@TechReport{ it:2000-016, author = {Ken Mattsson}, title = {Imposing Boundary Conditions with the Injection, the Projection and the Simultaneous Approximation Term Method}, institution = {Department of Information Technology, Uppsala University}, department = {Division of Scientific Computing}, year = {2000}, number = {2000-016}, month = jul, abstract = {Four different methods of imposing boundary conditions for the linear advection-diffusion equation and a linear hyperbolic system are considered. The methods are analyzed using the energy method and the Laplace transform technique. Numerical calculations are done, considering in particular the case when the initial data and boundary data are inconsistent. } }