Sentence examples for by numerical solution for from inspiring English sources

The explicit new representations of the effective moduli and stress concentration factors are expressed through some building block described by numerical solution for one heterogeneity inside the infinite medium subjected to homogeneous remote loading.

The implicit recursion representations of the effective thermoelastic properties and stress concentration factor are expressed through some building blocks described by numerical solutions for both the one and two inclusions inside the infinite medium subjected to the inhomogeneous effective fields evaluated from subsequent self-consistent estimations.

It was created by numerical solutions of ordinary differential equations for the characteristics, see the theory of Text S1, Section 2.3.

The gas flow for this case has been predicted by using previously published results by the present authors of the multidimensional numerical solution for the bed containing a cavity at the surface.

The numerical solution for the model is solved by ADINA.

Numerical solution for the regularized long wave equation is studied by a new conservative Crank-Nicolson finite difference scheme.

He discussed the numerical solution for the flow equations.

Now, we consider the numerical solution for strong plasma density.

Numerical solution for the lineage propagator.

In general, we still have no analytic solution or numerical solution for HJI, except for some simple cases.

Essential steps of the proposed HBM calculations are introduced, and it is validated by comparing time and frequency domain predictions with those yielded by numerical solutions, experimental studies, or analog simulations for several examples.