| Name : perl-Math-RungeKutta
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| Version : 1.07
| Vendor : obs://build_opensuse_org/devel:languages:perl
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| Release : 7.66
| Date : 2024-08-05 18:28:37
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| Group : Development/Libraries/Perl
| Source RPM : perl-Math-RungeKutta-1.07-7.66.src.rpm
|
| Size : 0.05 MB
| |
| Packager : (none)
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| Summary : Integrating Systems of Differential Equations
|
Description :
RungeKutta.pm offers algorithms for the numerical integration of
simultaneous differential equations of the form
dY/dt = F(t,Y)
where Y is an array of variables whose initial values Y(0) are known, and F
is a function known from the dynamics of the problem.
The Runge-Kutta methods all involve evaluating the derivative function
F(t,Y) more than once, at various points within the timestep, and combining
the results to reach an accurate answer for the Y(t+dt). This module only
uses explicit Runge-Kutta methods; the implicit methods involve, at each
timestep, solving a set of simultaneous equations involving both Y(t) and
F(t,Y), and this is generally intractable.
Three main algorithms are offered. _rk2_ is Heun\'s 2nd-order Runge-Kutta
algorithm, which is relatively imprecise, but does have a large range of
stability which might be useful in some problems. _rk4_ is Merson\'s
4th-order Runge-Kutta algorithm, which should be the normal choice in
situations where the step-size must be specified. _rk4_auto_ uses the
step-doubling method to adjust the step-size of _rk4_ automatically to
achieve a specified precision; this saves much fiddling around trying to
choose a good step-size, and can also save CPU time by automatically
increasing the step-size when the solution is changing only slowly.
_Perl_ is not the right language for high-end numerical integration like
global weather simulation, colliding galaxies and so on (if you need
something like this you could check out _xmds_). But as Gear says, \"Many
equations that are solved on digital computers can be classified as trivial
by the fact that even with an inefficient method of solution, little
computer time is used. Economics then dictates that the best method is the
one that minimises the human time of preparation of the program.\"
This module has been designed to be robust and easy to use, and should be
helpful in solving systems of differential equations which arise within a
_Perl_ context, such as economic, financial, demographic or ecological
modelling, mechanical or process dynamics, etc.
Version 1.07
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RPM found in directory: /packages/linux-pbone/ftp5.gwdg.de/pub/opensuse/repositories/devel:/languages:/perl:/CPAN-M/openSUSE_Tumbleweed/noarch |
