Sentence examples for use a variable order from inspiring English sources

We use a variable order, variable step size, backward differentiation formula based numerical integrator (DDASPK [ 37]) to obtain the solution of equation (1).

The equations are solved using a variable-order Adams Bashforth Moulton scheme and adequate error tolerances of the numerical scheme are established by reversing the direction of time marching.

Using a variable low-order field aberration corrector in conjunction with an adaptive optics system might be an alternative to the multi-conjugated AO system proposed recently [ 61, 62].

The system of equations is solved in MATLAB using the stiff solver ode 15s, a variable order multistep solver.

In the present paper, we have derived generalized non-polynomial cubic spline schemes of second- and third-order using a variable mesh for solving system of two point boundary value problems (1 - 2).

Numeric integration of the ODE system was carried out using MATLAB ode15s, a variable-order multistep solver based on the numerical differentiation formulas.

Other tools, such as Alien_hunter [ 40], use variable order compositional distributions in the query genome to identify regions likely to have been horizontally transferred.

To obtain high-order accuracy for both solution and gradient variables, we use a successive order solution reconstruction: constant, linear, and quadratic (k-exact) reconstruction with an efficient reconstruction stencil, a so-called wrapping stencil.

Putative horizontally acquired regions in the eleven classical Bordetella strains were predicted by Alien_hunter, which is able to detect genomic regions that may originate from foreign sources using Interpolated Variable Order Motifs (IVOMs) [ 41].

The algorithm reduces the CPU time dependency on expansion order p from O p2) of the classical treecode to be lower than a linear dependency in pmax, where pmax is the maximum expansion order used in the variable order expansion.

In another study by Vernikos et al. [ 21], authors used variable order motifs and relative entropy for the detection of compositionally deviating regions.