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Field
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of partial differential equations and applications. Other areas under active consideration are cosmology, multiscale and complex systems including interfaces with theoretical biology, computer science and
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areas will be considered when selecting candidates: Machine Learning, Neural Networks, Numerical solutions of Partial Differential Equations and Stochastic Differential Equations, Numerical Optimization
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short-range interactions. This representation is generally known as a tensor network. Much more recently, tensor network approaches have been adapted to numerical solve partial differential equations
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, stiff systems of partial differential equations Demonstrated expertise in multiphase flows and stiff chemistry/transport source terms in reacting flows (e.g., combustion, plasma), and strong proficiency
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, -- partial differential equations and in particular Navier-Stokes equations, -- stochastic analysis, -- mathematical theory for artificial intelligence, -- optimization and numerical computation over manifold
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probability, mathematical modeling of complex systems, dynamical systems, partial differential equations, and scientific computing. Candidates interested in developing and analyzing mechanistic mathematical
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network models. Of particular interest are candidates who have a background and/or interest in one or more of the following: optimization and optimal control (esp. optimal control of partial differential