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As an indication of the presence of chaos in the dynamics resulting from this system, we evaluate the largest Lyapunov exponent of the map (22)–(23) by numerically evolving a tangent vector and computing its rate of growth (or contraction); see e.g. [32] for details.
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The level set approach represents surfaces implicitly, and advects them by evolving a level set function, which is numerically defined on an Eulerian grid.
We will find optimal values of β by numerically solving a boundary value problem.
The closed curve iteratively evolves by numerically solving partial differential equations.
Ca2+ entry, diffusion and buffering were simulated by numerically integrating differential equations using an explicit finite-difference (Euler) method with a fixed time step (0.03 μs) and an elementary integration volume (i.e. voxels).
We can find the stable fixed point by numerically integrating (2) forwards for a long time.
The reaction kinetics following radical production is evolved numerically, confirming a reduction in ignition delay comparable to that seen in the experiments.
Although it might appear that the measurement of a non-zero implies a clear violation of quantum mechanics12, De Raedt et al.13 demonstrated by numerically solving Maxwell's equations that a non-zero value of can exist without such violation.
Simulation results were obtained by numerically integrating the model equations with a stiff ODE solver method (ode15s).
The contact radius (a) is found by numerically solving the following equation: where n = 23/2/π for a pyramid-shaped probe.
The SeSAW score is reported, along with a P-value computed by numerically integrating the known distribution of scores.
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