Sentence examples similar to analytical numerically from inspiring English sources

Semi-analytical, numerically inexpensive models of the processes and structure enable a thorough investigation of the couplings between process and structure by comparing four design formulations: in decoupled problems, either the process or the structure is optimized; then, the process is optimized with targetted low or high structural performance.

It is shown that the present solutions are analytical and numerically in exact agreement with different degenerate cases.

The symbol error probability expressions obtained contain single integrals with finite limits and integrand composed of elementary functions which help us evaluate our analytical expressions numerically.

For instance, we derive analytical and numerically tractable (compared to exhaustive Monte-Carlo simulations) expressions, for both the constrained capacity and the coded BER.

The absorption of mass by a liquid curtain is determined both analytical and numerically as a function of the Froude and Peclet numbers, pressure difference, convergence parameter, initial thickness-to-radius ratio and nozzle exit angle.

Finally, the analytical model is numerically and experimentally validated.

All our important analytical findings are numerically verified with the help of Mathlab in Sect. 5.

All the analytical results are numerically simulated in order to verify their correctness.

The analytical reconstruction was numerically implemented and tested for the detection of blockages.

Furthermore, the particle flow code is applied based on the analytical solution to numerically simulate the fracturing effect of PHF.

Like all applications in trajectory design, the design of solar sail trajectories requires a transition from analytical models to numerically generated realizations of an orbit.