Research Areas

MURI Research Areas

Methodology

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