Sentence examples for evolution of the numerical from inspiring English sources

Figure 1 Evolution of the numerical solution in (pmb{t in[0,0.55]}).

(4.1). Figure 1 shows the evolution of the numerical solution of (4.1) with a space step size 0.01, whose blow-up time turns out to be (T = 0.56).

Despite the evolution of the numerical hydrodynamic models, hardware performance and computer technologies the accurate forecasting of storm surges and decision support for gates maneuvering is still an important issue.

The study provides a clear match between the evolution of the theoretical and the numerical tensile and compression normal stresses, being of sinusoidal behaviour.

This evolution omits the numerical solution of the underlying PDE and successfully approximates it with a rule-based evolution.

Both the ability of the model to capture the processes essential to the nonlinear wave evolution, and the efficiency of the numerical implementations are analyzed and discussed.

(E) State of evolution fast LF at Nit=80 and PDE approximation at T=706.8. Figure 4 shows the dice coefficient between the first 80 steps of the fast LS evolution and the corresponding state of the numerical approximation.

The chromosomal abnormalities presented in the diagnosis of patients, who showed evolution of disease, included the numerical chromosomal abnormalities −7, +8, and the structural abnormalities del 6q), del 7q), i 7q), t(7 9), i 9q), del(11q), and complex karyotypes.

This approach is validated by comparing the ability of these distributions to reproduce the evolution of the scalar PDF from Direct Numerical Simulations of three-component passive scalar mixing in isotropic turbulence with 11 different initial conditions that are representative of a wide range of mixing conditions of interest.

Further advances in Thermal Barrier Coating (TBC) design are linked with the evolution of numerical models for TBCs.

Ω1 is the state of the fast LS evolution, and Ω2 is the state of the numerical solution.