Sentence examples for numerically solutions from inspiring English sources

Many of the problems of approximating numerically solutions to nonhomogeneous hyperbolic conservation laws appear to arise from an inability to balance the source and flux terms at steady states.

Numerically approximating solutions to nonlinear conservation laws requires applications of a conservative and stable numerical method, so that reasonable numerical solutions are obtained, such that positivity and/or monotonicity of certain physical quantities are realized.

Open image in new window Figure 1 Comparison between the analytical solution and numerically obtained solution at t = 0 for x 1 = − 2, x 2 = 2, c 1 = 0.1, and c 2 = − 0.1.

The benefit of the regularized estimation is two-fold: (1) to provide a priori external information to strengthen the solution, and (2) to stabilize the solution numerically when the solution is ill-conditioned (Tarantola, 2005).

They discussed numerically the solutions in details.

The estimates compare favourably with numerically determined solutions.

In Figure 5, numerically obtained solutions for different values of t are shown.

In this paper we investigate numerically positive solutions of a superlinear Elliptic equation on bounded domains.

The method enables numerically stable solutions with energy and mass conservation.

So far, in order to compute numerically the solutions of ((mathcal {P}_{S})), we have implemented two approaches.

We consider the problem of optimal transmission power assignment and compare simulative results with numerically computed solutions.