Packages

  • package root
    Definition Classes
    root
  • package apps
    Definition Classes
    root
  • package dynamics

    The dynamics package contains example applications for continuous simulation models based on Ordinary Differential Equations 'ODE's or Partial Differential Equations 'PDE's.

    The dynamics package contains example applications for continuous simulation models based on Ordinary Differential Equations 'ODE's or Partial Differential Equations 'PDE's.

    Definition Classes
    apps
  • EconomicModel
  • EconomicModelTest
  • Newtons2nd
  • Pathway
  • Pathway2
o

apps.dynamics

Newtons2nd

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 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

claymore.engineer.gvsu.edu/~lait/312/golfball.pdf The accuracies of 'RK' and 'DP' versus the exact solution (EX) are compared. > runMain apps.dynamics.Newtons2nd

Diff%20Q/pdfscreen/projectoutline.pdf

home2.fvcc.edu/~dhicketh/DiffEqns/Spring11projects/Brett_Burglund_Ryan_Street/

Linear Supertypes
App, DelayedInit, AnyRef, Any
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Inherited
  1. Newtons2nd
  2. App
  3. DelayedInit
  4. AnyRef
  5. Any
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Visibility
  1. Public
  2. All

Value Members

  1. val a: Double
  2. val aa: Double
  3. val dt: Double
  4. def dx_dt(t: Double, x: Double): Double
  5. def dy_dt(t: Double, y: Double): Double
  6. def exactSolution(t: Double): VectorD
  7. val executionStart: Long
    Definition Classes
    App
    Annotations
    @deprecatedOverriding( ... , "2.11.0" )
  8. val g: Double
  9. val m: Double
  10. def main(args: Array[String]): Unit
    Definition Classes
    App
    Annotations
    @deprecatedOverriding( "main should not be overridden" , "2.11.0" )
  11. val n: Int
  12. val odes: Array[Derivative]
  13. val p0: VectorD
  14. val p_d: MatrixD
  15. val p_e: MatrixD
  16. val p_r: MatrixD
  17. val s: Double
  18. val sf: Double
  19. val ss: Double
  20. var t: Double
  21. val tm: Double
  22. val tt: VectorD
  23. val v0: VectorD

Deprecated Value Members

  1. def delayedInit(body: ⇒ Unit): Unit
    Definition Classes
    App → DelayedInit
    Annotations
    @deprecated
    Deprecated

    (Since version 2.11.0) the delayedInit mechanism will disappear