apps.dynamics

Newtons2nd

Related Doc: package dynamics

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

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

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  1. final def !=(arg0: Any): Boolean

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  2. final def ##(): Int

    Definition Classes
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  3. final def ==(arg0: Any): Boolean

    Definition Classes
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  4. val a: Double

  5. val aa: Double

  6. def args: Array[String]

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    protected
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    @deprecatedOverriding( "args should not be overridden" , "2.11.0" )

  7. final def asInstanceOf[T0]: T0

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  8. def clone(): AnyRef

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    protected[java.lang]
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    @throws( ... )

  9. val dt: Double

  10. def dx_dt(t: Double, x: Double): Double

  11. def dy_dt(t: Double, y: Double): Double

  12. final def eq(arg0: AnyRef): Boolean

    Definition Classes
    AnyRef

  13. def equals(arg0: Any): Boolean

    Definition Classes
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  14. def exactSolution(t: Double): VectorD

  15. val executionStart: Long

    Definition Classes
    App

  16. def finalize(): Unit

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    protected[java.lang]
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    @throws( classOf[java.lang.Throwable] )

  17. val g: Double

  18. final def getClass(): Class[_]

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  19. def hashCode(): Int

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  20. final def isInstanceOf[T0]: Boolean

    Definition Classes
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  21. val m: Double

  22. def main(args: Array[String]): Unit

    Definition Classes
    App
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    @deprecatedOverriding( "main should not be overridden" , "2.11.0" )

  23. val n: Int

  24. final def ne(arg0: AnyRef): Boolean

    Definition Classes
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  25. final def notify(): Unit

    Definition Classes
    AnyRef

  26. final def notifyAll(): Unit

    Definition Classes
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  27. val odes: Array[Derivative]

  28. val p0: VectorD

  29. val p_d: MatrixD

  30. val p_e: MatrixD

  31. val p_r: MatrixD

  32. val s: Double

  33. val sf: Double

  34. val ss: Double

  35. final def synchronized[T0](arg0: ⇒ T0): T0

    Definition Classes
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  36. var t: Double

  37. val tm: Double

  38. def toString(): String

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  39. val tt: VectorD

  40. val v0: VectorD

  41. final def wait(): Unit

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  42. final def wait(arg0: Long, arg1: Int): Unit

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  43. final def wait(arg0: Long): Unit

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  1. def delayedInit(body: ⇒ Unit): Unit

    Definition Classes
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    @deprecated
    Deprecated

    (Since version 2.11.0) The delayedInit mechanism will disappear.

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