There is a growing awareness toward a slow shifting in the foundation of the thermodynamic laws, from several macroscopic, empirical postulates concerning heat as a form of random motions, to derivable mathematical theorems based on stochastic dynamics of mesoscopic systems. It becomes increasingly clear that a stochastic dynamic description of ...
Creator:
Qian, Hong (University of Washington)
Created:
2018-05-14
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Individual-based population dynamics articulates stochastic behavior of individuals and considers deterministic equations at the population level as an emergent phenomenon. Using chemical species inside a small aqueous volume (a cell) as an example, we introduce Delbrück-Gillespie birth-and-death process for chemical reactions dynamics. Using t...
Creator:
Qian, Hong (University of Washington)
Created:
2013-05-13
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
It is now well understood that there is a minimal requirement on the channelquality in feedback stabilization via a communication channel. In the case of SISO plant and SISO channel. This minimal channel quality is given in terms of the degree of instability of the plant to be stabilized. For a MIMO system controlled via a MIMO communication cha...
Creator:
Qiu, Li (Hong Kong University of Science and Technology)
Created:
2015-10-08
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
Accurate time stepping of vesicle suspensions is crucial for obtaining stable and accurate simulations. I will describe two algorithms that can be used to accomplish this task. First, a deferred correction method uses a low-order semi-implicit time integrator to construct high-order results. Second, physically conserved quantities are used to ad...
Creator:
Quaife, Bryan (Florida State University)
Created:
2018-03-12
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.