Sentence examples for by direct integration of from inspiring English sources

All analytical developments and results are compared with those obtained by direct integration of system equations.

In the exact method, the result is obtained by direct integration of the piecewise flexural stress distribution of the beam.

The search for optimum process parameters is executed by direct integration of numerical models and GA-based optimization technique.

Temperature-composition correlations were extracted and compared with results obtained by direct integration of a PDF evolution equation.

The exact expressions are presented in two different ways, Laplace transform and by direct integration of joint probability density function of eigenvalues coming from the quotient ensemble.

Since it is usually laborious to solve the displacement field by direct integration of strain in a non-prismatic beam segment using global coordinates.

Additional insight on the dynamics of these systems is obtained by direct integrations of the equations of motion and by numerical Poincaré maps.

In this process, since the gradient is usually non-integrable, the output cannot be obtained by the direct integration of gradients.

This paper reviews presently available techniques for quantification of inherent safety level in a design and addresses the shortcoming of current techniques by proposing direct integration of process design simulator with inherent safety index.

In the current method, the time accuracy is achieved by the direct integration of both time-dependent flux function at a cell interface and the flow variables inside each element.

The multiple-point boundary value problem constituted by the differential equations together with the imposed boundary conditions is solved numerically by direct integration using the 'multi-segment method' of integration.