Sentence examples similar to a stochastic solution was from inspiring English sources

Here a stochastic solution is obtained for the magnetohydrodynamics equations.

Our results indicate not only that the stochastic solution is an improvement over the deterministic solution but also that the solutions' differences grow with increasing uncertainty.

The stochastic solution is compared with the conventional one, and a global sensitivity analysis is undertaken to identify the most important uncertainties.

Simple formulas for statistical moments of the stochastic solution are presented.

The stochastic solution is represented in the complex z-plane, and is inspired by the corresponding approach to deterministic PDEs already established in the literatures.

The construction of stochastic solutions is a powerful method to obtain localized solutions in configuration or Fourier space and for parallel computation with domain decomposition.

In this part of the work, only strong (path wise) stochastic solutions are constructed.

The accuracy of the stochastic solutions is investigated by comparing the first two moments against analytical and Monte Carlo simulation results.

The proposed methods are suitable for, but not restricted to, problems whose stochastic solutions are sparse in the stochastic space with respect to the gPC bases while the deterministic solver involved is expensive.

In both cases we find that the standard deviation of the Gaussian predictors as well as the absolute errors relative to benchmark stochastic solutions are very small, suggesting that the proposed multi-fidelity GPR approaches can yield highly accurate results.

Initially, a stochastic dynamics solution is used to obtain a family of simulated non-stationary earthquake records whose response spectrum is on the average in good agreement with the target spectrum.