Sentence examples for by solving the generalized from inspiring English sources

By solving the generalized nonlinear Schrödinger equation, we demonstrate supercontinuum generation extending from the near infrared to the mid infrared region.

The solution to this optimization problem is given by solving the generalized Eigenvalue problem given below.

The modal characteristics of the pipe vibrations have been obtained by solving the generalized eigenvalue problem.

For each fixed slider attitude, the air bearing pressure is obtained by solving the generalized Reynolds equation.

Theorem 1 Let F j, n ( t ) for j = 1, …, m be the Bernstein polynomials of degree n such that their coefficients have been produced by solving the generalized linear system (7).

The projection matrix that minimizes Equation 16 can be obtained by solving the generalized eigenvalue problem: Y L b W w U = λ Y D w Y T U. (17).

Interactions between singular points (shock-shock or shock-contact interactions) are treated accurately by solving the appropriate generalized Riemann problem.

By applying the auxiliary principle technique and KKM theory, we suggest an iterative algorithm for solving the generalized strongly nonlinear mixed variational-like inequality.

By applying the auxiliary principle technique and KKM theory, we construct a new iterative algorithm for solving the generalized nonlinear variational-like inequality.

The modified pore pressure and stresses around a borehole in shale are obtained by solving the porothermoelastic field equations in generalized plane strain.

The conditional reliability function, the conditional probability density and moments of first-passage time are obtained by solving the backward Kolmogorov equation and generalized Pontryagin equations with suitable initial and boundary conditions.