Intel ODE Solver Library

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Functions list: rkm9st(5), mk52lfn(5), mk52lfa(5), rkm9mkn(5), rkm9mka(5).


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.


Arguments:

- 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).
- 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.
- 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.
- D is a vector function of the form D(x,y) specifying the right-hand side of the system



iode.examples.sm (205kb) downloaded 195 time(s).
iode.kinetic1.sm (8kb) downloaded 109 time(s).
iode.kinetic2.sm (15kb) downloaded 89 time(s).
iode.kinetic3.sm (15kb) downloaded 92 time(s).
iode.integrate.sm (11kb) downloaded 102 time(s).
iode.test1.sm (23kb) downloaded 98 time(s).
iode.test2.sm (23kb) downloaded 87 time(s).
iode.Amplitude detector.sm (21kb) downloaded 98 time(s).
Box_models.sm (101kb) downloaded 74 time(s).

iode.examples.pdf (417kb) downloaded 156 time(s).
iode.kinetic1.pdf (75kb) downloaded 87 time(s).
iode.kinetic2.pdf (91kb) downloaded 64 time(s).
iode.kinetic3.pdf (89kb) downloaded 67 time(s).
iode.integrate.pdf (89kb) downloaded 74 time(s).
iode.test1.pdf (117kb) downloaded 71 time(s).
iode.test2.pdf (122kb) downloaded 68 time(s).
iode.Amplitude detector.pdf (148kb) downloaded 71 time(s).
Box_models.pdf (146kb) downloaded 58 time(s).

Documents:

Intel ODE Solver Library Reference Manual (2018).pdf (240kb) downloaded 47 time(s).

See also:

● Mathcad Toolbox
● DotNumerics
● SADEL
● Matlab C++ Math Library
● OSLO
● lsoda
● GNU Scientific Library (GSL)

Edited by user 14 July 2022 12:48:44(UTC)  | Reason: Not specified

From recollection,NONE ODE solve that one.
Cheers ... Jean.

ODE rkfixed Pulse Pitfall.sm (38kb) downloaded 25 time(s).

I should have guessed that . Thank you.

Plugin updated.

Changes:

- solution restructured;
- converting the task for the ODE solver to the numerical form is now performed through the Mathcad Toolbox plugin (to avoid code duplication), so it must be installed;
- refactored.

Solvers that support mathematical notation now reuse code from the Mathcad Toolbox plugin. Now there is no need to recompile every such plugin.