Sentence examples for problems boundaries from inspiring English sources

In many engineering problems, boundaries with sharp corners or abrupt changes in the boundary conditions and/or the material properties give rise to singularities of various types which tend to slow down the rate of convergence with respect to decreasing the mesh size of any standard numerical method used for obtaining the solution.

What are the problem boundaries?

In this paper, a procedure is advanced that locates CVBEM nodal point locations on and exterior of the problem boundary such that error in matching problem boundary conditions is reduced.

To obtain a well-posed problem, boundary conditions have to be prescribed on the inflow part of the domain boundary.

This method solves the forward problem (boundary radiance at each wavelength) and the inverse problem (spatial distribution of chromophores concentrations) simultaneously using a reduced Hessian sequential quadratic programming (rSQP) method [ 13, 17].

Then the desired stochastic representations are obtained for boundary value problems, initial boundary value problems, and the initial value problems, respectively.

As special case of nonlocal boundary value problems, multipoint boundary value problems at resonance case have been studied by some authors [5 11].

We solved ODE numerically by considering two-point boundary value problems where boundary conditions are specified at both ends of the range of integration.

(Paladino, by the way, has had his own problems with boundaries.

However, in some practical problems, the boundary data on the whole boundary cannot be obtained.

The work includes the multipoint boundary problems and integral boundary problems as special cases.