Sentence examples for using the Padé approximation from inspiring English sources

The magnetic behaviour of 3 was analysed using the Padé approximation of the Bonner Fisher model for S = 1/2 antiferromagnetic chains.

In the state space method (SSM), a system of eight coupled first order differential equations is solved for each shell substructure using the Padé approximation for matrix exponentiation.

In addition, the time-domain solution of SDR for the confined aquifer is developed analytically after taking the inverse Laplace transform and the time-domain solutions of SDR for the leaky and unconfined aquifers are developed using the Padé approximation.

Using the Padé approximation method, we will sharpen the inequality (1.5) as follows.

For this reason, using the Padé approximation may not always be the best choice.

Using the Padé approximation method we improve the celebrated Wilker inequality as follows.

We use the Padé approximation (PA) technique to obtain closed-form approximate expressions for the moment-generating function (MGF) of the Weibull random variable.

Although this approach can be simple to use, the Padé approximation will not always introduce the zeros and poles of the transfer function at the correct locations, and may introduce spurious zeros and poles to the approximated transfer function.

And then we use the Padé approximation to improve some remarkable inequalities involving inverse trigonometric functions, we show that the new inequalities presented in this paper are more refined than that obtained in earlier papers.

It is the aim of this paper to give the refinements of the aforesaid inverse trigonometric inequalities using the Padé approximant method.

Bercu [7] used the Padé approximations to prove certain inequalities for trigonometric functions.