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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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Then, we propose the controller design method by solving a nonlinear trace minimization problem.
Later, Bnouhachem et al. [17, 18] have proposed a new inexact LQP alternating direction method by solving a series of related systems of nonlinear equations.
In this section, three examples are given to illustrate the performance of the sinc-Galerkin method by solving nonlinear Dirichlet-type boundary value problems.
The calculations are performed within the k → p → method by solving the full 8 × 8 Kane's Hamiltonian, generalized to treat different materials.
But in the latter method by solving only n problems, classification, variations ranges of inputs and outputs and radius of stability of all DMUs are identified.
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.
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