Sentence examples for higher order version from inspiring English sources

PLANE82 is a higher order version of the two-dimensional, four-node element (PLANE42).

An improved and a more general higher order version of the LTL method is also considered.

Most proposals for dynamic versions of Montague grammar develop what are in fact higher order versions of dynamic predicate logic (DPL).

It is also observed that higher order versions of MTrL/MTnL with Lagrangian interpolations may not work satisfactorily and hence spline interpolations are suggested to overcome this problem.

See [4] for higher order versions of Theorems 1 and 2. None of these results provide any information as regards the basins of attraction of different equilibrium solutions or period-two solutions when there exist several equilibrium solutions and period-two solutions.

In this paper, we firstly extend the pipelined second-order adaptive Volterra filter to its high order version.

Using the spectral decompositions in a fundamental way, we construct high order versions of the basic first-order scheme described by R. Donat and A. Marquina in (J. Comput. Phys.125, 42 (1996)) and test their performance in several standard simulations in one dimension.

Quantification here is assumed to be first-order: higher-order versions of linear logic can be written along standard lines.

In addition, the present scheme has been extended to high-order versions including third and fourth order.

They are too dissipative for direct simulations of turbulence and lack robustness when very-high-order versions are applied to complex flows.

We use the characteristic decomposition and the method-of-lines approach to construct high-order versions of the first-order scheme and demonstrate their efficiency and robustness in several numerical tests.