
Inverse Problems Expert
5 days ago
We are seeking a skilled researcher to work on a project focused on developing adaptive algorithms for inverse problems. The project involves developing new numerical methods for solving multidimensional coefficient inverse problems and inverse source problems in hyperbolic and parabolic PDEs.
The researcher will work on developing Carleman estimates to prove global uniqueness of reconstructed parameters in MCIPs and sources in ISP. This research will contribute significantly to the field of computational mathematics and has potential applications in medical imaging.
The ideal candidate should have a strong background in mathematics, applied mathematics, or mathematical statistics. A master's degree or a 4-year bachelor's degree in one of these fields or expect to complete such a degree prior to the start of the employment is required.
Good presentation and communication skills in oral and written English are essential. Experience in partial differential equations, numerical analysis, computational methods for partial differential equations, and programming may be beneficial.
- Develop adaptive non-local numerical methods for solving multidimensional coefficient inverse problems and inverse source problems in hyperbolic and parabolic PDEs.
- Prove global uniqueness of reconstructed parameters in MCIPs and sources in ISP using Carleman estimates.
- Contribute to the development of new numerical methods for solving inverse problems.
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