Sentence examples for derivation approximation from inspiring English sources

In comparison with finite difference discretization, the LTBPM introduces Laplace transform and Stehfest NILT algorithm to deal with time fractional derivative term, which evades costly convolution integral calculation in time fractional derivation approximation and avoids the effect of time step on numerical accuracy and stability.

In this derivation, Approximation 1 is used once.

These methodologies include analytical derivation and approximation techniques, Monte Carlo error analysis, and error analysis in metabolic inverse problems.

The derivation of approximation (6) for a special situation of two strains is given in Appendix.

Within the derivation no approximations are made so that also the causality condition is satisfied; see the Results section.

In addition we also provide the derivation of discrete approximation for the Caputo fractional derivative based on a quadrature formula.

Their heuristic derivation involves two approximation steps.

The employment of these specific boundary conditions required the derivation of suitable approximation functions, here reported in parametric form.

To simplify the derivation of an approximation of the PAPR distribution, we will consider the discrete-time definition of the PAPR.

Our derivation applies the approximation that s i,j  ≫ 1 / γ j, which has been found to be valid numerically [7].

For the purpose of the following derivation, a spherical approximation to the transformation between Cartesian and the geodetic coordinate system is sufficient: (9) (10) (11 where R is the approximate Earth's radius.