initial condition, in some contexts called a seed value,: pp. 160 is a value of an evolving variable at some point in time designated as the initial...
9 KB (1,362 words) - 17:34, 23 August 2023
Butterfly effect (redirect from Sensitive dependence on initial conditions)
reproduce the results of runs with the unrounded initial condition data. A very small change in initial conditions had created a significantly different...
47 KB (5,352 words) - 17:54, 8 August 2024
hyperbolic equation. The solution to the equation and along with the initial condition ∂ u ∂ t + u ∂ u ∂ x = 0 , u ( x , 0 ) = f ( x ) {\displaystyle {\frac...
17 KB (2,794 words) - 13:40, 23 July 2024
multivariable calculus, an initial value problem (IVP) is an ordinary differential equation together with an initial condition which specifies the value...
8 KB (1,375 words) - 04:04, 8 May 2024
by the capillary length. The solution of the equation requires an initial condition for position, and the gradient of the surface at the start point....
16 KB (2,053 words) - 15:39, 27 April 2024
Tornado in Texas?. The flapping wing represents a small change in the initial condition of the system, which causes a chain of events that prevents the predictability...
123 KB (14,110 words) - 22:38, 18 August 2024
when making an ensemble weather forecast: initial condition uncertainty and model uncertainty. Initial condition uncertainty arises due to errors in the...
27 KB (3,307 words) - 12:54, 8 August 2024
^{3}} , which needs extra conditions on the growth behavior of the initial condition and the solutions. In order to rule out the problems at infinity,...
29 KB (5,196 words) - 08:56, 18 April 2024
kernel, is a solution of the heat equation corresponding to the initial condition of an initial point source of heat at a known position. These can be used...
58 KB (9,836 words) - 07:28, 11 August 2024
solution is y(t) = 0, which is obtained for the initial condition y(0) = 0. Beginning with another initial condition y(0) = y0 ≠ 0, the solution y(t) tends toward...
18 KB (3,044 words) - 19:03, 10 July 2024