The project in this proposal initiates a research group at Chalmers University of Technology with expertise in geometric integration for partial differential equations (PDEs) and specific focus on computational anatomy, which is an upcoming interdisciplinary field within medical imaging. Computational anatomy is a technology that can be used for analysing magnetic resonance imaging (MRI) of the brain and heart. It has potential to provide mechanisms for discovering neuropsychiatric disorders of many types, for example Alzheimer's disease. The aim of the research is to develop and rigorously analyse state-of-the-art geometric numerical integration algorithms for generalised Euler equations. The main goal is to obtain accurate and efficient numerical methods for solving problems in computational anatomy. Chalmers contributes with expertise in numerical analysis of PDEs. The main applicant, together with his close collaborators at Massey University in New Zealand and the University of Toronto in Canada, contributes with expertise in geometric integration and computational anatomy. With its unique focus on numerical analysis of PDEs, geometric integration, and computational anatomy - gaining directly from expertise at Chalmers, Massey, and University of Toronto - the newly formed group initiated with this project will have a high impact on the availability of efficient numerical algorithms for medical applications.
Docent vid Chalmers, Mathematical Sciences, Applied Mathematics and Statistics
Funding Chalmers participation during 2013–2018