Sentence examples for higher order convergence from inspiring English sources

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

SAMBA's efficiency for multivariate functions with regard to data availability is further demonstrated by analysing higher order convergence and accuracy for a set of nonlinear test functions with 2, 5 and 10 different input distributions or histograms.

Results are presented that demonstrate high order convergence and excellent agreement with reference data.

The high order convergence is achieved by formulating regularised integration kernels, analogous to a smoothing of the solution field.

The high order convergence and the robust capturing of shocks are investigated numerically in several test cases.

High order convergence is shown formally for spectral elements with up to 8th order polynomials for both homogeneous and heterogeneous permeability fields.

By taking advantage of revising the stochastic increment, Milstein's method achieves the high order convergence and can be more accurate to approximate the exact solution.

Consequently, in order to achieve high accuracy and high order convergence, additional numerical algorithms are required to enforce the interface jump conditions in solving elliptic interface problems.

Besides the standard techniques of the energy method, a new technique and some important lemmas are proposed to prove the high order convergence.

For advection of fields with cusps and discontinuities, the high order convergence is lost, but in all cases, p= 6 outperforms p="3 for the same degrees of freedom.

In this way differential operators such as the divergence or curl of the solution field can be solved to the same high order convergence without additional computational effort.