• This paper analyzes a seven-dimensional system of ODEs as model malaria propagation and seeks qualitative properties the on numerical levels so-called dynamical consistency. The is solved by nonstandard θ -method including nonlocal scheme standard to right side step-size function approximate time derivatives with first-order consistency valid for any step size. addresses reliable mathematical...

We study hyperbolic systems of one-dimensional partial differential equations under general, possibly non-local boundary conditions. A large class evolution equations, either on individual 1-dimensional intervals or general networks, can be reformulated in our rather flexible formalism, which generalizes the classical technique first-order reduction. forward and backward well-posedness; further...

1 Overview A simulation contains a sequence of predicted states of a modeled system. A qualitative-numeric simulation is one containing both qualitative and quantitative state information, such that the qualitative information alone would be a qualitative simulation, and the quantitative information alone would be a numerical simulation. Qualitative-numeric simulation is thus a generalization o...