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Finally, the numerical experiments, including a nonlinear Schrödinger equation, a sine-Gordon equation, a nonlinear Klein Gordon equation, and the well-known Fermi Pasta Ulam problem, are implemented in comparison with the corresponding symplectic RK methods and the prominent numerical results definitely coincide with the theories and conclusions made in this paper.

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In order to test the system for functionality and implementation results, a widely used standard system identification problem is implemented.

The optimal control problem was implemented via an interface to a dynamic optimization code.

The CAD model matching problem is implemented as key points matching.

Finally, a practical engineering optimization problem was implemented with suggested coupled BBNS and obtained good results.

A non-linear multi-objective optimal control problem is implemented and numerically solved obtaining minimal annoyance trajectories.

It reviews the concept of interpolation and shows how the interpolation problem is implemented by a radial basis neural network.

The NLP problem is implemented within the AMPL modeling environment and is solved using IPOPT, an interior-point NLP solver.

In this paper, the design sensitivity formulation of a semi-coupled structural acoustic problem is implemented using the WBM.

To demonstrate that the proposed method can be applied to model validation problems successfully, a validation benchmark, the static frame challenge problem, is implemented.

The Bayesian forecasting system (BFS) for this problem is implemented as a Monte-Carlo algorithm that generates an ensemble of realizations of the river stage time series.

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