Sentence examples for rigorously solved from inspiring English sources

In this study, local energy balance equations are rigorously solved with temperature-dependent properties of MR and NG feed, and are linked to the thermodynamic cycle analysis.

The way in which the decoupling is achieved allows practical problems characterized by hundreds of component-wise reliability constraints and high-dimensional discrete design variable vectors to be efficiently and rigorously solved.

Under this statement, the problem cannot be rigorously solved in polynomial time.

A finite difference time domain (FDTD) approach is used to rigorously solve the Maxwell's equations in three dimensions.

Contrary to full-wave methods, asymptotic ones do not rigorously solve the EM problem resulting in time performance improvements and problem up-sizing.

None of the methods mentioned above rigorously solve the problem of color variation, and all methods reduce the efficiency of the optical system.

The proposed essentially cyclic multi-block approach further decomposes the joint beamformer design subproblem into multiple blocks, and rigorously solves each with semi-closed-form solution.

However, numerous existing techniques that have been proposed to facilitate the design often lack the robustness and reliability needed to rigorously solve the problem, largely due to simplifying assumptions.

The treatment of the deactivation data for kinetic parameter calculation consists in rigorously solving the design equation for plug flow reactor; this method takes into account the effect of the composition of all the components on deactivation.

Diffusion and reaction inside the catalyst particles was rigorously simulated, solving the complete set of continuity equations and Stefan-Maxwell equations for 3ulticomponent diffusion by orthogonal collocation.

Thus, a problem relating to the behaviour of a single particle, for which only an average answer can usefully be given, has been converted into a field equation and solved rigorously.