apps

dynamics

package dynamics

The dynamics package contains example apps for continuous simulation models based on Ordinary Differential Equations (ODEs) or Partial Differential Equations (PDEs).

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  1. object Newtons2nd extends App

    The Newtons2nd object is used to illustrate the RungeKutta (RK) and DormandPrince (DP) ODE solvers by applying them to Newton's Second Law of Motion, f = ma = -gm.

    The Newtons2nd object is used to illustrate the RungeKutta (RK) and DormandPrince (DP) ODE solvers by applying them to Newton's Second Law of Motion, f = ma = -gm. The flight of a golf ball is simulated from impact until the ball hits the ground. Note, a more realistic simulation would take additional forces into account: drag, lift and spin.

    See also

    http://claymore.engineer.gvsu.edu/~lait/312/golfball.pdf The accurracies of RK and DP versus the exact solution (EX) are compared.

    http://home2.fvcc.edu/~dhicketh/DiffEqns/Spring11projects/Brett_Burglund_Ryan_Street/Diff%20Q/pdfscreen/projectoutline.pdf

  2. object Pathway extends App

    This object is used to simulate a simple chemical pathway for making H2O.

    This object is used to simulate a simple chemical pathway for making H2O.

    See also

    the KINSOLVER Paper: http:// cobweb.cs.uga.edu/~thiab/paper25.pdf

  3. object Pathway2 extends App

    This object is used to simulate a simple plant metabolic pathway.

    This object is used to simulate a simple plant metabolic pathway.

    See also

    Experimental and mathematical approaches to modeling plant metabolic networks Phytochemistry Vol. 68 (2007) pp. 2351–2374, Elsevier Science Direct

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