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It is practically rare that a natural phenomenon or engineering problem can be accurately described by a single law of physics. The striking diversity of rules of life forces scientists to continuously increase the complexity of models to address the ever-growing requirements for their prediction capabilities. It remains a formidable challenge to derive and analyze numerical methods which are universal enough to handle complex multiphysics problems with the same ease and efficiency as traditional methods do for textbook PDEs.

The workshop will focus on recent trends in the field of numerical methods for multiphysics problems that include the development of monolithic approaches, structure preserving discretizations, geometrically unfitted methods, data-driven techniques, and modern algebraic methods for the resulting linear and nonlinear discrete systems. The topics of interest include models and discretizations for fluid – elastic structure interaction, non-Newtonian fluids, phase field models for fluid mixtures, bulk-surface coupled problems, and biological flows. The workshop will also address emerging topics in scientific computing such as randomized algorithms, tensor methods, and structured numerical linear algebra methods, with the goal to better understand advances they offer for multiphysics problems.

Organizers: Martina Bukač (University of Notre Dame), John Evans (University of Colorado Boulder), Hyesuk Lee (Clemson University), Amnon Meir (Southern Methodist University), Maxim Olshanskii (University of Houston), Sara Pollock (University of Florida), Valeria Simoncini (Università di Bologna)

More information can be found at: https://icerm.brown.edu/programs/sp-s24/w1/.