As a consequence, the possibly expensive ENO (essentially nonoscillatory) reconstruction as well as numerous flux computations are performed only near discontinuities, and thereby the numerical solution procedure becomes considerably more efficient.
It is formally proven that the inclusion of an additional inlet stream, free of the limiting substrate, enables global controllability and thereby provides the solution to the controllability problems pointed out by Szederkényi et al. [30], fact that have not been reported previously.
The facility gives the possibility to conduct experiments under geothermal in situ pressure and temperature conditions, thereby the solution, the flow rate, and the kind of rock are variable.
Thus, it was estimated that, along with the progression of the LPP reaction, the concentration of H+ in the reactant aqueous solution increases and thereby the level of pH of the reactant aqueous solution decreases.
Unlike alternative techniques that require different admissible functions for each different set of boundary conditions, the spectral-Tchebychev technique incorporates the boundary conditions into the derivation, and thereby enables the utilization of the solution for any linear boundary conditions without re-derivation.
This approach is based on the proposed 'Primacy Selector (S-value)' metric and 'Intersect Matrix' topology methods that have a tendency to escape local optimal solutions and thereby reach global solutions.
Engineers are interested in the response of structures, thereby in the solution of boundary value problems.
The lysed Mϕ's were vortexed and passed twice through a 21G blunt ended needle to sheer host genomic DNA and thereby reduce the viscosity of the solution.
Larger meteor echo detection rates better constrain the solutions and thereby increase the accuracy of wind estimates.
The required conditions impose structure on the state matrices of the descriptor system, and thereby allow expression of the solution of the new system in terms of smaller matrices.
