Sentence examples for solutions boundary from inspiring English sources

The reverberation ray matrix can be derived by using the wave solutions, boundary conditions and dual coordinates of the lattice sandwich panel.

The reverberation ray matrix can be easily obtained by using the MRRM together with the wave solutions, boundary conditions and dual coordinates of the composite plate.

Among the areas which he studied are maximum principle methods and related phenomena such as Harnack's inequality, the compact support principle, dead cores and bursts, free boundary problems, phase transitions, the symmetry of solutions, boundary layer theory, singularities, and fine regularity properties.

The partial solutions (boundaries) are exchanged using built-in functions of the MPI.

The semi-suspended bio-carrier caused three different mass transfer zones occurring in the bioreactor, including the zones of bulk solution, boundary layer and biofilm, in which, the boundary layer zone had an obvious higher mass transfer resistance.

The extended picture in (a) depicts the bubble-solution boundary indicating the process by which fine particles were attracted to the bubble surface.

Therefore, previous studies mainly focus on the one-electron reduction reactions between different oxidation states of transition metals to avoid modeling of an electrode-solution boundary [18 20].

Furthermore, the dependence of precipitation rates on ion transport across the solid-solution boundary should also be a function of the ion ratio.

The nonexistence of a positive solution boundary value problem for a class nonlinear fractional difference equations with 3 < α ≤ 4 is considered in terms of parameter.

The methods discussed in [ 37] and [ 38] assess the curvature of the solution boundary, which is used in an analytical correction formula to estimate the magnitude of the shifted bootstrap distribution.

This procedure runs until all solutions are located in solution boundaries.