Sentence examples for general ode from inspiring English sources
Note that TIDES is a general purpose software, and so it can be apply to general ODE systems, and not only to the HR model.
end{aligned}By general ODE theory, we know that the functions (,alpha mapsto min _{[a,b]}(v_alpha -varphi _0/2),) and (,alpha mapsto theta _alpha,) are continuous on (, 0,,infty ),) and on (,{alpha in (0,,infty ),v_alphaha ge 0 mathrm{in} [a,b]] }), respectively.
As remarked, in the numerical simulations it is possible to use several good general ODE solvers, but the main advantage of the Taylor method in this kind of studies is that it provides most of the requirements we need for the problem, accuracy when needed, easy events detection, direct dense output as a power series and easy implementation of variational equations.
We see that in general ODE models allow for a detailed multiparametric sensitivity/bifurcation analysis.
In general, ODE models for cellular regulatory systems track the populations of only 10's to 100's of chemical species [ 42].
For Western students the Būstān and Gulistān have a special attraction; but Saʿdī is also remembered as a great panegyrist and lyricist and as the author of a number of masterly general odes portraying human experience and also of particular odes such as the lament on the fall of Baghdad after the Mongol invasion in 1258.
The solution for the general polynomial ODE is obtained from the algorithm which is shown to be easily implementable.
Such problems are often well solved by general purpose ODE solvers, but (bio chemical reaction networks offer a number of features that may be exploited by more specialized solvers, resulting in faster and/or more precise simulations.
To this end, we use the CVODE package, a general-purpose ODE solver that uses the adaptive-step Adams-Moulton and backward differentiation method for integration [ 25].
Considerable efforts have been invested in establishing reliable and efficient general-purpose ODE solvers for dynamic systems and to a lesser extent for the associated parameter sensitivities.
Furthermore, in this new setting, the two models do not have to be nested, i. e. one of the models does not have to be a special case of the other, and the models can be general nonlinear ODEs.
