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Our current research interests include, but not limited to:
  • Sparse polynomial chaos expansions via compressive sampling techniques
  • Low-rank separated representations for high-dimensional uncertainty propagation
  • Stochastic model reduction techniques for uncertainty quantification
  • Multi-level and multi-fidelity methods for uncertainty quantification
  • Random sampling strategies
  • Extended Finite Element Method (XFEM)

More description of current projects is coming soon!