industrial and natural processes. Our team will combine experiment, simulation and theory to deliver a univers ....Deciphering ion specificity in complex electrolytes . This project aims to understand how ions influence the behaviour and properties of complex electrolytes (solutions containing either multiple ions, solvent mixtures, high electrolyte concentrations or a variety of interfaces, solutes or polymers). Complex electrolytes are ubiquitous in colloidal and particle technologies and underpin industrial and natural processes. Our team will combine experiment, simulation and theory to deliver a universal framework for understanding and predicting specific ion effects in complex electrolytes. The project outcomes are expected to deliver new understanding for researchers, robust rules of thumb for technologists and a public resource for data-driven solutions in applications utilising salt solutions. Read moreRead less
Structured barrier and penalty functions in infinite dimensional optimisation and analysis. Very large scale tightly-constrained optimisation problems are ubiquitous and include water management, traffic flow, and imaging at telescopes and hospitals. Massively parallel computers can solve such problems and provide physically realisable solution only if subtle design issues are mastered. Resolving such issues is the goal of this project.