Sentence examples for many numerical problems from inspiring English sources

Solving the Navier-Stokes equations causes many numerical problems regardless of the chosen discretization method.

Determination of full equilibrium paths for shells of higher rise is very laborious and evokes many numerical problems.

Although many efforts have been paid on providing many estimates, numerical problems often exist in dependable estimation, such as 'outlier' and small samples and so on.

Among various EAs, differential evolution (DE), which characterized by the different mutation operator and competition strategy from the other EAs, has shown great promise in many numerical benchmark problems and real-world optimization applications.

Through many numerical test problems, it is shown that the use of GODRP schemes can broaden the application area of conventional DRP schemes to aeroacoustic phenomena, enhancing both the speed and accuracy of the computation using nonuniform Cartesian or curvilinear grids.

In addition, ABC has been used to solve many numerical optimization problems because it is considered to be simple technique and easy to implement and has few number of parameters.

In recent years, many numerical methods for problem (1.1) with smooth mapping F have been proposed.

Many numerical methods for deconvolution problems are designed to take advantage of the computational efficiency of spectral methods, but classical approaches to spectral techniques require particular conditions be applied uniformly across all boundaries of the signal.

Intensive study has been carried out on this kind of problem, and various inverse problems and many numerical methods developed.

The so-called p-regularity theory is applied to these purposes as an effective apparatus to investigate many nonlinear mathematical, physical and numerical problems.

The Sobolev equation plays an extremely important role in many numerical simulations of mathematical physics problems such as the fluid seepage through fractured rock or soil [3], the heat exchange in different media [4], and the moisture migration in soil [5].