Sentence examples for integrate exactly from inspiring English sources

They are able to integrate exactly the harmonic oscillator.

In this work we construct new Runge Kutta Nyström methods especially designed to integrate exactly the test equation y″="−w2y.

These methods integrate exactly the unperturbed oscillators and are highly efficient when the perturbing function is small.

The convolution with the singular kernel is then integrated exactly.

The formula enjoys a symmetry property ensuring that a proportion of 7/8 of all Spherical Harmonics is integrated exactly.

The element stiffness coefficients are integrated exactly, yet the element exhibits no shear locking due to the use of an interdependent interpolation scheme and consistent shear strain fields.

The sampling points t i and the associated weights are those of Gaussian integration rules and are such that the products of the different time-dependent terms are integrated exactly over the time span of the core field model.

The differences are obviously due to the fact that QLB is based on a LB formulation combined with a Crank-Nicolson average to insure stability while the splitting scheme separates the Dirac equation into different operators which can be integrated exactly.

When the migration coefficients are zero, this dynamic can be integrated exactly (see File S1, section 1).

By using these natural coordinates as the finite element basis functions we can integrate the corresponding integrals exactly thereby achieving a high level of accuracy and efficiency for modeling physical problems on the sphere.

The very day before Jeb's remarks, the National Academies of Sciences, Engineering and Medicine released a comprehensive report which found that the largely non-white immigrants of today are integrating with exactly the same breadth and at the same speed as did the predominantly Eastern and Southern European immigrants of a century ago.