@TechReport{	  it:2012-032,
  author	= {Sofia Eriksson and Jan Nordstr{\"o}m},
  title		= {Exact Non-Reflecting Boundary Conditions Revisited:
		  Well-Posedness and Stability},
  institution	= {Department of Information Technology, Uppsala University},
  department	= {Division of Scientific Computing},
  year		= {2012},
  number	= {2012-032},
  month		= oct,
  abstract	= {Exact non-reflecting boundary conditions for an
		  incompletely parabolic system have been studied. It is
		  shown that well-posedness is a fundamental property of the
		  non-reflecting boundary conditions. By using summation by
		  parts operators for the numerical approximation and a weak
		  boundary implementation, energy stability follows
		  automatically. The stability in combination with the high
		  order accuracy results in a reliable, efficient and
		  accurate method. The theory is supported by numerical
		  simulations. }
}