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...

reproduce the results of runs with the unrounded initial condition data. A very small change in initial conditions had created a significantly different...

multivariable calculus, an initial value problem (IVP) is an ordinary differential equation together with an initial condition which specifies the value...

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...

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....

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...

carbon cycle, atmospheric chemistry, land use etc. can be perturbed. Initial condition ensembles involve the same model in terms of the same atmospheric...

^{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,...

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...

when making an ensemble weather forecast: initial condition uncertainty and model uncertainty. Initial condition uncertainty arises due to errors in the...