Sentence examples for transformed solutions from inspiring English sources

The transformed solutions are obtained using the Fourier transform on the space variable.

The transformed solutions are inverted numerically, using a numerical inversion technique to invert the Fourier transform.

For further analysis, statistical temporal moments are derived from the Laplace transformed solutions.

In Section 2, we derive the Lie point symmetries of the DSWS using Lie group analysis and find the transformed solutions.

Assuming the disturbances to be harmonically time dependent, the transformed solution is obtained in the frequency domain.

Numerical approximations to the Fourier transformed solution of partial differential equations are obtained via Monte Carlo simulation of certain random multiplicative cascades.

In the second part analytical solutions for the forced harmonic vibrations of the system are given and the transformed solution for mass impact is inverted numerically for large time.

The inverse of the transformed solution is carried out by applying a method of Bellman et al. The stresses are computed numerically and presented graphically in a number of figures for aluminum epoxy composite material.

Although d M is in this sense invariant under diffeomorphism group, differential equations expressed with d M are not generally invariant under the diffeomorphism group: The invariance of a differential equation, such as d M ω = ρ, means that if ω is a solution, then the transformed solution g*ω is also a solution or d M g*ω = ρ holds [9].

Therefore, the transformed solution is a line that is tangent to the two transformed given circles.

A symmetry group of this system is a local transformation G acting on M ⊂ X × U. which transforms solutions of the system to other solutions.