Sentence examples for solution the evolution of from inspiring English sources

During the iterative solution, the evolution of solidification interface and the solute diffusion in solid phase were explicitly tracked and solved, while other transport equations were implicitly solved in staggered grids with the block-corrected TDMA approach.

For each material, in a given medium (water or Ringer's solution), the evolution of the microhardness value was measured on 24 samples identical to those used for wear measurements.

Using these solutions the evolution of ground deformation and gravity changes are then evaluated.

While the evolution of the solution is still through the classical numerical fluxes to ensure convergence to weak solutions, the evolution of the first derivatives of the solution is through a simple dimension-by-dimension non-conservative procedure to gain efficiency.

On the basis of lattice contraction and precise measurements of the composition of the solid solution phases, the evolution of theoretical density with dopant concentration is derived.

A drop population balance leads to an integrodifferential equation whose numerical solution yields the evolution of the PSD.

In this case, a series of computational experiments has been conducted to find an approximate exponential solution for the evolution of nodes' beliefs over time.

Moreover, an analytical solution for the evolution of the size distribution, appropriate to the conditions in this study, has been obtained (Kumaran, 1998).

Coastal geologists were opposed to the solution, stating the evolution of the Outer Banks is dependent on inlets from hurricanes.

It provides an elegant and simple solution to the evolution of complex circuitry in that a 'microevolutionary' molecular change (changing the expression of one gene in one cell) can have 'macroevolutionary' consequences on the brain's circuitry (changing an entire macrocircuit or an information processing module).

Some of the solutions concern the evolution of suburban Outer London.