Sentence examples for most numerical solutions from inspiring English sources

However, most numerical solutions for beam on an elastic foundation are obtained by mesh based methods, such as finite element or finite difference methods.

The most accurate numerical solution is taken as a reference for error analysis, thus the error estimates listed in the table are conservative, since they approximate the numerical error at the last but one quadrature level.

Furthermore, from Table 3, it was realized that the most accurate numerical solution occurred at the elliptic points of (r x,t)), and the ideal node point of (r x,t)) is (x=0).

From Tables 1 and 2, it was realized that the most accurate numerical solution occurred in the timelike case of (r x,t)), and there exists at least one degenerate point near (x=0.94).

Furthermore, it is most likely that numerical solutions (modeling) could help to better understand and interpret the multivariable aspects of this complex issue.

One of the most powerful tools for numerical solutions to nonlinear and linear problems of (DEs) and FDEs is devoted to the generalized differential transform method (GDTM).

In most cases, we depend on numerical solutions of such partial differential equations.

Even though non-linear dimensionality reduction techniques might provide better representations of complex data, their extensions to new data are iterative in nature without exact numerical solutions in most cases.

Most methods for numerical solution of this equation entail reduction to an approximately equivalent algebraic problem.

In most cases, the numerical solution obtained with various reduced grids is as accurate as the regular grid solution.

This method, unlike most numerical techniques, provides an exact solution.