Sentence examples for product approximation from inspiring English sources

We study the effect of product approximation on the Galerkin solutions of the one-dimensional cubic Schrödinger equation.

If product approximation is applied to the numerical representation of the nonlinear terms, then the scheme is fourth-order in space in the finite difference sense.

In particular, the separability of the power spectrum between the base station and the mobile is investigated, and a model is proposed and validated, based on the sum of polarization pairwise Kronecker product approximation.

Based on the block-triangular product approximation to a 2-by-2 block matrix, a class of hybrid preconditioning methods is designed for accelerating the MINRES method for solving saddle-point problems.

We show that by applying the Kronecker product approximation, the storage of a three-dimensional demagnetizing tensor with N6 entries can be reduced to O N2), showing a superlinear compression behavior.

The general form of the sum of channel polarization pair-wise Kronecker product approximation is proposed to be used to model the joint polarimetric angular PSD between the BS and MS. Finally, the double-directional PSD channel model is proposed and verified by comparing the cumulative distribution functions (CDFs) of the measured and modeled ergodic mutual information.

Similarly, in the cases where the correlation structure is not separable through the Kronecker product, [24] discusses some insightful details about the nearest Kronecker product approximations.

The errors due to the Hartree-product approximation for the molecular wave function in X-Pol can be systematically corrected using variational and embedding many-body expansions (VMB n and EMB n).

In the numerical experiment, the shape function is the first-order Legendre shape function and multi-dimensional polynomials are formed by "tensor-product" approximations to preserve the orthogonal property for mass matrices.

In computational experiments we assume edges and nodes (PPIs and single proteins) have the same importance, so we introduce the square of the expression value of each gene, comparable to the product-form approximation of PPIA, to substitute the original gene expression level.

If after collaboration a watch is deemed necessary, the Storm Prediction Center will issue a watch approximation product which is followed by the local NWS office issuing a specific county-based watch product.