Sentence examples for by the variational method from inspiring English sources
Furthermore, the chain length distribution function is obtained by the variational method.
The optimal functions of the temperature distributions of the automobile exhaust pipe and TPVC are obtained by the variational method and the modified Lagrangian formulation.
The functions of the dry-modal mode are used as trial functions to solve the equations of the complex-modal mode by the variational method for the natural frequencies and modes of the wet modal.
In order to test the method, the transport coefficients, i.e. thermal conductivity and viscosity for all noble gases, are calculated and compared with those obtained by the variational method using the Sonine polynomials expansion.
A set of equations for the free vibration of an inclined bar with an end constraint including the effect of rotatory inertia and shear deformation is derived by the variational method.
This result, together with Berezin's inequality, allows us to obtain a refined version of the Li Yau estimate for the counting function of the Dirichlet Laplacian which implies the Li Yau estimate itself and, at the same time, the asymptotic results obtained by the variational method.
The spectral element model is formulated from the governing equations of motion in the frequency domain by using the variational method.
We developed a spectral element model for a metallic beam with a bonded composite patch by using the variational method.
A general equilibrium condition which is valid for both the smooth surface and the rough surface situations is derived by using the variational method.
The correlative method can describe the correlation between neighbouring scales or levels, but has faced with closure problems within a level, which can be solved by incorporating the variational method that correlates different scales through stability conditions.
By using the variational method of the Pekar type, we theoretically study the temperature effects on the asymmetric quantum pseudo dot qubit with a pseudoharmonic potential under an electromagnetic field.
