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In short, the model uses a finite volume method by solving a depth averaged shallow water approximation.
Then, we propose the controller design method by solving a nonlinear trace minimization problem.
Numerical results illustrate the applicability of the proposed method by solving several unit commitment problems directly and through the Lagrangian relaxation of the original problem.
We test the validity and parallel performance of the method by solving several pure diffusion problems (i.e. with no particle interactions) with known analytical solution.
The thermal stress distributions in the rotary air-preheater are then formulated using an analytical method by solving coordination, structural and geometrical equations.
We verify the new method by solving model problems both in the single and multiple spectral element case, and we compare this method with other traditional alternatives.
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We add this tilting effect into both measurement methods by solving the migrating grain-boundary profiles for arbitrary θ.
This method is compared with several widely used solution methods by solving 15 test problems from different chemical engineering application areas.
We present an approach for computing extensions of velocities or other fields in level set methods by solving a biharmonic equation.
This considerably reduces the cost of the bifurcation tracking methods by solving for the bifurcation point on a small subspace of the system containing only the least stable dynamics.
On the other hand, graph-theoretical approaches avoid the computational complexity of constraint-based methods by solving a simpler problem of finding shortest paths.
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