PhD Researcher in Computational Mathematics

Job summary

This position offers a 3-year PhD opportunity focused on analyzing the impact of data errors in iterative solvers for inverse problems, such as computed tomography and image deblurring. The research is part of a project funded by the Independent Research Fund Denmark, and involves collaboration with postdoctoral researchers in the field of Scientific Computing.

Qualifications

• A two-year master's degree (120 ECTS points) or equivalent in applied and/or computational mathematics is required.

Responsibilities

• Analyze data error propagation in iterative regularization methods like CGLS and GMRES.
• Interpret these methods within the framework of computational uncertainty quantification.
• Utilize and enhance the CUQIpy software, testing results on data from dental scanners and tokamak fusion tomography.
• Complete 30 ECTS of coursework on relevant topics.
• Teach and supervise students in various courses and projects.

Skills

• Strong analytical and computational skills in mathematics.
• Experience with iterative solvers and uncertainty quantification is advantageous.

Education

• A master's degree in applied and/or computational mathematics is mandatory.

Tools

• Familiarity with software development and computational tools relevant to the field is beneficial.