Sentence examples for together with the solution from inspiring English sources

A state space formulation of the dynamic problem is presented in general terms, together with the solution of the seismic problem via the modal decomposition method.

Together with the solution φ o ( x, λ ) of (1.4) we introduce the second solution f o ( x, λ ), which is known as the Jost solution.

In this paper the inverse problem of finding the time-dependent coefficient of heat capacity together with the solution of heat equation with nonlocal boundary conditions is considered.

More importantly, little is now known about the systematic analyses on the issue of stability of numerical methods regarding fractional calculus, together with the solution techniques for high-dimensional fractional reaction-diffusion equations, most especially for nonlinear equations.

In this paper the inverse problem of finding the time-dependent coefficient of heat capacity together with the solution of a heat equation with periodic boundary and integral overdetermination conditions is considered.

Together with the solution of Taxol-stabilised MT seeds, we introduced 4 nM of Taxol to the extract (see Materials and methods).

Thus, high efficiency and accuracy of central difference scheme can be ultimately enjoyed together with the solution-adaptive property.

Their main characteristics are summarized in Table 1. Figure 1 shows the datasets with 3 and 10 clusters, together with the optimal solutions achieved by DAN. Figure 1 Second and third datasets of TS/1, together with the solutions achieved by DAN using log 10  = 3 (each cluster has been colored with a different color).

In this article we have outlined the common soft tissue problems associated with the use of external fixators for fractures and deformities of the tibia, together with the solutions we have adopted for prophylaxis and treatment.

To illustrate how the method works, Figures 1. (a-d) represent the contour plots of an arbitrary objective function to be optimized (e.g., a least squares function in the case of parameter estimation), together with the solutions which constitute the RefSet and their evolution.

In Figure 1 we show the comparison among the solutions obtained with ADER-Prim, ADER-Cons and ADER-Char, together with the exact solution provided in Toro (1999).