5 citations · 8 across the 12 of their papers we have counts for
3 papers · 1 filter
Symplectic modules over Colombeau-generalized numbers
Sanja Konjik, Guenther Hoermann, Michael Kunzinger
We study symplectic linear algebra over the ring $\Rt$ of Colombeau generalized numbers. Due to the algebraic properties of $\Rt$ it is possible to preserve a number of central res…
The wave equation with a discontinuous coefficient depending on time only: generalized solutions and propagation of singularities
Hideo Deguchi, Guenther Hoermann, Michael Oberguggenberger
This paper is devoted to the investigation of propagation of singularities in hyperbolic equations with non-smooth oefficients, using the Colombeau theory of generalized functions.…
Wave equations and symmetric first-order systems in case of low regularity
Clemens Hanel, Günther Hörmann, Christian Spreitzer +1
We analyse an algorithm of transition between Cauchy problems for second-order wave equations and first-order symmetric hyperbolic systems in case the coefficients as well as the d…