SOME ASPECTS CONCERNING THE NUMERICAL SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS WITH DISCONTINUOS INITIAL DATA USING A FINITE-DIFFERENCE METHOD

V. Ya. Urm
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1984. Вып.1. С. 18-24.

      Several aspects concerning an asymptotic behavior of partial differential equation solutions are considered. Running waves behavior is studied including their locations and discontinuity "smear” criteria. Appropriate formulae are obtained which are applied to a number of difference schemes being investigated. The method proposed is generalized onto 1-D and 2-D system of difference equations.