Sentence examples for using the collocation scheme from inspiring English sources

A discrete analogue of equations is constructed by using the collocation scheme.

We show convergence orders for the collocation scheme in the context of general initial value problems in Section 8 and illustrate the theoretical findings by experiments carried out using the Matlab code bvpsuitebvpsuite in Section 9.

The collocation scheme (14) is unconditionally stable.

In the proposed collocation scheme, unlike the most existing collocation schemes, the boundary conditions are satisfied automatically in the collocation scheme.

This means that the collocation scheme (42), (43), and (44) is closed.

The collocation applied to solve (36) was studied in [19], where in particular, unique solvability of the collocation scheme and the convergence properties have been shown.

To describe the numerical implementation of the collocation scheme (10), we expand the collocation solution as u^{N}(t)=sum_{l=0}^{N+1} hat{u}_{T,l}^{N}L_{T,l}(t)inmathcal {P}_{N+1}(0,quaduad 0< tleq{T}.

In both cases, the linear systems of the collocation schemes using the new basis can be solved by an iterative solver within a few iterations.

The continuous operation of the reactor is described by limit-cycle dynamic solutions and numerically computed using Radau collocation schemes and solved using CasADi׳s interface to IPOPT.

3-D perturbation equations were discretized at the collocation grid points using the Chebyshev-collocation method.

The developed models were then reduced using the orthogonal collocation method.