On the demand side, having careful evaluation of client acceptability, provider embrace, and method uptake and continuation would be essential in the context of wide contraceptive choice.
The multiple scales method and the continuation technique are used to analyze the system dynamics.
A reduced order model (ROM) is proposed to generate multi-parameter databases of some fluid-thermal problems, using a combination of proper orthogonal decomposition, a gradient-like method, and a continuation method.
Then Newton Armijo method and homotopy continuation method are combined to solve critical points, and topological structures are extracted by connecting saddle-extremum arcs generated by a kind of numerical integral method.
For example, in [55], the problem is solved by a shooting method, and a continuation is applied on the maximal value of the thermal flux.
In this study, the shooting method and the continuation technique are applied to investigate the large amplitude motion and non-planar motion characteristic of the inclined cable subject to the support motion.
Numerical methods for solving NCPs, such as filter method, continuation method, nonsmooth Newton's method, smoothing Newton methods, Levenberg-Marquardt method, projection method, descent method, interior-point method have been extensively investigated in the literature.
This theoretical analysis helps building an efficient numerical solution procedure combining shooting methods and numerical continuation.
Based on the complex variable method and the analytical continuation principle, the thermo-elastic interface crack/delamination problem is examined and a general solution in compact form is derived for dissimilar anisotropic bi-media.
For example, many authors have obtained the existence and multiplicity of periodic solutions by various methods, such as a generalized form of the Poincaré-Birkhoff theorem, critical point theory, phase-plane analysis combined with shooting methods or fixed point theorems of planar homeomorphisms, and continuation methods based on degree theory; see [1 7] and the references therein.
