Sentence examples for method high order from inspiring English sources

In order to improve the accuracy of the conservative level set method, high order numerical schemes are used.

Griffith, C.S. Peskin, On the order of accuracy of the immersed boundary method: higher order convergence rates for sufficiently smooth problems, J. Comput.

To further deal with phase errors (or terracing) common in FCT type methods, high order background dissipation is added to the antidiffusive correction.

However, in the context of implicit time-stepping methods, high-order finite elements present challenges to the construction of efficient simulations due to the high cost of inverting the denser finite element matrix.

Our method is high order accurate and the optimal order of convergence is rigorously proved.

Numerical results demonstrate the method's high order accuracy, robustness and shock capturing capability.

Results confirming the method's high order of convergence are shown.

This paper aims to propose an AMR method with high order accuracy for numerical investigation of multi-dimensional detonation.

In comparison with Riemann solver based 5th-order RK method, the high order GKS has advantages in terms of efficiency, accuracy, and robustness, for all test cases.

In order to develop an AMR method with high order accuracy, high order prolongations in both space and time are utilized in the data prolongation procedure.

The method uses high order polynomials, as arguments in cosine functions, to specify the desired path directly in joint-space.