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

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

Linear Supertypes
App, DelayedInit, AnyRef, Any
Ordering
  1. Alphabetic
  2. By inheritance
Inherited
  1. Newtons2nd
  2. App
  3. DelayedInit
  4. AnyRef
  5. Any
  1. Hide All
  2. Show all
Learn more about member selection
Visibility
  1. Public
  2. All

Value Members

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

    Definition Classes
    AnyRef → Any

  2. final def ##(): Int

    Definition Classes
    AnyRef → Any

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

    Definition Classes
    AnyRef → Any

  4. val a: Double

  5. val aa: Double

  6. def args: Array[String]

    Attributes
    protected
    Definition Classes
    App
    Annotations
    @deprecatedOverriding( "args should not be overridden" , "2.11.0" )

  7. final def asInstanceOf[T0]: T0

    Definition Classes
    Any

  8. def clone(): AnyRef

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @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
    AnyRef → Any

  14. def exactSolution(t: Double): VectorD

  15. val executionStart: Long

    Definition Classes
    App

  16. def finalize(): Unit

    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )

  17. val g: Double

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

    Definition Classes
    AnyRef → Any

  19. def hashCode(): Int

    Definition Classes
    AnyRef → Any

  20. final def isInstanceOf[T0]: Boolean

    Definition Classes
    Any

  21. val m: Double

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

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

  23. val n: Int

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

    Definition Classes
    AnyRef

  25. final def notify(): Unit

    Definition Classes
    AnyRef

  26. final def notifyAll(): Unit

    Definition Classes
    AnyRef

  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
    AnyRef

  36. var t: Double

  37. val tm: Double

  38. def toString(): String

    Definition Classes
    AnyRef → Any

  39. val tt: VectorD

  40. val v0: VectorD

  41. final def wait(): Unit

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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

    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

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.

Inherited from App

Inherited from DelayedInit

Inherited from AnyRef

Inherited from Any

Ungrouped