Sentence examples for usage of a numerical from inspiring English sources

The usage of a numerical optimization process was proven to be a feasible tool to reduce the amount of the required titanium material without influencing the biomechanical performance of the scaffold negatively.

The efficient computation of their dynamical characteristics requires the usage of advanced numerical methods with parallel algorithms.

This chapter reviews the usage of the numerical method of analysis that is used to model the concentration-time profiles of various reactions in a batch reactor.

Additional file 1 An animation illustrating the usage of the numerical method for integration of the bistable toggle switch problem.

One more peculiarity of our numerical scheme is the usage of a staggered grid, in which pressure, density, and temperature are specified at the same mesh points and nodes for velocity components u, v, and w are shifted half grid spacing along axes x, y, z, respectively.

Such a description requires the usage of a fine mesh and a short time step in the numerical simulations.

With growing usage of numerical programmes, good models become necessary.

The usage of numerical flow calculation (CFD) for these purposes has strongly increased over the last decade.

The availability of high-speed computers and rapid growth in algorithmic methods has helped the wide usage of numerical techniques in fracture analyses.

There has been an increasing awareness that large-scale datasets of earth-system model results would be produced and accumulated rapidly within the next few decades with extensive usage of numerical models.

This article gives a brief description of the efforts taken especially by the German automotive industry and its cooperating research institutes to improve the accuracy of life time prediction and to optimise the proof-out by usage of experimental and numerical procedures.