Sentence examples for integration formula from inspiring English sources

The resulting integral equations are solved with the Jacobi integration formula.

The system of singular integral equations is solved numerically using the Gauss Jacobi integration formula with equilibrium and consistency conditions.

By using the Fourier transform, the problem can be formulated into a system of singular integral equations and solved by applying the Gauss Chebyshev integration formula.

A system of singular integral equations is derived and then solved numerically by using Gauss Chebyshev integration formula.

The regular part of the shear stress is numerically determined with the use of Gauss Jacobi integration formula.

We then derive a symmetric and arbitrarily high-order Birkhoff–Hermite time integration formula for the nonlinear abstract ODE.

Using Gauss Chebyshev integration formulas, the integral equations can be transformed into the form of algebraic equations, with which the disclination densities and the stress intensity factors associated with each crack tip can be computed.

Therefore, in this paper, new efficient so-called nonproduct numerical integration formulas designed specifically for integrating complete polynomials of degree d over triangular prisms are derived using the method of polynomial moment fitting, where the weights and points of the formulas are determined by a system of coupled, highly nonlinear equations.

We have implemented high-order Newton-Cotes integration formulas through 16th order for use in the integral equation formulation of scattering theory.

Integration formulae for the response spectra for the root mean square (r.m.s).

In this section, we derive the pathway integration formulae involving the extended Mittag-Leffler functions from (6).