Sentence examples for the associated boundary from inspiring English sources

Various explicit centered finite difference schemes and the associated boundary stencils have been derived and analyzed.

The associated boundary value problem is reduced to a Fredholm integral equation.

This is accomplished by minimizing a properly defined penalty function for the associated boundary value problem.

And hence, the accuracy and efficiency of the associated boundary elements are improved through the newly derived analytical solutions.

The equation of motion and the associated boundary and the continuous conditions are analytically obtained by using Hamilton's variational principle.

Besides the multigrid scheme, all other efficient iteration methods can also serve as the linear algebraic solver for the associated boundary value problems.

The vertical deflection of the composite box girder bridges with corrugated steel webs is obtained by solving the governing equations with the associated boundary and load conditions.

We provide a full analytical exposition of the governing equations and the associated boundary value problem for the large deformation and for the superimposed small-amplitude wrinkles.

The family of the LTS schemes is then extended to multidimensional by time splitting procedure, and the associated boundary condition treatment suitable for the LTS scheme is also imposed.

The characteristic equations are then derived directly in an exact sense by solving the equations of motion in matrix form by combining the associated boundary equations and the modified Fourier series representation.

By using Fourier integral transform, the associated boundary value problem is reduced to a singular integral equation with generalized Cauchy kernel, the solution of which is given in closed form.