Multiplying (3.2) by and integrating on, then using integration by parts in the left side, we have (3.3).
Multiplying the above inequality by (psi_{1}(t)) and integrating on I, then using integration by parts for the left side, we obtain {lambda_{1}} int_{0}^{1}{u_{1}}(t) psi_{1}(t),d tge b_{0} int_{0} ^{1}{u_{1}}(t) psi_{1}(t),dt.
In NPSBFEM3D, conforming shape functions are constructed using the semi-analytical solution derived from elastic surface elements, while the integrations are accomplished using internal Gauss points in the radial direction instead of integrating on the boundary surface elements.
Americans are already integrating on their own by sitting in front of the television with their laptops.
By integrating on (3.48) over we have (3.49).
Multiplying (2.6) by and integrating on and, respectively, we get (2.7).
Integrating on both sides of (3.5) from to with respect to, we have (3.6).
Multiplying (2.17) by and (2.19) by, subtracting, and integrating on both sides, we obtain (2.21).
A quadrature technique is proposed for accurately integrating on general cut cells.
This method of integrating on a staggered grid gives enhanced dissipative and dispersive characteristics.
"We're going to be integrating on the aircraft soon, and then we'll start our flight test process".
