@TechReport{	  it:2000-024,
  author	= {Saul Abarbanel and Adi Ditkowski and Bertil Gustafsson},
  title		= {On error bounds of finite difference approximations to
		  partial differential equations - temporal behavior and rate
		  of convergence},
  institution	= {Department of Information Technology, Uppsala University},
  department	= {Division of Scientific Computing},
  year		= {2000},
  number	= {2000-024},
  month		= sep,
  abstract	= {This paper considers a family of spatially semi-discrete
		  approximations, including boundary treatments, to
		  hyperbolic and parabolic equations. We derive the
		  dependence of the error-bounds on time as well as on mesh
		  size.}
}