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There are two methods of design: analytical one based on Lame's solution and numerical one based on finite element modelling (FEM).
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The numerical ODE solver chosen is a Runge-Kutta one, based on Dormand-Prince (4, 5) pair [6].
The numerical solution for λ 1 ∗ based on the DBFDA of K ∼ ˙ T is less accurate than the one based on the LBFDA of this matrix.
Furthermore, two new methods are proposed for circular sections: one analytical and one numerical based on the Gauss Legendre quadrature.
Among various clipping methods, the ones based on the Bernstein Bézier form have good numerical stability.
Analytical models are commonly based on wave propagations and/or modal analysis, while the numerical ones are mainly based on the element-solutions, such as the standard FEM and/or BEM.
The numerical solutions based on one- and two-dimensional diffusion equations are compared with Tan's and Beaudry's approximations.
Nevertheless the Minnesota Senator had won a "moral victory," and it quickly passed for a numerical one in a pastime which is based less on the popular will than on popular psychology.
More precisely, starting from the continuum Dirac equation, it is shown that QW's can be placed in one-to-one correspondence with numerical schemes based on operator splitting and the QLB scheme.
Some theories are based on an analytical approach and some on a numerical one, namely the finite element method.
The present method was developed with reference to existing numerical results based on one-dimensional radiative transfer code.
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