"On approximate open boundary conditions and their performance over long time intervals"
Maikov A.R.

The implementation of approximate open boundary conditions for the Klein-Gordon equation is discussed for the case of an initial-boundary problem on the quarter plane. The proposed approach is proved to provide high accuracy, however long the time interval of numerical modeling. A number of numerical experiments illustrate the effectiveness of this approach.

Keywords: Klein-Gordon equation, initial boundary value problem on an unbounded domain, open boundary conditions, time-domain radiation boundary conditions

Maikov A.R.   e-mail: a_maikov@phys.msu.ru