MURI Research Objectives

Some specific research objectives for the MURI group include:

  • Developing a seamless integration of theory and algorithms for data-driven FPDEs,
  • Targeting the common themes of conservation, monotonicity, adaptive refinement and high-order accuracy in the context of simulations of multiphase flows, turbulence, fluid-structure interactions, and solid mechanics, and
  • Developing a combined mathematical-computational framework, where the fractional operators can be constructed based on available data (problem-based simulation).

We will explore applications of these developments to numerous topics in many disciplines.