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applications. This includes, but is not limited to, stochastic differential equations, stochastic partial differential equations, variational and geometric methods, probabilistic numeric, optimal transport, and
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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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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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well as numerical methods for partial differential equations, especially finite element methods, both theory and implementation. A successful candidate will work in the topics of interests, which include: (1) solid
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to enable scalability. The work will draw on concepts from dynamical systems, stochastic processes, and stochastic differential equations (SDEs), including nonequilibrium systems, to model cellular behavior
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work with Professor Peter Hintz on problems in the areas of geometric partial differential equations and general relativity. These include: linear and nonlinear stability problems and scattering theory
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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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remaining. ● Strong background in the development and/or application of numerical methods for partial differential equations. ● Experience in implementation of numerical methods. ● Interest and experience in