Sentence examples for solution in time with from inspiring English sources

The numerical methods considered advance the solution in time with (weak) second-order accuracy with respect to the time step size.

For the transonic flow at spatial infinity, the solution converges to the stationary solution in time with the lower rate than that of the initial perturbation in the spatial.

Price action in the world's financial markets dictate that investors still believe a solution will come in time, with the possibility of a short term solution to deficit cuts and raising the debt ceiling now appearing most likely instead of the longer term plan the Democrats would prefer.

The spatially reconstructed solutions are evolved in time with a fourth-order accuracy by tracing the characteristics of the cubic polynomials.

Extensive numerical results show that the MTI-SP method converges uniformly and optimally in space with exponential convergence rate if the solution is smooth, and uniformly in time with linear convergence rate at O for ε∈ 0,1] with τ time step size and optimally with quadratic convergence rate at O τ2) in the regime when either ε="O(1) or 0<ε≤τ.

Moreover, we also show the blowup of solution in finite time with nonpositive initial energy.

The below theorem shows that the previous algorithm gives an -approximate solution in polynomial time with high probability for general sets.

Meanwhile, similar to [2], he also proved the blow-up of the solution in finite time with negative initial energy, using the technique of appropriate modification for energy functional.

The main results show that the solutions of that system decay uniformly in time, with rates depending on the rate of decay of the kernel of the convolutions.

In [10], the authors studied the inverse problem for restoration of the initial data of a solution, classical in time and with values in a space of periodic spatial distributions for a time-fractional diffusion equation and diffusion-wave equation.

We will show the blow up of solutions in finite time with positive initial energy.