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The NNMs of strongly nonlinear vibration systems are constructed via the analytic approximation of the solution of the geodesics.
The aim of such a technique is to construct a reduced basis approximation of the solution of the SSP problems.
Using a two-time-scales perturbation method an approximation of the solution of the initial boundary value problem is constructed.
The constraints are used to impose desired behavior on the numerical approximation of the solution of the conservation law.
The algorithm is based on the numerical approximation of the solution of the equations on a hierarchical set of meshes with different resolutions.
The procedure of Robbins-Monro algorithm (i.e., the updating of -value) is the stochastic approximation of the solution of the equation.
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E i ≠ ∞ then the solution of (4) is the approximation of the solution of (3).
We now introduce the dual least squares method for approximation of the solutions of problem (1.1).
It turns out that the solution of the convex problem is a highly accurate approximation.
(18) – (20) and the solution of the boundary value problem Eq. (21) given the diffusion approximation.
Sampling of the resulting surrogate polynomial model yields an approximation of the moments of the solution.
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