Adaptive simplification of complex multiscale systems.

  title={Adaptive simplification of complex multiscale systems.},
  author={E. Chiavazzo and I. Karlin},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={83 3 Pt 2},
  • E. Chiavazzo, I. Karlin
  • Published 2011
  • Mathematics, Physics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • A fully adaptive methodology is developed for reducing the complexity of large dissipative systems. This represents a significant step toward extracting essential physical knowledge from complex systems, by addressing the challenging problem of a minimal number of variables needed to exactly capture the system dynamics. Accurate reduced description is achieved, by construction of a hierarchy of slow invariant manifolds, with an embarrassingly simple implementation in any dimension. The method… CONTINUE READING
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