Sentence examples for some nonlinear problems from inspiring English sources

However, there are the phenomena of convergence failure such as periodic oscillation, bifurcation and chaos in the FORM for some nonlinear problems.

There are three cases in the Yamabe problem (see Aubin [T. Aubin, Some Nonlinear Problems in Riemannian Geometry, Springer-Verlag, New York, 1998]) according to the sign of the inf of the Yamabe functional.

This method has been used by many researchers to solve some nonlinear problems in fluid mechanics [10 17].

A fairly common method in solving some nonlinear problems is to replace the original problems by a family of regularized (or perturbed) ones.

In fact, it can be used as a new fundamental tool for solving some nonlinear problems, particularly, some problems related to projection operator.

Recently, many authors have studied the common solution problem, that is, find a point in a solution set and a fixed point (zero) point set of some nonlinear problems; see, for example, [11 30] and the references therein.

Using Brouwer's fixed point theorem, we prove the existence of solutions for some nonlinear problem with subcritical Sobolev exponent in (S_^{4}).

Once this is clear, some results on nonlinear problems in [5, 6, 8] can be extended by using eigenvalues of.

For nonlinear problems, some special limiters are constructed to capture the singularities precisely.

We present numerical results on the effects of passive and active symmetrization for some stiff linear and nonlinear problems.

The proposed method is demonstrated via construction of invariant numerical schemes with fixed (and higher) order of accuracy for some common linear and nonlinear problems (including the linear advection diffusion equation in 1D and 2D, inviscid Burgers' equation, and viscous Burgers' equation) and the performance of these invariant numerical schemes is further evaluated.