Список функций: rkfixed() , Rkadapt() ,rkm9st() , mk52lfn() , mk52lfa() , rkm9mkn() , rkm9mka() . Решатели нежёстких систем ОДУ :
rkfixed(init, x1, x2, intvls, D) Uses the fourth-order Runge-Kutta fixed-step method.
Rkadapt(init, x1, x2, intvls, D) Uses the fourth-order Runge-Kutta with adaptive step-size.
Intel ODE Solvers Library :
rkm9st(init, x1, x2, intvls, D) A specialized routine for solving non-stiff and middle-stiff ODE systems using the explicit method, which is based on the 4th order Merson’s method and the 1st order multistage method of up to and including 9 stages with stability control.
mk52lfn(init, x1, x2, intvls, D) A specialized routine for solving stiff ODE systems using the implicit method based on L-stable (5,2)-method with the numerical Jacobi matrix, which is computed by the routine.
mk52lfa(init, x1, x2, intvls, D) A specialized routine for solving stiff ODE systems using the implicit method based on L-stable (5,2)-method with numerical or analytical computation of the Jacobi matrix. The user must provide a routine for this computation.
rkm9mkn(init, x1, x2, intvls, D) A specialized routine for solving ODE systems with a variable or a priori unknown stiffness; automatically chooses the explicit or implicit scheme in every step and computes the numerical Jacobi matrix when necessary.
rkm9mka(init, x1, x2, intvls, D) A specialized routine for solving ODE systems with a variable or a priori unknown stiffness; automatically chooses the explicit or implicit scheme in every step. The user must provide a routine for numerical or analytical computation of the Jacobi matrix.
Параметры :
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init is either a vector of n real initial values, where n is the number of unknowns (or a single scalar initial value, in the case of a single ODE - not implemented yet).
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x1 and
x2 are real, scalar endpoints of the interval over which the solution to the ODE(s) is evaluated. Initial values in init are the values of the ODE function(s) evaluated at x1.
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intvls is the integer number of discretization intervals used to interpolate the solution function. The number of solution points is the number of intervals + 1.
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D is a vector function of the form D(x,y) specifying the right-hand side of the system
Ссылки :
1.
Intel ODE Solvers Library .
Отредактировано пользователем 23 августа 2013 г. 17:13:03(UTC)
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