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MURI Research Areas
- Theory of nonlocal operators and stochastic interpretation of fractional operators.
- Numerical solution of FPDEs with emphasis on variable fractional order.
- Fast solvers for dense linear systems with approximately linear/quasi-linear computational complexity.
- Stochastic FPDEs and determination of the fractional order directly by available data.
- Application of the integrated framework to fluid and solid mechanics problems, fluid-structure interactions, two-phase flows, turbulence and reactive systems with front propagation.
- High performance computing & developing opensource software for fractional problems.
- F-Nektar (Fractional Nektar)