Now showing items 22-25 of 25

    • Time-Dependent Coupling of Navier-Stokes and Darcy Flows 

      Cesmelioglu, Aycil; Girault, Vivette; Riviere, Beatrice (2013)
      A weak solution of the coupling of time-dependent incompressible NavierヨStokes equations with Darcy equations is defined. The interface conditions include the BeaversヨJosephヨSaffman condition. Existence and uniqueness of ...
    • A Topological Model of the Hippocampal Cell Assembly Network 

      Babichev, Andrey; Ji, Daoyun; Mémoli, Facundo; Dabaghian, Yuri A. (2016)
      It is widely accepted that the hippocampal place cells' spiking activity produces a cognitive map of space. However, many details of this representation's physiological mechanism remain unknown. For example, it is believed ...
    • Topological Schemas of Cognitive Maps and Spatial Learning 

      Babichev, Andrey; Cheng, Sen; Dabaghian, Yuri A. (2016)
      Spatial navigation in mammals is based on building a mental representation of their environment-a cognitive map. However, both the nature of this cognitive map and its underpinning in neural structures and activity remains ...
    • A Trust-Region Algorithm with Adaptive Stochastic Collocation for PDE Optimization under Uncertainty 

      Kouri, D.P.; Heinkenschloss, M.; Ridzal, D.; van Bloemen Waanders, B.G. (2013)
      The numerical solution of optimization problems governed by partial differential equations (PDEs) with random coefficients is computationally challenging because of the large number of deterministic PDE solves required at ...