Sentence examples for smooth solution from inspiring English sources

Additionally, a novel adaptive smoothness constraint is imposed to ensure a smooth solution.

We establish the existence of a local smooth solution of the stochastic Euler equations in R3.

The existence and uniqueness of the classical solution as well as smooth solution of the closed-loop system are justified.

Therefore, very coarse high-order discretizations accurately resolve the piecewise smooth solution throughout the domain, provided the discontinuity is tracked.

We then use the Szegö projection to show there is a smooth solution for the ¯∂b problem given smooth data.

The method converges fast to a smooth solution, and the resulting horn has good impedance properties throughout the entire frequency band of interest.

For the singular nonlinear BVP, the correct boundary conditions are derived to guarantee that its linearization has a unique smooth solution.

Our new stabilized methods are L∞ stable, second order accurate for any smooth solution and with accuracy of order 2/3 for solutions with moving discontinuities.

We implement an error indicator and a shock identifier to capture shocks with slope-limited linear elements, while using high-order Legendre polynomials for smooth solution regions.

With the underlying scale-separation strategy, sixth-order accuracy for τK in the smooth solution regions is designed for good performance and robustness.

Suppose that a local smooth solution satisfies (1.5).