This paper presents a new discretization scheme for hyperbolic systems of conservation laws. It satisfies the TVD property and relies on the new high-resolution mechanism which is compatible with the genuinely multidimensional approach proposed recently. This work can be regarded as a first step towards extending the genuinely multidimensional approach to unsteady problems. Discontinuity captur...

In this paper the zero reaction limit of the hyperbolic conservation law with stiff source term of monostable type ∂tu+ ∂xf(u) = 1 u(1− u) is studied. Solutions of Cauchy problems of the above equation with initial value 0 ≤ u0(x) ≤ 1 are proved to converge, as → 0, to piecewise constant functions. The constants are separated by either shocks determined by the Rankine-Hugoniot jump condition, o...

A telemetric biofeedback concept for continuous monitoring of bone healing is introduced. The system is based on an implantable electronic unit with on-board data processing of deformations or displacements of fracture fixation devices. In contrast to existing solutions, it allows for autonomous long-term data collection over several months. The system enables observing fracture motion and pati...

WE necessarily express ourselves by means of words and we usually think in terms of space. That is to say, language requires us to establish between our ideas the same sharp and precise distinctions, the same discontinuity, as between material objects. This assimilation of thought to things is useful in practical life and necessary in most of the sciences. But it may be asked whether the insurm...