@PhDThesis{	  itlic:2000-002,
  author	= {Susanne Remle},
  title		= {Modeling and Parameter Estimation of the Diffusion
		  Equation},
  school	= {Department of Information Technology, Uppsala University},
  department	= {Division of Systems and Control},
  year		= {2000},
  number	= {2000-002},
  type		= {Licentiate thesis},
  month		= may,
  abstract	= {In many applications such as heat diffusion and flow
		  problems, it is of interest to describe the process
		  behavior inside a particular medium. An example can be the
		  strive for estimating certain parameters related to the
		  material. These processes are often modeled by a partial
		  differential equation. Certain methods for identifying
		  unknown material constants require the model to be of
		  finite order. This thesis describes how the diffusion
		  process can be approximated with finite order model, and
		  how the accuracy of an estimated model depends on the model
		  order. In particular, a detailed analysis is carried out
		  for the case when the approximate model accounts for
		  solving the diffusion by a difference method. }
}